https://artofproblemsolving.com/wiki/api.php?action=feedcontributions&user=Moab33&feedformat=atomAoPS Wiki - User contributions [en]2019-12-07T21:55:03ZUser contributionsMediaWiki 1.31.1https://artofproblemsolving.com/wiki/index.php?title=User:Moab33&diff=103631User:Moab332019-02-20T20:40:01Z<p>Moab33: Replaced content with "I exist."</p>
<hr />
<div>I exist.</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=98423Gmaas2018-10-30T21:11:07Z<p>Moab33: nobody is superior to gmaas</p>
<hr />
<div> :) :O :P {{{=== Gmaas Facts ===}}} P: O: :) :) *MLG* *AWESOME* *OP<br />
<br />
- Gmaas has the following powers: trout, carp, earthworm, and catfish. Gmaas never uses any of them, because Gmaas has an infinite number of powers.<br />
<br />
- Gmaas would like to go to Taco Bell, but Gmaas goes to Wendy's instead. No one knows why.<br />
<br />
-Gmaas real name is Grayson Maas. He is the CCO of AoPS. <br />
<p><br />
- Gmaas has a pet pufferfish named Pafferfash EDIT: he also has a goldfish named Sylgar (D&D reference)<br />
</p><br />
- Gmaas has colonized the universe<br />
<br />
-Gmaas is a person<br />
<br />
- Gmaas can eat your hand. <br />
<br />
- According to the Interuniversal Gmaas Society, 17.548 percent of universe population thinks that Gmaas is spelled "Gmass"<br />
<br />
- Wasp5 is Gmaas' Priest<br />
<br />
- Gmaas likes to surprise unsuspecting people.<br />
<br />
- Gmaas loves sparkly mechanical pencils. <br />
<br />
- The bible of Gmaas is this page, and people go to worship Gmaas in the Maas.<br />
<br />
- Gmaas is said to taste like a furry meatball (this was said by BigSams)<br />
<br />
-Gmaas is Johnny Johnny's Papa.<br />
<br />
-Gmaas is in you, and Gmaas is you.<br />
<br />
-Gmaas always remembers to dab on dem haters<br />
<br />
-Gmaas is both living and nonliving<br />
<br />
<br />
-gmaas is quasiomnipotent. he cannot comprehend the stupidity of humans.<br />
<br />
- ALL HAIL THE GMAAS CLOUD<br />
<br />
-some things are beyond possible human comprehension. nothing is beyond gmaas<br />
<br />
-Gmaas ate azazoth and resides at his throne when he feels like it<br />
<br />
- Leon2000 is Gmaas' Rabbi.<br />
<br />
- Gmaas is both singular and plural.<br />
<br />
- Gmaas eats disbelievers like donutvan for breakfast. (Yet I'm somehow still alive. Do you think Gmaas actually ate my soul?)<br />
<br />
- Gmaas knows Jon Snow's parents.<br />
<br />
- Gmaas is Aegon VI Targaryen.<br />
<br />
- Gmaas created the Marvel Universe.<br />
<br />
- All editors will be escorted to Gmaas heaven after they die.<br />
<br />
- Gmaas won all the wars.<br />
<br />
- Gmail was named after Gmaas.<br />
<br />
- Google was named after Gmaas.<br />
<br />
- Gmaas disapproves of the DC universe.<br />
<br />
- Gmass ate mathleticguyyy<br />
<br />
- Gmaas won Battle For Dream Island, and also Total Drama Island.<br />
<br />
- Somehow Gmaas exsits at all places at the same time<br />
<br />
- Gmaas can lift with Gmaas' will.<br />
<br />
- Gmaas is also the rightful heir to the Iron Throne.<br />
<br />
- Gmaas was once a card in Clash Royale but it was too OP so they had to remove it.<br />
<br />
- Gmaas is actually Teemo in League of Legends because Gmaas made LoL and they made a honorary Gmaas character<br />
<br />
- Gmaas started the Game of Thrones.<br />
<br />
- Gmaas will also end the Game of Thrones.<br />
<br />
- Gmaas killed Joffrey.<br />
<br />
- Gmaas is Azor Ahai.<br />
<br />
- Gmaas is the prince who was promised.<br />
<br />
- Gmaas created everything after puking.<br />
<br />
- Gordan's last name was named after Gmaas.<br />
<br />
- Gmaas is more powerful than Gohan.<br />
<br />
- Gmaas is over 90000 years old.<br />
<br />
- Gmaas has 100000000000000000000000000000000000000000000000 cat lives, maybe even more. Gmaas has 0 dog lives.<br />
<br />
- Who wrote ''Harry Potter''? None other than Gmaas himself.<br />
<br />
- Gmaas created the catfish.<br />
<br />
- Gmaas has proven that the universe is infinite and has traveled to the edge of the universe in 0.0000000000000000000000000...0000001 seconds<br />
<br />
- Gmaas founded Target, but then Gmaas sued them for making the mascot look like a dog when it was supposed to look like Gmaas. <br />
EDIT: They went broke because Gmaas sued them but then Gmaas ate a fudge popsicle that made him super hyper and he made Target not broke anymore in his hyperness<br />
<br />
- Everyone has a bit of Gmaas inside them.<br />
<br />
- Gmaas likes to eat popsicles. Especially the fudge ones that get him hyper.<br />
<br />
- When Gmaas is hyper Gmaas runs across Washington D.C. grabbing unsuspecting pedestrians and steals their phone, hacks into them and downloads PubG onto their poor phone.<br />
<br />
- Gmaas' favorite cereal is fruit loops. Gmaas thinks it tastes like unicorns jumping on rainbows.<br />
<br />
- Gmaas thinks that the McChicken has way too much mayonnaise.<br />
<br />
- Gmaas is a champion pillow-fighter.<br />
<br />
<br />
− <br />
- Gmaas colonized Mars.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas also colonized Jupiter, Pluto, and several other galaxies. Gmaas cloned some little Gmaas robots (with Gmaas' amazingly robotic skill of coding) and put them all over a galaxy called Gmaasalaxy. <br />
<br />
− <br />
EDIT: Gmaas colonized the universe<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has the ability to make every device play "The Duck Song" at will.<br />
<br />
− <br />
<br />
<br />
− <br />
- "The Duck Song" was copied off of the "Gmaas song", but the animators though Gmaas wasn't catchy enough.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas once caught the red dot and ate it.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas' favorite color is neon klfhsadkhfd.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas can create wormholes and false vacuums<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is a champion pvp Minecraft player.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is the coach of Tfue, Ninja, Muselk, and Myth.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmass caught a CP 6000 Mewtwo with a normal Pokeball in Pokemon Go.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas founded Costco.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas does not need to attend the FIFA World Cup. If Gmaas did, Gmaas would automatically beat any team.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas can solve any puzzle instantly besides the 3x3 Rubik's Cube.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas caught a CP 20,000 Mewtwo with a normal Pokeball and no berries blindfolded first try in Pokemon Go. <br />
<br />
− <br />
<br />
<br />
− <br />
- When Gmaas flips coins, they always land tails. Except once when Gmaas was making a bet with Zeus.<br />
<br />
− <br />
<br />
<br />
− <br />
- On Gmaas's math tests, Gmaas always gets <math>\infty</math>.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas' favorite number is pi. It's also one of Gmaas' favorite foods. <br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas' burps created all gaseous planets.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmass beat Luke Robatille in an epic showdown of catnip consumption.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas' wealth is unknown, but it is estimated to be way more than Scrooge's.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has a summer house on Mars. <br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has a winter house on Jupiter.<br />
<br />
− <br />
<br />
<br />
− <br />
- The Earth and all known planets are simply Gmaas' hairballs.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas attended Harvard, Yale, Stanford, MIT, UC Berkeley, Princeton, Columbia, and Caltech at the same time using a time-turner.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas also attended Hogwarts and was a prefect. Edit: Gmaas was headmaster.<br />
<br />
− <br />
<br />
<br />
− <br />
- Mrs.Norris is Gmaas's archenemy.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is a demigod and attends Camp Half-Blood over summer. Gmaas is the counselor for the Apollo cabin. Because cats are demigod counselors too.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has completed over 2,000 quests, and is very popular throughout Camp Half-Blood. Gmaas has also been to Camp Jupiter.<br />
<br />
− <br />
EDIT: Gmaas is the child of all the gods (including the minor gods)<br />
<br />
− <br />
<br />
<br />
− <br />
- Percy Jackson was only able to complete his quests because Gmaas helped him<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas painted the Mona Lisa, The Last Supper, and A Starry Night.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmass knows that their real names are Gmassa Lisa, The Last Domestic Meal, and Far-away Light.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas actually attended all the Ivy Leagues.<br />
<br />
− <br />
<br />
<br />
− <br />
- I am Gmaas.<br />
<br />
− <br />
<br />
<br />
− <br />
- I too am Gmaas.<br />
<br />
− <br />
<br />
<br />
− <br />
- In 2018, Gmaas once challenged Magnus Carlsen to a chess match. Gmaas won every game. <br />
<br />
− <br />
<br />
<br />
− <br />
- But it is I who is Gmaas.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is us all.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is all of us yet none of us.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas was captured by the infamous j3370 in 2017 but was released due to sympathy. EDIT: j3370 only captured his concrete form, his abstract form cannot be processed by a feeble human brain.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas's fur is White, Black, Grey, Yellow, Red, Blue, Green, Brown, Pink, Orange, and Purple all at the same time. <br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas crossed the event horizon of a black hole and ended up in the AoPS universe.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas crossed the Delaware River with Washington.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas also crossed the Atlantic with the pilgrims.<br />
<br />
− <br />
<br />
<br />
− <br />
- If you are able to capture a Gmaas hair, Gmaas will give you some of his Gmaas power.<br />
<br />
− <br />
<br />
<br />
− <br />
- Chuck Norris makes Gmaas jokes.<br />
<br />
− <br />
EDIT: The jokes all praise Gmaas<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is also the ruler of Oceania, Eastasia, and Eurasia.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas killed Big Brother by farting on him. Though Gmaas was caught by the Ministry of Love, Gmaas escaped easily. <br />
<br />
− <br />
EDIT: Gmaas destroyed the Ministry of Love.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas was not affected by Thano's snap, in fact Gmaas is the creator of the Infinity Stones. <br />
<br />
− <br />
<br />
<br />
− <br />
- Everyone knows that Gmaas is a god.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas also owns Animal Farm. Napoleon was Gmaas servant.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is the only one who knows where Amelia Earhart is.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is the only cat that has been proven transcendental.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas happened to notice http://artofproblemsolving.com/community/c402403h1598015p9983782 and is not very happy about it.<br />
<br />
− <br />
<br />
<br />
− <br />
- Grumpy cat reads Gmaas memes. EDIT: Grumpy cat then steals them and claims they're his. Gmaas isn't very happy about that, either.<br />
<br />
− <br />
<br />
<br />
− <br />
- The real reason why AIME cutoffs aren't out yet is because Gmaas refused to grade them due to too much problem misplacement.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas dueled Grumpy Cat and won. Gmaas wasn't trying.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas sits on the statue of Pallas and says forevermore.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is a big fan of Edgar Allan Poe, because he is actually Poe. <br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas does merely not use USD. He owns it.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas really knows that Roblox is awful and does not play it seriously, thank Gmaas our lord is sane<br />
<br />
− <br />
<br />
<br />
− <br />
- The only god is Gmaas.<br />
<br />
− <br />
<br />
<br />
− <br />
- In 2003, Gmaas used elliptical curves to force his reign over AoPS.<br />
<br />
− <br />
<br />
<br />
− <br />
- "Actually, my name is spelled "GMAAS".<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is the smartest living being in the universe.<br />
<br />
− <br />
<br />
<br />
− <br />
- It was Gmaas who helped Sun Wukong on the Journey to the West.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is the real creator of Wikipedia.<br />
<br />
− <br />
<br />
<br />
− <br />
- It is said Gmaas could hack any website he desires.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is the basis of Greek mythology and also Egyptian mythology.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas once sold Google to a man for around <math>12</math> dollars!<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas uses a HP printer. It is specifically a HP 21414144124124142141414412412414214141441241241421414144124124142141414412412414 printer.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas owns all AoPS staff including Richard Rusczyk.<br />
<br />
− <br />
<br />
<br />
− <br />
- Richard Rusczyk is one of Gmaas' many code names.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas was there when Yoda was born.<br />
<br />
− <br />
EDIT: Gmaas is Yoda's father<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas's true number of lives left is unknown; however, Gmaas recently confirmed that he had at least one left. Why doesn't Gmaas have so many more lives than other cats? The power of Gmaas. Edit: This is all not true.<br />
<br />
− <br />
<br />
<br />
− <br />
- sseraj once spelled Gmaas as gmASS on accident in Introduction to Geometry (1532).<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas actively plays Roblox, and is a globally ranked professional gamer: https://www.roblox.com/users/29708533/profile...but he hates Roblox.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has beaten Chuck Norris and The Rock and John Cena all together in a fight.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is a South Korean, North Korean, Palestinian, Israeli, U.S., Soviet, Russian, and Chinese citizen at the same time. EDIT: Gmaas has now been found out to be a citizen of every country in the world. Gmaas seems to enjoy the country of AOPS best, however.<br />
<br />
− <br />
<br />
<br />
− <br />
- "I am sand" destroyed Gmaas in FTW.<br />
<br />
− <br />
<br />
<br />
− <br />
- sseraj posted a picture of Gmaas with a game controller in Introduction to Geometry (1532).<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas plays roblox mobile edition and likes Minecraft, Candy Crush, and Club Penguin Rewritten. He also <math>\boxed{\text{loves}}</math> <b>Cat</b>ch that fish.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is Roy Moore's horse in the shape of a cat.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is a known roblox/club penguin rewritten player and is a legend at it. He has over <math>289547987693</math> robux and <math>190348</math> in CPR.<br />
<br />
− <br />
<br />
<br />
− <br />
- This is all hypothetical.<br />
<br />
− <br />
<br />
<br />
− <br />
- EDIT: This is all factual.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas's real name is Princess. He has a sibling named Rusty/Fireheart/Firestar<br />
<br />
− <br />
(Warrior cats reference).<br />
<br />
− <br />
<br />
<br />
− <br />
- He is capable of salmon powers, according to PunSpark (ask him).<br />
<br />
− <br />
<br />
<br />
− <br />
- The Gmaas told Richard Rusczyk to make AoPS.<br />
<br />
− <br />
<br />
<br />
− <br />
- The Gmaas is everything. Yes, you are part of the Gmaas-Dw789.<br />
<br />
− <br />
<br />
<br />
− <br />
- The Gmaas knows every dimension up to 9999999999999999999999999999999999999999999999999999999999999999999999999999999999th dimension.<br />
<br />
− <br />
<br />
<br />
− <br />
- He went into a black hole, entered the white hole, got into dimension 15 where people drink tea every day, and stole 154 buckets of tea.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is "TIRED OF PEOPLE ADDING TO HIS PAGE!!" (Maas 45).<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is Gmaas who is actually Gmaas.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has a penguin servant named sm24136 who runs GMAASINC. The penguin may or may not be dead. His other penguin is called PotatoPenguin19. He is most definitely alive.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas owns a TARDIS, and can sometimes be seen traveling to other times for reasons unknown.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas knows how to hack into top secret aops community pages.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas was a river clan cat who crossed the event horizon of a black hole and came out the other end!<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is king of the first men, the anduls.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is a well known professor at MEOWston Academy.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is also the CEO of Caterpillar.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas drinks Starbucks everyday.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is a Tuna addict, along with other, more potent fish such as Salmon and Trout.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas won the reward of being cutest and fattest cat ever--he surpassed grumpy cat. (He also out-grumped grumpy cat!!!)<br />
<br />
− <br />
<br />
<br />
− <br />
- Last sighting 1665 Algebra-A 3/9/18 at 9:08 PM.<br />
<br />
− <br />
<br />
<br />
− <br />
- The owner of sseraj, not pet.<br />
<br />
− <br />
<br />
<br />
− <br />
- The embodiment of life and universe and beyond.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas watches memes of Gmaas.<br />
<br />
− <br />
<br />
<br />
− <br />
- After Death became the GOD OF HYPERDEATH and obtained over 9000 souls.<br />
<br />
− <br />
<br />
<br />
− <br />
-Gmaas invented Rick Rolling.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas's real name is Pablo Diego José Francisco de Paula Juan Nepomuceno María de los Remedios Cipriano de la Santísima Trinidad Ruiz y Picasso [STOP RICK ROLLING. (Source)].<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is a certified Slytherin.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas once slept on sseraj's private water bed, so sseraj locked him in the bathroom. <br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has superpowers that allow him to overcome the horrors of Mr. Toilet (while he was locked in the bathroom).<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas once sat on an orange on a pile of AoPS books, causing an orange flavored equation explosion.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas once conquered the moon and imprinted his face on it until asteroids came.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is a supreme overlord who must be given <math>10^{1000000000000000000000^{1000000000000000000000}}</math> minecraft DIAMONDS.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is the Doctor Who lord; he sports Dalek-painted cars and eats human finger cheese and custard, plus black holes.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is everyone's favorite animal. <br />
<br />
− <br />
<br />
<br />
− <br />
- He lives with sseraj. <br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is my favorite pokemon.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas dislikes number theory but enjoys geometry.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is cool.<br />
<br />
− <br />
<br />
<br />
− <br />
- He is often overfed (with probability <math>\frac{3972}{7891}</math>), or malnourished (with probability <math>\frac{3919}{7891}</math>) by sseraj.<br />
<br />
− <br />
<br />
<br />
− <br />
- He has <cmath>\sum_{k=1}^{267795} [k(k+1)]+GMAAS+GMAAAAAAAS</cmath> supercars, excluding the Purrari and the 138838383 Teslas. <br />
<br />
− <br />
<br />
<br />
− <br />
- He employs AoPS.<br />
<br />
− <br />
<br />
<br />
− <br />
- He is a Gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
− <br />
<br />
<br />
− <br />
- He has the ability to divide by zero.<br />
<br />
− <br />
<br />
<br />
− <br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
− <br />
<br />
<br />
− <br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
− <br />
<br />
<br />
− <br />
- His stare also turned Medusa into rock, King Midas into gold, and sseraj into sseraj.<br />
<br />
− <br />
<br />
<br />
− <br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
− <br />
<br />
<br />
− <br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
− <br />
<br />
<br />
− <br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
− <br />
<br />
<br />
− <br />
- Actually, Gmaas is a cat. Gmaas said so. And science also says so.<br />
<br />
− <br />
<br />
<br />
− <br />
- He is distant relative of Mathcat1234.<br />
<br />
− <br />
<br />
<br />
− <br />
- He cannot be Force choked. Darth Vader learned that the hard way...<br />
<br />
− <br />
<br />
<br />
− <br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
− <br />
<br />
<br />
− <br />
- His favorite food is AoPS textbooks because they help him digest problems.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
− <br />
<br />
<br />
− <br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
− <br />
<br />
<br />
− <br />
- Then he ate all the food in sseraj's freezer.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmass once demanded Epic Games to give him 5,000,000 V-bucks for his 569823rd birthday.<br />
<br />
− <br />
<br />
<br />
− <br />
- This is why he does not have an Epic Games account anymore.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas created Epic games, though.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas sightings are not very common. There have only been 30 confirmed sightings of Gmaas in the wild.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is a sage omniscient cat.<br />
<br />
− <br />
<br />
<br />
− <br />
- He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
− <br />
<br />
<br />
− <br />
- Places where Gmaas sightings have happened: <br />
<br />
− <br />
~The Royal Scoop ice cream store in Bonita Beach Florida<br />
<br />
− <br />
<br />
<br />
− <br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
<br />
− <br />
<br />
<br />
− <br />
-Prealgebra 2 (1440)<br />
<br />
− <br />
<br />
<br />
− <br />
~Alligator Swamp A 1072 <br />
<br />
− <br />
<br />
<br />
− <br />
~Alligator Swamp B 1073<br />
<br />
− <br />
<br />
<br />
− <br />
~Prealgebra A (1488)<br />
<br />
− <br />
<br />
<br />
− <br />
~Introduction to Algebra A (1170)<br />
<br />
− <br />
<br />
<br />
− <br />
~Introduction to Algebra B (1529)<br />
<br />
− <br />
<br />
<br />
− <br />
~Welcome to Panda Town Gate 1076<br />
<br />
− <br />
<br />
<br />
− <br />
~Welcome to Gmaas Town Gate 1221<br />
<br />
− <br />
<br />
<br />
− <br />
~Welcome to Gmaas Town Gate 1125<br />
<br />
− <br />
<br />
<br />
− <br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
<br />
− <br />
<br />
<br />
− <br />
~The other side of the ice in Antarctica<br />
<br />
− <br />
<br />
<br />
− <br />
~Feisty Alligator Swamp 1115<br />
<br />
− <br />
<br />
<br />
− <br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
<br />
− <br />
<br />
<br />
− <br />
~Introduction to Counting and Probability 1142 <br />
<br />
− <br />
<br />
<br />
− <br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
<br />
− <br />
<br />
<br />
− <br />
~Intermediate Counting and Probability 1137<br />
<br />
− <br />
<br />
<br />
− <br />
~Intermediate Counting and Probability 1207<br />
<br />
− <br />
<br />
<br />
− <br />
~Posting student surveys<br />
<br />
− <br />
<br />
<br />
− <br />
~USF Castle Walls - Elven Tribe 1203<br />
<br />
− <br />
<br />
<br />
− <br />
~Dark Lord's Hut 1210<br />
<br />
− <br />
<br />
<br />
− <br />
~AMC 10 Problem Series 1200<br />
<br />
− <br />
<br />
<br />
− <br />
~Intermediate Number Theory 1138<br />
<br />
− <br />
<br />
<br />
− <br />
~Intermediate Number Theory 1476<br />
<br />
− <br />
<br />
<br />
− <br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
<br />
− <br />
<br />
<br />
− <br />
~Algebra B 1112<br />
<br />
− <br />
<br />
<br />
− <br />
~Intermediate Algebra 1561 7:17 PM 12/11/16<br />
<br />
− <br />
<br />
<br />
− <br />
~Nowhere Else, Tasmania<br />
<br />
− <br />
<br />
<br />
− <br />
~Earth Dimension C-137<br />
<br />
− <br />
<br />
<br />
− <br />
~Geometry 1694 at 1616 PST military time. There was a boy riding him, and he seemed extremely miffed.<br />
<br />
− <br />
<br />
<br />
− <br />
~Intermediate Algebra 1710 9/24/2018<br />
<br />
− <br />
<br />
<br />
− <br />
<br />
<br />
− <br />
- These have all been designated as the most glorious sections of AoPSland now (especially the USF castle walls), but deforestation is so far from threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has randomly been known to have sent his minions into Prealgebra 2 1163. However, the danger is passed, that class is over.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas once snuck into sseraj's email so he could give pianoman24 an extension in Introduction to Number Theory 1204. This was 1204 minutes after his sighting on 7/27/16.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas also has randomly appeared on top of the USF's Tribal Bases(he seems to prefer the Void Tribe). However, the next day there is normally a puddle in the shape of a cat's underbelly wherever he was sighted. Nobody knows what this does. <br />
<br />
− <br />
<br />
<br />
− <br />
EDIT: Nobody has yet seen him atop a tribal base yet.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
− <br />
<br />
<br />
− <br />
EDIT: Gmaas rarely disguises himself as a penguin.<br />
<br />
− <br />
<br />
<br />
− <br />
- Many know that leafy stole dream island. In truth, After leafy stole it, Gmaas stole it himself. (BFDI Reference)<br />
<br />
− <br />
<br />
<br />
− <br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
− <br />
<br />
<br />
− <br />
EDIT: He IS an AoPS site admin.<br />
<br />
− <br />
<br />
<br />
− <br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
− <br />
<br />
<br />
− <br />
- Is this the real life? Is this just fantasy? No. This is Gmaas, the legend.<br />
<br />
− <br />
<br />
<br />
− <br />
- Aha!! An impostor!! <br />
<br />
− <br />
http://www.salford.ac.uk/environment-life-sciences/research/applied-archaeology/greater-manchester-archaeological-advisory-service<br />
<br />
− <br />
(look at the acronym).<br />
<br />
− <br />
GREATER MANCHESTER ARCHAEOLOGICAL ADVISORY SERVICE... GMAAS Illuminatis confirms87<br />
<br />
− <br />
<br />
<br />
− <br />
- EDIT. The above fact is slightly irrelevant.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas might have been viewing (with a <math>\frac{99999.\overline{9}}{100000}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday. If you do a sci-fi version of USF, then prepare to meet your Overpowered soldier with amazing weapons one day.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is neither he nor she, Gmaas is above gender.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is love, Gmaas is life<br />
<br />
− <br />
<br />
<br />
− <br />
- The name of Gmaas is so powerful, it radiates Deja Mew.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is on the list of "Elusive Creatures." If you have questions or want the full list, contact moab33.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
<br />
− <br />
<br />
<br />
− <br />
- EDIT: The above fact is incorrect. math101010 has done this and commented with screenshot proof at the below link, and Gmaas was not summoned.<br />
<br />
− <br />
https://artofproblemsolving.com/community/c287916h1291232<br />
<br />
− <br />
<br />
<br />
− <br />
- EDIT EDIT: The above 'proof' is non-conclusive. math101010 had only put an approximation.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas's left eye contains the singularity of a black hole. (Only when everyone in the world blinks at the same time within a nano-nano second.)<br />
<br />
− <br />
<br />
<br />
− <br />
- EDIT: That has never happened and thus it does not contain the singularity of a black hole.<br />
<br />
− <br />
<br />
<br />
− <br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure. <br />
<br />
− <br />
<br />
<br />
− <br />
- Despite common belief, Harry Potter did not defeat Lord Voldemort. Gmaas did.<br />
<br />
− <br />
<br />
<br />
− <br />
- The original owner of Gmaas is Gmaas.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas was not the fourth Peverell brother, but he ascended into a higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.) EDIT: he wasn't the fourth Peverell brother, but he was a cousin of theirs, and he was the one who advised Ignotus to give up his cloak.<br />
<br />
− <br />
<br />
<br />
− <br />
- It is suspected that Gmaas may be ordering his cyber hairballs to take the forums, along with microbots.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas rarely frequents the headquarters of the Illuminati. He was their symbol for one yoctosecond, but soon decided that the job was too low for his power to be wasted on.<br />
<br />
− <br />
<br />
<br />
− <br />
- It has been wondered if Gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
− <br />
<br />
<br />
− <br />
- Edit: Gmaas is neither Anakin Skywalker or Obi-Wan Kenobi as he is trillions of years older.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
− <br />
<br />
<br />
− <br />
- It has been confirmed that gmaas uses gmewal as his email service.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas enjoys wearing gmean shorts.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. That was the 15 minutes after he tried to play Taylor Swift music on his 34,000 year old MP3 player in front of sseraj, who, at the time, was handling a bucket of dangerous, radioactive material.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is well known behind his stage name, Michael Stevens (also known as Vsauce XD), or his page name, Purrshanks. EDIT: Crookshanks was his brother.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas rekt sseraj at 12:54 June 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
− <br />
<br />
<br />
− <br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seen the Dark Lord's hut knows that both Gmaas and the DL (USF code name of the Dark Lord) love BBC. How Gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
− <br />
<br />
<br />
− <br />
- The TV has been noticed to be invincible. Many USF weapons, even volcano rings, have tried (and failed) to destroy it. The last time it was seen was on a Kobold display case outside of a mine. The display case was crushed, and a report showed a spy running off with a non-crushed TV.<br />
<br />
− <br />
<br />
<br />
− <br />
- The reason why Dacammel left the USF is that gmaas entrusted his TV to him, and not wanting to be discovered by LF, Cobra, or Z9, dacammel chose to leave the USF, but is regretting it, as snakes keep spawning from the TV.<br />
<br />
− <br />
<br />
<br />
− <br />
- EDIT: The above fact is somewhat irrelevant.<br />
<br />
− <br />
<br />
<br />
− <br />
- EDIT EDIT. Dacammel gave the TV back to gmaas, and he left the dark side and their cookies alone. <br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is a Super Duper Uper Cat Time Lord. He has <math>57843504</math> regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2\cdot267794=57843504</cmath>. <br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas highly enjoys destroying squeaky toys until he finds the squeaky part, then destroys the squeaky part.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas loves to eat turnips. At <math>\frac{13}{32}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has a secret hidden garden full of turnips under sseraj's house.<br />
<br />
− <br />
<br />
<br />
− <br />
- sseraj is "gmaas's person."<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has three tails, one for everyday life, one for special occasions, and one that's invisible.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is a dangerous creature. If you ever meet him, immediately join his army or you will be killed.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is in alliance with the Cult of Skaro. How did he get an alliance with ruthless creatures that want to kill everything in sight? Nobody knows (except him), not even the leader of the Cult of Skaro.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas lives in Gallifrey and in Gotham City (he has sleepovers with Batman).<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is an excellent driver. EDIT: he was to one who designed the driver's license test, although he didn't bother with the permit test.<br />
<br />
− <br />
<br />
<br />
− <br />
-The native location of Gmaas is the twilight zone.<br />
<br />
− <br />
<br />
<br />
− <br />
- Donald Trump once sang "All Hail the Chief" to Gmaas, 3 days after being sworn in as US President.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas likes to talk with rrusczyk from time to time.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas can shoot fire from his smelly butt.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is the reason why the USF has the longest thread on AoPS.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmass is an avid watcher of the popular T.V. show "Bernie Sanders and the Gauntlet of DOOM".<br />
<br />
− <br />
<br />
<br />
− <br />
- sseraj, in 1521 Introduction to Number Theory, posted an image of Gmaas after saying "Who wants to see 5space?" at around 5:16 PM Mountain Time, noting Gmaas was "also 5space".<br />
<br />
− <br />
<br />
<br />
− <br />
- EDIT: he also did it in Introduction to Algebra A once.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is now my HD background on my Mac. <br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is not retarded.<br />
<br />
− <br />
<br />
<br />
− <br />
- In 1521 Into to Number Theory, sseraj posted an image of a 5space Gmaas fusion. (First sighting) <br />
<br />
− <br />
<br />
<br />
− <br />
- Also confirmed that Gmaas doesn't like ketchup because it was the only food left the photo.<br />
<br />
− <br />
<br />
<br />
− <br />
- In 1447 Intro to Geometry, sseraj posted a picture of Gmaas with a rubik's cube suggesting that Gmaas's has an average solve time of <math>-GMAAS</math> seconds.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas beat Superman in a fight with ease.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas was an admin of Roblox.<br />
<br />
− <br />
<br />
<br />
− <br />
EDIT: He created Roblox.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas traveled around the world, paying so much <math>MONEY</math> just to eat :D<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is a confirmed Apex predator and should not be approached, unless in a domestic form.<br />
<br />
− <br />
Summary:<br />
<br />
− <br />
<br />
<br />
− <br />
- When Gmaas subtracts <math>0.\overline{99}</math> from <math>1</math>, the difference is greater than <math>0</math>.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas was shown to have fallen on Wed Aug 23 2017: https://ibb.co/bNrtmk https://ibb.co/jzUDmk<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas died on August ,24, 2017, but fortunately IceParrot revived him after about 2 mins of being dead.<br />
<br />
− <br />
<br />
<br />
− <br />
- The results of the revival are top secret, and nobody knows what happened.<br />
<br />
− <br />
<br />
<br />
− <br />
- sseraj, in 1496 Prealgebra 2, said that Gmaas is Santacat.<br />
<br />
− <br />
<br />
<br />
− <br />
- sseraj likes to post a picture of gmaas in every class he passes by.<br />
<br />
− <br />
<br />
<br />
− <br />
- sseraj posted a picture of Gmaas as an Ewok, suggesting he resides on the moon of Endor. Unfortunately, the moon of Endor is also uninhabitable ever since the wreckage of the Death Star changed the climate there. It is thought Gmaas is now wandering space in search for a home.<br />
<br />
− <br />
EDIT: What evidence is there Endor was affected? Other Ewoks still live there.<br />
<br />
− <br />
EDIT EDIT: also, glass doesn't care. He can live there no matter what the climate is.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is the lord of the pokemans.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas can communicate with, and sometimes control any other cats, however this is very rare, as cats normally have a very strong will.<br />
<br />
− <br />
<br />
<br />
− <br />
- Picture of Gmaas http://i.imgur.com/PP9xi.png<br />
<br />
− <br />
<br />
<br />
− <br />
- Known by Mike Miller.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas got mad at sseraj once, so he locked him in his own freezer.<br />
<br />
− <br />
<br />
<br />
− <br />
- Then, sseraj decided to eat all of Gmaas's hidden turnips in the freezer as punishment.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmass ate slester.<br />
<br />
− <br />
<br />
<br />
− <br />
- A gmass bite is 7000 psi.<br />
<br />
− <br />
<br />
<br />
− <br />
- haha0201 met him.<br />
<br />
− <br />
<br />
<br />
− <br />
- haha0201 comfirms that gmass can talk.<br />
<br />
− <br />
<br />
<br />
− <br />
- gmass likes to eat fur.<br />
<br />
− <br />
<br />
<br />
− <br />
- gmass is bigger than an ant.<br />
<br />
− <br />
<br />
<br />
− <br />
- gmass lives somewhere over the rainbow.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is an obviously omnipotent cat.<br />
<br />
− <br />
<br />
<br />
− <br />
- ehawk11 met him.<br />
<br />
− <br />
<br />
<br />
− <br />
- sseraj is known to post pictures of Gmaas on various AoPS classrooms. It is not known if these photos have been altered with the editing program called 'Photoshop'.<br />
<br />
− <br />
<br />
<br />
− <br />
- sseraj has posted pictures of gmaas in '"intro to algebra", before class started, with the title, "caption contest". anyone who posted a caption mysteriously vanished in the middle of the night. <br />
<br />
− <br />
EDIT: This has happened many times, including in Introduction to Geometry 1533, among other active classes. The person writing this (Poeshuman) did participate, and did not disappear. (You could argue Gmaas is typing this through his/her account...)<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has once slept in your bed and made it gry.<br />
<br />
− <br />
<br />
<br />
− <br />
- It is rumored that rrusczyk is actually Gmaas in disguise.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is suspected to be a Mewtwo in disguise.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is a cat but has characteristics of every other animal on Earth.<br />
<br />
− <br />
<br />
<br />
− <br />
- Pegasus was modeled off Gmaas.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is the ruler of the universe and has been known to be the creator of the species "Gmaasians".<br />
<br />
− <br />
<br />
<br />
− <br />
- There is a rumor that Gmaas is starting a poll.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is a rumored past ThunderClan cat who ran away, founded GmaasClan, then became a kittypet.<br />
<br />
− <br />
<br />
<br />
− <br />
- There is a rumored sport called "Gmaas Hunting" where people try to successfully capture gmaas in the wild with video/camera/eyes. Strangely, no one has been able to do this, and those that have have mysteriously disappeared into the night. Nobody knows why. The person who is writing this(g1zq) has tried Gmaas Hunting, but has never been successful.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas burped and caused an earthquake.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas once drank from your pretty teacup.<br />
<br />
− <br />
<br />
<br />
− <br />
- GMAAS IS HERE.... PURRRRRRRRRRRRRRRRRRRR<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmass made, and currently owns the Matrix.<br />
<br />
− <br />
<br />
<br />
− <br />
- The above fact is true. Therefore, this is an illusion.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is the reason Salah will become better than Ronaldo.<br />
<br />
− <br />
<br />
<br />
− <br />
- Who is Gmaas, really?<br />
<br />
− <br />
Gmass is a heavenly being.<br />
<br />
− <br />
<br />
<br />
− <br />
- Illuminati was a manifestation of Gmaas, but Gmass decided illuminati was not great enough for his godly self.<br />
<br />
− <br />
<br />
<br />
− <br />
- jlikemath has met Gmaas and Gmaas is his best friend.<br />
<br />
− <br />
<br />
<br />
− <br />
EDIT: jlikemath is Gmaas's great great great great great grandson<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas hates K-pop<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas read Twilight EDIT: ...and SURVIVED.<br />
<br />
− <br />
<br />
<br />
− <br />
- there is a secret code when put into super smash, Gmass would be a playible character. Too bad he didn't say it.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas was a tribute to one of the Hunger Games and came out a Victor and now lives in District 4.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is the only known creature to survive the destruction of earth in 99999999 years.<br />
<br />
− <br />
<br />
<br />
− <br />
- 5space (side admin) is another one of Gmaas's slaves <br />
<br />
− <br />
<br />
<br />
− <br />
=== Gmaas photos ===<br />
<br />
− <br />
http://cdn.artofproblemsolving.com/images/f/f/8/ff8efef3a0d2eb51254634e54bec215b948a1bba.jpg<br />
<br />
− <br />
http://disneycreate.wikia.com/wiki/File:Troll_cat_gif_(1).gif <br />
<br />
− <br />
<br />
<br />
− <br />
He was also sighted here.<br />
<br />
− <br />
<br />
<br />
− <br />
=== gmaas in Popular Culture ===<br />
<br />
− <br />
<br />
<br />
− <br />
- <s>Currently, is being written (by themoocow) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".</s>Sorry, this was a rick roll troll.<br />
<br />
− <br />
<br />
<br />
− <br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
− <br />
<br />
<br />
− <br />
- Sullymath and themoocow are also writing a book about Gmaas.<br />
<br />
− <br />
<br />
<br />
− <br />
- Sighting of Gmaas: https://2017.spaceappschallenge.org/challenges/warning-danger-ahead/and-you-can-help-fight-fires/teams/gmaas/project<br />
<br />
− <br />
<br />
<br />
− <br />
- Oryx the mad god is actually gmass wearing a suit of armor. This explains why he is never truly killed.<br />
<br />
− <br />
<br />
<br />
− <br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles.<br />
<br />
− <br />
<br />
<br />
− <br />
- gmaas was an un-credited actor in the Doctor Who story Knock Knock, playing a Dryad. How he shrunk, we will never know.<br />
<br />
− <br />
<br />
<br />
− <br />
- oadaegan is also writing a story about him. He is continuing the book that was started by JpusheenS. when he is done he will post it here.<br />
<br />
− <br />
<br />
<br />
− <br />
-Gmaas is a time traveler from 0.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 B.C.<br />
<br />
− <br />
<br />
<br />
− <br />
- No one knows if Gmass is a Mr. mime in a cat skin, the other way around, or just a downright combination of both.<br />
<br />
− <br />
<br />
<br />
− <br />
- In it, it mentions these four links as things Gmass is having trouble (specifically technical difficulties). What could it mean? Links:<br />
<br />
− <br />
https://docs.google.com/document/d/1NZ0XcFYm80sA-fAoxnm7ulMCwdNU75Va_6ZjRHfSHV0<br />
<br />
− <br />
https://docs.google.com/document/d/1ELN7ORauFFv1dwpU_u-ah_dFJHeuJ3szYxoeC1LlDQg/<br />
<br />
− <br />
https://docs.google.com/document/d/1oy9Q3F7fygHw-OCWNEVE8d-Uob2dxVACFcGUcLmk3fA<br />
<br />
− <br />
https://docs.google.com/document/d/1jzb9Q6FmDmrRyXwnik3e0sYw5bTPMo7aBwugmUbA13o<br />
<br />
− <br />
<br />
<br />
− <br />
<br />
<br />
− <br />
- Another possible Gmaas sighting [https://2017.spaceappschallenge.org/challenges/warning-danger-ahead/and-you-can-help-fight-fires/teams/gmaas/project]<br />
<br />
− <br />
<br />
<br />
− <br />
- <math>Another</math> sighting? [https://www.radarbox24.com/data/flights/GMAAS]<br />
<br />
− <br />
- Yet Another Gmaas sighting ? [https://supportforums.cisco.com/t5/user/viewprofilepage/user-id/45046]<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has been sighted several times on the Global Announcements forum.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas uses the following transportation: <img> http://cdn.artofproblemsolving.com/images/3/6/8/368da4e615ea3476355ee3388b39f30a48b8dd48.jpg </img><br />
<br />
− <br />
<br />
<br />
− <br />
- When Gmaas was mad, he started world wars 1 & 2. It is only because of Gmaas that we have not had World War 3.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is the only cat to have been proved irrational and transcendental, though we suspect all cats fall in the first category.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas plays Geometry Dash and shares an account with Springhill, his username is D3m0nG4m1n9.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmass has beaten every demon in Geometry Dash along with their unnerfed versions and every upcoming demon too.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas likes to whiz on the wilzo.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has been spotted in AMC 8 Basics.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is cool.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas hemoon card that does over 9000000 dmg.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is a skilled swordsman who should not to be mistaken for Puss in Boots. Some say he even trained the mysterious and valiant Meta Knight.<br />
<br />
− <br />
<br />
<br />
− <br />
- Kirby once swallowed Gmaas. Gmaas had to spit him out.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas was the creator of pokemon, and his pokemon card can OHKO anyone in one turn. He is invisible and he will always move first.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas beat Dongmin in The Genius Game Seasons 1, 2, 3, 4, 5, 6, and 7.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has five letters. Pizza also has five letters. Pizzas are round. Eyes are round. There is an eye in the illuminati symbol. iLLuMiNaTii cOnFiRmEdd.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas knows both 'table' and 'tabular' in LaTeX, and can do them in his sleep. <br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas hates crawdads with the passion of a thousand burning stars. <br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas does not hate cheddar cheese. But he doesn't love it either. <br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is a cat and not a cat.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas was born on the sun.<br />
<br />
− <br />
EDIT: Not the sun, the sunS. He was born on all the suns at once<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas eats tape.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas likes Bubble Gum.<br />
<br />
− <br />
<br />
<br />
− <br />
- Thomas Edison did not invent the lightbulb; Gmaas did.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas eats metal.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas is over 9000 years old!<br />
<br />
− <br />
- EDIT: this is just a DBZ reference, and bears no reality to his true age.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas started the Iron Age.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas made the dinosaurs go extinct.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas created Life... <br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas created AoPS.<br />
<br />
− <br />
- EDIT: AoPS was actually born out of a small fraction of Gmass's abstract reality, and only the sheer amount math can keep it here, (it is also rumored that when he reclaims it, the USF will be deleted, as that is where 83% of the factions of his abstract reality lives, and when people leave USF, more and more escapes.)<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas does not like Roblox.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas told Steve Jobs to start a company.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas invented Geometry Dash.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas got to <math>infty</math> in Flappy Bird.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas invented Helix Jump.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas can play Happy Birthday on the Violin.<br />
<br />
− <br />
<br />
<br />
− <br />
- Gmaas has mastered Paganini<br />
<br />
- Gmaas discovered Atlantis after one dive underwater.<br />
<br />
- Gmaas made a piano with 89 keys.<br />
<br />
- Gmaas can see the future and change it.<br />
<br />
- Gmaas has every super power you can imagine.<br />
EDIT: Gmaas has more superpowers than you can imagine<br />
<br />
- Gmaas made a Violin with 9 strings.<br />
<br />
- Gmaas can somehow read 5 books at once<br />
<br />
- Gmaas eats rubber bands.<br />
<br />
- Gmaas married Mrs. Norris.<br />
EDIT: Mrs. Norris is his second worst enemy and his wife<br />
<br />
- Gmaas can fly faster than anything.<br />
<br />
- Grumpy cat is his son.<br />
EDIT: Grumpy cat is his worst enemy and his son<br />
<br />
- Gmaas eats paper.<br />
<br />
- Gmaas likes lollipops.<br />
<br />
- Gmaas nibbles on pencils.<br />
<br />
- Gmaas is alive.<br />
<br />
- Gmaas is Ninja in Fortnite.<br />
EDIT: Gmaas possesses Ninja in Fortnite<br />
<br />
- Gmaas is love, Gmaas is life<br />
<br />
<math>\text{gmaas is watching you\dots}</math></div>Moab33https://artofproblemsolving.com/wiki/index.php?title=TPA%27s_equality&diff=98284TPA's equality2018-10-25T22:27:12Z<p>Moab33: Go ask tpa for clarification before labelling it as "fake</p>
<hr />
<div>'''TPA's equality''', also known as the TPA-snek equality, is an equality discovered by AoPS user thepiercingarrow in 2017, said to have been inspired from doing calculus with snek.<br />
<br />
<br />
− '''DISCLAIMER: THIS IS DEFINITELY A REAL EQUALITY AND YOU CAN TOTALLY USE THIS ON THE AMO NEXT YEAR'''<br />
<br />
− <br />
<br />
− ==Inequality==<br />
<br />
− Let <math>F</math> be any symmetric inequality involving positive numbers. Let <math>x_1, \cdots,x_n</math> be the parts of that inequality. In contest space, if <math>F</math> achieves the equality then it is for <math>x_1 = \cdots = x_n.</math><br />
<br />
− <br />
<br />
− ==Proof==<br />
<br />
− The proof of TPA's equality is very complicated. It requires using quantum computing to search all inequalities over contest space and checking the verity of the TPA equality for each one. A program was developed by alifenix- in TPA-Snek Labs in Equestria, and ran on the TPA-Snek quantum computer. This program is now open-sourced and available for anyone to run. It can be found on the TPA-Snek Labs main website.<br />
<br />
− <br />
<br />
− ==Problems==<br />
<br />
− <br />
<br />
− ===Introductory===<br />
<br />
− Prove the equality case of AM-GM using TPA's equality.<br />
<br />
− <br />
<br />
− ===Intermediate===<br />
<br />
− * Prove that for any <math>\triangle ABC</math>, we have the maximum of <math>\sin{A}+\sin{B}+\sin{C}</math> is <math>\frac{3\sqrt{3}}{2}</math>.<br />
<br />
− <br />
<br />
− ===Olympiad===<br />
<br />
− *Let <math>a,b,c</math> be positive real numbers. Prove that the minimum of <math>\frac{a}{\sqrt{a^{2}+8bc}}+\frac{b}{\sqrt{b^{2}+8ca}}+\frac{c}{\sqrt{c^{2}+8ab}}</math> is <math>1</math> ([[2001 IMO Problems/Problem 2|Source]])<br />
<br />
− <br />
<br />
− ==Extension to all reals==<br />
<br />
− *Consider <math>x^4+y^4 - 2 (x^2 +y^2) + x y \ge-\frac{25}{8}</math>. When x is set equal to y then there is no solution for x and y that satisfies the equality. However when taking <math>(x,y)=\left(\frac{\sqrt{5}}{2},-\frac{\sqrt{5}}{2} \right)</math> the equality does hold. This leads us to think that given a 2 var inequality for all reals, we find the equality case when the variables are additive inverses.<br />
<br />
− <br />
<br />
− ==Clarification of Domain of TPA's equality==<br />
<br />
− *Consider <math>x^4+y^4 - 2 (x^2 +y^2) + x y+4 x^2 y^2 \ge-\frac{9}{8}</math>. When x is set equal to y then there is no solution for x and y that satisfies the equality. However when taking <math>(x,y)=\left( \frac{1}{4}\left(\sqrt{2}-\sqrt{6}\right), \frac{1}{4}\left(\sqrt{2}+\sqrt{6}\right) \right)</math> the equality does hold so it is a strict equality. This is because <math>- 2 (x^2 +y^2)</math> is not positive, and thus this does not count as an inequality involving positive parts.</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=96880Gmaas2018-08-08T23:46:16Z<p>Moab33: </p>
<hr />
<div> :) :O :P {{{=== Gmaas Facts ===}}} :) :O :P<br />
-Gmaas has the following powers: trout, carp, earthworm, and catfish. He never uses any of them, because he has an infinite number of powers.<br />
<br />
-gmaas knows jon snow's parents<br />
<br />
-gmaas is aegon VI targaryen<br />
<br />
- gmaas is also the rightful heir to the iron throne<br />
<br />
- gmaas started the game of thrones <br />
<br />
- Gmaas will also end the game of thrones<br />
<br />
- Gmaas killed Joffrey<br />
<br />
- Gmaas is azor ahai<br />
<br />
-gmaas is the prince who was promised<br />
<br />
- gmaas created everything after puking <br />
<br />
-Gmaas is Gordon Maas (5Space) <br />
<br />
- gmaas is more powerful than gohan<br />
<br />
- gmaas is over 90000 years old<br />
<br />
-Gmaas has 100000000000000000000000000000000000000000000000 cat lives, maybe even more. He has 0 dog lives.<br />
<br />
-Who wrote ''Harry Potter''? None other than Gmaas himself.<br />
<br />
-Gmaas created the catfish.<br />
<br />
-Gmaas founded Target, but then Gmaas sued them for making the mascot look like a dog when it was supposed to look like Gmaas. <br />
<br />
-Everyone has a bit of Gmaas inside them. EDIT: Except you. You are pure Gmaas. <br />
<br />
-Gmaas likes to eat popsicles. Especially the fudge ones that get him hyper. When he is hyper he runs across Washington D.C. grabbing unsuspecting pedestrians and steals their phone, hacks into them and downloads Fortnite onto their poor phone.<br />
<br />
-Gmaas' favorite cereal is fruit loops. Gmaas thinks it tastes like unicorns jumping on rainbows<br />
<br />
-Gmaas thinks that the McChicken has way too much mayonnaise<br />
<br />
-Gmaas is a champion pillow-fighter.<br />
<br />
-Gmaas colonized Mars.<br />
<br />
-He also colonized Jupiter, Pluto, and several other galaxies. He cloned some little Gmaas robots (with his amazingly robotic skill of coding) and put them all over a galaxy called Gmaasalaxy. <br />
<br />
-Gmaas has the ability to make every device play "The Duck Song" at will.<br />
<br />
-Gmaas once caught the red dot and ate it.<br />
<br />
-Gmaas' favorite color is neon klfhsadkhfd.<br />
<br />
-Gmaas is a champion pvp Minecraft player<br />
<br />
-Gmass caught a CP 6000 Mewtwo with a normal Pokeball in Pokemon Go.<br />
<br />
-Gmaas founded Costco.<br />
<br />
-Gmaas does not need to attend the FIFA World Cup. If he did, he would automatically beat any team.<br />
<br />
-Gmaas can solve any puzzle instantly besides the 3x3 Rubik's Cube.<br />
<br />
-Gmaas caught a CP 20,000 Mewtwo with a normal Pokeball and no berries blindfolded first try in Pokemon Go. <br />
<br />
-When Gmaas flips coins, they always land tails. Except once when he was making a bet with Zeus.<br />
<br />
-On Gmaas's math tests, he always gets 101.777777777777777777777777777777777777777777777777777701%<br />
<br />
-Gmaas' favorite number is pi. It's also one of his favorite foods. <br />
<br />
-Gmaas' burps created all gaseous planets.<br />
<br />
-Gmass beat Luke Robatille in an epic showdown of catnip consumption.<br />
<br />
- Gmaas' wealth is unknown, but it is estimated to be way more than Scrooge's.<br />
<br />
- Gmaas has a summer house on Mars. <br />
<br />
-Gmaas attended Harvard, Yale, Stanford, MIT, UC Berkeley, Princeton, Columbia, and Caltech at the same time, using a time-turner.<br />
<br />
-Gmaas also attended Hogwarts and was a prefect. Edit: he was headmaster.<br />
<br />
<br />
-Mrs.Norris is Gmaas's archenemy.<br />
<br />
-Gmaas is a demigod and attends Camp Half-Blood over summer. He is the counselor for the Apollo cabin. Because cats are demigod counselors too.<br />
<br />
-Gmaas has completed over 2,000 quests, and is very popular throughout Camp Half-Blood. He has also been to Camp Jupiter.<br />
<br />
-Gmaas painted the Mona Lisa, The Last Supper, and A Starry Night.<br />
<br />
-Gmass knows that the real names are Gmassa Lisa, The Last Domestic Meal, and Far-away Light.<br />
<br />
-Gmaas actually attended all the Ivy Leagues.<br />
<br />
- I am Gmaas<br />
<br />
- I too am Gmaas<br />
<br />
- In 2018, gmaas once challenged Magnus Carlsen to a chess match. gmaas won every game. <br />
<br />
- But it is I who is Gmaas<br />
<br />
- Gmaas is us all<br />
<br />
- Gmaas is all of us yet none of us<br />
<br />
- Gmaas was captured by the infamous j3370 in 2017 but was released due to sympathy. EDIT: j3370 only captured his concrete form, his abstract form cannot be processed by a feeble human brain<br />
<br />
- Gmaas's fur is purple and yellow and red and green and orange and blue and brown and pink all at the same time. <br />
<br />
- Gmaas crossed the event horizon of a black hole and ended up in the AoPS universe.<br />
<br />
- Gmaas crossed the Delaware River with Washington.<br />
<br />
- Gmaas also crossed the Atlantic with the pilgrims.<br />
<br />
- if you are able to capture a Gmaas hair, he will give you some of his gmaas power.<br />
<br />
- Chuck norris makes Gmaas jokes.<br />
<br />
- Gmaas is also the ruler of Oceania, Eastasia, and Eurasia (1984 reference)<br />
<br />
- Gmaas killed Big Brother by farting on him. Though he was caught by the Ministry of Love, he escaped easily. Edit: he destroyed the Ministry of Love.<br />
<br />
-Gmaas was not affected by Thano's snap, in fact he is the creator of the Infinity Stones. <br />
<br />
- Everyone thinks that Gmaas is a god<br />
<br />
- Gmaas also owns Animal Farm. Napoleon was his servant.<br />
<br />
- Gmaas is the only one who knows where Amelia Earhart is.<br />
<br />
- Gmaas is the only cat that has been proven transcendental.<br />
<br />
- Gmaas happened to notice http://artofproblemsolving.com/community/c402403h1598015p9983782 and is not very happy about it.<br />
<br />
- Grumpy cat reads Gmaas memes. EDIT: Grumpy cat then steals them and claims they're his. Gmaas isn't very happy about that, either.<br />
<br />
- The real reason why AIME cutoffs aren't out yet is because Gmaas refused to grade them due to too much problem misplacement.<br />
<br />
- Gmaas dueled Grumpy Cat and lost. He wasn't trying.<br />
<br />
- Gmaas sits on the statue of pallas and says forevermore (the Raven refrence )<br />
<br />
- Gmaas is a big fan of Edgar Allan Poe, because he is actually Poe. <br />
<br />
- Gmaas does merely not use USD. He owns it.<br />
<br />
- Gmaas really knows that Roblox is awful and does not play it seriously, thank god our lord is sane<br />
<br />
- In 2003, Gmaas used elliptical curves to force his reign over AoPS.<br />
<br />
- "Actually, my name is spelled GMAAS"<br />
<br />
- Gmaas is the smartest living being in the universe.<br />
<br />
- It was Gmaas who helped Sun Wukong on the Journey to the West.<br />
<br />
- Gmaas is the real creator of Wikipedia.<br />
<br />
-It is said Gmaas could hack any website he desires.<br />
<br />
-Gmaas is the basis of Greek mythology and also Egyptian mythology.<br />
<br />
-Gmaas once sold Google to a man for around <math>12</math> dollars!<br />
<br />
-Gmaas uses a HP printer. It is specifically a HP 2141414412412414 Printer<br />
<br />
-Gmaas owns all AoPS staff including Richard Rusczyk.<br />
<br />
-Gmaas was there when Yoda was born.<br />
<br />
- Gmaas's true number of lives left is unknown; however, Gmaas recently confirmed that he had at least one left. Why doesn't Gmaas have so many more lives than other cats? The power of Gmaas. Edit: This is all not true.<br />
<br />
- sseraj once spelled Gmaas as gmASS on accident in Introduction to Geometry (1532).<br />
<br />
-Gmaas actively plays Roblox, and is a globally ranked professional gamer: https://www.roblox.com/users/29708533/profile...but he hates Roblox.<br />
<br />
-Gmaas has beaten Chuck Norris and The Rock and John Cena all together in a fight.<br />
<br />
-Gmaas is a South Korean, North Korean, Palestinian, Israeli, U.S., and Soviet citizen at the same time. EDIT: Gmaas has now been found out to be a citizen of every country in the world. Gmaas seems to enjoy the country of AOPS best, however.<br />
<br />
-"i am sand" destroyed Gmaas in FTW<br />
<br />
- sseraj posted a picture of gmaas with a game controller in Introduction to Geometry (1532).<br />
<br />
-Gmaas plays roblox mobile edition and likes Minecraft, Candy Crush, and Club Penguin Rewritten. He also <math>\boxed{\text{loves}}</math> <b>Cat</b>ch that fish.<br />
<br />
-Gmaas is Roy Moore's horse in the shape of a cat<br />
<br />
-Gmaas is a known roblox/club penguin rewritten player and is a legend at it. He has over <math>289547987693</math> robux and <math>190348</math> in CPR.<br />
<br />
-This is all hypothetical.<br />
<br />
- EDIT: This is all factual <br />
<br />
-Gmaas's real name is Princess. He has a sibling named Rusty/Fireheart/Firestar<br />
(Warrior cats reference)<br />
<br />
- He is capable of salmon powers, according to PunSpark (ask him)<br />
<br />
-The Gmaas told Richard Rusczyk to make AoPS<br />
<br />
-The Gmaas is everything. Yes, you are part of the Gmaas-Dw789<br />
<br />
-The Gmaas knows every dimension up to 9999999999999999999999999999999999999999999999999999999999999999999999999999999999th dimension.<br />
<br />
-Certain theories provide evidence that he IS darth plagueis the wise.<br />
<br />
-Gmaas is "TIRED OF PEOPLE ADDING TO HIS PAGE!!" (Maas 45).<br />
<br />
-Gmaas has multiple accounts; some of them are pifinity, cyumi, srej, squareman, Electro3.0, sturdywill, g1zq, alleycat, Equinox8, PotatoPenguin19, anc3, batta, beastgert, and lakecomo224. His best account, though, is wlm7, later renamed to "gmail.com". Jlordhe is his spam account<br />
<br />
-Gmaas has a penguin servant named sm24136 who runs GMAASINC. The penguin may or may not be dead. His other penguin is called PotatoPenguin19. He is alive. (And watching u!)<br />
<br />
-Gmaas owns a TARDIS, and can sometimes be seen traveling to other times for reasons unknown.<br />
<br />
-Gmaas knows how to hack into top secret aops community pages.<br />
<br />
-Gmaas was a river clant cat who crossed the event horizon of a black hole and came out the other end!<br />
<br />
-Gmaas is king of the first men, the anduls.<br />
<br />
-Gmaas is a well known professor at MEOWston Academy.<br />
<br />
-Gmaas is also the CEO of Caterpillar.<br />
<br />
-Gmaas drinks Starbucks everyday.<br />
<br />
-Gmaas is a Tuna addict, along with other, more potent fish such as Salmon and Trout.<br />
<br />
-Gmaas won the reward of being cutest and fattest cat ever--he surpassed grumpy cat. (He also out-grumped grumpy cat!!!)<br />
<br />
-Last sighting 1665 Algebra-A 3/9/18 at 9:08 PM.<br />
<br />
- owner of sseraj, not pet.<br />
<br />
- embodiment of life and universe and beyond .<br />
<br />
- Watches memes.<br />
<br />
-After Death became the GOD OF HYPERDEATH and obtained over 9000 souls.<br />
<br />
-Gmaas's real name is Pablo Diego José Francisco de Paula Juan Nepomuceno María de los Remedios Cipriano de la Santísima Trinidad Ruiz y Picasso [STOP RICK ROLLING. (Source)]<br />
<br />
-Gmaas is a certified Slytherin.<br />
<br />
-Gmaas once slept on sseraj's private water bed, so sseraj locked him in the bathroom <br />
<br />
-Gmaas has superpowers that allow him to overcome the horrors of Mr. Toilet (while he was locked in the bathroom)<br />
<br />
- Gmaas once sat on an orange on a pile of AoPS books, causing an orange flavored equation explosion.<br />
<br />
-Gmaas once conquered the moon and imprinted his face on it until asteroids came.<br />
<br />
-Gmaas is a supreme overlord who must be given <math>10^{1000000000000000000000^{1000000000000000000000}}</math> minecraft DIAMONDS<br />
<br />
- gmaas is the Doctor Who lord; he sports Dalek-painted cars and eats human finger cheese and custard, plus black holes.<br />
<br />
- Gmaas is everyone's favorite animal. <br />
<br />
- He lives with sseraj. <br />
<br />
-Gmaas is my favorite pokemon<br />
<br />
-Gmaas dislikes number theory but enjoys geometry.<br />
<br />
- Gmaas is cool<br />
<br />
- He is often overfed (with probability <math>\frac{3972}{7891}</math>), or malnourished (with probability <math>\frac{3919}{7891}</math>) by sseraj.<br />
<br />
- He has <cmath>\sum_{k=1}^{267795} [k(k+1)]+GMAAS+GMAAAAAAAS</cmath> supercars, excluding the Purrari and the 138838383 Teslas. <br />
<br />
- He is an employee of AoPS.<br />
<br />
- He is a gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
- He has the ability to divide by zero.<br />
<br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
- His stare also turned Medusa into rock, King Midas into gold, and sseraj into sseraj.<br />
<br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
- Actually, he is a cat. He said so. And science also says so.<br />
<br />
- He is distant relative of Mathcat1234.<br />
<br />
- He cannot be Force choked. Darth Vader learned that the hard way...<br />
<br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
- His favorite food is AoPS textbooks because they help him digest problems.<br />
<br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
- Then he ate all the food in sseraj's freezer.<br />
<br />
- Gmass once demanded Epic Games to give him 5,000,000 V-bucks for his 569823rd birthday.<br />
<br />
- This is why he does not have an Epic Games account anymore.<br />
<br />
- Gmaas sightings are not very common. There have only been 8 confirmed sightings of Gmaas in the wild.<br />
<br />
- Gmaas is a sage omniscient cat.<br />
<br />
- He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
- Places where gmaas sightings have happened: <br />
~The Royal Scoop ice cream store in Bonita Beach Florida<br />
<br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
<br />
-Prealgebra 2 (1440)<br />
<br />
~Alligator Swamp A 1072 <br />
<br />
~Alligator Swamp B 1073<br />
<br />
~Prealgebra A (1488)<br />
<br />
~Introduction to Algebra A (1170)<br />
<br />
~Introduction to Algebra B (1529)<br />
<br />
~Welcome to Panda Town Gate 1076<br />
<br />
~Welcome to Gmaas Town Gate 1221<br />
<br />
~Welcome to Gmaas Town Gate 1125<br />
<br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
<br />
~The other side of the ice in Antarctica<br />
<br />
~Feisty Alligator Swamp 1115<br />
<br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
<br />
~Introduction to Counting and Probability 1142 <br />
<br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
<br />
~Intermediate Counting and Probability 1137<br />
<br />
~Intermediate Counting and Probability 1207<br />
<br />
~Posting student surveys<br />
<br />
~USF Castle Walls - Elven Tribe 1203<br />
<br />
~Dark Lord's Hut 1210<br />
<br />
~AMC 10 Problem Series 1200<br />
<br />
~Intermediate Number Theory 1138<br />
<br />
~Intermediate Number Theory 1476<br />
<br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
<br />
~Algebra B 1112<br />
<br />
~Intermediate Algebra 1561 7:17 PM 12/11/16<br />
<br />
~Nowhere Else, Tasmania<br />
<br />
~Earth Dimension C-137<br />
~Geometry 1694 at 1616 PST military time. There was a boy riding him, and he seemed extremely miffed.<br />
<br />
<br />
<br />
<br />
- These have all been designated as the most glorious sections of Aopsland now (especially the USF castle walls), but deforestation is so far from threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
- Gmaas has randomly been known to have sent his minions into Prealgebra 2 1163. However, the danger is passed, that class is over.<br />
<br />
- Gmaas once snuck into sseraj's email so he could give pianoman24 an extension in Introduction to Number Theory 1204. This was 1204 minutes after his sighting on 7/27/16.<br />
<br />
- Gmaas also has randomly appeared on top of the USF's Tribal Bases(he seems to prefer the Void Tribe). However, the next day there is normally a puddle in the shape of a cat's underbelly wherever he was sighted. Nobody knows what this does. <br />
<br />
EDIT: Nobody has yet seen him atop a tribal base yet.<br />
<br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
EDIT: Gmaas rarely disguises himself as a penguin.<br />
<br />
- Many know that leafy stole dream island. In truth, After leafy stole it, Gmaas stole it himself. (BFDI Reference)<br />
<br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
EDIT: He IS an AoPS site admin.<br />
<br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
- Is this the real life? Is this just fantasy? No. This is Gmaas, the legend.<br />
<br />
-Aha!! An impostor!! <br />
http://www.salford.ac.uk/environment-life-sciences/research/applied-archaeology/greater-manchester-archaeological-advisory-service<br />
(look at the acronym).<br />
<br />
-EDIT. The above fact is slightly irrelevant.<br />
<br />
- Gmaas might have been viewing (with a <math>\frac{99999.\overline{9}}{100000}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday. If you do a sci-fi version of USF, then prepare to meet your Overpowered soldier with amazing weapons one day.<br />
<br />
- EDIT: Gmaas is a he.<br />
<br />
-Gmaas is love, Gmaas is life<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mew.<br />
<br />
- Gmaas is on the list of "Elusive Creatures." If you have questions or want the full list, contact moab33.<br />
<br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
<br />
- EDIT: The above fact is incorrect. math101010 has done this and commented with screenshot proof at the below link, and Gmaas was not summoned.<br />
https://artofproblemsolving.com/community/c287916h1291232<br />
<br />
- EDIT EDIT: The above 'proof' is non-conclusive. math101010 had only put an approximation.<br />
<br />
- Gmaas's left eye contains the singularity of a black hole. (Only when everyone in the world blinks at the same time within a nano-nano second.)<br />
<br />
- EDIT: That has never happened and thus it does not contain the singularity of a black hole.<br />
<br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure. <br />
-Despite common belief, Harry Potter did not defeat Lord Voldemort. Gmaas did.<br />
<br />
- The original owner of Gmaas is Gmaas.<br />
<br />
- Gmaas was not the fourth Peverell brother, but he ascended into a higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.) EDIT: he wasn't the fourth Peverell brother, but he was a cousin of theirs, and he was the one who advised Ignotus to give up his cloak.<br />
<br />
- It is suspected that Gmaas may be ordering his cyber hairballs to take the forums, along with microbots.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mu.<br />
<br />
- Gmaas rarely frequents the headquarters of the Illuminati. He was their symbol for one yoctosecond, but soon decided that the job was too low for his power to be wasted on.<br />
<br />
- It has been wondered if Gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
-Edit: Gmaas is neither Anakin Skywalker or Obi-Wan Kenobi as he is trillions of years older.<br />
<br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
- It has been confirmed that gmaas uses gmewal as his email service<br />
<br />
- Gmaas enjoys wearing gmean shorts<br />
<br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. That was the 15 minutes after he tried to play Taylor Swift music on his 34,000 year old MP3 player in front of sseraj, who, at the time, was handling a bucket of dangerous, radioactive material.<br />
<br />
- Gmaas is well known behind his stage name, Michael Stevens (also known as Vsauce XD), or his page name, Purrshanks. EDIT: Crookshanks was his brother.<br />
<br />
- Gmaas rekt sseraj at 12:54 June 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
- Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
- Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seen the Dark Lord's hut knows that both Gmaas and the DL (USF code name of the Dark Lord) love BBC. How Gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
- The TV has been noticed to be invincible. Many USF weapons, even volcano rings, have tried (and failed) to destroy it. The last time it was seen was on a Kobold display case outside of a mine. The display case was crushed, and a report showed a spy running off with a non-crushed TV.<br />
<br />
-The reason why Dacammel left the USF is that gmaas entrusted his TV to him, and not wanting to be discovered by LF, Cobra, or Z9, dacammel chose to leave the USF, but is regretting it, as snakes keep spawning from the TV.<br />
<br />
- EDIT: The above fact is somewhat irrelevant.<br />
<br />
-EDIT EDIT. Dacammel gave the TV back to gmaas, and he left the dark side and their cookies alone. <br />
<br />
- Gmaas is a Super Duper Uper Cat Time Lord. He has <math>57843504</math> regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2\cdot267794=57843504</cmath>. <br />
<br />
-Gmaas highly enjoys destroying squeaky toys until he finds the squeaky part, then destroys the squeaky part.<br />
<br />
- Gmaas loves to eat turnips. At <math>\frac{13}{32}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
-Gmaas has a secret hidden garden full of turnips under sseraj's house.<br />
<br />
- sseraj is "gmaas's person."<br />
<br />
- Gmaas has three tails, one for everyday life, one for special occasions, and one that's invisible.<br />
<br />
-Gmaas is a dangerous creature. If you ever meet him, immediately join his army or you will be killed.<br />
<br />
-Gmaas is in alliance with the Cult of Skaro. How did he get an alliance with ruthless creatures that want to kill everything in sight? Nobody knows (except him), not even the leader of the Cult of Skaro.<br />
<br />
-Gmaas lives in Gallifrey and in Gotham City (he has sleepovers with Batman).<br />
<br />
-Gmaas is an excellent driver. EDIT: he was to one who designed the driver's license test, although he didn't bother with the permit test.<br />
<br />
-The native location of Gmaas is the twilight zone.<br />
<br />
-Donald Trump once sang "All Hail the Chief" to Gmaas, 3 days after being sworn in as US President.<br />
<br />
- Gmaas likes to talk with rrusczyk from time to time.<br />
<br />
- Gmaas can shoot fire from his smelly butt.<br />
<br />
- Gmaas is the reason why the USF has the longest thread on AoPS.<br />
<br />
- Gmass is an avid watcher of the popular T.V. show "Bernie Sanders and the Gauntlet of DOOM"<br />
<br />
- sseraj, in 1521 Introduction to Number Theory, posted an image of Gmaas after saying "Who wants to see 5space?" at around 5:16 PM Mountain Time, noting Gmaas was "also 5space"<br />
<br />
-EDIT: he also did it in Introduction to Algebra A once.<br />
<br />
- Gmaas is now my HD background on my Mac. <br />
<br />
-Gmaas is not retarded.<br />
<br />
- In 1521 Into to Number Theory, sseraj posted an image of a 5space Gmaas fusion. (First sighting) <br />
<br />
- Also confirmed that Gmaas doesn't like ketchup because it was the only food left the photo.<br />
<br />
- In 1447 Intro to Geometry, sseraj posted a picture of Gmaas with a rubik's cube suggesting that Gmaas's has an average solve time of <math>-GMAAS</math> seconds.<br />
<br />
-Gmaas beat Superman in a fight with ease<br />
<br />
-Gmaas was an admin of Roblox<br />
<br />
EDIT: He created Roblox <br />
<br />
-Gmaas traveled around the world, paying so much <math>MONEY</math> just to eat :D<br />
<br />
-Gmaas is a confirmed Apex predator and should not be approached, unless in a domestic form.<br />
Summary:<br />
<br />
-When Gmaas subtracts <math>0.\overline{99}</math> from <math>1</math>, the difference is greater than <math>0</math>.<br />
<br />
-Gmaas was shown to have fallen on Wed Aug 23 2017: https://ibb.co/bNrtmk https://ibb.co/jzUDmk<br />
<br />
-Gmaas died on August ,24, 2017, but fortunately IceParrot revived him after about 2 mins of being dead.<br />
<br />
-The results of the revival are top secret, and nobody knows what happened.<br />
<br />
-sseraj, in 1496 Prealgebra 2, said that Gmaas is Santacat.<br />
<br />
-sseraj likes to post a picture of gmaas in every class he passes by.<br />
<br />
-sseraj posted a picture of gmaas as an Ewok, suggesting he resides on the moon of Endor. Unfortunately, the moon of Endor is also uninhabitable ever since the wreckage of the Death Star changed the climate there. It is thought gmaas is now wandering space in search for a home.<br />
EDIT: What evidence is there Endor was affected? Other Ewoks still live there.<br />
EDIT EDIT: also, glass doesn't care. He can live there no matter what the climate is.<br />
<br />
-Gmaas is the lord of the pokemans<br />
<br />
-Gmaas can communicate with, and sometimes control any other cats, however this is very rare, as cats normally have a very strong will.<br />
<br />
-Picture of Gmaas http://i.imgur.com/PP9xi.png<br />
<br />
-Known by Mike Miller<br />
<br />
-Gmaas got mad at sseraj once, so he locked him in his own freezer<br />
<br />
-Then, sseraj decided to eat all of Gmaas's hidden turnips in the freezer as punishment<br />
<br />
-Gmass ate slester<br />
<br />
-A gmass bite is 7000 psi<br />
<br />
-haha0201 met him<br />
<br />
-haha0201 comfirms that gmass can talk<br />
<br />
-gmass likes to eat fur<br />
<br />
-gmass is bigger than an ant<br />
<br />
-gmass lives on the earth<br />
<br />
-Gmaas is an obviously omnipotent cat.<br />
<br />
-ehawk11 met him<br />
<br />
-sseraj is known to post pictures of Gmaas on various AoPS classrooms. It is not known if these photos have been altered with the editing program called 'Photoshop'.<br />
<br />
-sseraj has posted pictures of gmaas in '"intro to algebra", before class started, with the title, "caption contest". anyone who posted a caption mysteriously vanished in the middle of the night. <br />
EDIT: This has happened many times, including in Introduction to Geometry 1533, among other active classes. The person writing this (Poeshuman) did participate, and did not disappear. (You could argue Gmaas is typing this through his/her account...)<br />
<br />
- gmaas has once slept in your bed and made it wet<br />
<br />
-It is rumored that rrusczyk is actually Gmaas in disguise<br />
<br />
-Gmaas is suspected to be a Mewtwo in disguise<br />
<br />
-Gmaas is a cat but has characteristics of every other animal on Earth.<br />
<br />
-Gmaas is the ruler of the universe and has been known to be the creator of the species "Gmaasians".<br />
<br />
-There is a rumor that Gmaas is starting a poll<br />
<br />
-Gmaas is a rumored past ThunderClan cat who ran away, founded GmaasClan, then became a kittypet.<br />
<br />
-There is a rumored sport called "Gmaas Hunting" where people try to successfully capture gmaas in the wild with video/camera/eyes. Strangely, no one has been able to do this, and those that have have mysteriously disappeared into the night. Nobody knows why. The person who is writing this(g1zq) has tried Gmaas Hunting, but has never been successful.<br />
<br />
- Gmaas burped and caused an earthquake.<br />
<br />
- Gmaas once drank from your pretty teacup.<br />
<br />
-GMAAS IS HERE.... PURRRRRRRRRRRRRRRRRRRR<br />
<br />
-Gmass made, and currently owns the Matrix.<br />
<br />
-The above fact is true. Therefore, this is an illusion.<br />
<br />
-Gmaas is the reason Salah will become better than Ronaldo.<br />
<br />
-Who is Gmaas, really?<br />
-Gmass is a heavenly being<br />
<br />
-Illuminati was a manifestation of Gmaas, but Gmass decided illuminati was not great enough for his godly self.<br />
<br />
-jlikemath has met Gmaas and Gmaas is his best friend.<br />
<br />
-Gmaas loves Kpop<br />
<br />
-Gmaas read Twilight EDIT: ...and SURVIVED<br />
<br />
-there is a secret code when put into super smash, Gmass would be a playible character. Too bad he didn't say it.<br />
<br />
-Gmaas was a tribute to one of the Hunger Games and came out a Victor and now lives in District 4<br />
<br />
-Gmaas is the only known creature to survive the destruction of earth in 99999999 years<br />
<br />
-5Space (side admin) is Gmaas. <br />
<br />
=== Gmaas photos ===<br />
http://cdn.artofproblemsolving.com/images/f/f/8/ff8efef3a0d2eb51254634e54bec215b948a1bba.jpg<br />
http://disneycreate.wikia.com/wiki/File:Troll_cat_gif_(1).gif <br />
<br />
He was also sighted here.<br />
<br />
=== gmaas in Popular Culture ===<br />
<br />
- <s>Currently, is being written (by themoocow) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".</s>Sorry, this was a rick roll troll.<br />
<br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
- Sullymath and themoocow are also writing a book about Gmaas<br />
<br />
-Sighting of Gmaas: https://2017.spaceappschallenge.org/challenges/warning-danger-ahead/and-you-can-help-fight-fires/teams/gmaas/project<br />
<br />
-Oryx the mad god is actually gmass wearing a suit of armor. This explains why he is never truly killed<br />
<br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles<br />
<br />
- gmaas was an un-credited actor in the Doctor Who story Knock Knock, playing a Dryad. How he shrunk, we will never know.<br />
<br />
-oadaegan is also writing a story about him. He is continuing the book that was started by JpusheenS. when he is done he will post it here<br />
<br />
-Gmaas is a time traveler from 0.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 B.C.<br />
<br />
-No one knows if Gmass is a Mr. mime in a cat skin, the other way around, or just a downright combination of both.<br />
<br />
-In it, it mentions these four links as things Gmass is having trouble (specifically technical difficulties). What could it mean? Links:<br />
https://docs.google.com/document/d/1NZ0XcFYm80sA-fAoxnm7ulMCwdNU75Va_6ZjRHfSHV0<br />
https://docs.google.com/document/d/1ELN7ORauFFv1dwpU_u-ah_dFJHeuJ3szYxoeC1LlDQg/<br />
https://docs.google.com/document/d/1oy9Q3F7fygHw-OCWNEVE8d-Uob2dxVACFcGUcLmk3fA<br />
https://docs.google.com/document/d/1jzb9Q6FmDmrRyXwnik3e0sYw5bTPMo7aBwugmUbA13o<br />
<br />
<br />
- Another possible Gmaas sighting [https://2017.spaceappschallenge.org/challenges/warning-danger-ahead/and-you-can-help-fight-fires/teams/gmaas/project]<br />
<br />
-<math>Another</math> sighting? [https://www.radarbox24.com/data/flights/GMAAS]<br />
- Yet Another Gmaas sighting ? [https://supportforums.cisco.com/t5/user/viewprofilepage/user-id/45046]<br />
<br />
-Gmaas has been sighted several times on the Global Announcements forum<br />
<br />
-Gmaas uses the following transportation: <img> http://cdn.artofproblemsolving.com/images/3/6/8/368da4e615ea3476355ee3388b39f30a48b8dd48.jpg </img><br />
<br />
- When Gmaas was mad, he started world wars 1 & 2. It is only because of Gmaas that we have not had World War 3.<br />
<br />
- Gmaas is the only cat to have been proved irrational and transcendental, though we suspect all cats fall in the first category.<br />
<br />
- Gmaas plays Geometry Dash and shares an account with Springhill, his username is D3m0nG4m1n9.<br />
<br />
-Gmass has beaten every demon in Geometry Dash along with their unnerfed versions and every upcoming demon too.<br />
<br />
-Gmaas likes to whiz on the wilzo<br />
<br />
-Gmaas has been spotted in AMC 8 Basics<br />
<br />
-Gmaas is cool<br />
<br />
-Gmaas hemoon card that does over 9000000 dmg<br />
<br />
-Gmaas is a skilled swordsman who should not to be mistaken for Puss in Boots. Some say he even trained the mysterious and valiant Meta Knight.<br />
<br />
-Kirby once swallowed Gmaas. Gmaas had to spit him out.<br />
<br />
-Gmaas was the creator of pokemon, and his pokemon card can OHKO anyone in one turn. He is invisible and he will always move first.<br />
<br />
-Gmaas beat Dongmin in The Genius Game Seasons 1, 2, 3, 4, 5, 6, and 7.<br />
<br />
-Gmaas has five letters. Pizza also has five letters. Pizzas are round. Eyes are round. There is an eye in the illuminati symbol. iLLuMiNaTii cOnFiRmEdd<br />
<br />
-Gmaas knows both 'table' and 'tabular' in LaTeX, and can do them in his sleep. <br />
<br />
-Gmaas hates crawdads with the passion of a thousand burning stars. <br />
<br />
-Gmaas does not hate cheddar cheese. But he doesn't love it either. <br />
<br />
-Gmass is a cat and not a cat<br />
<br />
-Gmass was born on the sun<br />
<br />
-Gmass eats tape<br />
<br />
-Gmass likes Bubble Gum<br />
<br />
-Thomas edison did not invent the lightbulb; Gmass did<br />
<br />
-Gmass eats metal<br />
<br />
-Gmass is over 9000 years old!<br />
-EDIT: this is just a DBZ reference, and bears no reality to his true age.<br />
<br />
-Gmass started the Iron Age<br />
<br />
-Gmass made the dinosaurs go extinct<br />
<br />
-Gmass created Life... <br />
<br />
-Gmass created AoPS<br />
-EDIT: AoPS was actually born out of a small fraction of Gmass's abstract reality, and on;y the sheer amount math can keep it here, (it is also rumored that when he reclaims it, the USF will be deleted, as that is where 83% of the factions of his abstract reality lives, and when people leave USF, more and more escapes.)<br />
<br />
-Gmass does not like roblox<br />
<br />
-Gmass invented Geometry Dash<br />
<br />
-Gmass got to 1634 in Flappy Bird<br />
<br />
-Gmass invented Helix Jump<br />
<br />
-Gmass can play Happy Birthday on the Violin<br />
<br />
-Gmass made a piano with 89 keys<br />
<br />
-Gmass made a Violin with 9 strings<br />
<br />
-Gmass eats rubber bands<br />
<br />
-Gmaas married Mrs. Norris <br />
<br />
- Grumpy cat is his son<br />
<br />
<br />
<math>\text{gmaas is watching you\dots}</math></div>Moab33https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=96686Gmaas2018-08-02T18:13:27Z<p>Moab33: </p>
<hr />
<div> :) :O :P {{{=== Gmaas Facts ===}}} :) :O :P<br />
-Gmaas has the following powers: trout, carp, earthworm, and catfish. He never uses any of them, because he has an infinite number of powers.<br />
<br />
-Gmaas is Gordon Maas (5Space) <br />
I am Gmaas lololol<br />
<br />
- Above is fake but true. 5space (Dustin Ransom) has two names, Gordon and Dustin.<br />
<br />
-Gmaas has 100000000000000000000000000000000000000000000000 cat lives, maybe even more. He has 0 dog lives.<br />
<br />
-Who wrote ''Harry Potter''? None other than Gmaas himself.<br />
<br />
-Gmaas created the catfish.<br />
<br />
-Gmaas founded Target, but then Gmaas sued them for making the mascot look like a dog when it was supposed to look like Gmaas. <br />
<br />
-Everyone has a bit of Gmaas inside them. EDIT: Except you. You are pure Gmaas. <br />
<br />
-Gmaas likes to eat popsicles. Especially the fudge ones that get him hyper. When he is hyper he runs across Washington D.C. grabbing unsuspecting pedestrians and steals their phone, hacks into them and downloads Fortnite onto their poor phone.<br />
<br />
-Gmaas' favorite cereal is fruit loops. Gmaas thinks it tastes like unicorns jumping on rainbows<br />
<br />
-Gmaas thinks that the McChicken has way too much mayonnaise<br />
<br />
-Gmaas is a champion pillow-fighter.<br />
<br />
-Gmaas colonized Mars.<br />
<br />
-He also colonized Jupiter, Pluto, and several other galaxies. He cloned some little Gmaas robots (with his amazingly robotic skill of coding) and put them all over a galaxy called Gmaasalaxy. <br />
<br />
-Gmaas has the ability to make every device play "The Duck Song" at will.<br />
<br />
-Gmaas once caught the red dot and ate it.<br />
<br />
-Gmaas' favorite color is neon klfhsadkhfd.<br />
<br />
-Gmaas is a champion pvp Minecraft player<br />
<br />
-Gmass caught a CP 6000 Mewtwo with a normal Pokeball in Pokemon Go.<br />
<br />
-Gmaas founded Costco.<br />
<br />
-Gmaas does not need to attend the FIFA World Cup. If he did, he would automatically beat any team.<br />
<br />
-Gmaas can solve any puzzle instantly besides the 3x3 Rubik's Cube.<br />
<br />
-Gmaas caught a CP 20,000 Mewtwo with a normal Pokeball and no berries blindfolded first try in Pokemon Go. <br />
<br />
-When Gmaas flips coins, they always land tails. Except once when he was making a bet with Zeus.<br />
<br />
-On Gmaas's math tests, he always gets 101.777777777777777777777777777777777777777777777777777701%<br />
<br />
-Gmaas' favorite number is pi. It's also one of his favorite foods. <br />
<br />
-Gmaas' burps created all gaseous planets.<br />
<br />
-Gmass beat Luke Robatille in an epic showdown of catnip consumption.<br />
<br />
- Gmaas' wealth is unknown, but it is estimated to be way more than Scrooge's.<br />
<br />
- Gmaas has a summer house on Mars. <br />
<br />
-Gmaas attended Harvard, Yale, Stanford, MIT, UC Berkeley, Princeton, Columbia, and Caltech at the same time, using a time-turner.<br />
<br />
-Gmaas also attended Hogwarts and was a prefect. Edit: he was headmaster.<br />
<br />
<br />
-Mrs.Norris is Gmaas's archenemy.<br />
<br />
-Gmaas is a demigod and attends Camp Half-Blood over summer. He is the counselor for the Apollo cabin. Because cats are demigod counselors too.<br />
<br />
-Gmaas has completed over 2,000 quests, and is very popular throughout Camp Half-Blood. He has also been to Camp Jupiter.<br />
<br />
-Gmaas painted the Mona Lisa, The Last Supper, and A Starry Night.<br />
<br />
-Gmass knows that the real names are Gmassa Lisa, The Last Domestic Meal, and Far-away Light.<br />
<br />
-Gmaas actually attended all the Ivy Leagues.<br />
<br />
- I am Gmaas<br />
<br />
- I too am Gmaas<br />
<br />
- gmaas once challenged Magnus Carlsen to a chess match. gmaas won every game. <br />
<br />
- But it is I who is Gmaas<br />
<br />
- Gmaas is us all<br />
<br />
- Gmaas is all of us yet none of us<br />
<br />
- Gmaas was captured by the infamous j3370 in 2017 but was released due to sympathy. EDIT: j3370 only captured his concrete form, his abstract form cannot be processed by a feeble human brain<br />
<br />
- Gmaas's fur is purple and yellow and red and green and orange and blue and brown and pink all at the same time. <br />
<br />
- Gmaas crossed the event horizon of a black hole and ended up in the AoPS universe.<br />
<br />
- Gmaas crossed the Delaware River with Washington.<br />
<br />
- Gmaas also crossed the Atlantic with the pilgrims.<br />
<br />
- if you are able to capture a Gmaas hair, he will give you some of his gmaas power.<br />
<br />
- Chuck norris makes Gmaas jokes.<br />
<br />
- Gmaas is also the ruler of Oceania, Eastasia, and Eurasia (1984 reference)<br />
<br />
- Gmaas killed Big Brother by farting on him. Though he was caught by the Ministry of Love, he escaped easily. Edit: he destroyed the Ministry of Love.<br />
<br />
-Gmaas was not affected by Thano's snap, in fact he is the creator of the Infinity Stones. <br />
<br />
- Everyone thinks that Gmaas is a god<br />
<br />
- Gmaas also owns Animal Farm. Napoleon was his servant.<br />
<br />
- Gmaas is the only one who knows where Amelia Earhart is.<br />
<br />
- Gmaas is the only cat that has been proven transcendental.<br />
<br />
- Gmaas happened to notice http://artofproblemsolving.com/community/c402403h1598015p9983782 and is not very happy about it.<br />
<br />
- Grumpy cat reads Gmaas memes. EDIT: Grumpy cat then steals them and claims they're his. Gmaas isn't very happy about that, either.<br />
<br />
- The real reason why AIME cutoffs aren't out yet is because Gmaas refused to grade them due to too much problem misplacement.<br />
<br />
- Gmaas dueled Grumpy Cat and lost. He wasn't trying.<br />
<br />
- Gmaas sits on the statue of pallas and says forevermore (the Raven refrence )<br />
<br />
- Gmaas is a big fan of Edgar Allan Poe, because he is actually Poe. <br />
<br />
- Gmaas does merely not use USD. He owns it.<br />
<br />
- Gmaas really knows that Roblox is awful and does not play it seriously, thank god our lord is sane<br />
<br />
- In 2003, Gmaas used elliptical curves to force his reign over AoPS.<br />
<br />
- "Actually, my name is spelled GMAAS"<br />
<br />
- Gmaas is the smartest living being in the universe.<br />
<br />
- It was Gmaas who helped Sun Wukong on the Journey to the West.<br />
<br />
- Gmaas is the real creator of Wikipedia.<br />
<br />
-It is said Gmaas could hack any website he desires.<br />
<br />
-Gmaas is the basis of Greek mythology and also Egyptian mythology.<br />
<br />
-Gmaas once sold Google to a man for around <math>12</math> dollars!<br />
<br />
-Gmaas uses a HP printer. It is specifically a HP 2141414412412414 Printer<br />
<br />
-Gmaas owns all AoPS staff including Richard Rusczyk.<br />
<br />
-Gmaas was there when Yoda was born.<br />
<br />
- Gmaas's true number of lives left is unknown; however, Gmaas recently confirmed that he had at least one left. Why doesn't Gmaas have so many more lives than other cats? The power of Gmaas. Edit: This is all not true.<br />
<br />
- sseraj once spelled Gmaas as gmASS on accident in Introduction to Geometry (1532).<br />
<br />
-Gmaas actively plays Roblox, and is a globally ranked professional gamer: https://www.roblox.com/users/29708533/profile...but he hates Roblox.<br />
<br />
-Gmaas has beaten Chuck Norris and The Rock and John Cena all together in a fight.<br />
<br />
-Gmaas is a South Korean, North Korean, Palestinian, Israeli, U.S., and Soviet citizen at the same time. EDIT: Gmaas has now been found out to be a citizen of every country in the world. Gmaas seems to enjoy the country of AOPS best, however.<br />
<br />
-"i am sand" destroyed Gmaas in FTW<br />
<br />
- sseraj posted a picture of gmaas with a game controller in Introduction to Geometry (1532).<br />
<br />
-Gmaas plays roblox mobile edition and likes Minecraft, Candy Crush, and Club Penguin Rewritten. He also <math>\boxed{\text{loves}}</math> <b>Cat</b>ch that fish.<br />
<br />
-Gmaas is Roy Moore's horse in the shape of a cat<br />
<br />
-Gmaas is a known roblox/club penguin rewritten player and is a legend at it. He has over <math>289547987693</math> robux and <math>190348</math> in CPR.<br />
<br />
-This is all hypothetical.<br />
<br />
- EDIT: This is all factual <br />
<br />
-Gmaas's real name is Princess. He has a sibling named Rusty/Fireheart/Firestar<br />
(Warrior cats reference)<br />
<br />
- He is capable of salmon powers, according to PunSpark (ask him)<br />
<br />
-The Gmaas told Richard Rusczyk to make AoPS<br />
<br />
-The Gmaas is everything. Yes, you are part of the Gmaas-Dw789<br />
<br />
-The Gmaas knows every dimension up to 9999999999999999999999999999999999999999999999999999999999999999999999999999999999th dimension.<br />
<br />
-Certain theories provide evidence that he IS darth plagueis the wise.<br />
<br />
-Gmaas is "TIRED OF PEOPLE ADDING TO HIS PAGE!!" (Maas 45).<br />
<br />
-Gmaas has multiple accounts; some of them are pifinity, cyumi, srej, squareman, Electro3.0, sturdywill, g1zq, alleycat, Equinox8, PotatoPenguin19, anc3, batta, beastgert, and lakecomo224. His best account, though, is wlm7, later renamed to "gmail.com". Jlordhe is his spam account<br />
<br />
-Gmaas has a penguin servant named sm24136 who runs GMAASINC. The penguin may or may not be dead. His other penguin is called PotatoPenguin19. He is alive. (And watching u!)<br />
<br />
-Gmaas owns a TARDIS, and can sometimes be seen traveling to other times for reasons unknown.<br />
<br />
-Gmaas knows how to hack into top secret aops community pages.<br />
<br />
-Gmaas was a river clant cat who crossed the event horizon of a black hole and came out the other end!<br />
<br />
-Gmaas is king of the first men, the anduls.<br />
<br />
-Gmaas is a well known professor at MEOWston Academy.<br />
<br />
-Gmaas is also the CEO of Caterpillar.<br />
<br />
-Gmaas drinks Starbucks everyday.<br />
<br />
-Gmaas is a Tuna addict, along with other, more potent fish such as Salmon and Trout.<br />
<br />
-Gmaas won the reward of being cutest and fattest cat ever--he surpassed grumpy cat. (He also out-grumped grumpy cat!!!)<br />
<br />
-Last sighting 1665 Algebra-A 3/9/18 at 9:08 PM.<br />
<br />
- owner of sseraj, not pet.<br />
<br />
- embodiment of life and universe and beyond .<br />
<br />
- Watches memes.<br />
<br />
-After Death became the GOD OF HYPERDEATH and obtained over 9000 souls.<br />
<br />
-Gmaas's real name is Pablo Diego José Francisco de Paula Juan Nepomuceno María de los Remedios Cipriano de la Santísima Trinidad Ruiz y Picasso [STOP RICK ROLLING. (Source)]<br />
<br />
-Gmaas is a certified Slytherin.<br />
<br />
-Gmaas once slept on sseraj's private water bed, so sseraj locked him in the bathroom <br />
<br />
-Gmaas has superpowers that allow him to overcome the horrors of Mr. Toilet (while he was locked in the bathroom)<br />
<br />
- Gmaas once sat on an orange on a pile of AoPS books, causing an orange flavored equation explosion.<br />
<br />
-Gmaas once conquered the moon and imprinted his face on it until asteroids came.<br />
<br />
-Gmaas is a supreme overlord who must be given <math>10^{1000000000000000000000^{1000000000000000000000}}</math> minecraft DIAMONDS<br />
<br />
- gmaas is the Doctor Who lord; he sports Dalek-painted cars and eats human finger cheese and custard, plus black holes.<br />
<br />
- Gmaas is everyone's favorite animal. <br />
<br />
- He lives with sseraj. <br />
<br />
-Gmaas is my favorite pokemon<br />
<br />
-Gmaas dislikes number theory but enjoys geometry.<br />
<br />
- Gmaas is cool<br />
<br />
- He is often overfed (with probability <math>\frac{3972}{7891}</math>), or malnourished (with probability <math>\frac{3919}{7891}</math>) by sseraj.<br />
<br />
- He has <cmath>\sum_{k=1}^{267795} [k(k+1)]+GMAAS+GMAAAAAAAS</cmath> supercars, excluding the Purrari and the 138838383 Teslas. <br />
<br />
- He is an employee of AoPS.<br />
<br />
- He is a gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
- He has the ability to divide by zero.<br />
<br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
- His stare also turned Medusa into rock, King Midas into gold, and sseraj into sseraj.<br />
<br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
- Actually, he is a cat. He said so. And science also says so.<br />
<br />
- He is distant relative of Mathcat1234.<br />
<br />
- He cannot be Force choked. Darth Vader learned that the hard way...<br />
<br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
- His favorite food is AoPS textbooks because they help him digest problems.<br />
<br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
- Then he ate all the food in sseraj's freezer.<br />
<br />
- Gmass once demanded Epic Games to give him 5,000,000 V-bucks for his 569823rd birthday.<br />
<br />
- This is why he does not have an Epic Games account anymore.<br />
<br />
- Gmaas sightings are not very common. There have only been 8 confirmed sightings of Gmaas in the wild.<br />
<br />
- Gmaas is a sage omniscient cat.<br />
<br />
- He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
- Places where gmaas sightings have happened: <br />
~The Royal Scoop ice cream store in Bonita Beach Florida<br />
<br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
<br />
-Prealgebra 2 (1440)<br />
<br />
~Alligator Swamp A 1072 <br />
<br />
~Alligator Swamp B 1073<br />
<br />
~Prealgebra A (1488)<br />
<br />
~Introduction to Algebra A (1170)<br />
<br />
~Introduction to Algebra B (1529)<br />
<br />
~Welcome to Panda Town Gate 1076<br />
<br />
~Welcome to Gmaas Town Gate 1221<br />
<br />
~Welcome to Gmaas Town Gate 1125<br />
<br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
<br />
~The other side of the ice in Antarctica<br />
<br />
~Feisty Alligator Swamp 1115<br />
<br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
<br />
~Introduction to Counting and Probability 1142 <br />
<br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
<br />
~Intermediate Counting and Probability 1137<br />
<br />
~Intermediate Counting and Probability 1207<br />
<br />
~Posting student surveys<br />
<br />
~USF Castle Walls - Elven Tribe 1203<br />
<br />
~Dark Lord's Hut 1210<br />
<br />
~AMC 10 Problem Series 1200<br />
<br />
~Intermediate Number Theory 1138<br />
<br />
~Intermediate Number Theory 1476<br />
<br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
<br />
~Algebra B 1112<br />
<br />
~Intermediate Algebra 1561 7:17 PM 12/11/16<br />
<br />
~Nowhere Else, Tasmania<br />
<br />
~Earth Dimension C-137<br />
~Geometry 1694 at 1616 PST military time. There was a boy riding him, and he seemed extremely miffed.<br />
<br />
<br />
<br />
<br />
- These have all been designated as the most glorious sections of Aopsland now (especially the USF castle walls), but deforestation is so far from threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
- Gmaas has randomly been known to have sent his minions into Prealgebra 2 1163. However, the danger is passed, that class is over.<br />
<br />
- Gmaas once snuck into sseraj's email so he could give pianoman24 an extension in Introduction to Number Theory 1204. This was 1204 minutes after his sighting on 7/27/16.<br />
<br />
- Gmaas also has randomly appeared on top of the USF's Tribal Bases(he seems to prefer the Void Tribe). However, the next day there is normally a puddle in the shape of a cat's underbelly wherever he was sighted. Nobody knows what this does. <br />
<br />
EDIT: Nobody has yet seen him atop a tribal base yet.<br />
<br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
EDIT: Gmaas rarely disguises himself as a penguin.<br />
<br />
- Many know that leafy stole dream island. In truth, After leafy stole it, Gmaas stole it himself. (BFDI Reference)<br />
<br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
EDIT: He IS an AoPS site admin.<br />
<br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
- Is this the real life? Is this just fantasy? No. This is Gmaas, the legend.<br />
<br />
-Aha!! An impostor!! <br />
http://www.salford.ac.uk/environment-life-sciences/research/applied-archaeology/greater-manchester-archaeological-advisory-service<br />
(look at the acronym).<br />
<br />
-EDIT. The above fact is slightly irrelevant.<br />
<br />
- Gmaas might have been viewing (with a <math>\frac{99999.\overline{9}}{100000}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday. If you do a sci-fi version of USF, then prepare to meet your Overpowered soldier with amazing weapons one day.<br />
<br />
- EDIT: Gmaas is a he.<br />
<br />
-Gmaas is love, Gmaas is life<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mew.<br />
<br />
- Gmaas is on the list of "Elusive Creatures." If you have questions or want the full list, contact moab33.<br />
<br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
<br />
- EDIT: The above fact is incorrect. math101010 has done this and commented with screenshot proof at the below link, and Gmaas was not summoned.<br />
https://artofproblemsolving.com/community/c287916h1291232<br />
<br />
- EDIT EDIT: The above 'proof' is non-conclusive. math101010 had only put an approximation.<br />
<br />
- Gmaas's left eye contains the singularity of a black hole. (Only when everyone in the world blinks at the same time within a nano-nano second.)<br />
<br />
- EDIT: That has never happened and thus it does not contain the singularity of a black hole.<br />
<br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure. <br />
-Despite common belief, Harry Potter did not defeat Lord Voldemort. Gmaas did.<br />
<br />
- The original owner of Gmaas is Gmaas.<br />
<br />
- Gmaas was not the fourth Peverell brother, but he ascended into a higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.) EDIT: he wasn't the fourth Peverell brother, but he was a cousin of theirs, and he was the one who advised Ignotus to give up his cloak.<br />
<br />
- It is suspected that Gmaas may be ordering his cyber hairballs to take the forums, along with microbots.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mu.<br />
<br />
- Gmaas rarely frequents the headquarters of the Illuminati. He was their symbol for one yoctosecond, but soon decided that the job was too low for his power to be wasted on.<br />
<br />
- It has been wondered if Gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
-Edit: Gmaas is neither Anakin Skywalker or Obi-Wan Kenobi as he is trillions of years older.<br />
<br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
- It has been confirmed that gmaas uses gmewal as his email service<br />
<br />
- Gmaas enjoys wearing gmean shorts<br />
<br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. That was the 15 minutes after he tried to play Taylor Swift music on his 34,000 year old MP3 player in front of sseraj, who, at the time, was handling a bucket of dangerous, radioactive material.<br />
<br />
- Gmaas is well known behind his stage name, Michael Stevens (also known as Vsauce XD), or his page name, Purrshanks. EDIT: Crookshanks was his brother.<br />
<br />
- Gmaas rekt sseraj at 12:54 June 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
- Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
- Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seen the Dark Lord's hut knows that both Gmaas and the DL (USF code name of the Dark Lord) love BBC. How Gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
- The TV has been noticed to be invincible. Many USF weapons, even volcano rings, have tried (and failed) to destroy it. The last time it was seen was on a Kobold display case outside of a mine. The display case was crushed, and a report showed a spy running off with a non-crushed TV.<br />
<br />
-The reason why Dacammel left the USF is that gmaas entrusted his TV to him, and not wanting to be discovered by LF, Cobra, or Z9, dacammel chose to leave the USF, but is regretting it, as snakes keep spawning from the TV.<br />
<br />
- EDIT: The above fact is somewhat irrelevant.<br />
<br />
-EDIT EDIT. Dacammel gave the TV back to gmaas, and he left the dark side and their cookies alone. <br />
<br />
- Gmaas is a Super Duper Uper Cat Time Lord. He has <math>57843504</math> regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2\cdot267794=57843504</cmath>. <br />
<br />
-Gmaas highly enjoys destroying squeaky toys until he finds the squeaky part, then destroys the squeaky part.<br />
<br />
- Gmaas loves to eat turnips. At <math>\frac{13}{32}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
-Gmaas has a secret hidden garden full of turnips under sseraj's house.<br />
<br />
- sseraj is "gmaas's person."<br />
<br />
- Gmaas has three tails, one for everyday life, one for special occasions, and one that's invisible.<br />
<br />
-Gmaas is a dangerous creature. If you ever meet him, immediately join his army or you will be killed.<br />
<br />
-Gmaas is in alliance with the Cult of Skaro. How did he get an alliance with ruthless creatures that want to kill everything in sight? Nobody knows (except him), not even the leader of the Cult of Skaro.<br />
<br />
-Gmaas lives in Gallifrey and in Gotham City (he has sleepovers with Batman).<br />
<br />
-Gmaas is an excellent driver. EDIT: he was to one who designed the driver's license test, although he didn't bother with the permit test.<br />
<br />
-The native location of Gmaas is the twilight zone.<br />
<br />
-Donald Trump once sang "All Hail the Chief" to Gmaas, 3 days after being sworn in as US President.<br />
<br />
- Gmaas likes to talk with rrusczyk from time to time.<br />
<br />
- Gmaas can shoot fire from his smelly butt.<br />
<br />
- Gmaas is the reason why the USF has the longest thread on AoPS.<br />
<br />
- Gmass is an avid watcher of the popular T.V. show "Bernie Sanders and the Gauntlet of DOOM"<br />
<br />
- sseraj, in 1521 Introduction to Number Theory, posted an image of Gmaas after saying "Who wants to see 5space?" at around 5:16 PM Mountain Time, noting Gmaas was "also 5space"<br />
<br />
-EDIT: he also did it in Introduction to Algebra A once.<br />
<br />
- Gmaas is now my HD background on my Mac. <br />
<br />
-Gmaas is not retarded.<br />
<br />
- In 1521 Into to Number Theory, sseraj posted an image of a 5space Gmaas fusion. (First sighting) <br />
<br />
- Also confirmed that Gmaas doesn't like ketchup because it was the only food left the photo.<br />
<br />
- In 1447 Intro to Geometry, sseraj posted a picture of Gmaas with a rubik's cube suggesting that Gmaas's has an average solve time of <math>-GMAAS</math> seconds.<br />
<br />
-Gmaas beat Superman in a fight with ease<br />
<br />
-Gmaas was an admin of Roblox<br />
<br />
EDIT: He created Roblox <br />
<br />
-Gmaas traveled around the world, paying so much <math>MONEY</math> just to eat :D<br />
<br />
-Gmaas is a confirmed Apex predator and should not be approached, unless in a domestic form.<br />
Summary:<br />
<br />
-When Gmaas subtracts <math>0.\overline{99}</math> from <math>1</math>, the difference is greater than <math>0</math>.<br />
<br />
-Gmaas was shown to have fallen on Wed Aug 23 2017: https://ibb.co/bNrtmk https://ibb.co/jzUDmk<br />
<br />
-Gmaas died on August ,24, 2017, but fortunately IceParrot revived him after about 2 mins of being dead.<br />
<br />
-The results of the revival are top secret, and nobody knows what happened.<br />
<br />
-sseraj, in 1496 Prealgebra 2, said that Gmaas is Santacat.<br />
<br />
-sseraj likes to post a picture of gmaas in every class he passes by.<br />
<br />
-sseraj posted a picture of gmaas as an Ewok, suggesting he resides on the moon of Endor. Unfortunately, the moon of Endor is also uninhabitable ever since the wreckage of the Death Star changed the climate there. It is thought gmaas is now wandering space in search for a home.<br />
EDIT: What evidence is there Endor was affected? Other Ewoks still live there.<br />
EDIT EDIT: also, glass doesn't care. He can live there no matter what the climate is.<br />
<br />
-Gmaas is the lord of the pokemans<br />
<br />
-Gmaas can communicate with, and sometimes control any other cats, however this is very rare, as cats normally have a very strong will.<br />
<br />
-Picture of Gmaas http://i.imgur.com/PP9xi.png<br />
<br />
-Known by Mike Miller<br />
<br />
-Gmaas got mad at sseraj once, so he locked him in his own freezer<br />
<br />
-Then, sseraj decided to eat all of Gmaas's hidden turnips in the freezer as punishment<br />
<br />
-Gmass ate slester<br />
<br />
-A gmass bite is 7000 psi<br />
<br />
-haha0201 met him<br />
<br />
-haha0201 comfirms that gmass can talk<br />
<br />
-gmass likes to eat fur<br />
<br />
-gmass is bigger than an ant<br />
<br />
-gmass lives on the earth<br />
<br />
-Gmaas is an obviously omnipotent cat.<br />
<br />
-ehawk11 met him<br />
<br />
-sseraj is known to post pictures of Gmaas on various AoPS classrooms. It is not known if these photos have been altered with the editing program called 'Photoshop'.<br />
<br />
-sseraj has posted pictures of gmaas in '"intro to algebra", before class started, with the title, "caption contest". anyone who posted a caption mysteriously vanished in the middle of the night. <br />
EDIT: This has happened many times, including in Introduction to Geometry 1533, among other active classes. The person writing this (Poeshuman) did participate, and did not disappear. (You could argue Gmaas is typing this through his/her account...)<br />
<br />
- gmaas has once slept in your bed and made it wet<br />
<br />
-It is rumored that rrusczyk is actually Gmaas in disguise<br />
<br />
-Gmaas is suspected to be a Mewtwo in disguise<br />
<br />
-Gmaas is a cat but has characteristics of every other animal on Earth.<br />
<br />
-Gmaas is the ruler of the universe and has been known to be the creator of the species "Gmaasians".<br />
<br />
-There is a rumor that Gmaas is starting a poll<br />
<br />
-Gmaas is a rumored past ThunderClan cat who ran away, founded GmaasClan, then became a kittypet.<br />
<br />
-There is a rumored sport called "Gmaas Hunting" where people try to successfully capture gmaas in the wild with video/camera/eyes. Strangely, no one has been able to do this, and those that have have mysteriously disappeared into the night. Nobody knows why. The person who is writing this(g1zq) has tried Gmaas Hunting, but has never been successful.<br />
<br />
- Gmaas burped and caused an earthquake.<br />
<br />
- Gmaas once drank from your pretty teacup.<br />
<br />
-GMAAS IS HERE.... PURRRRRRRRRRRRRRRRRRRR<br />
<br />
-Gmass made, and currently owns the Matrix.<br />
<br />
-The above fact is true. Therefore, this is an illusion.<br />
<br />
-Gmaas is the reason Salah will become better than Ronaldo.<br />
<br />
-Who is Gmaas, really?<br />
-Gmass is a heavenly being<br />
<br />
-Illuminati was a manifestation of Gmaas, but Gmass decided illuminati was not great enough for his godly self.<br />
<br />
-jlikemath has met Gmaas and Gmaas is his best friend.<br />
<br />
-Gmaas loves Kpop<br />
<br />
-Gmaas read Twilight EDIT: ...and SURVIVED<br />
<br />
-there is a secret code when put into super smash, Gmass would be a playible character. Too bad he didn't say it.<br />
<br />
-Gmaas was a tribute to one of the Hunger Games and came out a Victor and now lives in District 4<br />
<br />
-Gmaas is the only known creature to survive the destruction of earth in 99999999 years<br />
<br />
-5Space (side admin) is Gmaas. <br />
<br />
=== Gmaas photos ===<br />
http://cdn.artofproblemsolving.com/images/f/f/8/ff8efef3a0d2eb51254634e54bec215b948a1bba.jpg<br />
http://disneycreate.wikia.com/wiki/File:Troll_cat_gif_(1).gif <br />
<br />
He was also sighted here.<br />
<br />
=== gmaas in Popular Culture ===<br />
<br />
- <s>Currently, is being written (by themoocow) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".</s>Sorry, this was a rick roll troll.<br />
<br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
- Sullymath and themoocow are also writing a book about Gmaas<br />
<br />
-Sighting of Gmaas: https://2017.spaceappschallenge.org/challenges/warning-danger-ahead/and-you-can-help-fight-fires/teams/gmaas/project<br />
<br />
-Oryx the mad god is actually gmass wearing a suit of armor. This explains why he is never truly killed<br />
<br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles<br />
<br />
- gmaas was an un-credited actor in the Doctor Who story Knock Knock, playing a Dryad. How he shrunk, we will never know.<br />
<br />
-oadaegan is also writing a story about him. He is continuing the book that was started by JpusheenS. when he is done he will post it here<br />
<br />
-Gmaas is a time traveler from 0.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 B.C.<br />
<br />
-No one knows if Gmass is a Mr. mime in a cat skin, the other way around, or just a downright combination of both.<br />
<br />
-In it, it mentions these four links as things Gmass is having trouble (specifically technical difficulties). What could it mean? Links:<br />
https://docs.google.com/document/d/1NZ0XcFYm80sA-fAoxnm7ulMCwdNU75Va_6ZjRHfSHV0<br />
https://docs.google.com/document/d/1ELN7ORauFFv1dwpU_u-ah_dFJHeuJ3szYxoeC1LlDQg/<br />
https://docs.google.com/document/d/1oy9Q3F7fygHw-OCWNEVE8d-Uob2dxVACFcGUcLmk3fA<br />
https://docs.google.com/document/d/1jzb9Q6FmDmrRyXwnik3e0sYw5bTPMo7aBwugmUbA13o<br />
<br />
<br />
- Another possible Gmaas sighting [https://2017.spaceappschallenge.org/challenges/warning-danger-ahead/and-you-can-help-fight-fires/teams/gmaas/project]<br />
<br />
-<math>Another</math> sighting? [https://www.radarbox24.com/data/flights/GMAAS]<br />
- Yet Another Gmaas sighting ? [https://supportforums.cisco.com/t5/user/viewprofilepage/user-id/45046]<br />
<br />
-Gmaas has been sighted several times on the Global Announcements forum<br />
<br />
-Gmaas uses the following transportation: <img> http://cdn.artofproblemsolving.com/images/3/6/8/368da4e615ea3476355ee3388b39f30a48b8dd48.jpg </img><br />
<br />
- When Gmaas was mad, he started world wars 1 & 2. It is only because of Gmaas that we have not had World War 3.<br />
<br />
- Gmaas is the only cat to have been proved irrational and transcendental, though we suspect all cats fall in the first category.<br />
<br />
- Gmaas plays Geometry Dash and shares an account with Springhill, his username is D3m0nG4m1n9.<br />
<br />
-Gmass has beaten every demon in Geometry Dash along with their unnerfed versions and every upcoming demon too.<br />
<br />
-Gmaas likes to whiz on the wilzo<br />
<br />
-Gmaas has been spotted in AMC 8 Basics<br />
<br />
-Gmaas is cool<br />
<br />
-Gmaas hemoon card that does over 9000000 dmg<br />
<br />
-Gmaas is a skilled swordsman who should not to be mistaken for Puss in Boots. Some say he even trained the mysterious and valiant Meta Knight.<br />
<br />
-Kirby once swallowed Gmaas. Gmaas had to spit him out.<br />
<br />
-Gmaas was the creator of pokemon, and his pokemon card can OHKO anyone in one turn. He is invisible and he will always move first.<br />
<br />
-Gmaas beat Dongmin in The Genius Game Seasons 1, 2, 3, 4, 5, 6, and 7.<br />
<br />
-Gmaas has five letters. Pizza also has five letters. Pizzas are round. Eyes are round. There is an eye in the illuminati symbol. iLLuMiNaTii cOnFiRmEdd<br />
<br />
-Gmaas knows both 'table' and 'tabular' in LaTeX, and can do them in his sleep. <br />
<br />
-Gmaas hates crawdads with the passion of a thousand burning stars. <br />
<br />
-Gmaas does not hate cheddar cheese. But he doesn't love it either. <br />
<br />
-Gmass is a cat and not a cat<br />
<br />
-Gmass was born on the sun<br />
<br />
-Gmass eats tape<br />
<br />
-Gmass likes Bubble Gum<br />
<br />
-Thomas edison did not invent the lightbulb; Gmass did<br />
<br />
-Gmass eats metal<br />
<br />
-Gmass is over 9000 years old!<br />
-EDIT: this is just a DBZ reference, and bears no reality to his true age.<br />
<br />
-Gmass started the Iron Age<br />
<br />
-Gmass made the dinosaurs go extinct<br />
<br />
-Gmass created Life... <br />
<br />
-Gmass created AoPS<br />
-EDIT: AoPS was actually born out of a small fraction of Gmass's abstract reality, and on;y the sheer amount math can keep it here, (it is also rumored that when he reclaims it, the USF will be deleted, as that is where 83% of the factions of his abstract reality lives, and when people leave USF, more and more escapes.)<br />
<br />
-Gmass does not like roblox<br />
<br />
-Gmass invented Geometry Dash<br />
<br />
-Gmass got to 1634 in Flappy Bird<br />
<br />
-Gmass invented Helix Jump<br />
<br />
-Gmass can play Happy Birthday on the Violin<br />
<br />
-Gmass made a piano with 89 keys<br />
<br />
-Gmass made a Violin with 9 strings<br />
<br />
-Gmass eats rubber bands<br />
<br />
-Gmass is neither boy nor girl<br />
<br />
<math>\text{gmaas is watching you\dots}</math></div>Moab33https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=87675Gmaas2017-10-03T01:06:47Z<p>Moab33: </p>
<hr />
<div>=== Known Facts About gmaas === <br />
<br />
<br />
-Gmass's real name is Pablo Diego José Francisco de Paula Juan Nepomuceno María de los Remedios Cipriano de la Santísima Trinidad Ruiz y Picasso [https://www.youtube.com/watch?v=dQw4w9WgXcQ (Source)]<br />
<br />
-Gmass is a certified Ravenclaw and probably the cutest cat ever.<br />
<br />
-Gmaas once slept on sseraj's private water bed, so sseraj locked him in the bathroom <br />
<br />
-Gmaas has superpowers that allow him to overcome the horrors of Mr. Toilet (while he was locked in the bathroom)<br />
<br />
- Gmaas once sat on an orange on a pile of AoPS books, causing an orange flavored equation explosion.<br />
<br />
-Gmaas once conquered the moon and imprinted his face on it until asteroids came.<br />
<br />
-Gmaas is a supreme overlord who must be given a miencraf DIMOND<br />
<br />
- gmaas is the Doctor Who lord; he sports Dalek-painted cars and eats human finger cheese and custard, plus black holes.<br />
<br />
- Gmaas is 5space's favorite animal. [https://www.youtube.com/watch?v=dQw4w9WgXcQ (Source)]<br />
<br />
- He lives with sseraj. <br />
<br />
-Gmaas is my favorite pokemon<br />
<br />
- Gmaas is cool<br />
<br />
- He is often overfed (with probability <math>\frac{3972}{7891}</math>), or malnourished (with probability <math>\frac{3919}{7891}</math>) by sseraj.<br />
<br />
- He has <cmath>\sum_{k=1}^{267795} [k(k+1)]+GMAAS+GMAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAS</cmath> supercars, excluding the Purrari and the 138838383 Teslas. <br />
<br />
- He is an employee of AoPS.<br />
<br />
- He is a gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
- Actually, he is a cat. He said so. And science also says so.<br />
- He is distant relative of Mathcat1234<br />
<br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
- His favorite food is AoPS textbooks, because they help him digest problems.<br />
<br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
- Gmaas sightings are not very common. There have only been 8 confirmed sightings of Gmaas in the wild.<br />
<br />
- Gmaas is a sage omniscient cat.<br />
<br />
- He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
- Places where gmaas sightings have happened: <br />
~The Royal Scoop ice cream store in Bonita Beach Florida<br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
~Alligator Swamp A 1072 <br />
~Alligator Swamp B 1073<br />
~Introduction to Algebra A (1170)<br />
~Introduction to Algebra B (1529)<br />
~Welcome to Panda Town Gate 1076<br />
~Welcome to Gmaas Town Gate 1221<br />
~Welcome to Gmaas Town Gate 1125<br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
~The other side of the ice in Antarctica<br />
~Feisty Alligator Swamp 1115<br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
~Introduction to Counting and Probability 1142 <br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Counting and Probability 1207<br />
~Posting student surveys<br />
~USF Castle Walls 1203<br />
~Dark Lord's Hut 1210<br />
~AMC 10 Problem Series 1200<br />
~Intermediate Number Theory 1138<br />
~Intermediate Number Theory 1476<br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
~Algebra B 1112<br />
<br />
<br />
<br />
<br />
<br />
- These have all been designated as the most glorious sections of Aopsland now (Especially the USF castle walls), but deforestation is so far from threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
- Gmaas has randomly been known to have sent his minions into Prealgebra 2 1163. However, the danger is passed, that class is over.<br />
<br />
- Gmaas once snuck into sseraj's email so he could give pianoman24 an extension in Introduction to Number Theory 1204. This was 1204 minutes after his sighting on 7/27/16.<br />
<br />
- Gmaas also has randomly appeared on top of the USF's Tribal Bases(he seems to prefer the Void Tribe). However, the next day there is normally a puddle in the shape of a cat's underbelly wherever he was sighted. Nobody knows what this does. <br />
<br />
EDIT: Nobody has yet seen him atop a tribal base yet.<br />
<br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
EDIT: The above disguises are rare for a Gmaas, except the cat.<br />
<br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
EDIT: He IS an AoPS site admin.<br />
<br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
- Is this the real life? Is this just fantasy? No. This is Gmaas, the legend.<br />
<br />
-Aha!! An impostor!! <br />
http://www.salford.ac.uk/environment-life-sciences/research/applied-archaeology/greater-manchester-archaeological-advisory-service<br />
(look at the acronym).<br />
<br />
- Gmaas might have been viewing (with a <math>\frac{99999}{100000}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday. If you do a sci-fi version of USF, then prepare to meet your Overpowered soldier with amazing weapons one day.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Vu.<br />
<br />
- Gmaas is on the list of "Elusive Creatures." If you have questions, or want the full list, contact moab33.<br />
<br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
--This above fact is incorrect. math101010 has done this and commented with screenshot proof at the below link, and Gmaas was not summoned.<br />
https://artofproblemsolving.com/community/c287916h1291232<br />
--The above 'proof' is non-conclusive. math101010 had only put an approximation.<br />
<br />
- Gmaas's left eye contains the singularity of a black hole. (Only when everyone in the world blinks at the same time within a nano-nano second.)<br />
<br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure, as Kendra sprinkled holly into his fur.<br />
<br />
-Despite common belief, Harry Potter did not defeat Lord Voldemort. Gmaas did.<br />
<br />
- The original owner of Gmaas is gmaas.<br />
<br />
- Gmaas was not the fourth Peverell brother, but he ascended into higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.)<br />
<br />
- It is suspected that Gmaas may be ordering his cyberhairballs to take the forums, along with microbots.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mu.<br />
<br />
- Gmaas rarely frequents the headquarters of the Illuminati. He is their symbol. Or he was, for one yoctosecond.<br />
EDIT: that is a lie. he IS THE Illuminati. april fools(it's actually july, i do april fools year round)<br />
<br />
- It has been wondered if gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
- It has been confirmed that gmaas uses gmaal as his email service<br />
<br />
- Gmaas enjoys wearing gmean shorts<br />
<br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. <br />
<br />
- Gmaas is well known behind his stage name, Michal Stevens (also known as Vsaace XD), or his page name, Purrshanks.<br />
<br />
- Gmaas rekt sseraj at 12:54 june 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
- Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
- Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seem the Dark Lord's hut knows that both gmaas and the DL (USF code name of the Dark Lord) love BBC. How gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
- The TV has been noticed to be invincible. Many USF weapons, even volcano rings, have tried (and failed) to destroy it. The last time it was seen was on a Kobold display case outside of a mine. The display case was crushed, and a report showed a spy running off with a non-crushed TV.<br />
<br />
- Gmaas is a Super Duper Uper Cat Time Lord. He has <math>57843504</math> regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2\cdot267794=57843504</cmath>. <br />
<br />
-Gmaas highly enjoys destroying squeaky toys until he finds the squeaky part, then destroys the squeaky part<br />
<br />
- Gmaas loves to eat turnips. At <math>\frac{13}{32}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
-Gmaas has a secret hidden garden full of turnips under sseraj's house.<br />
<br />
- Gmaas has three tails, one for everyday life, one for special occasions, and one that's invisible.<br />
<br />
-Gmaas is a dangerous creature. If you ever meet him, immediately join his army or you will be killed.<br />
<br />
-Gmaas is in alliance in the Cult of Skaro. How did he get an alliance with ruthless creatures that want to kill everything on sight? Nobody knows. (Except him.)<br />
<br />
-Gmaas lives on Gallifrey and in Gotham City (he has sleepovers with Batman).<br />
<br />
-Gmaas is an excellent driver.<br />
<br />
-The native location of Gmaas is the twilight zone.<br />
<br />
-Donald Trump once sang "All Hail the Chief" to Gmaas, 3 days after being sworn in as US President.<br />
<br />
- Gmaas like to talk with rrusczyk from time to time.<br />
<br />
- gmaas can shoot fire from his paws.<br />
<br />
- Gmaas is the reason why the USF has the longest thread<br />
<br />
- He (or she) is an avid watcher of the popular T.V. show "Bernie Sanders and the Gauntlet of DOOM"<br />
<br />
- sseraj, in 1521 Introduction to Number Theory, posted an image of gmaas after saying "Who wants to see 5space?" at around 5:16 PM Mountain Time, noting gmaas was "also 5space"<br />
<br />
- Gmaas is now my HD background on my mac.<br />
<br />
-EDIT: he also did it in Introduction to Algebra A once<br />
<br />
- In 1521 Into to Number Theory, sseraj posted an image of a 5space gmaas fusion. (First sighting) <br />
<br />
- Also confirmed that gmaas doesn't like ketchup because it was the only food left the photo.<br />
<br />
- In 1447 Intro to Geometry, sseraj posted a picture of gmaas with a rubik's cube suggesting that gmaas's has an average solve time of <math>-GMAAS</math> seconds.<br />
<br />
-Gmass beat Superman in a fight with ease<br />
<br />
-Gmass was an admin of Roblox<br />
<br />
-Gmass traveled around the world,paying so much <math>MONEY</math> just to eat :D<br />
<br />
-Gmaas is a confirmed Apex predator and should not be approached, unless in a domestic form.<br />
Summary:<br />
<br />
-When Gmaas subtracts <math>0.\overline{99}</math> from <math>1</math>, the difference is greater than <math>0</math>.<br />
<br />
-Gmaas was shown to have fallen on Wed Aug 23 2017: https://ibb.co/bNrtmk https://ibb.co/jzUDmk<br />
<br />
-Gmaas died on August ,24, 2017, but fortunately IceParrot revived him after about 2 mins of being dead.<br />
<br />
-The results of the revival is top secret, and nobody knows what happened.<br />
<br />
-sseraj, in 1496 Prealgebra 2, said that gmaas is Santacat.<br />
<br />
-sseraj likes to post a picture of gmaas in every class he passes by.<br />
<br />
=== gmaas in Popular Culture ===<br />
<br />
- Currently, [https://www.youtube.com/watch?v=dQw4w9WgXcQ a book] is being written (by themoocow) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".<br />
<br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
- Sullymath and themoocow are also writing a book about Gmaas<br />
<br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles<br />
<br />
- gmaas was an un-credited actor in the Doctor Who story Knock Knock, playing a Dryad. How he shrunk, we will never know.<br />
<br />
-oadaegan is also writing a story about him. He is continuing the book that was started by JpusheenS. when he is done he will post it here<br />
<br />
-Gmaas is a time traveler from 0.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 B.C.<br />
<br />
-No one knows if Gmass is a Mr. mime in a cat skin, the other way around, or just a downright combination of both.<br />
<br />
-In it, it mentions these four links as things Gmass is having trouble (specifically technical difficulties). What could it mean? Links:<br />
https://docs.google.com/document/d/1NZ0XcFYm80sA-fAoxnm7ulMCwdNU75Va_6ZjRHfSHV0<br />
https://docs.google.com/document/d/1ELN7ORauFFv1dwpU_u-ah_dFJHeuJ3szYxoeC1LlDQg/<br />
https://docs.google.com/document/d/1oy9Q3F7fygHw-OCWNEVE8d-Uob2dxVACFcGUcLmk3fA<br />
https://docs.google.com/document/d/1jzb9Q6FmDmrRyXwnik3e0sYw5bTPMo7aBwugmUbA13o<br />
<br />
<br />
- Another possible Gmaas sighting [https://2017.spaceappschallenge.org/challenges/warning-danger-ahead/and-you-can-help-fight-fires/teams/gmaas/project]</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=87179Gmaas2017-08-24T23:27:40Z<p>Moab33: </p>
<hr />
<div>=== Known Facts About gmaas === <br />
<br />
<br />
<br />
-Gmaas once slept on sseraj's private water bed, so sseraj locked him in the bathroom <br />
<br />
-Gmaas has superpowers that allow him to overcome the horrors of Mr. Toilet (while he was locked in the bathroom)<br />
<br />
- Gmaas once sat on an orange on a pile of AoPS books, causing an orange flavored equation explosion.<br />
<br />
-Gmaas once conquered the moon and imprinted his face on it until asteroids came.<br />
<br />
-Gmaas is a supreme overlord who must be given a gallon of milk and 4 cans of tuna.<br />
<br />
- gmaas is the Doctor Who lord; he sports Dalek-painted cars and eats human finger cheese and custard, plus black holes.<br />
<br />
- themoocow is gmaas's cousin.<br />
<br />
- Gmaas is <math>\bold{not}</math> Colonel Meow.<br />
<br />
- Gmaas is 5space's favorite animal. [http://artofproblemsolving.com/wiki/index.php?title=File:Gmaas2.png (Source)]<br />
<br />
- He lives with sseraj. <br />
<br />
-Gmaas is my favorite pokemon<br />
<br />
- Gmaas is cool<br />
<br />
- He is often overfed (with probability <math>\frac{3972}{7891}</math>), or malnourished (with probability <math>\frac{3919}{7891}</math>) by sseraj.<br />
<br />
- He has <cmath>\sum_{k=1}^{267795} [k(k+1)]+GMAAS</cmath> supercars, excluding the Purrari and the 138838383 Teslas. <br />
<br />
- He is an employee of AoPS.<br />
<br />
- He is a gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
- Actually, he is a cat. He said so. And science also says so.<br />
- He is distant relative of Mathcat1234<br />
<br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
- His favorite food is AoPS textbooks, because they help him digest problems.<br />
<br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
- Gmaas sightings are not very common. There have only been 8 confirmed sightings of Gmaas in the wild.<br />
<br />
- Gmaas is a sage omniscient cat.<br />
<br />
- He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
- Places where gmaas sightings have happened: <br />
~The Royal Scoop ice cream store in Bonita Beach Florida<br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
~Alligator Swamp A 1072 <br />
~Alligator Swamp B 1073<br />
~Introduction to Algebra A (1170)<br />
~Introduction to Algebra B (1529)<br />
~Welcome to Panda Town Gate 1076<br />
~Welcome to Gmaas Town Gate 1221<br />
~Welcome to Gmaas Town Gate 1125<br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
~The other side of the ice in Antarctica<br />
~Feisty Alligator Swamp 1115<br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
~Introduction to Counting and Probability 1142 <br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Counting and Probability 1207<br />
~Posting student surveys<br />
~USF Castle Walls 1203<br />
~Dark Lord's Hut 1210<br />
~AMC 10 Problem Series 1200<br />
~Intermediate Number Theory 1138<br />
~Intermediate Number Theory 1476<br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
~Algebra B 1112<br />
~33°81'199.4"N 167°05'45.1"W (Uncomfortably near where tigershark22 lives)<br />
~Ocelot Rainforest 1111<br />
~Intermediate Counting and Probability 1137 <br />
~Intermediate Number Theory 1138 (AGAIN)<br />
~AMC 10 Problem Series 1200 (AGAIN)<br />
~Cat Gathering #339 1222<br />
~Cat Gathering #312 1535<br />
~Introduction to Geometry (1190)<br />
~Hogwarts Introduction to Transfiguration (...16168)<br />
~Cat Meow Meow Purr 1110<br />
~Bilbo's Hobbit Hole 1234<br />
~http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx<br />
~Pre-Algebra 1 with sseraj 1164. (Year: 2015) (gmaas code: 6666)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Number Theory 1229 (AGAIN)<br />
~Calculus 1226<br />
~Gallifrey Meeting #123456, 1888.<br />
~On his account of course.<br />
~On FEFF once<br />
~On Mt. Everest at 13:37 in the year 1337 on 1/3 37<br />
~Everywhere in outer space<br />
~Dalekanium Scrapland #5 1729<br />
~Pretty much every class message board. He names the thread "Student Survey"<br />
~Introduction to Number Theory 1521.<br />
~Introduction to Geometry 1447<br />
~Introduction to Geometry 1535<br />
~Introduction to Number Theory 1521 (again)<br />
<br />
<br />
- These have all been designated as the most glorious sections of Aopsland now (Especially the USF castle walls), but deforestation is so far from threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
- Gmaas has randomly been known to have sent his minions into Prealgebra 2 1163. However, the danger is passed, that class is over.<br />
<br />
- Gmaas once snuck into sseraj's email so he could give pianoman24 an extension in Introduction to Number Theory 1204. This was 1204 minutes after his sighting on 7/27/16.<br />
<br />
- Gmaas also has randomly appeared on top of the USF's Tribal Bases(he seems to prefer the Void Tribe). However, the next day there is normally a puddle in the shape of a cat's underbelly wherever he was sighted. Nobody knows what this does. <br />
<br />
EDIT: Nobody has yet seen him atop a tribal base yet.<br />
<br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
EDIT: The above disguises are rare for a Gmaas, except the cat.<br />
<br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
EDIT: He IS an AoPS site admin.<br />
<br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
- Is this the real life? Is this just fantasy? No. This is gmaas, the legend.<br />
<br />
-Aha!! An impostor!! <br />
http://www.salford.ac.uk/environment-life-sciences/research/applied-archaeology/greater-manchester-archaeological-advisory-service<br />
(look at the acronym).<br />
<br />
- Gmaas might have been viewing (with a <math>\frac{99999}{100000}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday. If you do a sci-fi version of USF, then prepare to meet your Overpowered soldier with amazing weapons one day.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Vu.<br />
<br />
- Gmaas is on the list of "Elusive Creatures." If you have questions, or want the full list, contact moab33.<br />
<br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
--This above fact is incorrect. math101010 has done this and commented with screenshot proof at the below link, and Gmaas was not summoned.<br />
https://artofproblemsolving.com/community/c287916h1291232<br />
--The above 'proof' is non-conclusive. math101010 had only put an approximation.<br />
<br />
- Gmaas's left eye contains the singularity of a black hole. (Only when everyone in the world blinks at the same time within a nano-nano second.)<br />
<br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure, as Kendra sprinkled holly into his fur.<br />
<br />
- The original owner of Gmaas is gmaas.<br />
<br />
- Gmaas was not the fourth Peverell brother, but he ascended into higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.)<br />
<br />
- It is suspected that Gmaas may be ordering his cyberhairballs to take the forums, along with microbots.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mu.<br />
<br />
- Gmaas rarely frequents the headquarters of the Illuminati. He is their symbol. Or he was, for one yoctosecond.<br />
EDIT: that is a lie. he IS THE Illuminati. april fools(it's actually july, i do april fools year round)<br />
<br />
- It has been wondered if gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
- It has been confirmed that gmaas uses gmaal as his email service<br />
<br />
- Gmaas enjoys wearing gmean shorts<br />
<br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. <br />
<br />
- Gmaas is well known behind his stage name, Michal Stevens (also known as Vsaace XD), or his page name, Purrshanks.<br />
<br />
- Gmaas rekt sseraj at 12:54 june 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
- Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
- Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seem the Dark Lord's hut knows that both gmaas and the DL (USF code name of the Dark Lord) love BBC. How gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
- The TV has been noticed to be invincible. Many USF weapons, even volcano rings, have tried (and failed) to destroy it. The last time it was seen was on a Kobold display case outside of a mine. The display case was crushed, and a report showed a spy running off with a non-crushed TV.<br />
<br />
- Gmaas is a Super Duper Uper Cat Time Lord. He has <math>57843504</math> regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2\cdot267794=57843504</cmath>. <br />
<br />
-Gmaas highly enjoys destroying squeaky toys until he finds the squeaky part, then destroys the squeaky part<br />
<br />
- Gmaas loves to eat turnips. At <math>\frac{13}{32}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
-Gmaas has a secret hidden garden full of turnips under sseraj's house.<br />
<br />
- Gmaas has three tails, one for everyday life, one for special occasions, and one that's invisible.<br />
<br />
-Gmaas is a dangerous creature. If you ever meet him, immediately join his army or you will be killed.<br />
<br />
-Gmaas is in alliance in the Cult of Skaro. How did he get an alliance with ruthless creatures that want to kill everything on sight? Nobody knows. (Except him.)<br />
<br />
-Gmaas lives on Gallifrey.<br />
<br />
-Gmaas is an excellent driver.<br />
<br />
-The native location of Gmaas is the twilight zone.<br />
<br />
-Donald Trump once sang "All Hail the Chief" to Gmaas, 3 days after being sworn in as US President.<br />
<br />
- Gmaas like to talk with rrusczyk from time to time.<br />
<br />
- gmaas can shoot fire from his paws.<br />
<br />
- Gmaas is the reason why the USF has the longest thread<br />
<br />
- He (or she) is an avid watcher of the popular T.V. show "Bernie Sanders and the Gauntlet of DOOM"<br />
<br />
- sseraj, in 1521 Introduction to Number Theory, posted an image of gmaas after saying "Who wants to see 5space?" at around 5:16 PM Mountain Time, noting gmaas was "also 5space"<br />
<br />
- Gmaas is now my HD background on my mac.<br />
<br />
-EDIT: he also did it in Introduction to Algebra A once<br />
<br />
- In 1521 Into to Number Theory, sseraj posted an image of a 5space gmaas fusion. (First sighting) <br />
<br />
- Also confirmed that gmaas doesn't like ketchup because it was the only food left the photo.<br />
<br />
- In 1447 Intro to Geometry, sseraj posted a picture of gmaas with a rubik's cube suggesting that gmaas's has an average solve time of <math>-GMAAS</math> seconds.<br />
<br />
-Gmaas is a confirmed Apex predator and should not be approached, unless in a domestic form.<br />
Summary:<br />
<br />
-When Gmaas subtracts <math>0.\overline{99}</math> from <math>1</math>, the difference is greater than <math>0</math>.<br />
<br />
-Gmaas was shown to have fallen on Wed Aug 23 2017: https://ibb.co/bNrtmk https://ibb.co/jzUDmk<br />
<br />
=== gmaas in Popular Culture ===<br />
<br />
- Currently, [https://docs.google.com/document/d/1mLa2d_9Qgv4C9cZdThyjA6kSf2ULgwvkVjPVqmsoV2w/edit a book] is being written (by JpusheenS) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".<br />
<br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
- Sullymath is also writing a book about Gmaas<br />
<br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles<br />
<br />
- gmaas was an un-credited actor in the Doctor Who story Knock Knock, playing a Dryad. How he shrunk, we will never know.<br />
<br />
-oadaegan is also writing a story about him. He is continuing the book that was started by JpusheenS. when he is done he will post it here<br />
<br />
-Gmaas is a time traveler from 0.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 B.C.<br />
<br />
-No one knows if Gmass is a Mr. mime in a cat skin, the other way around, or just a downright combination of both.<br />
<br />
-In it, it mentions these four links as things Gmass is having trouble (specifically technical difficulties). What could it mean? Links:<br />
https://docs.google.com/document/d/1NZ0XcFYm80sA-fAoxnm7ulMCwdNU75Va_6ZjRHfSHV0<br />
https://docs.google.com/document/d/1ELN7ORauFFv1dwpU_u-ah_dFJHeuJ3szYxoeC1LlDQg/<br />
https://docs.google.com/document/d/1oy9Q3F7fygHw-OCWNEVE8d-Uob2dxVACFcGUcLmk3fA<br />
https://docs.google.com/document/d/1jzb9Q6FmDmrRyXwnik3e0sYw5bTPMo7aBwugmUbA13o</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=87084Gmaas2017-08-18T00:13:35Z<p>Moab33: </p>
<hr />
<div>=== Known Facts About gmaas === <br />
<br />
<br />
<br />
-Gmaas once slept on sseraj's private water bed, so sseraj locked him in the bathroom <br />
<br />
-Gmaas has superpowers that allow him to overcome the horrors of Mr. Toilet (while he was locked in the bathroom)<br />
<br />
- Gmaas once sat on an orange on a pile of AoPS books, causing an orange flavored equation explosion.<br />
<br />
-Gmaas once conquered the moon and imprinted his face on it until asteroids came.<br />
<br />
-Gmaas is a supreme overlord who must be given a gallon of milk and 4 cans of tuna.<br />
<br />
- gmaas is the Doctor Who lord; he sports Dalek-painted cars and eats human finger cheese and custard, plus black holes.<br />
<br />
- themoocow is gmaas's cousin.<br />
<br />
- Gmaas is <math>\bold{not}</math> Colonel Meow.<br />
<br />
- Gmaas is 5space's favorite animal. [http://artofproblemsolving.com/wiki/index.php?title=File:Gmaas2.png (Source)]<br />
<br />
- He lives with sseraj. <br />
<br />
-Gmaas is my favorite pokemon<br />
<br />
- Gmaas is cool<br />
<br />
- He is often overfed (with probability <math>\frac{3972}{7891}</math>), or malnourished (with probability <math>\frac{3919}{7891}</math>) by sseraj.<br />
<br />
- He has <cmath>\sum_{k=1}^{267795} [k(k+1)]+GMAAS</cmath> supercars, excluding the Purrari and the 138838383 Teslas. <br />
<br />
- He is an employee of AoPS.<br />
<br />
- He is a gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
- Actually, he is a cat. He said so. And science also says so.<br />
- He is distant relative of Mathcat1234<br />
<br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
- His favorite food is AoPS textbooks, because they help him digest problems.<br />
<br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
- Gmaas sightings are not very common. There have only been 8 confirmed sightings of Gmaas in the wild.<br />
<br />
- Gmaas is a sage omniscient cat.<br />
<br />
- He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
- Places where gmaas sightings have happened: <br />
~The Royal Scoop ice cream store in Bonita Beach Florida<br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
~Alligator Swamp A 1072 <br />
~Alligator Swamp B 1073<br />
~Introduction to Algebra A (1170)<br />
~Welcome to Panda Town Gate 1076<br />
~Welcome to Gmaas Town Gate 1221<br />
~Welcome to Gmaas Town Gate 1125<br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
~The other side of the ice in Antarctica<br />
~Feisty Alligator Swamp 1115<br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
~Introduction to Counting and Probability 1142 <br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Counting and Probability 1207<br />
~Posting student surveys<br />
~USF Castle Walls 1203<br />
~Dark Lord's Hut 1210<br />
~AMC 10 Problem Series 1200<br />
~Intermediate Number Theory 1138<br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
~Algebra B 1112<br />
~33°81'199.4"N 167°05'45.1"W (Uncomfortably near where tigershark22 lives)<br />
~Ocelot Rainforest 1111<br />
~Intermediate Counting and Probability 1137 <br />
~Intermediate Number Theory 1138 (AGAIN)<br />
~AMC 10 Problem Series 1200 (AGAIN)<br />
~Cat Gathering #339 1222<br />
~Cat Gathering #312 1535<br />
~Introduction to Geometry (1190)<br />
~Hogwarts Introduction to Transfiguration (...16168)<br />
~Cat Meow Meow Purr 1110<br />
~Bilbo's Hobbit Hole 1234<br />
~http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx<br />
~Pre-Algebra 1 with sseraj 1164. (Year: 2015) (gmaas code: 6666)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Number Theory 1229 (AGAIN)<br />
~Calculus 1226<br />
~Gallifrey Meeting #123456, 1888.<br />
~On his account of course.<br />
~On FEFF once<br />
~On Mt. Everest at 13:37 in the year 1337 on 1/3 37<br />
~Everywhere in outer space<br />
~Dalekanium Scrapland #5 1729<br />
~Pretty much every class message board. He names the thread "Student Survey"<br />
~Introduction Number Theory 1521.<br />
~Introduction to Geometry 1447<br />
<br />
<br />
- These have all been designated as the most glorious sections of Aopsland now (Especially the USF castle walls), but deforestation is so far from threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
- Gmaas has randomly been known to have sent his minions into Prealgebra 2 1163. However, the danger is passed, that class is over.<br />
<br />
- Gmaas once snuck into sseraj's email so he could give pianoman24 an extension in Introduction to Number Theory 1204. This was 1204 minutes after his sighting on 7/27/16.<br />
<br />
- Gmaas also has randomly appeared on top of the USF's Tribal Bases(he seems to prefer the Void Tribe). However, the next day there is normally a puddle in the shape of a cat's underbelly wherever he was sighted. Nobody knows what this does. <br />
<br />
EDIT: Nobody has yet seen him atop a tribal base yet.<br />
<br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
EDIT: The above disguises are rare for a Gmaas, except the cat.<br />
<br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
EDIT: He IS an AoPS site admin.<br />
<br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
- Is this the real life? Is this just fantasy? No. This is gmaas, the legend.<br />
<br />
-Aha!! An impostor!! <br />
http://www.salford.ac.uk/environment-life-sciences/research/applied-archaeology/greater-manchester-archaeological-advisory-service<br />
(look at the acronym).<br />
<br />
- Gmaas might have been viewing (with a <math>\frac{99999}{100000}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday. If you do a sci-fi version of USF, then prepare to meet your Overpowered soldier with amazing weapons one day.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Vu.<br />
<br />
- Gmaas is on the list of "Elusive Creatures." If you have questions, or want the full list, contact moab33.<br />
<br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
--This above fact is incorrect. math101010 has done this and commented with screenshot proof at the below link, and Gmaas was not summoned.<br />
https://artofproblemsolving.com/community/c287916h1291232<br />
--The above 'proof' is non-conclusive. math101010 had only put an approximation.<br />
<br />
- Gmaas's left eye contains the singularity of a black hole. (Only when everyone in the world blinks at the same time within a nano-nano second.)<br />
<br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure, as Kendra sprinkled holly into his fur.<br />
<br />
- The original owner of Gmaas is gmaas.<br />
<br />
- Gmaas was not the fourth Peverell brother, but he ascended into higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.)<br />
<br />
- It is suspected that Gmaas may be ordering his cyberhairballs to take the forums, along with microbots.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mu.<br />
<br />
- Gmaas rarely frequents the headquarters of the Illuminati. He is their symbol. Or he was, for one yoctosecond.<br />
EDIT: that is a lie. he IS THE Illuminati. april fools(it's actually july, i do april fools year round)<br />
<br />
- It has been wondered if gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
- It has been confirmed that gmaas uses gmaal as his email service<br />
<br />
- Gmaas enjoys wearing gmean shorts<br />
<br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. <br />
<br />
- Gmaas is well known behind his stage name, Michal Stevens (also known as Vsaace XD), or his page name, Purrshanks.<br />
<br />
- Gmaas rekt sseraj at 12:54 june 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
- Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
- Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seem the Dark Lord's hut knows that both gmaas and the DL (USF code name of the Dark Lord) love BBC. How gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
- The TV has been noticed to be invincible. Many USF weapons, even volcano rings, have tried (and failed) to destroy it. The last time it was seen was on a Kobold display case outside of a mine. The display case was crushed, and a report showed a spy running off with a non-crushed TV.<br />
<br />
- Gmaas is a Super Duper Uper Cat Time Lord. He has <math>57843504</math> regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2\cdot267794=57843504</cmath>. <br />
<br />
-Gmaas highly enjoys destroying squeaky toys until he finds the squeaky part, then destroys the squeaky part<br />
<br />
- Gmaas loves to eat turnips. At <math>\frac{13}{32}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
-Gmaas has a secret hidden garden full of turnips under sseraj's house.<br />
<br />
- Gmaas has three tails, one for everyday life, one for special occasions, and one that's invisible.<br />
<br />
-Gmaas is a dangerous creature. If you ever meet him, immediately join his army or you will be killed.<br />
<br />
-Gmaas is in alliance in the Cult of Skaro. How did he get an alliance with ruthless creatures that want to kill everything on sight? Nobody knows. (Except him.)<br />
<br />
-Gmaas lives on Gallifrey.<br />
<br />
-Gmaas is an excellent driver.<br />
<br />
-The native location of Gmaas is the twilight zone.<br />
<br />
-Donald Trump once sang "All Hail the Chief" to Gmaas, 3 days after being sworn in as US President.<br />
<br />
- Gmaas like to talk with rrusczyk from time to time.<br />
<br />
- gmaas can shoot fire from his paws.<br />
<br />
- Gmaas is the reason why the USF has the longest thread<br />
<br />
- He (or she) is an avid watcher of the popular T.V. show "Bernie Sanders and the Gauntlet of DOOM"<br />
<br />
- sseraj, in 1521 Introduction to Number Theory, posted an image of gmaas after saying "Who wants to see 5space?" at around 5:16 PM Mountain Time, noting gmaas was "also 5space"<br />
<br />
- Gmaas is now my HD background on my mac.<br />
<br />
-EDIT: he also did it in Introduction to Algebra A once<br />
<br />
- In 1521 Into to Number Theory, sseraj posted an image of a 5space gmaas fusion. (First sighting) <br />
<br />
- Also confirmed that gmaas doesn't like ketchup because it was the only food left the photo.<br />
<br />
- In 1447 Intro to Geometry, sseraj posted a picture of gmaas with a rubik's cube suggesting that gmaas's has an average solve time of <math>-GMAAS</math> seconds.<br />
<br />
-Gmaas is a confirmed Apex predator and should not be approached, unless in a domestic form.<br />
Summary:<br />
<br />
-When Gmaas subtracts <math>0.\overline{99}</math> from <math>1</math>, the difference is greater than <math>0</math>.<br />
<br />
=== gmaas in Popular Culture ===<br />
<br />
- Currently, [https://docs.google.com/document/d/1mLa2d_9Qgv4C9cZdThyjA6kSf2ULgwvkVjPVqmsoV2w/edit a book] is being written (by JpusheenS) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".<br />
<br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
- Sullymath is also writing a book about Gmaas<br />
<br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles<br />
<br />
- gmaas was an un-credited actor in the Doctor Who story Knock Knock, playing a Dryad. How he shrunk, we will never know.<br />
<br />
-oadaegan is also writing a story about him. He is continuing the book that was started by JpusheenS. when he is done he will post it here<br />
<br />
-Gmaas is a time traveler from 0.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 B.C.<br />
<br />
-No one knows if Gmass is a Mr. mime in a cat skin, the other way around, or just a downright combination of both.<br />
<br />
-In it, it mentions these four links as things Gmass is having trouble (specifically technical difficulties). What could it mean? Links:<br />
https://docs.google.com/document/d/1NZ0XcFYm80sA-fAoxnm7ulMCwdNU75Va_6ZjRHfSHV0<br />
https://docs.google.com/document/d/1ELN7ORauFFv1dwpU_u-ah_dFJHeuJ3szYxoeC1LlDQg/<br />
https://docs.google.com/document/d/1oy9Q3F7fygHw-OCWNEVE8d-Uob2dxVACFcGUcLmk3fA<br />
https://docs.google.com/document/d/1jzb9Q6FmDmrRyXwnik3e0sYw5bTPMo7aBwugmUbA13o</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=2012_AMC_10B_Problems/Problem_13&diff=870812012 AMC 10B Problems/Problem 132017-08-17T20:05:59Z<p>Moab33: Undo revision 87071 by Jaylonbrown (talk)</p>
<hr />
<div>== Problem ==<br />
It takes Clea 60 seconds to walk down an escalator when it is not operating, and only 24 seconds to walk down the escalator when it is operating. How many seconds does it take Clea to ride down the operating escalator when she just stands on it?<br />
<br />
<math> \textbf{(A)}\ 36\qquad\textbf{(B)}\ 40\qquad\textbf{(C)}\ 42\qquad\textbf{(D)}\ 48\qquad\textbf{(E)}\ 52 </math><br />
<br />
== Solution 1==<br />
<br />
Let <math>s</math> be the speed of the escalator and <math>c</math> be the speed of Clea. Using <math>d = v t</math>, the first statement can be translated to the equation <math>d = 60c</math>. The second statement can be translated to <math>d = 24(c+s)</math>. Since the same distance is being covered in each scenario, we can set the two equations equal and solve for <math>s</math>. We find that <math>s = \dfrac{3c}{2}</math>. The problem asks for the time it takes her to ride down the escalator when she just stands on it. Since <math>t = \dfrac{d}{s}</math> and <math>d = 60c</math>, we have <math>t = \dfrac{60c}{\dfrac{3c}{2}} = 40</math> seconds. Answer choice <math>\boxed{B}</math> is correct.<br />
<br />
== Solution 2==<br />
<br />
Let <math>s</math> be the speed of the escalator and <math>c</math> be the speed of Clea. Then without loss of generality, assume that the length of the escalator be 1. Then <math>c=\dfrac{1}{60}</math> and <math>c+s=\dfrac{1}{24}</math>, so <math>s=\dfrac{1}{24}-\dfrac{1}{60}=\dfrac{1}{40}</math>. Thus the time it takes for Clea to ride down the operating escalator when she just stands on it is <math>\dfrac{1}{\dfrac{1}{40}}=\boxed{\textbf{(B)}\ 40}</math>.<br />
<br />
==See Also==<br />
<br />
{{AMC10 box|year=2012|ab=B|num-b=12|num-a=14}}<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=2012_AMC_10B_Problems/Problem_13&diff=870802012 AMC 10B Problems/Problem 132017-08-17T20:05:37Z<p>Moab33: Undo revision 87072 by Jaylonbrown (talk)</p>
<hr />
<div>== Problem ==<br />
It takes Clea 60 seconds to walk down an escalator when it is not operating, and only 24 seconds to walk down the escalator when it is operating. How many seconds does it take Clea to ride down the operating escalator when she just stands on it?<br />
<br />
<math> \textbf{(A)}\ 36\qquad\textbf{(B)}\ 40\qquad\textbf{(C)}\ 42\qquad\textbf{(D)}\ 48\qquad\textbf{(E)}\ 52 </math><br />
<br />
== Solution 1==<br />
<br />
Let <math>s</math> be the speed of the escalator and <math>c</math> be the speed of Clea. Using <math>d = v t</math>, the first statement can be translated to the equation <math>d = 60c</math>. The second statement can be translated to <math>d = 24(c+s)</math>. Since the same distance is being covered in each scenario, we can set the two equations equal and solve for <math>s</math>. We find that <math>s = \dfrac{3c}{2}</math>. The problem asks for the time it takes her to ride down the escalator when she just stands on it. Since <math>t = \dfrac{d}{s}</math> and <math>d = 60c</math>, we have <math>t = \dfrac{60c}{\dfrac{3c}{2}} = 40</math> seconds. Answer choice <math>\boxed{SIPPPPPPANAKnmAK}</math> is correct.<br />
<h3>P.R.A.N.K.E.D<br />
<br />
== Solution 2==<br />
<br />
Let <math>s</math> be the speed of the escalator and <math>c</math> be the speed of Clea. Then without loss of generality, assume that the length of the escalator be 1. Then <math>c=\dfrac{1}{60}</math> and <math>c+s=\dfrac{1}{24}</math>, so <math>s=\dfrac{1}{24}-\dfrac{1}{60}=\dfrac{1}{40}</math>. Thus the time it takes for Clea to ride down the operating escalator when she just stands on it is <math>\dfrac{1}{\dfrac{1}{40}}=\boxed{\textbf{(B)}\ 40}</math>.<br />
<br />
==See Also==<br />
<br />
{{AMC10 box|year=2012|ab=B|num-b=12|num-a=14}}<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=86479Gmaas2017-07-20T23:24:38Z<p>Moab33: </p>
<hr />
<div>=== Known Facts About gmaas === <br />
<br />
[b] TRY TO FIND THE HIDDEN PARADOX![/b]<br />
<br />
-Gmaas once slept on sseraj's private water bed, so sseraj locked him in the bathroom <br />
<br />
-Gmaas has superpowers that allow him to overcome the horrors of Mr. Toilet (while he was locked in the bathroom)<br />
<br />
- Gmaas once sat on an orange on a pile of AoPS books, causing an orange flavored equation explosion.<br />
<br />
-Gmaas once conquered the moon and imprinted his face on it until asteroids came.<br />
<br />
-Gmaas is a supreme overlord who must be given a gallon of milk and 4 cans of tuna.<br />
<br />
- gmaas is the Doctor Who lord; he sports Dalek-painted cars and eats human finger cheese and custard, plus black holes.<br />
<br />
- themoocow is gmaas's cousin.<br />
<br />
- Gmaas is <math>\bold{not}</math> Colonel Meow.<br />
<br />
- Gmaas is 5space's favorite animal. [http://artofproblemsolving.com/wiki/index.php?title=File:Gmaas2.png (Source)]<br />
<br />
- He lives with sseraj. <br />
<br />
- Gmaas is cool<br />
<br />
- He is often overfed (with probability <math>\frac{3972}{7891}</math>), or malnourished (with probability <math>\frac{3919}{7891}</math>) by sseraj.<br />
<br />
- He has <cmath>\sum_{k=1}^{267795} [k(k+1)]+GMAAS</cmath> supercars, excluding the Purrari and the 138838383 Teslas. <br />
<br />
- He is an employee of AoPS.<br />
<br />
- He is a gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
- Actually, he is a cat. He said so. And science also says so.<br />
- He is distant relative of Mathcat1234<br />
<br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
- His favorite food is AoPS textbooks, because they help him digest problems.<br />
<br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
- Gmaas sightings are not very common. There have only been 8 confirmed sightings of Gmaas in the wild.<br />
<br />
- Gmaas is a sage omniscient cat.<br />
<br />
- He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
- Places where gmaas sightings have happened: <br />
~The Royal Scoop ice cream store in Bonita Beach Florida<br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
~Alligator Swamp A 1072 <br />
~Alligator Swamp B 1073<br />
~Introduction to Algebra A (1170)<br />
~Welcome to Panda Town Gate 1076<br />
~Welcome to Gmaas Town Gate 1221<br />
~Welcome to Gmaas Town Gate 1125<br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
~The other side of the ice in Antarctica<br />
~Feisty Alligator Swamp 1115<br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
~Introduction to Counting and Probability 1142 <br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Counting and Probability 1207<br />
~Posting student surveys<br />
~USF Castle Walls 1203<br />
~Dark Lord's Hut 1210<br />
~AMC 10 Problem Series 1200<br />
~Intermediate Number Theory 1138<br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
~Algebra B 1112<br />
~33°81'199.4"N 167°05'45.1"W (Uncomfortably near where tigershark22 lives)<br />
~Ocelot Rainforest 1111<br />
~Intermediate Counting and Probability 1137 <br />
~Intermediate Number Theory 1138 (AGAIN)<br />
~AMC 10 Problem Series 1200 (AGAIN)<br />
~Cat Gathering #339 1222<br />
~Cat Gathering #312 1535<br />
~Introduction to Geometry (1190)<br />
~Hogwarts Introduction to Transfiguration (...16168)<br />
~Cat Meow Meow Purr 1110<br />
~Bilbo's Hobbit Hole 1234<br />
~http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx<br />
~Pre-Algebra 1 with sseraj 1164. (Year: 2015) (gmaas code: 6666)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Number Theory 1229 (AGAIN)<br />
~Calculus 1226<br />
~Gallifrey Meeting #123456, 1888.<br />
~On his account of course.<br />
~On FEFF once<br />
~On Mt. Everest at 13:37 in the year 1337 on 1/3 37<br />
~Everywhere in outer space<br />
~Dalekanium Scrapland #5 1729<br />
~Pretty much every class message board. He names the thread "Student Survey"<br />
~Introduction Number Theory 1521.<br />
<br />
<br />
- These have all been designated as the most glorious sections of Aopsland now (Especially the USF castle walls), but deforestation is so far from threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
- Gmaas has randomly been known to have sent his minions into Prealgebra 2 1163. However, the danger is passed, that class is over.<br />
<br />
- Gmaas once snuck into sseraj's email so he could give pianoman24 an extension in Introduction to Number Theory 1204. This was 1204 minutes after his sighting on 7/27/16.<br />
<br />
- Gmaas also has randomly appeared on top of the USF's Tribal Bases(he seems to prefer the Void Tribe). However, the next day there is normally a puddle in the shape of a cat's underbelly wherever he was sighted. Nobody knows what this does. <br />
<br />
EDIT: Nobody has yet seen him atop a tribal base yet.<br />
<br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
EDIT: The above disguises are rare for a Gmaas, except the cat.<br />
<br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
EDIT: He IS an AoPS site admin.<br />
<br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
- Is this the real life? Is this just fantasy? No. This is gmaas, the legend.<br />
<br />
-Aha!! An impostor!! <br />
http://www.salford.ac.uk/environment-life-sciences/research/applied-archaeology/greater-manchester-archaeological-advisory-service<br />
(look at the acronym).<br />
<br />
- Gmaas might have been viewing (with a <math>\frac{99999}{100000}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday. If you do a sci-fi version of USF, then prepare to meet your Overpowered soldier with amazing weapons one day.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Vu.<br />
<br />
- Gmaas is on the list of "Elusive Creatures." If you have questions, or want the full list, contact moab33.<br />
<br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
--This above fact is incorrect. math101010 has done this and commented with screenshot proof at the below link, and Gmaas was not summoned.<br />
https://artofproblemsolving.com/community/c287916h1291232<br />
--The above 'proof' is non-conclusive. math101010 had only put an approximation.<br />
<br />
- Gmaas's left eye contains the singularity of a black hole. (Only when everyone in the world blinks at the same time within a nano-nano second.)<br />
<br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure, as Kendra sprinkled holly into his fur.<br />
<br />
- The original owner of Gmaas is gmaas.<br />
<br />
- Gmaas was not the fourth Peverell brother, but he ascended into higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.)<br />
<br />
- It is suspected that Gmaas may be ordering his cyberhairballs to take the forums, along with microbots.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mu.<br />
<br />
- Gmaas rarely frequents the headquarters of the Illuminati. He is their symbol. Or he was, for one yoctosecond.<br />
<br />
- It has been wondered if gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
- It has been confirmed that gmaas uses gmaal as his email service<br />
<br />
- Gmaas enjoys wearing gmean shorts<br />
<br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. <br />
<br />
- Gmaas is well known behind his stage name, Michal Stevens (also known as Vsaace XD), or his page name, Purrshanks.<br />
<br />
- Gmaas rekt sseraj at 12:54 june 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
- Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
- Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seem the Dark Lord's hut knows that both gmaas and the DL (USF code name of the Dark Lord) love BBC. How gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
- The TV has been noticed to be invincible. Many USF weapons, even volcano rings, have tried (and failed) to destroy it. The last time it was seen was on a Kobold display case outside of a mine. The display case was crushed, and a report showed a spy running off with a non-crushed TV.<br />
<br />
- Gmaas is a Super Duper Uper Cat Time Lord. He has <math>57843504</math> regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2\cdot267794=57843504</cmath>. <br />
<br />
-Gmaas highly enjoys destroying squeaky toys until he finds the squeaky part, then destroys the squeaky part<br />
<br />
- Gmaas loves to eat turnips. At <math>\frac{13}{32}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
-Gmaas has a secret hidden garden full of turnips under sseraj's house.<br />
<br />
- Gmaas has three tails, one for everyday life, one for special occasions, and one that's invisible.<br />
<br />
-Gmaas is a dangerous creature. If you ever meet him, immediately join his army or you will be killed.<br />
<br />
-Gmaas is in alliance in the Cult of Skaro. How did he get an alliance with ruthless creatures that want to kill everything on sight? Nobody knows. (Except him.)<br />
<br />
-Gmaas lives on Gallifrey.<br />
<br />
-Gmaas is an excellent driver.<br />
<br />
-The native location of Gmaas is the twilight zone.<br />
<br />
-Donald Trump once sang "All Hail the Chief" to Gmaas, 3 days after being sworn in as US President.<br />
<br />
- Gmaas like to talk with rrusczyk from time to time.<br />
<br />
- gmaas can shoot fire from his paws.<br />
<br />
- Gmass is the reason why the USF has the longest thread<br />
<br />
- He (or she) is an avid watcher of the popular T.V. show "Bernie Sanders and the Gauntlet of DOOM"<br />
<br />
- sseraj, in 1521 Introduction to Number Theory, posted an image of gmaas after saying "Who wants to see 5space?" at around 5:16 PM Mountain Time, noting gmaas was "also 5space"<br />
<br />
Summary: <br />
<br />
=== gmaas in Popular Culture ===<br />
<br />
- Currently, [https://docs.google.com/document/d/1mLa2d_9Qgv4C9cZdThyjA6kSf2ULgwvkVjPVqmsoV2w/edit a book] is being written (by JpusheenS) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".<br />
<br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
- Sullymath is also writing a book about Gmaas<br />
<br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles<br />
<br />
- gmaas was an un-credited actor in the Doctor Who story Knock Knock, playing a Dryad. How he shrunk, we will never know.<br />
<br />
-oadaegan is also writing a story about him. He is continuing the book that was started by JpusheenS. when he is done he will post it here<br />
<br />
-Gmaas is a time traveler from 0.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 B.C.<br />
<br />
-No one knows if Gmass is a Mr. mime in a cat skin, the other way around, or just a downright combination of both.<br />
<br />
-In it, it mentions these four links as things Gmass is having trouble (specifically technical difficulties). What could it mean? Links:<br />
https://docs.google.com/document/d/1NZ0XcFYm80sA-fAoxnm7ulMCwdNU75Va_6ZjRHfSHV0<br />
https://docs.google.com/document/d/1ELN7ORauFFv1dwpU_u-ah_dFJHeuJ3szYxoeC1LlDQg/<br />
https://docs.google.com/document/d/1oy9Q3F7fygHw-OCWNEVE8d-Uob2dxVACFcGUcLmk3fA<br />
https://docs.google.com/document/d/1jzb9Q6FmDmrRyXwnik3e0sYw5bTPMo7aBwugmUbA13o</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=LaTeX:Symbols&diff=85719LaTeX:Symbols2017-05-20T01:32:19Z<p>Moab33: </p>
<hr />
<div>{{Latex}}<br />
<br />
This article will provide a short list of commonly used LaTeX symbols. <br />
<br />
== Common Symbols ==<br />
<br />
=== Operators ===<br />
<br />
=== Relations ===<br />
<br />
== Finding Other Symbols ==<br />
<br />
Here are some external resources for finding less commonly used symbols:<br />
<ul><br />
<li><br />
[http://detexify.kirelabs.org/classify.html Detexify] is an app which allows you to draw the symbol you'd like and shows you the <math>\LaTeX</math> code for it!<br />
<br/><br/></li><br />
<br />
<li><br />
MathJax (what allows us to use <math>\LaTeX</math> on the web) maintains a [http://docs.mathjax.org/en/latest/tex.html#supported-latex-commands list of supported commands].<br />
<br/><br/></li><br />
<br />
<li><br />
[http://mirrors.ctan.org/info/symbols/comprehensive/symbols-a4.pdf The Comprehensive LaTeX Symbol List].<br />
<br/><br/></li><br />
</ul><br />
<br />
-------------------------------------------------------------------------------------------------------------<br />
<br />
==Operators==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\pm</math>||\pm||<math>\mp</math>||\mp||<math>\times</math>||\times<br />
|-<br />
|<math>\div</math>||\div||<math>\cdot</math>||\cdot||<math>\ast</math>||\ast<br />
|-<br />
|<math>\star</math>||\star||<math>\dagger</math>||\dagger||<math>\ddagger</math>||\ddagger<br />
|-<br />
|<math>\amalg</math>||\amalg||<math>\cap</math>||\cap||<math>\cup</math>||\cup<br />
|-<br />
|<math>\uplus</math>||\uplus||<math>\sqcap</math>||\sqcap||<math>\sqcup</math>||\sqcup<br />
|-<br />
|<math>\vee</math>||\vee||<math>\wedge</math>||\wedge||<math>\oplus</math>||\oplus<br />
|-<br />
|<math>\ominus</math>||\ominus||<math>\otimes</math>||\otimes||<math>\circ</math>||\circ<br />
|-<br />
|<math>\bullet</math>||\bullet||<math>\diamond</math>||\diamond||<math>\lhd</math>||\lhd<br />
|-<br />
|<math>\rhd</math>||\rhd||<math>\unlhd</math>||\unlhd||[[Image:Unrhd.gif]]||\unrhd<br />
|-<br />
|<math>\oslash</math>||\oslash||<math>\odot</math>||\odot||<math>\bigcirc</math>||\bigcirc<br />
|-<br />
|<math>\triangleleft</math>||\triangleleft||<math>\Diamond</math>||\Diamond||<math>\bigtriangleup</math>||\bigtriangleup<br />
|-<br />
|<math>\bigtriangledown</math>||\bigtriangledown||<math>\Box</math>||\Box||<math>\triangleright</math>||\triangleright<br />
|-<br />
|<math>\setminus</math>||\setminus||<math>\wr</math>||\wr||<math>\sqrt{x}</math>||\sqrt{x}<br />
|-<br />
|<math>x^{\circ}</math>||x^{\circ}||<math>\triangledown</math>||\triangledown||<math>\sqrt[n]{x}</math>||\sqrt[n]{x}<br />
|-<br />
|<math>a^x</math>||a^x||<math>a^{xyz}</math>||a^{xyz}<br />
|}<br />
<br />
==Relations==<br />
{| class="latextable"<br />
!Symbol !! Command !!Symbol !! Command!!Symbol !! Command<br />
|-<br />
| <math>\le</math>||\le||<math>\ge</math>||\ge||<math>\neq</math>||\neq<br />
|-<br />
| <math>\sim</math>||\sim||<math>\ll</math>||\ll||<math>\gg</math>||\gg<br />
|-<br />
| <math>\doteq</math>||\doteq||<math>\simeq</math>||\simeq||<math>\subset</math>||\subset<br />
|-<br />
| <math>\supset</math>||\supset||<math>\approx</math>||\approx||<math>\asymp</math>||\asymp<br />
|-<br />
| <math>\subseteq</math>||\subseteq||<math>\supseteq</math>||\supseteq||<math>\cong</math>||\cong<br />
|-<br />
| <math>\smile</math>||\smile||<math>\sqsubset</math>||\sqsubset||<math>\sqsupset</math>||\sqsupset<br />
|-<br />
| <math>\equiv</math>||\equiv||<math>\frown</math>||\frown||<math>\sqsubseteq</math>||\sqsubseteq<br />
|-<br />
| <math>\sqsupseteq</math>||\sqsupseteq||<math>\propto</math>||\propto||<math>\bowtie</math>||\bowtie<br />
|-<br />
| <math>\in</math>||\in||<math>\ni</math>||\ni||<math>\prec</math>||\prec<br />
|-<br />
| <math>\succ</math>||\succ||<math>\vdash</math>||\vdash||<math>\dashv</math>||\dashv<br />
|-<br />
| <math>\preceq</math>||\preceq||<math>\succeq</math>||\succeq||<math>\models</math>||\models<br />
|-<br />
| <math>\perp</math>||\perp||<math>\parallel</math>||\parallel||<br />
|-<br />
| <math>\mid</math>||\mid||<math>\bumpeq</math>||\bumpeq||<br />
|}<br />
Negations of many of these relations can be formed by just putting \not before the symbol, or by slipping an n between the \ and the word. Here are a few examples, plus a few other negations; it works for many of the others as well.<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\nmid</math>||\nmid||<math>\nleq</math>||\nleq||<math>\ngeq</math>||\ngeq<br />
|-<br />
| <math>\nsim</math>||\nsim||<math>\ncong</math>||\ncong||<math>\nparallel</math>||\nparallel<br />
|-<br />
| <math>\not<</math>||\not<||<math>\not></math>||\not>||<math>\not=</math>||\not=<br />
|-<br />
| <math>\not\le</math>||\not\le||<math>\not\ge</math>||\not\ge||<math>\not\sim</math>||\not\sim<br />
|-<br />
|<math>\not \approx</math>||\not\approx||<math>\not\cong</math>||\not\cong||<math>\not\equiv</math>||\not\equiv<br />
|-<br />
| <math>\not\parallel</math>||\not\parallel||<math>\nless</math>||\nless||<math>\ngtr</math>||\ngtr<br />
|-<br />
| <math>\lneq</math>||\lneq||<math>\gneq</math>||\gneq||<math>\lnsim</math>||\lnsim<br />
|-<br />
| <math>\lneqq</math>||\lneqq||<math>\gneqq</math>||\gneqq<br />
|}<br />
<br />
To use other relations not listed here, such as =, >, and <, in LaTeX, you may just use the symbols on your keyboard.<br />
<br />
==Greek Letters==<br />
{| class="latextable"<br />
|+ Lowercase Letters<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\alpha</math>||\alpha||<math>\beta</math>||\beta||<math>\gamma</math>||\gamma||<math>\delta</math>||\delta<br />
|-<br />
| <math>\epsilon</math>||\epsilon||<math>\varepsilon</math>||\varepsilon||<math>\zeta</math>||\zeta||<math>\eta</math>||\eta<br />
|-<br />
| <math>\theta</math>||\theta||<math>\vartheta</math>||\vartheta||<math>\iota</math>||\iota||<math>\kappa</math>||\kappa<br />
|-<br />
| <math>\lambda</math>||\lambda||<math>\mu</math>||\mu||<math>\nu</math>||\nu||<math>\xi</math>||\xi<br />
|-<br />
|<math>\pi</math>||\pi||<math>\varpi</math>||\varpi||<math>\rho</math>||\rho||<math>\varrho</math>||\varrho<br />
|-<br />
| <math>\sigma</math>||\sigma||<math>\varsigma</math>||\varsigma||<math>\tau</math>||\tau||<math>\upsilon</math>||\upsilon<br />
|-<br />
| <math>\phi</math>||\phi||<math>\varphi</math>||\varphi||<math>\chi</math>||\chi||<math>\psi</math>||\psi<br />
|-<br />
| <math>\omega</math>||\omega<br />
|}<br />
<br />
<br />
{| class="latextable"<br />
|+ Capital Letters<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\Gamma</math>||\Gamma||<math>\Delta</math>||\Delta||<math>\Theta</math>||\Theta||<math>\Lambda</math>||\Lambda<br />
|-<br />
| <math>\Xi</math>||\Xi||<math>\Pi</math>||\Pi||<math>\Sigma</math>||\Sigma||<math>\Upsilon</math>||\Upsilon<br />
|-<br />
| <math>\Phi</math>||\Phi||<math>\Psi</math>||\Psi||<math>\Omega</math>||\Omega<br />
|}<br />
<br />
<br />
== Arrows ==<br />
<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\gets</math>||\gets||<math>\to</math>||\to<br />
|-<br />
|<math>\leftarrow</math>||\leftarrow||<math>\Leftarrow</math>||\Leftarrow<br />
|-<br />
|<math>\rightarrow</math>||\rightarrow||<math>\Rightarrow</math>||\Rightarrow<br />
|-<br />
|<math>\leftrightarrow</math>||\leftrightarrow||<math>\Leftrightarrow</math>||\Leftrightarrow<br />
|-<br />
|<math>\mapsto</math>||\mapsto||<math>\hookleftarrow</math>||\hookleftarrow<br />
|-<br />
|<math>\leftharpoonup</math>||\leftharpoonup||<math>\leftharpoondown</math>||\leftharpoondown<br />
|-<br />
|<math>\rightleftharpoons</math>||\rightleftharpoons||<math>\longleftarrow</math>||\longleftarrow<br />
|-<br />
|<math>\Longleftarrow</math>||\Longleftarrow||<math>\longrightarrow</math>||\longrightarrow<br />
|-<br />
|<math>\Longrightarrow</math>||\Longrightarrow||<math>\longleftrightarrow</math>||\longleftrightarrow<br />
|-<br />
|<math>\Longleftrightarrow</math>||\Longleftrightarrow||<math>\longmapsto</math>||\longmapsto<br />
|-<br />
|<math>\hookrightarrow</math>||\hookrightarrow||<math>\rightharpoonup</math>||\rightharpoonup<br />
|-<br />
|<math>\rightharpoondown</math>||\rightharpoondown||<math>\leadsto</math>||\leadsto<br />
|-<br />
|<math>\uparrow</math>||\uparrow||<math>\Uparrow</math>||\Uparrow<br />
|-<br />
|<math>\downarrow</math>||\downarrow||<math>\Downarrow</math>||\Downarrow<br />
|-<br />
|<math>\updownarrow</math>||\updownarrow||<math>\Updownarrow</math>||\Updownarrow<br />
|-<br />
|<math>\nearrow</math>||\nearrow||<math>\searrow</math>||\searrow<br />
|-<br />
|<math>\swarrow</math>||\swarrow||<math>\nwarrow</math>||\nwarrow<br />
|}<br />
(For those of you who hate typing long strings of letters, \iff and \implies can be used in place of \Longleftrightarrow and \Longrightarrow respectively.)<br />
<br />
==Dots==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|- <br />
|<math>\cdot</math>||\cdot|| |<math>\vdots</math>||\vdots|| <br />
|- <br />
|<math>\dots</math>||\dots|| |<math>\ddots</math>||\ddots||<br />
|-<br />
|<math>\cdots</math>||\cdots|| |<math>\iddots</math>||\iddots||<br />
<br />
|}<br />
<br />
==Accents==<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\hat{x}</math>||\hat{x}||<math>\check{x}</math>||\check{x}||<math>\dot{x}</math>||\dot{x}<br />
|-<br />
|<math>\breve{x}</math>||\breve{x}||<math>\acute{x}</math>||\acute{x}||<math>\ddot{x}</math>||\ddot{x}<br />
|-<br />
|<math>\grave{x}</math>||\grave{x}||<math>\tilde{x}</math>||\tilde{x}||<math>\mathring{x}</math>||\mathring{x}<br />
|-<br />
|<math>\bar{x}</math>||\bar{x}||<math>\vec{x}</math>||\vec{x}<br />
|}<br />
When applying accents to i and j, you can use \imath and \jmath to keep the dots from interfering with the accents:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\vec{\jmath}</math>||\vec{\jmath}||<math>\tilde{\imath}</math>||\tilde{\imath}<br />
|}<br />
\tilde and \hat have wide versions that allow you to accent an expression:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\widehat{7+x}</math>||\widehat{7+x}||<math>\widetilde{abc}</math>||\widetilde{abc}<br />
|}<br />
<br />
==Others==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command <br />
|-<br />
|<math>\infty</math>||\infty||<math>\triangle</math>||\triangle||<math>\angle</math>||\angle<br />
|-<br />
|<math>\aleph</math>||\aleph||<math>\hbar</math>||\hbar||<math>\imath</math>||\imath<br />
|-<br />
|<math>\jmath</math>||\jmath||<math>\ell</math>||\ell||<math>\wp</math>||\wp<br />
|-<br />
|<math>\Re</math>||\Re||<math>\Im</math>||\Im||<math>\mho</math>||\mho<br />
|-<br />
|<math>\prime</math>||\prime||<math>\emptyset</math>||\emptyset||<math>\nabla</math>||\nabla<br />
|-<br />
|<math>\surd</math>||\surd||<math>\partial</math>||\partial||<math>\top</math>||\top<br />
|-<br />
|<math>\bot</math>||\bot||<math>\vdash</math>||\vdash||<math>\dashv</math>||\dashv<br />
|-<br />
|<math>\forall</math>||\forall||<math>\exists</math>||\exists||<math>\neg</math>||\neg<br />
|-<br />
|<math>\flat</math>||\flat||<math>\natural</math>||\natural||<math>\sharp</math>||\sharp<br />
|-<br />
|<math>\backslash</math>||\backslash||<math>\Box</math>||\Box||<math>\Diamond</math>||\Diamond<br />
|-<br />
|<math>\clubsuit</math>||\clubsuit||<math>\diamondsuit</math>||\diamondsuit||<math>\heartsuit</math>||\heartsuit<br />
|-<br />
|[[Image:Spadesuit.gif]]||\spadesuit||<math>\Join</math>||\Join||<math>\blacksquare</math>||\blacksquare<br />
|-<br />
|<math>\S</math>||\S||<math>\P</math>||\P||<math>\copyright</math>||\copyright<br />
|-<br />
|<math>\pounds</math>||\pounds||<math>\overarc{ABC}</math>||\overarc{ABC}||<math>\underarc{XYZ}</math>||\underarc{XYZ}<br />
|-<br />
|<math>\bigstar</math>||\bigstar||<math>\in</math>||\in||<math>\cup</math>||\cup<br />
|-<br />
|<math>\square</math>||\square||<br />
|-<br />
|<math>\smiley</math>||\smiley||<br />
|-<br />
|<math>\mathbb{R}</math>||\mathbb{R} (represents all real numbers)||<br />
|-<br />
|<math>\checkmark</math>||\checkmark||<br />
|}<br />
<br />
==Command Symbols==<br />
Some symbols are used in commands so they need to be treated in a special way.<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\textdollar</math>||\textdollar or \$||<math>\&</math>||\&||<math>\%</math>||\%||<math>\#</math>||\#<br />
|-<br />
|<math>\_</math>||\_||<math>\{</math>||\{||<math>\}</math>||\}||<math>\backslash</math>||\backslash<br />
|}<br />
<br />
(Warning: Using <nowiki>$</nowiki> for <math>\textdollar</math> will result in <math>\$</math>. This is a bug as far as we know. Depending on the version of <math>\LaTeX</math> this is not always a problem.)<br />
<br />
==European Language Symbols==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>{\oe}</math>||{\oe}||<math>{\ae}</math>||{\ae}||<math>{\o}</math>||{\o}<br />
|-<br />
|<math>{\OE}</math>||{\OE}||<math>{\AE}</math>||{\AE}||<math>{\AA}</math>||{\AA}||<math>{\O}</math>||{\O}<br />
|-<br />
|<math>{\l}</math>||{\l}||<math>{\ss}</math>||{\ss}||<math>\text{!`}</math>||!`<br />
|-<br />
|<math>{\L}</math>||{\L}||<math>{\SS}</math>||{\SS}||<br />
|}<br />
<br />
==Bracketing Symbols==<br />
In mathematics, sometimes we need to enclose expressions in brackets or braces or parentheses. Some of these work just as you'd imagine in LaTeX; type ( and ) for parentheses, [ and ] for brackets, and | and | for absolute value. However, other symbols have special commands:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\{</math>||\{||<math>\}</math>||\}||<math>\|</math>||<nowiki>\|</nowiki><br />
|-<br />
| <math>\backslash</math>||\backslash||<math>\lfloor</math>||\lfloor||<math>\rfloor</math>||\rfloor<br />
|-<br />
| <math>\lceil</math>||\lceil||<math>\rceil</math>||\rceil||<math>\langle</math>||\langle<br />
|-<br />
| <math>\rangle</math>||\rangle<br />
|}<br />
You might notice that if you use any of these to typeset an expression that is vertically large, like<br />
<br />
:<tt>(\frac{a}{x} )^2</tt><br />
<br />
the parentheses don't come out the right size:<br />
<br />
:<math>(\frac{a}{x})^2</math><br />
<br />
If we put \left and \right before the relevant parentheses, we get a prettier expression:<br />
<br />
:<tt>\left(\frac{a}{x} \right)^2</tt><br />
<br />
gives<br />
<br />
:<math>\left(\frac{a}{x} \right)^2</math><br />
<br />
\left and \right can also be used to resize the following symbols:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\uparrow</math>||\uparrow||<math>\downarrow</math>||\downarrow||<math>\updownarrow</math>||\updownarrow<br />
|-<br />
| <math>\Uparrow</math>||\Uparrow||<math>\Downarrow</math>||\Downarrow||<math>\Updownarrow</math>||\Updownarrow<br />
|}<br />
<br />
==Multi-Size Symbols==<br />
Some symbols render differently in inline math mode and in display mode. Display mode occurs when you use <nowiki>\[...\]</nowiki> or <nowiki>$$...$$</nowiki>, or environments like \begin{equation}...\end{equation}, \begin{align}...\end{align}. Read more in the [[LaTeX:Commands|commands]] section of the guide about how symbols which take arguments above and below the symbols, such as a summation symbol, behave in the two modes.<br />
<br />
In each of the following, the two images show the symbol in display mode, then in inline mode.<br />
<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\sum \textstyle\sum</math>||\sum||<math>\int \textstyle\int</math>||\int||<math>\oint \textstyle\oint</math>||\oint<br />
|-<br />
|<math>\prod \textstyle\prod</math>||\prod||<math>\coprod \textstyle\coprod</math>||\coprod||<math>\bigcap \textstyle\bigcap</math>||\bigcap<br />
|-<br />
|<math>\bigcup \textstyle\bigcup</math>||\bigcup||<math>\bigsqcup \textstyle\bigsqcup</math>||\bigsqcup||<math>\bigvee \textstyle\bigvee</math>||\bigvee<br />
|-<br />
|<math>\bigwedge \textstyle\bigwedge</math>||\bigwedge||<math>\bigodot \textstyle\bigodot</math>||\bigodot||<math>\bigotimes \textstyle\bigotimes</math>||\bigotimes<br />
|-<br />
|<math>\bigoplus \textstyle\bigoplus</math>||\bigoplus||<math>\biguplus \textstyle\biguplus</math>||\biguplus<br />
|}<br />
<br />
==See Also==<br />
*[[LaTeX:Commands | Next: Commands]]<br />
*[[LaTeX:Layout | Previous: Layout]]</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=LaTeX:Symbols&diff=85718LaTeX:Symbols2017-05-20T01:31:43Z<p>Moab33: Undo revision 85714 by Amazinghusky (talk)</p>
<hr />
<div>{{Latex}}<br />
<br />
This article will provide a short list of commonly used LaTeX symbols. <br />
<br />
== Common Symbols ==<br />
<br />
=== Operators ===<br />
<br />
=== Relations ===<br />
<br />
== Finding Other Symbols ==<br />
<br />
Here are some external resources for finding less commonly used symbols:<br />
<ul><br />
<li><br />
[http://detexify.kirelabs.org/classify.html Detexify] is an app which allows you to draw the symbol you'd like and shows you the <math>\LaTeX</math> code for it!<br />
<br/><br/></li><br />
<br />
<li><br />
MathJax (what allows us to use <math>\LaTeX</math> on the web) maintains a [http://docs.mathjax.org/en/latest/tex.html#supported-latex-commands list of supported commands].<br />
<br/><br/></li><br />
<br />
<li><br />
[http://mirrors.ctan.org/info/symbols/comprehensive/symbols-a4.pdf The Comprehensive LaTeX Symbol List].<br />
<br/><br/></li><br />
</ul><br />
<br />
-------------------------------------------------------------------------------------------------------------<br />
<br />
==Operators==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\pm</math>||\pm||<math>\mp</math>||\mp||<math>\times</math>||\times<br />
|-<br />
|<math>\div</math>||\div||<math>\cdot</math>||\cdot||<math>\ast</math>||\ast<br />
|-<br />
|<math>\star</math>||\star||<math>\dagger</math>||\dagger||<math>\ddagger</math>||\ddagger<br />
|-<br />
|<math>\amalg</math>||\amalg||<math>\cap</math>||\cap||<math>\cup</math>||\cup<br />
|-<br />
|<math>\uplus</math>||\uplus||<math>\sqcap</math>||\sqcap||<math>\sqcup</math>||\sqcup<br />
|-<br />
|<math>\vee</math>||\vee||<math>\wedge</math>||\wedge||<math>\oplus</math>||\oplus<br />
|-<br />
|<math>\ominus</math>||\ominus||<math>\otimes</math>||\otimes||<math>\circ</math>||\circ<br />
|-<br />
|<math>\bullet</math>||\bullet||<math>\diamond</math>||\diamond||<math>\lhd</math>||\lhd<br />
|-<br />
|<math>\rhd</math>||\rhd||<math>\unlhd</math>||\unlhd||[[Image:Unrhd.gif]]||\unrhd<br />
|-<br />
|<math>\oslash</math>||\oslash||<math>\odot</math>||\odot||<math>\bigcirc</math>||\bigcirc<br />
|-<br />
|<math>\triangleleft</math>||\triangleleft||<math>\Diamond</math>||\Diamond||<math>\bigtriangleup</math>||\bigtriangleup<br />
|-<br />
|<math>\bigtriangledown</math>||\bigtriangledown||<math>\Box</math>||\Box||<math>\triangleright</math>||\triangleright<br />
|-<br />
|<math>\setminus</math>||\setminus||<math>\wr</math>||\wr||<math>\sqrt{x}</math>||\sqrt{x}<br />
|-<br />
|<math>x^{\circ}</math>||x^{\circ}||<math>\triangledown</math>||\triangledown||<math>\sqrt[n]{x}</math>||\sqrt[n]{x}<br />
|-<br />
|<math>a^x</math>||a^x||<math>a^{xyz}</math>||a^{xyz}<br />
|}<br />
<br />
==Relations==<br />
{| class="latextable"<br />
!Symbol !! Command !!Symbol !! Command!!Symbol !! Command<br />
|-<br />
| <math>\le</math>||\le||<math>\ge</math>||\ge||<math>\neq</math>||\neq<br />
|-<br />
| <math>\sim</math>||\sim||<math>\ll</math>||\ll||<math>\gg</math>||\gg<br />
|-<br />
| <math>\doteq</math>||\doteq||<math>\simeq</math>||\simeq||<math>\subset</math>||\subset<br />
|-<br />
| <math>\supset</math>||\supset||<math>\approx</math>||\approx||<math>\asymp</math>||\asymp<br />
|-<br />
| <math>\subseteq</math>||\subseteq||<math>\supseteq</math>||\supseteq||<math>\cong</math>||\cong<br />
|-<br />
| <math>\smile</math>||\smile||<math>\sqsubset</math>||\sqsubset||<math>\sqsupset</math>||\sqsupset<br />
|-<br />
| <math>\equiv</math>||\equiv||<math>\frown</math>||\frown||<math>\sqsubseteq</math>||\sqsubseteq<br />
|-<br />
| <math>\sqsupseteq</math>||\sqsupseteq||<math>\propto</math>||\propto||<math>\bowtie</math>||\bowtie<br />
|-<br />
| <math>\in</math>||\in||<math>\ni</math>||\ni||<math>\prec</math>||\prec<br />
|-<br />
| <math>\succ</math>||\succ||<math>\vdash</math>||\vdash||<math>\dashv</math>||\dashv<br />
|-<br />
| <math>\preceq</math>||\preceq||<math>\succeq</math>||\succeq||<math>\models</math>||\models<br />
|-<br />
| <math>\perp</math>||\perp||<math>\parallel</math>||\parallel||<br />
|-<br />
| <math>\mid</math>||\mid||<math>\bumpeq</math>||\bumpeq||<br />
|}<br />
Negations of many of these relations can be formed by just putting \not before the symbol, or by slipping an n between the \ and the word. Here are a few examples, plus a few other negations; it works for many of the others as well.<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\nmid</math>||\nmid||<math>\nleq</math>||\nleq||<math>\ngeq</math>||\ngeq<br />
|-<br />
| <math>\nsim</math>||\nsim||<math>\ncong</math>||\ncong||<math>\nparallel</math>||\nparallel<br />
|-<br />
| <math>\not<</math>||\not<||<math>\not></math>||\not>||<math>\not=</math>||\not=<br />
|-<br />
| <math>\not\le</math>||\not\le||<math>\not\ge</math>||\not\ge||<math>\not\sim</math>||\not\sim<br />
|-<br />
|<math>\not \approx</math>||\not\approx||<math>\not\cong</math>||\not\cong||<math>\not\equiv</math>||\not\equiv<br />
|-<br />
| <math>\not\parallel</math>||\not\parallel||<math>\nless</math>||\nless||<math>\ngtr</math>||\ngtr<br />
|-<br />
| <math>\lneq</math>||\lneq||<math>\gneq</math>||\gneq||<math>\lnsim</math>||\lnsim<br />
|-<br />
| <math>\lneqq</math>||\lneqq||<math>\gneqq</math>||\gneqq<br />
|}<br />
<br />
To use other relations not listed here, such as =, >, and <, in LaTeX, you may just use the symbols on your keyboard.<br />
<br />
==Greek Letters==<br />
{| class="latextable"<br />
|+ Lowercase Letters<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\alpha</math>||\alpha||<math>\beta</math>||\beta||<math>\gamma</math>||\gamma||<math>\delta</math>||\delta<br />
|-<br />
| <math>\epsilon</math>||\epsilon||<math>\varepsilon</math>||\varepsilon||<math>\zeta</math>||\zeta||<math>\eta</math>||\eta<br />
|-<br />
| <math>\theta</math>||\theta||<math>\vartheta</math>||\vartheta||<math>\iota</math>||\iota||<math>\kappa</math>||\kappa<br />
|-<br />
| <math>\lambda</math>||\lambda||<math>\mu</math>||\mu||<math>\nu</math>||\nu||<math>\xi</math>||\xi<br />
|-<br />
|<math>\pi</math>||\pi||<math>\varpi</math>||\varpi||<math>\rho</math>||\rho||<math>\varrho</math>||\varrho<br />
|-<br />
| <math>\sigma</math>||\sigma||<math>\varsigma</math>||\varsigma||<math>\tau</math>||\tau||<math>\upsilon</math>||\upsilon<br />
|-<br />
| <math>\phi</math>||\phi||<math>\varphi</math>||\varphi||<math>\chi</math>||\chi||<math>\psi</math>||\psi<br />
|-<br />
| <math>\omega</math>||\omega<br />
|}<br />
<br />
<br />
{| class="latextable"<br />
|+ Capital Letters<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\Gamma</math>||\Gamma||<math>\Delta</math>||\Delta||<math>\Theta</math>||\Theta||<math>\Lambda</math>||\Lambda<br />
|-<br />
| <math>\Xi</math>||\Xi||<math>\Pi</math>||\Pi||<math>\Sigma</math>||\Sigma||<math>\Upsilon</math>||\Upsilon<br />
|-<br />
| <math>\Phi</math>||\Phi||<math>\Psi</math>||\Psi||<math>\Omega</math>||\Omega<br />
|}<br />
<br />
<br />
== Headline text ==<br />
Arrows<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\gets</math>||\gets||<math>\to</math>||\to<br />
|-<br />
|<math>\leftarrow</math>||\leftarrow||<math>\Leftarrow</math>||\Leftarrow<br />
|-<br />
|<math>\rightarrow</math>||\rightarrow||<math>\Rightarrow</math>||\Rightarrow<br />
|-<br />
|<math>\leftrightarrow</math>||\leftrightarrow||<math>\Leftrightarrow</math>||\Leftrightarrow<br />
|-<br />
|<math>\mapsto</math>||\mapsto||<math>\hookleftarrow</math>||\hookleftarrow<br />
|-<br />
|<math>\leftharpoonup</math>||\leftharpoonup||<math>\leftharpoondown</math>||\leftharpoondown<br />
|-<br />
|<math>\rightleftharpoons</math>||\rightleftharpoons||<math>\longleftarrow</math>||\longleftarrow<br />
|-<br />
|<math>\Longleftarrow</math>||\Longleftarrow||<math>\longrightarrow</math>||\longrightarrow<br />
|-<br />
|<math>\Longrightarrow</math>||\Longrightarrow||<math>\longleftrightarrow</math>||\longleftrightarrow<br />
|-<br />
|<math>\Longleftrightarrow</math>||\Longleftrightarrow||<math>\longmapsto</math>||\longmapsto<br />
|-<br />
|<math>\hookrightarrow</math>||\hookrightarrow||<math>\rightharpoonup</math>||\rightharpoonup<br />
|-<br />
|<math>\rightharpoondown</math>||\rightharpoondown||<math>\leadsto</math>||\leadsto<br />
|-<br />
|<math>\uparrow</math>||\uparrow||<math>\Uparrow</math>||\Uparrow<br />
|-<br />
|<math>\downarrow</math>||\downarrow||<math>\Downarrow</math>||\Downarrow<br />
|-<br />
|<math>\updownarrow</math>||\updownarrow||<math>\Updownarrow</math>||\Updownarrow<br />
|-<br />
|<math>\nearrow</math>||\nearrow||<math>\searrow</math>||\searrow<br />
|-<br />
|<math>\swarrow</math>||\swarrow||<math>\nwarrow</math>||\nwarrow<br />
|}<br />
(For those of you who hate typing long strings of letters, \iff and \implies can be used in place of \Longleftrightarrow and \Longrightarrow respectively.)<br />
<br />
==Dots==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|- <br />
|<math>\cdot</math>||\cdot|| |<math>\vdots</math>||\vdots|| <br />
|- <br />
|<math>\dots</math>||\dots|| |<math>\ddots</math>||\ddots||<br />
|-<br />
|<math>\cdots</math>||\cdots|| |<math>\iddots</math>||\iddots||<br />
<br />
|}<br />
<br />
==Accents==<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\hat{x}</math>||\hat{x}||<math>\check{x}</math>||\check{x}||<math>\dot{x}</math>||\dot{x}<br />
|-<br />
|<math>\breve{x}</math>||\breve{x}||<math>\acute{x}</math>||\acute{x}||<math>\ddot{x}</math>||\ddot{x}<br />
|-<br />
|<math>\grave{x}</math>||\grave{x}||<math>\tilde{x}</math>||\tilde{x}||<math>\mathring{x}</math>||\mathring{x}<br />
|-<br />
|<math>\bar{x}</math>||\bar{x}||<math>\vec{x}</math>||\vec{x}<br />
|}<br />
When applying accents to i and j, you can use \imath and \jmath to keep the dots from interfering with the accents:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\vec{\jmath}</math>||\vec{\jmath}||<math>\tilde{\imath}</math>||\tilde{\imath}<br />
|}<br />
\tilde and \hat have wide versions that allow you to accent an expression:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\widehat{7+x}</math>||\widehat{7+x}||<math>\widetilde{abc}</math>||\widetilde{abc}<br />
|}<br />
<br />
==Others==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command <br />
|-<br />
|<math>\infty</math>||\infty||<math>\triangle</math>||\triangle||<math>\angle</math>||\angle<br />
|-<br />
|<math>\aleph</math>||\aleph||<math>\hbar</math>||\hbar||<math>\imath</math>||\imath<br />
|-<br />
|<math>\jmath</math>||\jmath||<math>\ell</math>||\ell||<math>\wp</math>||\wp<br />
|-<br />
|<math>\Re</math>||\Re||<math>\Im</math>||\Im||<math>\mho</math>||\mho<br />
|-<br />
|<math>\prime</math>||\prime||<math>\emptyset</math>||\emptyset||<math>\nabla</math>||\nabla<br />
|-<br />
|<math>\surd</math>||\surd||<math>\partial</math>||\partial||<math>\top</math>||\top<br />
|-<br />
|<math>\bot</math>||\bot||<math>\vdash</math>||\vdash||<math>\dashv</math>||\dashv<br />
|-<br />
|<math>\forall</math>||\forall||<math>\exists</math>||\exists||<math>\neg</math>||\neg<br />
|-<br />
|<math>\flat</math>||\flat||<math>\natural</math>||\natural||<math>\sharp</math>||\sharp<br />
|-<br />
|<math>\backslash</math>||\backslash||<math>\Box</math>||\Box||<math>\Diamond</math>||\Diamond<br />
|-<br />
|<math>\clubsuit</math>||\clubsuit||<math>\diamondsuit</math>||\diamondsuit||<math>\heartsuit</math>||\heartsuit<br />
|-<br />
|[[Image:Spadesuit.gif]]||\spadesuit||<math>\Join</math>||\Join||<math>\blacksquare</math>||\blacksquare<br />
|-<br />
|<math>\S</math>||\S||<math>\P</math>||\P||<math>\copyright</math>||\copyright<br />
|-<br />
|<math>\pounds</math>||\pounds||<math>\overarc{ABC}</math>||\overarc{ABC}||<math>\underarc{XYZ}</math>||\underarc{XYZ}<br />
|-<br />
|<math>\bigstar</math>||\bigstar||<math>\in</math>||\in||<math>\cup</math>||\cup<br />
|-<br />
|<math>\square</math>||\square||<br />
|-<br />
|<math>\smiley</math>||\smiley||<br />
|-<br />
|<math>\mathbb{R}</math>||\mathbb{R} (represents all real numbers)||<br />
|-<br />
|<math>\checkmark</math>||\checkmark||<br />
|}<br />
<br />
==Command Symbols==<br />
Some symbols are used in commands so they need to be treated in a special way.<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\textdollar</math>||\textdollar or \$||<math>\&</math>||\&||<math>\%</math>||\%||<math>\#</math>||\#<br />
|-<br />
|<math>\_</math>||\_||<math>\{</math>||\{||<math>\}</math>||\}||<math>\backslash</math>||\backslash<br />
|}<br />
<br />
(Warning: Using <nowiki>$</nowiki> for <math>\textdollar</math> will result in <math>\$</math>. This is a bug as far as we know. Depending on the version of <math>\LaTeX</math> this is not always a problem.)<br />
<br />
==European Language Symbols==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>{\oe}</math>||{\oe}||<math>{\ae}</math>||{\ae}||<math>{\o}</math>||{\o}<br />
|-<br />
|<math>{\OE}</math>||{\OE}||<math>{\AE}</math>||{\AE}||<math>{\AA}</math>||{\AA}||<math>{\O}</math>||{\O}<br />
|-<br />
|<math>{\l}</math>||{\l}||<math>{\ss}</math>||{\ss}||<math>\text{!`}</math>||!`<br />
|-<br />
|<math>{\L}</math>||{\L}||<math>{\SS}</math>||{\SS}||<br />
|}<br />
<br />
==Bracketing Symbols==<br />
In mathematics, sometimes we need to enclose expressions in brackets or braces or parentheses. Some of these work just as you'd imagine in LaTeX; type ( and ) for parentheses, [ and ] for brackets, and | and | for absolute value. However, other symbols have special commands:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\{</math>||\{||<math>\}</math>||\}||<math>\|</math>||<nowiki>\|</nowiki><br />
|-<br />
| <math>\backslash</math>||\backslash||<math>\lfloor</math>||\lfloor||<math>\rfloor</math>||\rfloor<br />
|-<br />
| <math>\lceil</math>||\lceil||<math>\rceil</math>||\rceil||<math>\langle</math>||\langle<br />
|-<br />
| <math>\rangle</math>||\rangle<br />
|}<br />
You might notice that if you use any of these to typeset an expression that is vertically large, like<br />
<br />
:<tt>(\frac{a}{x} )^2</tt><br />
<br />
the parentheses don't come out the right size:<br />
<br />
:<math>(\frac{a}{x})^2</math><br />
<br />
If we put \left and \right before the relevant parentheses, we get a prettier expression:<br />
<br />
:<tt>\left(\frac{a}{x} \right)^2</tt><br />
<br />
gives<br />
<br />
:<math>\left(\frac{a}{x} \right)^2</math><br />
<br />
\left and \right can also be used to resize the following symbols:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\uparrow</math>||\uparrow||<math>\downarrow</math>||\downarrow||<math>\updownarrow</math>||\updownarrow<br />
|-<br />
| <math>\Uparrow</math>||\Uparrow||<math>\Downarrow</math>||\Downarrow||<math>\Updownarrow</math>||\Updownarrow<br />
|}<br />
<br />
==Multi-Size Symbols==<br />
Some symbols render differently in inline math mode and in display mode. Display mode occurs when you use <nowiki>\[...\]</nowiki> or <nowiki>$$...$$</nowiki>, or environments like \begin{equation}...\end{equation}, \begin{align}...\end{align}. Read more in the [[LaTeX:Commands|commands]] section of the guide about how symbols which take arguments above and below the symbols, such as a summation symbol, behave in the two modes.<br />
<br />
In each of the following, the two images show the symbol in display mode, then in inline mode.<br />
<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\sum \textstyle\sum</math>||\sum||<math>\int \textstyle\int</math>||\int||<math>\oint \textstyle\oint</math>||\oint<br />
|-<br />
|<math>\prod \textstyle\prod</math>||\prod||<math>\coprod \textstyle\coprod</math>||\coprod||<math>\bigcap \textstyle\bigcap</math>||\bigcap<br />
|-<br />
|<math>\bigcup \textstyle\bigcup</math>||\bigcup||<math>\bigsqcup \textstyle\bigsqcup</math>||\bigsqcup||<math>\bigvee \textstyle\bigvee</math>||\bigvee<br />
|-<br />
|<math>\bigwedge \textstyle\bigwedge</math>||\bigwedge||<math>\bigodot \textstyle\bigodot</math>||\bigodot||<math>\bigotimes \textstyle\bigotimes</math>||\bigotimes<br />
|-<br />
|<math>\bigoplus \textstyle\bigoplus</math>||\bigoplus||<math>\biguplus \textstyle\biguplus</math>||\biguplus<br />
|}<br />
<br />
==See Also==<br />
*[[LaTeX:Commands | Next: Commands]]<br />
*[[LaTeX:Layout | Previous: Layout]]</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=85608Gmaas2017-05-09T17:19:35Z<p>Moab33: </p>
<hr />
<div>=== Known Facts About gmaas === <br />
-Gmaas once slept on sseraj's private water bed, so sseraj locked him in the bathroom<br />
<br />
-Gmaas has superpowers that allow him to overcome the horrors of Mr. Toilet (while he was locked in the bathroom)<br />
<br />
- Gmaas once sat on an orange on a pile of AoPS books, causing an orange flavored equation explosion.<br />
<br />
-Gmaas once conquered the moon and imprinted his face on it until asteroids came.<br />
<br />
-Gmaas is a supreme overlord who must be given a gallon of milk and 4 cans of tuna.<br />
<br />
- gmaas is the Doctor Who lord; he sports Dalek-painted cars and eats human finger cheese and custard, plus black holes.<br />
<br />
- themoocow is gmaas's cousin.<br />
<br />
- Gmaas is <math>\bold{not}</math> Colonel Meow.<br />
<br />
- Gmaas is 5space's favorite animal. [http://artofproblemsolving.com/wiki/index.php?title=File:Gmaas2.png (Source)]<br />
<br />
- He lives with sseraj. <br />
<br />
- He is often overfed (with probability <math>\frac{3972}{7891}</math>), or malnourished (with probability <math>\frac{3919}{7891}</math>) by sseraj.<br />
<br />
- He has <cmath>\sum_{k=1}^{267795} [k(k+1)]+GMAAS</cmath> supercars, excluding the Purrari and the 138838383 Teslas.<br />
<br />
- He is an employee of AoPS.<br />
<br />
- He is a gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
- Actually, he is a cat. He said so. And science also says so.<br />
- He is distant relative of Mathcat1234<br />
<br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
- His favorite food is AoPS textbooks, because they help him digest problems.<br />
<br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
- Gmaas sightings are not very common. There have only been 8 confirmed sightings of Gmaas in the wild.<br />
<br />
- Gmaas is a sage omniscient cat.<br />
<br />
- He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
- Places where gmaas sightings have happened: <br />
~The Royal Scoop ice cream store in Bonita Beach Florida<br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
~Alligator Swamp A 1072 <br />
~Alligator Swamp B 1073<br />
~Introduction to Algebra A (1170)<br />
~Welcome to Panda Town Gate 1076<br />
~Welcome to Gmaas Town Gate 1221<br />
~Welcome to Gmaas Town Gate 1125<br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
~The other side of the ice in Antarctica<br />
~Feisty Alligator Swamp 1115<br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
~Introduction to Counting and Probability 1142 <br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Counting and Probability 1207<br />
~Posting student surveys<br />
~USF Castle Walls 1203<br />
~Dark Lord's Hut 1210<br />
~AMC 10 Problem Series 1200<br />
~Intermediate Number Theory 1138<br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
~Algebra B 1112<br />
~33°81'199.4"N 167°05'45.1"W (Unknown location, please try again later)<br />
~Ocelot Rainforest 1111<br />
~Intermediate Counting and Probability 1137 <br />
~Intermediate Number Theory 1138 (AGAIN)<br />
~AMC 10 Problem Series 1200 (AGAIN)<br />
~Cat Gathering #339 1222<br />
~Cat Gathering #312 1535<br />
~Introduction to Geometry (1190)<br />
~Hogwarts Introduction to Transfiguration (...16168)<br />
~Cat Meow Meow Purr 1110<br />
~Bilbo's Hobbit Hole 1234<br />
~http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx<br />
~Pre-Algebra 1 with sseraj 1164. (Year: 2015) (gmaas code: 6666)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Number Theory 1229 (AGAIN)<br />
~Calculus 1226<br />
~Gallifrey Meeting #123456, 1888.<br />
~On his account of course.<br />
~On FEFF once<br />
~On Mt. Everest at 13:37 in the year 1337 on 1/3 37<br />
~Everywhere in outer space<br />
~Dalekanium Scrapland #5 1729<br />
<br />
<br />
- These have all been designated as the most glorious sections of Aopsland now (Especially the USF castle walls), but deforestation is so far from threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
- Gmaas has randomly been known to have sent his minions into Prealgebra 2 1163. However, the danger is passed, that class is over.<br />
<br />
- Gmaas once snuck into sseraj's email so he could give pianoman24 an extension in Introduction to Number Theory 1204. This was 1204 minutes after his sighting on 7/27/16.<br />
<br />
- Gmaas also has randomly appeared on top of the USF's Tribal Bases(he seems to prefer the Void Tribe). However, the next day there is normally a puddle in the shape of a cat's underbelly wherever he was sighted. Nobody knows what this does. <br />
<br />
EDIT: Nobody has yet seen him atop a tribal base yet.<br />
<br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
EDIT: The above disguises are rare for a Gmaas, except the cat.<br />
<br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
EDIT: He IS an AoPS site admin.<br />
<br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
- Is this the real life? Is this just fantasy? No. This is gmaas, the legend.<br />
<br />
- Gmaas might have been viewing (with a <math>\frac{99999}{100000}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday. If you do a sci-fi version of USF, then prepare to meet your Overpowered soldier with amazing weapons one day.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Vu.<br />
<br />
- Gmaas is on the list of "Elusive Creatures." If you have questions, or want the full list, contact moab33.<br />
<br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
--This above fact is incorrect. math101010 has done this and commented with screenshot proof at the below link, and Gmaas was not summoned.<br />
https://artofproblemsolving.com/community/c287916h1291232<br />
<br />
- Gmaas's left eye contains the singularity of a black hole. (Only when everyone in the world blinks at the same time within a nano-nano second.)<br />
<br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure, as Kendra sprinkled holly into his fur.<br />
<br />
- The original owner of Gmaas is gmaas.<br />
<br />
- Gmaas was not the fourth Peverell brother, but he ascended into higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.)<br />
<br />
- It is suspected that Gmaas may be ordering his cyberhairballs to take the forums, along with microbots.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mu.<br />
<br />
- Gmaas rarely frequents the headquarters of the Illuminati. He is their symbol. Or he was, for one yoctosecond.<br />
<br />
- It has been wondered if gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
- It has been confirmed that gmaas uses gmaal as his email service<br />
<br />
- Gmaas enjoys wearing gmean shorts<br />
<br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. <br />
<br />
- Gmaas is well known behind his stage name, Michal Stevens (also known as Vsaace XD), or his page name, Purrshanks.<br />
<br />
- Gmaas rekt sseraj at 12:54 june 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
- Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
- Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seem the Dark Lord's hut knows that both gmaas and the DL (USF code name of the Dark Lord) love BBC. How gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
- The TV has been noticed to be invincible. Many USF weapons, even volcano rings, have tried (and failed) to destroy it. The last time it was seen was on a Kobold display case outside of a mine. The display case was crushed, and a report showed a spy running off with a non-crushed TV.<br />
<br />
- Gmaas is a Super Duper Uper Cat Time Lord. He has <math>57843504</math> regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2\cdot267794=57843504</cmath>. <br />
<br />
-Gmaas highly enjoys destroying squeaky toys until he finds the squeaky part, then destroys the squeaky part<br />
<br />
- Gmaas loves to eat turnips. At <math>\frac{13}{32}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
- Gmaas has three tails, one for everyday life, one for special occasions, and one that's invisible.<br />
<br />
-Gmaas is a dangerous creature. If you ever meet him, immediately join his army or you will be killed.<br />
<br />
-Gmaas is in alliance in the Cult of Skaro. How did he get an alliance with ruthless creatures that want to kill everything on sight? Nobody knows. (Except him.)<br />
<br />
-Gmaas lives on Gallifrey.<br />
<br />
-The native location of Gmaas is the twilight zone.<br />
<br />
-Donald Trump once sang "All Hail the Chief" to Gmaas, 3 days after being sworn in as US President.<br />
<br />
- Gmaas like to talk with rrusczyk from time to time.<br />
<br />
- gmaas can shoot fire from his paws.<br />
<br />
=== gmaas in Popular Culture ===<br />
<br />
- Currently, [https://docs.google.com/document/d/1mLa2d_9Qgv4C9cZdThyjA6kSf2ULgwvkVjPVqmsoV2w/edit a book] is being written (by JpusheenS) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".<br />
<br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
- Sullymath is also writing a book about Gmaas<br />
<br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles<br />
<br />
- gmaas was an un-credited actor in the Doctor Who story Knock Knock, playing a Dryad. How he shrunk, we will never know.</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=85160Gmaas2017-04-04T16:40:46Z<p>Moab33: Gmass is not Gmaas.</p>
<hr />
<div>=== Known Facts About gmaas === <br />
-Gmaas once slept on sseraj's private water bed, so sseraj locked him in the bathroom<br />
<br />
-Gmaas has superpowers that allow him to overcome the horrors of Mr. Toilet (while he was locked in the bathroom)<br />
<br />
- Gmaas once sat on an orange on a pile of AoPS books, causing an orange flavored equation explosion.<br />
<br />
-Gmaas once conquered the moon and imprinted his face on it until asteroids came.<br />
<br />
-Gmaas is a supreme overlord who must be given a gallon of milk and 4 cans of tuna.<br />
<br />
- gmaas is the Doctor Who lord; he sports Dalek-painted cars and eats human finger cheese and custard, plus black holes.<br />
<br />
- themoocow is gmaas's cousin.<br />
<br />
- Gmaas is <math>\bold{not}</math> Colonel Meow.<br />
<br />
- Gmaas is 5space's favorite animal. [http://artofproblemsolving.com/wiki/index.php?title=File:Gmaas2.png (Source)]<br />
<br />
- He lives with sseraj. <br />
<br />
- He is often overfed (with probability <math>\frac{3972}{7891}</math>), or malnourished (with probability <math>\frac{3919}{7891}</math>) by sseraj.<br />
<br />
- He has <cmath>\sum_{k=0}^{267794} (k+1)(k+2)+GMAAS</cmath> supercars, excluding the Purrari and the 138838383 Teslas.<br />
<br />
- He is an employee of AoPS.<br />
<br />
- He is a gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
- Actually, he is a cat. He said so. And science also says so.<br />
- He is distant relative of Mathcat1234<br />
<br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
- His favorite food is AoPS textbooks, because they help him digest problems.<br />
<br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
- Gmaas sightings are not very common. There have only been 8 confirmed sightings of Gmaas in the wild.<br />
<br />
- Gmaas is a sage omniscient cat.<br />
<br />
- He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
- Places where gmaas sightings have happened: <br />
~The Royal Scoop ice cream store in Bonita Beach Florida<br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
~Alligator Swamp A 1072 <br />
~Alligator Swamp B 1073<br />
~Introduction to Algebra A (1170)<br />
~Welcome to Panda Town Gate 1076<br />
~Welcome to Gmaas Town Gate 1221<br />
~Welcome to Gmaas Town Gate 1125<br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
~The other side of the ice in Antarctica<br />
~Feisty Alligator Swamp 1115<br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
~Introduction to Counting and Probability 1142 <br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Counting and Probability 1207<br />
~Posting student surveys<br />
~USF Castle Walls 1203<br />
~Dark Lord's Hut 1210<br />
~AMC 10 Problem Series 1200<br />
~Intermediate Number Theory 1138<br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
~Algebra B 1112<br />
~33°81'199.4"N 167°05'45.1"W (Unknown location, please try again later)<br />
~Ocelot Rainforest 1111<br />
~Intermediate Counting and Probability 1137 <br />
~Intermediate Number Theory 1138 (AGAIN)<br />
~AMC 10 Problem Series 1200 (AGAIN)<br />
~Cat Gathering #339 1222<br />
~Cat Gathering #312 1535<br />
~Introduction to Geometry (1190)<br />
~Hogwarts Introduction to Transfiguration (...16168)<br />
~Cat Meow Meow Purr 1110<br />
~Bilbo's Hobbit Hole 1234<br />
~http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx<br />
~Pre-Algebra 1 with sseraj 1164. (Year: 2015) (gmaas code: 6666)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Number Theory 1229 (AGAIN)<br />
~Calculus 1226<br />
~Gallifrey Meeting #123456, 1888.<br />
~On his account of course.<br />
~On FEFF once<br />
~On Mt. Everest at 13:37 in the year 1337 on 1/3 37<br />
~Everywhere in outer space<br />
~Dalekanium Scrapland #5 1729<br />
<br />
<br />
- These have all been designated as the most glorious sections of Aopsland now (Especially the USF castle walls), but deforestation is so far from threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
- Gmaas has randomly been known to have sent his minions into Prealgebra 2 1163. However, the danger is passed, that class is over.<br />
<br />
- Gmaas also has randomly appeared on top of the USF's Tribal Bases(he seems to prefer the Void Tribe). However, the next day there is normally a puddle in the shape of a cat's underbelly wherever he was sighted. Nobody knows what this does. <br />
<br />
EDIT: Nobody has yet seen him atop a tribal base yet.<br />
<br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
EDIT: The above disguises are rare for a Gmaas, except the cat.<br />
<br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
EDIT: He IS an AoPS site admin.<br />
<br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
- Is this the real life? Is this just fantasy? No. This is gmaas, the legend.<br />
<br />
- Gmaas might have been viewing (with a <math>\frac{99.999}{100}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday. If you do a sci-fi version of USF, then prepare to meet your Overpowered soldier with amazing weapons one day.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Vu.<br />
<br />
- Gmaas is on the list of "Elusive Creatures." If you have questions, or want the full list, contact moab33.<br />
<br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
<br />
- Gmaas's left eye contains the singularity of a black hole. (Only when everyone in the world blinks at the same time within a nano-nano second.)<br />
<br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure, as Kendra sprinkled holly into his fur.<br />
<br />
- The original owner of Gmaas is gmaas.<br />
<br />
- Gmaas was not the fourth Peverell brother, but he ascended into higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.)<br />
<br />
- It is suspected that Gmaas may be ordering his cyberhairballs to take the forums, along with microbots.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mu.<br />
<br />
- Gmaas rarely frequents the headquarters of the Illuminati. He is their symbol. Or he was, for one yoctosecond.<br />
<br />
- It has been wondered if gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
- It has been confirmed that gmaas uses gmaal as his email service<br />
<br />
- Gmaas enjoys wearing gmean shorts<br />
<br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. <br />
<br />
- Gmaas is well known behind his stage name, Michal Stevens (also known as Vsaace XD), or his page name, Purrshanks.<br />
<br />
- Gmaas rekt sseraj at 12:54 june 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
- Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
- Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seem the Dark Lord's hut knows that both gmaas and the DL (USF code name of the Dark Lord) love BBC. How gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
- The TV has been noticed to be invincible. Many USF weapons, even volcano rings, have tried (and failed) to destroy it. The last time it was seen was on a Kobold display case outside of a mine. The display case was crushed, and a report showed a spy running off with a non-crushed TV.<br />
<br />
- Gmaas is a Super Duper Uper Cat Time Lord. He has <math>57843504</math> regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2\cdot267794=57843504</cmath>. <br />
<br />
-Gmaas highly enjoys destroying squeaky toys until he finds the squeaky part, then destroys the squeaky part<br />
<br />
- Gmaas loves to eat turnips. At <math>\frac{13}{32}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
- Gmaas has three tails, one for everyday life, one for special occasions, and one that's invisible.<br />
<br />
-Gmaas is a dangerous creature. If you ever meet him, immediately join his army or you will be killed.<br />
<br />
-Gmaas is in alliance in the Cult of Skaro. How did he get an alliance with ruthless creatures that want to kill everything on sight? Nobody knows. (Except him.)<br />
<br />
-Gmaas lives on Gallifrey.<br />
<br />
-The native location of Gmaas is the twilight zone.<br />
<br />
-Donald Trump once sang "All Hail the Chief" to Gmaas, 3 days after being sworn in as US President.<br />
<br />
- Gmaas like to talk with rrusczyk from time to time.<br />
<br />
=== gmaas in Popular Culture ===<br />
<br />
- Currently, [https://docs.google.com/document/d/1mLa2d_9Qgv4C9cZdThyjA6kSf2ULgwvkVjPVqmsoV2w/edit a book] is being written (by JpusheenS) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".<br />
<br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
- Sullymath is also writing a book about Gmaas<br />
<br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=84684Gmaas2017-03-13T01:29:51Z<p>Moab33: </p>
<hr />
<div>=== Known Facts About gmaas === <br />
<br />
- gmaas is the Doctor Who lord; he sports Dalek-painted cars and eats human finger cheese and custard, plus black holes.<br />
<br />
- themoocow is gmaas's cousin.<br />
<br />
- Gmass is <math>\bold{not}</math> Colonel Meow.<br />
<br />
- Gmaas is 5space's favorite animal. [http://artofproblemsolving.com/wiki/index.php?title=File:Gmaas2.png (Source)]<br />
<br />
- He lives with sseraj. <br />
<br />
- He is often overfed (with probability <math>\frac{3972}{7891}</math>), or malnourished (with probability <math>\frac{3919}{7891}</math>) by sseraj.<br />
<br />
- He has <cmath>\sum_{k=0}^{267794} (k+1)(k+2)+GMAAS</cmath> supercars, excluding the Purrari and the 138838383 Teslas.<br />
<br />
- He is an employee of AoPS.<br />
<br />
- He is a gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
- Actually, he is a cat. He said so. And science also says so.<br />
- He is distant relative of Mathcat1234<br />
<br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
- His favorite food is AoPS textbooks, because they help him digest problems.<br />
<br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
- Gmaas sightings are not very common. There have only been 8 confirmed sightings of Gmaas in the wild.<br />
<br />
- Gmaas is a sage omniscient cat.<br />
<br />
- He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
- Places where gmaas sightings have happened: <br />
~The Royal Scoop ice cream store in Bonita Beach Florida<br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
~Alligator Swamp A 1072 <br />
~Alligator Swamp B 1073<br />
~Introduction to Algebra A (1170)<br />
~Welcome to Panda Town Gate 1076<br />
~Welcome to Gmaas Town Gate 1221<br />
~Welcome to Gmaas Town Gate 1125<br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
~The other side of the ice in Antarctica<br />
~Feisty Alligator Swamp 1115<br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
~Introduction to Counting and Probability 1142 <br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Counting and Probability 1207<br />
~Posting student surveys<br />
~USF Castle Walls 1203<br />
~Dark Lord's Hut 1210<br />
~AMC 10 Problem Series 1200<br />
~Intermediate Number Theory 1138<br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
~Algebra B 1112<br />
~33°81'199.4"N 167°05'45.1"W (Unknown location, please try again later)<br />
~Ocelot Rainforest 1111<br />
~Intermediate Counting and Probability 1137 <br />
~Intermediate Number Theory 1138 (AGAIN)<br />
~AMC 10 Problem Series 1200 (AGAIN)<br />
~Cat Gathering #339 1222<br />
~Cat Gathering #312 1535<br />
~Introduction to Geometry (1190)<br />
~Hogwarts Introduction to Transfiguration (...16168)<br />
~Cat Meow Meow Purr 1110<br />
~Bilbo's Hobbit Hole 1234<br />
~http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx<br />
~Pre-Algebra 1 with sseraj 1164. (Year: 2015) (gmaas code: 6666)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Number Theory 1229 (AGAIN)<br />
~Calculus 1226<br />
~Gallifrey Meeting #123456, 1888.<br />
~On his account of course.<br />
~On FEFF once<br />
~On Mt. Everest at 13:37 in the year 1337 on 1/3 37<br />
~Everywhere in outer space<br />
~Dalekanium Scrapland #5 1729<br />
<br />
<br />
- These have all been designated as the most glorious sections of Aopsland now (Especially the USF castle walls), but deforestation is so far from threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
- Gmaas has randomly been known to have sent his minions into Prealgebra 2 1163. However, the danger is passed, that class is over.<br />
<br />
- Gmaas also has randomly appeared on top of the USF's Tribal Bases(he seems to prefer the Void Tribe). However, the next day there is normally a puddle in the shape of a cat's underbelly wherever he was sighted. Nobody knows what this does. <br />
<br />
EDIT: Nobody has yet seen him atop a tribal base yet.<br />
<br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
EDIT: The above disguises are rare for a Gmaas, except the cat.<br />
<br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
EDIT: He IS an AoPS site admin.<br />
<br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
- Is this the real life? Is this just fantasy? No. This is gmaas, the legend.<br />
<br />
- Gmaas might have been viewing (with a <math>\frac{99.999}{100}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday. If you do a sci-fi version of USF, then prepare to meet your Overpowered soldier with amazing weapons one day.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Vu.<br />
<br />
- Gmaas is on the list of "Elusive Creatures." If you have questions, or want the full list, contact moab33.<br />
<br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
<br />
- Gmaas's left eye contains the singularity of a black hole. (Only when everyone in the world blinks at the same time within a nano-nano second.)<br />
<br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure, as Kendra sprinkled holly into his fur.<br />
<br />
- The original owner of Gmaas is gmaas.<br />
<br />
- Gmaas was not the fourth Peverell brother, but he ascended into higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.)<br />
<br />
- It is suspected that Gmaas may be ordering his cyberhairballs to take the forums, along with microbots.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mu.<br />
<br />
- Gmaas rarely frequents the headquarters of the Illuminati. He is their symbol. Or he was, for one yoctosecond.<br />
<br />
- It has been wondered if gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
- It has been confirmed that gmaas uses gmaal as his email service<br />
<br />
- Gmaas enjoys wearing gmean shorts<br />
<br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. <br />
<br />
- Gmaas is well known behind his stage name, Michal Stevens (also known as Vsaace XD), or his page name, Purrshanks.<br />
<br />
- Gmass rekt sseraj at 12:54 june 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
- Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
- Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seem the Dark Lord's hut knows that both gmaas and the DL (USF code name of the Dark Lord) love BBC. How gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
- The TV has been noticed to be invincible. Many USF weapons, even volcano rings, have tried (and failed) to destroy it. The last time it was seen was on a Kobold display case outside of a mine. The display case was crushed, and a report showed a spy running off with a non-crushed TV.<br />
<br />
- Gmaas is a Super Duper Uper Cat Time Lord. He has <math>57843504</math> regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2\cdot267794=57843504</cmath>. <br />
<br />
- Gmaas loves to eat turnips. At <math>\frac{13}{32}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
- Gmaas has three tails, one for everyday life, one for special occasions, and one that's invisible.<br />
<br />
-Gmaas is a dangerous creature. If you ever meet him, immediately join his army or you will be killed.<br />
<br />
-Gmaas is in alliance in the Cult of Skaro. How did he get an alliance with ruthless creatures that want to kill everything on sight? Nobody knows. (Except him.)<br />
<br />
-Gmaas lives on Gallifrey.<br />
<br />
-The native location of Gmaas is the twilight zone.<br />
<br />
=== gmaas in Popular Culture ===<br />
<br />
- Currently, [https://docs.google.com/document/d/1mLa2d_9Qgv4C9cZdThyjA6kSf2ULgwvkVjPVqmsoV2w/edit a book] is being written (by JpusheenS) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".<br />
<br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
- Sullymath is also writing a book about Gmaas<br />
<br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=84441Gmaas2017-03-08T19:08:25Z<p>Moab33: </p>
<hr />
<div>=== Known Facts About gmaas === <br />
<br />
- gmaas is the Doctor Who lord; he sports Dalek-painted cars and eats human finger cheese and custard, plus black holes.<br />
<br />
- themoocow is gmaas's cousin.<br />
<br />
- Gmass is <math>\bold{not}</math> Colonel Meow.<br />
<br />
- Gmaas is 5space's favorite animal. [http://artofproblemsolving.com/wiki/index.php?title=File:Gmaas2.png (Source)]<br />
<br />
- He lives with sseraj. <br />
<br />
- He is often overfed (with probability <math>\frac{3972}{7891}</math>), or malnourished (with probability <math>\frac{3919}{7891}</math>) by sseraj.<br />
<br />
- He has <cmath>\sum_{k=0}^{267794} (k+1)(k+2)+GMAAS</cmath> supercars, excluding the Purrari.<br />
<br />
- He is an employee of AoPS.<br />
<br />
- He is a gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
- Actually, he is a cat. He said so. And science also says so.<br />
- He is distant relative of Mathcat1234<br />
<br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
- His favorite food is AoPS textbooks, because they help him digest problems.<br />
<br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
- Gmaas sightings are not very common. There have only been 8 confirmed sightings of Gmaas in the wild.<br />
<br />
- Gmaas is a sage omniscient cat.<br />
<br />
- He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
- Places where gmaas sightings have happened: <br />
~The Royal Scoop ice cream store in Bonita Beach Florida<br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
~Alligator Swamp A 1072 <br />
~Alligator Swamp B 1073<br />
~Introduction to Algebra A (1170)<br />
~Welcome to Panda Town Gate 1076<br />
~Welcome to Gmaas Town Gate 1221<br />
~Welcome to Gmaas Town Gate 1125<br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
~The other side of the ice in Antarctica<br />
~Feisty Alligator Swamp 1115<br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
~Introduction to Counting and Probability 1142 <br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Counting and Probability 1207<br />
~Posting student surveys<br />
~USF Castle Walls 1203<br />
~Dark Lord's Hut 1210<br />
~AMC 10 Problem Series 1200<br />
~Intermediate Number Theory 1138<br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
~Algebra B 1112<br />
~33°81'199.4"N 167°05'45.1"W (Unknown location, please try again later)<br />
~Ocelot Rainforest 1111<br />
~Intermediate Counting and Probability 1137 <br />
~Intermediate Number Theory 1138 (AGAIN)<br />
~AMC 10 Problem Series 1200 (AGAIN)<br />
~Cat Gathering #339 1222<br />
~Cat Gathering #312 1535<br />
~Introduction to Geometry (1190)<br />
~Hogwarts Introduction to Transfiguration (...16168)<br />
~Cat Meow Meow Purr 1110<br />
~Bilbo's Hobbit Hole 1234<br />
~http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx<br />
~Pre-Algebra 1 with sseraj 1164. (Year: 2015) (gmaas code: 6666)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Number Theory 1229 (AGAIN)<br />
~Calculus 1226<br />
~Gallifrey Meeting #123456, 1888.<br />
~On his account of course.<br />
~On FEFF once<br />
~On Mt. Everest at 13:37 in the year 1337 on 1/3 37<br />
~Everywhere in outer space<br />
<br />
<br />
- These have all been designated as the most glorious sections of Aopsland now (Especially the USF castle walls), but deforestation is so far from threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
- Gmaas has randomly been known to have sent his minions into Prealgebra 2 1163. However, the danger is passed, that class is over.<br />
<br />
- Gmaas also has randomly appeared on top of the USF's Tribal Bases(he seems to prefer the Void Tribe). However, the next day there is normally a puddle in the shape of a cat's underbelly wherever he was sighted. Nobody knows what this does. <br />
<br />
EDIT: Nobody has yet seen him atop a tribal base yet.<br />
<br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
EDIT: The above disguises are rare for a Gmaas, except the cat.<br />
<br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
EDIT: He IS an AoPS site admin.<br />
<br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
- Is this the real life? Is this just fantasy? No. This is gmaas, the legend.<br />
<br />
- Gmaas might have been viewing (with a <math>\frac{99.999}{100}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday. If you do a sci-fi version of USF, then prepare to meet your Overpowered soldier with amazing weapons one day.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Vu.<br />
<br />
- Gmaas is on the list of "Elusive Creatures." If you have questions, or want the full list, contact moab33.<br />
<br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
<br />
- Gmaas's left eye contains the singularity of a black hole. (Only when everyone in the world blinks at the same time within a nano-nano second.)<br />
<br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure, as Kendra sprinkled holly into his fur.<br />
<br />
- The original owner of Gmaas is gmaas.<br />
<br />
- Gmaas was not the fourth Peverell brother, but he ascended into higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.)<br />
<br />
- It is suspected that Gmaas may be ordering his cyberhairballs to take the forums, along with microbots.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mu.<br />
<br />
- Gmaas rarely frequents the headquarters of the Illuminati. He is their symbol. Or he was, for one yoctosecond.<br />
<br />
- It has been wondered if gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
- It has been confirmed that gmaas uses gmaal as his email service<br />
<br />
- Gmaas enjoys wearing gmean shorts<br />
<br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. <br />
<br />
- Gmaas is well known behind his stage name, Michal Stevens (also known as Vsaace XD), or his page name, Purrshanks.<br />
<br />
- Gmass rekt sseraj at 12:54 june 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
- Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
- Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seem the Dark Lord's hut knows that both gmaas and the DL (USF code name of the Dark Lord) love BBC. How gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
- The TV has been noticed to be invincible. Many USF weapons, even volcano rings, have tried (and failed) to destroy it. The last time it was seen was on a Kobold display case outside of a mine. The display case was crushed, and a report showed a spy running off with a non-crushed TV.<br />
<br />
- Gmaas is a Super Duper Uper Cat Time Lord. He has <math>57843504</math> regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2\cdot267794=57843504</cmath>. <br />
<br />
- Gmaas loves to eat turnips. At <math>\frac{13}{32}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
- Gmaas has three tails, one for everyday life, one for special occasions, and one that's invisible.<br />
<br />
-Gmaas is a dangerous creature. If you ever meet him, immediately join his army or you will be killed.<br />
<br />
-Gmaas is in alliance in the Cult of Skaro. How did he get an alliance with ruthless creatures that want to kill everything on sight? Nobody knows. (Except him.)<br />
<br />
-Gmaas lives on Gallifrey.<br />
<br />
-The native location of Gmaas is the twilight zone.<br />
<br />
=== gmaas in Popular Culture ===<br />
<br />
- Currently, [https://docs.google.com/document/d/1mLa2d_9Qgv4C9cZdThyjA6kSf2ULgwvkVjPVqmsoV2w/edit a book] is being written (by JpusheenS) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".<br />
<br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
- Sullymath is also writing a book about Gmaas<br />
<br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=82734Gmaas2017-02-06T22:33:13Z<p>Moab33: /* Known Facts About gmaas */</p>
<hr />
<div>=== Known Facts About gmaas === <br />
<br />
- gmaas is the Doctor Who lord; he sports Dalek-painted cars and eats human finger cheese and custard.<br />
<br />
- themoocow is gmaas's cousin.<br />
<br />
- Gmass is <math>\bold{not}</math> Colonel Meow.<br />
<br />
- Gmaas is 5space's favorite animal. [http://artofproblemsolving.com/wiki/index.php?title=File:Gmaas2.png (Source)]<br />
<br />
- He lives with sseraj. <br />
<br />
- He is often overfed (with probability <math>\frac{3972}{7891}</math>), or malnourished (with probability <math>\frac{3919}{7891}</math>) by sseraj.<br />
<br />
- He has <cmath>\sum_{k=0}^1 (k+1)(k+2)+5</cmath> supercars, excluding the Purrari.<br />
<br />
- He is an employee of AoPS.<br />
<br />
- He is a gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
- Actually, he is a cat. He said so. And science also says so. <br />
<br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
- His favorite food is AoPS textbooks, because they help him digest problems.<br />
<br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
- Gmaas sightings are not very common. There have only been 8 confirmed sightings of Gmaas in the wild.<br />
<br />
- Gmaas is a sage omniscient cat.<br />
<br />
- He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
- Places where gmaas sightings have happened: <br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
~Alligator Swamp A 1072 <br />
~Alligator Swamp B 1073<br />
~Introduction to Algebra A (1170)<br />
~Welcome to Panda Town Gate 1076<br />
~Welcome to Gmaas Town Gate 1221<br />
~Welcome to Gmaas Town Gate 1125<br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
~The other side of the ice in Antarctica<br />
~Feisty Alligator Swamp 1115<br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
~Introduction to Counting and Probability 1142 <br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Counting and Probability 1207<br />
~Posting student surveys<br />
~USF Castle Walls 1203<br />
~Dark Lord's Hut 1210<br />
~AMC 10 Problem Series 1200<br />
~Intermediate Number Theory 1138<br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
~Algebra B 1112<br />
~33°81'199.4"N 167°05'45.1"W (Unknown location, please try again later)<br />
~Ocelot Rainforest 1111<br />
~Intermediate Counting and Probability 1137 <br />
~Intermediate Number Theory 1138 (AGAIN)<br />
~AMC 10 Problem Series 1200 (AGAIN)<br />
~Cat Gathering #339 1222<br />
~Cat Gathering #312 1535<br />
~Introduction to Geometry (1190)<br />
~Hogwarts Introduction to Transfiguration (...16168)<br />
~Cat Meow Meow Purr 1110<br />
~Bilbo's Hobbit Hole 1234<br />
~http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx<br />
~Pre-Algebra 1 with sseraj 1164. (Year: 2015) (gmaas code: 6666)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Number Theory 1229 (AGAIN)<br />
~Calculus 1226<br />
~Gallifrey Meeting #123456, 1888.<br />
~On his account of course.<br />
~On FEFF once<br />
<br />
- These have all been designated as the most glorious sections of Aopsland now (Epecially the USF castle walls), but deforestation threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
- Gmaas has randomly been known to have sent his minions into Prealgebra 2 1163. However, the danger is passed, that class is over.<br />
<br />
- Gmaas also has randomly appeared on top of the USF's Tribal Bases(he seems to prefer the Void Tribe). However, the next day there is normally a puddle in the shape of a cat's underbelly wherever he was sighted. Nobody knows what this does. <br />
<br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
EDIT: The above disguises are rare for a Gmaas, except the cat.<br />
<br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
EDIT: He IS an AoPS site admin.<br />
<br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
- Is this the real life? Is this just fantasy? No. This is gmaas, the legend.<br />
<br />
- Gmaas might have been viewing (with a <math>\frac{99.999}{100}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday. If you do a sci-fi version of USF, then prepare to meet your Overpowered soldier with amazing weapons one day.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Vu.<br />
<br />
- Gmaas is on the list of "Elusive Creatures." If you have questions, or want the full list, contact moab33.<br />
<br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
<br />
- Gmaas's left eye contains the singularity. (Only when everyone in the world blinks at the same time.)<br />
<br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure, as Kendra sprinkled holly into his fur.<br />
<br />
- The original owner of Gmaas is gmaas.<br />
<br />
- Gmaas was not the fourth Peverell brother, but he ascended into higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.)<br />
<br />
- It is suspected that Gmaas may be ordering his cyberhairballs to take the forums, along with microbots.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mu.<br />
<br />
- Gmaas rarely frequents the headquarters of the Illuminati. He is their symbol. Or he was, for one yoctosecond.<br />
<br />
- It has been wondered if gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
- It has been confirmed that gmaas uses gmaal as his email service<br />
<br />
- Gmaas enjoys wearing gmean shorts<br />
<br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. <br />
<br />
- Gmaas is well known behind his stage name, Michal Stevens (also known as Vsaace XD), or his page name, Purrshanks.<br />
<br />
- Gmass rekt sseraj at 12:54 june 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
- Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
- Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seem the Dark Lord's hut knows that both gmaas and the DL (USF code name of the Dark Lord) love BBC. How gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
- The TV which was given to the DL was destroyed when the hut was raided by a group of hardcore USFers who did not want modern technology in their age, quote, "We beg gmaas' pardon, but such technology in an age of swords, bows, and magic is rather disturbing." The raiders were astonished to find the TV whole and running when they next returned in a full-scale attack, and have not touched it since.<br />
<br />
- Gmaas is a Super Duper Uper Cat Time Lord. He has 57843504 regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2\cdot267794=57843504</cmath>. <br />
<br />
- Gmaas loves to eat turnips. At <math>\frac{13}{32}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
- Gmaas has two tails, one for everyday life, and one for special occasions<br />
<br />
-Gmaas is a dangerous creature. If you ever meet him, immediately join his army or you will be killed.<br />
<br />
-Gmaas is in alliance in the Cult of Skaro. How did he get an alliance with ruthless creatures that want to kill everything on sight? Nobody knows. (Except him.)<br />
<br />
-Gmaas lives on Gallifrey.<br />
<br />
=== gmaas in Popular Culture ===<br />
<br />
- Currently, [https://docs.google.com/document/d/1mLa2d_9Qgv4C9cZdThyjA6kSf2ULgwvkVjPVqmsoV2w/edit a book] is being written (by JpusheenS) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".<br />
<br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
- Sullymath is also writing a book about Gmaas<br />
<br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=LaTeX:Symbols&diff=82278LaTeX:Symbols2017-01-10T22:36:14Z<p>Moab33: Undo revision 82269 by Jlikemath (talk)</p>
<hr />
<div>{{Latex}}<br />
<br />
This article will provide a short list of commonly used LaTeX symbols. <br />
<br />
== Common Symbols ==<br />
<br />
=== Operators ===<br />
<br />
=== Relations ===<br />
<br />
== Finding Other Symbols ==<br />
<br />
Here are some external resources for finding less commonly used symbols:<br />
<ul><br />
<li><br />
[http://detexify.kirelabs.org/classify.html Detexify] is an app which allows you to draw the symbol you'd like and shows you the <math>\LaTeX</math> code for it!<br />
<br/><br/></li><br />
<br />
<li><br />
MathJax (what allows us to use <math>\LaTeX</math> on the web) maintains a [http://docs.mathjax.org/en/latest/tex.html#supported-latex-commands list of supported commands].<br />
<br/><br/></li><br />
<br />
<li><br />
[http://mirrors.ctan.org/info/symbols/comprehensive/symbols-a4.pdf The Comprehensive LaTeX Symbol List].<br />
<br/><br/></li><br />
</ul><br />
<br />
-------------------------------------------------------------------------------------------------------------<br />
<br />
==Operators==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\pm</math>||\pm||<math>\mp</math>||\mp||<math>\times</math>||\times<br />
|-<br />
|<math>\div</math>||\div||<math>\cdot</math>||\cdot||<math>\ast</math>||\ast<br />
|-<br />
|<math>\star</math>||\star||<math>\dagger</math>||\dagger||<math>\ddagger</math>||\ddagger<br />
|-<br />
|<math>\amalg</math>||\amalg||<math>\cap</math>||\cap||<math>\cup</math>||\cup<br />
|-<br />
|<math>\uplus</math>||\uplus||<math>\sqcap</math>||\sqcap||<math>\sqcup</math>||\sqcup<br />
|-<br />
|<math>\vee</math>||\vee||<math>\wedge</math>||\wedge||<math>\oplus</math>||\oplus<br />
|-<br />
|<math>\ominus</math>||\ominus||<math>\otimes</math>||\otimes||<math>\circ</math>||\circ<br />
|-<br />
|<math>\bullet</math>||\bullet||<math>\diamond</math>||\diamond||<math>\lhd</math>||\lhd<br />
|-<br />
|<math>\rhd</math>||\rhd||<math>\unlhd</math>||\unlhd||[[Image:Unrhd.gif]]||\unrhd<br />
|-<br />
|<math>\oslash</math>||\oslash||<math>\odot</math>||\odot||<math>\bigcirc</math>||\bigcirc<br />
|-<br />
|<math>\triangleleft</math>||\triangleleft||<math>\Diamond</math>||\Diamond||<math>\bigtriangleup</math>||\bigtriangleup<br />
|-<br />
|<math>\bigtriangledown</math>||\bigtriangledown||<math>\Box</math>||\Box||<math>\triangleright</math>||\triangleright<br />
|-<br />
|<math>\setminus</math>||\setminus||<math>\wr</math>||\wr||<math>\sqrt{x}</math>||\sqrt{x}<br />
|-<br />
|<math>x^{\circ}</math>||x^{\circ}||<math>\triangledown</math>||\triangledown||<math>\sqrt[n]{x}</math>||\sqrt[n]{x}<br />
|-<br />
|<math>a^x</math>||a^x||<math>a^{xyz}</math>||a^{xyz}<br />
|}<br />
<br />
==Relations==<br />
{| class="latextable"<br />
!Symbol !! Command !!Symbol !! Command!!Symbol !! Command<br />
|-<br />
| <math>\le</math>||\le||<math>\ge</math>||\ge||<math>\neq</math>||\neq<br />
|-<br />
| <math>\sim</math>||\sim||<math>\ll</math>||\ll||<math>\gg</math>||\gg<br />
|-<br />
| <math>\doteq</math>||\doteq||<math>\simeq</math>||\simeq||<math>\subset</math>||\subset<br />
|-<br />
| <math>\supset</math>||\supset||<math>\approx</math>||\approx||<math>\asymp</math>||\asymp<br />
|-<br />
| <math>\subseteq</math>||\subseteq||<math>\supseteq</math>||\supseteq||<math>\cong</math>||\cong<br />
|-<br />
| <math>\smile</math>||\smile||<math>\sqsubset</math>||\sqsubset||<math>\sqsupset</math>||\sqsupset<br />
|-<br />
| <math>\equiv</math>||\equiv||<math>\frown</math>||\frown||<math>\sqsubseteq</math>||\sqsubseteq<br />
|-<br />
| <math>\sqsupseteq</math>||\sqsupseteq||<math>\propto</math>||\propto||<math>\bowtie</math>||\bowtie<br />
|-<br />
| <math>\in</math>||\in||<math>\ni</math>||\ni||<math>\prec</math>||\prec<br />
|-<br />
| <math>\succ</math>||\succ||<math>\vdash</math>||\vdash||<math>\dashv</math>||\dashv<br />
|-<br />
| <math>\preceq</math>||\preceq||<math>\succeq</math>||\succeq||<math>\models</math>||\models<br />
|-<br />
| <math>\perp</math>||\perp||<math>\parallel</math>||\parallel||<br />
|-<br />
| <math>\mid</math>||\mid||<math>\bumpeq</math>||\bumpeq||<br />
|}<br />
Negations of many of these relations can be formed by just putting \not before the symbol, or by slipping an n between the \ and the word. Here are a few examples, plus a few other negations; it works for many of the others as well.<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\nmid</math>||\nmid||<math>\nleq</math>||\nleq||<math>\ngeq</math>||\ngeq<br />
|-<br />
| <math>\nsim</math>||\nsim||<math>\ncong</math>||\ncong||<math>\nparallel</math>||\nparallel<br />
|-<br />
| <math>\not<</math>||\not<||<math>\not></math>||\not>||<math>\not=</math>||\not=<br />
|-<br />
| <math>\not\le</math>||\not\le||<math>\not\ge</math>||\not\ge||<math>\not\sim</math>||\not\sim<br />
|-<br />
|<math>\not \approx</math>||\not\approx||<math>\not\cong</math>||\not\cong||<math>\not\equiv</math>||\not\equiv<br />
|-<br />
| <math>\not\parallel</math>||\not\parallel||<math>\nless</math>||\nless||<math>\ngtr</math>||\ngtr<br />
|-<br />
| <math>\lneq</math>||\lneq||<math>\gneq</math>||\gneq||<math>\lnsim</math>||\lnsim<br />
|-<br />
| <math>\lneqq</math>||\lneqq||<math>\gneqq</math>||\gneqq<br />
|}<br />
<br />
To use other relations not listed here, such as =, >, and <, in LaTeX, you may just use the symbols on your keyboard.<br />
<br />
==Greek Letters==<br />
{| class="latextable"<br />
|+ Lowercase Letters<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\alpha</math>||\alpha||<math>\beta</math>||\beta||<math>\gamma</math>||\gamma||<math>\delta</math>||\delta<br />
|-<br />
| <math>\epsilon</math>||\epsilon||<math>\varepsilon</math>||\varepsilon||<math>\zeta</math>||\zeta||<math>\eta</math>||\eta<br />
|-<br />
| <math>\theta</math>||\theta||<math>\vartheta</math>||\vartheta||<math>\iota</math>||\iota||<math>\kappa</math>||\kappa<br />
|-<br />
| <math>\lambda</math>||\lambda||<math>\mu</math>||\mu||<math>\nu</math>||\nu||<math>\xi</math>||\xi<br />
|-<br />
|<math>\pi</math>||\pi||<math>\varpi</math>||\varpi||<math>\rho</math>||\rho||<math>\varrho</math>||\varrho<br />
|-<br />
| <math>\sigma</math>||\sigma||<math>\varsigma</math>||\varsigma||<math>\tau</math>||\tau||<math>\upsilon</math>||\upsilon<br />
|-<br />
| <math>\phi</math>||\phi||<math>\varphi</math>||\varphi||<math>\chi</math>||\chi||<math>\psi</math>||\psi<br />
|-<br />
| <math>\omega</math>||\omega<br />
|}<br />
<br />
<br />
{| class="latextable"<br />
|+ Capital Letters<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\Gamma</math>||\Gamma||<math>\Delta</math>||\Delta||<math>\Theta</math>||\Theta||<math>\Lambda</math>||\Lambda<br />
|-<br />
| <math>\Xi</math>||\Xi||<math>\Pi</math>||\Pi||<math>\Sigma</math>||\Sigma||<math>\Upsilon</math>||\Upsilon<br />
|-<br />
| <math>\Phi</math>||\Phi||<math>\Psi</math>||\Psi||<math>\Omega</math>||\Omega<br />
|}<br />
<br />
<br />
== Headline text ==<br />
==Arrows==<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\gets</math>||\gets||<math>\to</math>||\to<br />
|-<br />
|<math>\leftarrow</math>||\leftarrow||<math>\Leftarrow</math>||\Leftarrow<br />
|-<br />
|<math>\rightarrow</math>||\rightarrow||<math>\Rightarrow</math>||\Rightarrow<br />
|-<br />
|<math>\leftrightarrow</math>||\leftrightarrow||<math>\Leftrightarrow</math>||\Leftrightarrow<br />
|-<br />
|<math>\mapsto</math>||\mapsto||<math>\hookleftarrow</math>||\hookleftarrow<br />
|-<br />
|<math>\leftharpoonup</math>||\leftharpoonup||<math>\leftharpoondown</math>||\leftharpoondown<br />
|-<br />
|<math>\rightleftharpoons</math>||\rightleftharpoons||<math>\longleftarrow</math>||\longleftarrow<br />
|-<br />
|<math>\Longleftarrow</math>||\Longleftarrow||<math>\longrightarrow</math>||\longrightarrow<br />
|-<br />
|<math>\Longrightarrow</math>||\Longrightarrow||<math>\longleftrightarrow</math>||\longleftrightarrow<br />
|-<br />
|<math>\Longleftrightarrow</math>||\Longleftrightarrow||<math>\longmapsto</math>||\longmapsto<br />
|-<br />
|<math>\hookrightarrow</math>||\hookrightarrow||<math>\rightharpoonup</math>||\rightharpoonup<br />
|-<br />
|<math>\rightharpoondown</math>||\rightharpoondown||<math>\leadsto</math>||\leadsto<br />
|-<br />
|<math>\uparrow</math>||\uparrow||<math>\Uparrow</math>||\Uparrow<br />
|-<br />
|<math>\downarrow</math>||\downarrow||<math>\Downarrow</math>||\Downarrow<br />
|-<br />
|<math>\updownarrow</math>||\updownarrow||<math>\Updownarrow</math>||\Updownarrow<br />
|-<br />
|<math>\nearrow</math>||\nearrow||<math>\searrow</math>||\searrow<br />
|-<br />
|<math>\swarrow</math>||\swarrow||<math>\nwarrow</math>||\nwarrow<br />
|}<br />
(For those of you who hate typing long strings of letters, \iff and \implies can be used in place of \Longleftrightarrow and \Longrightarrow respectively.)<br />
<br />
==Dots==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|- <br />
|<math>\cdot</math>||\cdot|| |<math>\vdots</math>||\vdots|| <br />
|- <br />
|<math>\dots</math>||\dots|| <br />
|-<br />
|<math>\cdots</math>||\cdots||<br />
|-<br />
|<math>\ddots</math>||\ddots||<br />
<br />
|-<br />
|<math>\iddots</math>||\iddots||<br />
|}<br />
<br />
==Accents==<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\hat{x}</math>||\hat{x}||<math>\check{x}</math>||\check{x}||<math>\dot{x}</math>||\dot{x}<br />
|-<br />
|<math>\breve{x}</math>||\breve{x}||<math>\acute{x}</math>||\acute{x}||<math>\ddot{x}</math>||\ddot{x}<br />
|-<br />
|<math>\grave{x}</math>||\grave{x}||<math>\tilde{x}</math>||\tilde{x}||<math>\mathring{x}</math>||\mathring{x}<br />
|-<br />
|<math>\bar{x}</math>||\bar{x}||<math>\vec{x}</math>||\vec{x}<br />
|}<br />
When applying accents to i and j, you can use \imath and \jmath to keep the dots from interfering with the accents:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\vec{\jmath}</math>||\vec{\jmath}||<math>\tilde{\imath}</math>||\tilde{\imath}<br />
|}<br />
\tilde and \hat have wide versions that allow you to accent an expression:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\widehat{7+x}</math>||\widehat{7+x}||<math>\widetilde{abc}</math>||\widetilde{abc}<br />
|}<br />
<br />
==Others==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command <br />
|-<br />
|<math>\infty</math>||\infty||<math>\triangle</math>||\triangle||<math>\angle</math>||\angle<br />
|-<br />
|<math>\aleph</math>||\aleph||<math>\hbar</math>||\hbar||<math>\imath</math>||\imath<br />
|-<br />
|<math>\jmath</math>||\jmath||<math>\ell</math>||\ell||<math>\wp</math>||\wp<br />
|-<br />
|<math>\Re</math>||\Re||<math>\Im</math>||\Im||<math>\mho</math>||\mho<br />
|-<br />
|<math>\prime</math>||\prime||<math>\emptyset</math>||\emptyset||<math>\nabla</math>||\nabla<br />
|-<br />
|<math>\surd</math>||\surd||<math>\partial</math>||\partial||<math>\top</math>||\top<br />
|-<br />
|<math>\bot</math>||\bot||<math>\vdash</math>||\vdash||<math>\dashv</math>||\dashv<br />
|-<br />
|<math>\forall</math>||\forall||<math>\exists</math>||\exists||<math>\neg</math>||\neg<br />
|-<br />
|<math>\flat</math>||\flat||<math>\natural</math>||\natural||<math>\sharp</math>||\sharp<br />
|-<br />
|<math>\backslash</math>||\backslash||<math>\Box</math>||\Box||<math>\Diamond</math>||\Diamond<br />
|-<br />
|<math>\clubsuit</math>||\clubsuit||<math>\diamondsuit</math>||\diamondsuit||<math>\heartsuit</math>||\heartsuit<br />
|-<br />
|[[Image:Spadesuit.gif]]||\spadesuit||<math>\Join</math>||\Join||<math>\blacksquare</math>||\blacksquare<br />
|-<br />
|<math>\S</math>||\S||<math>\P</math>||\P||<math>\copyright</math>||\copyright<br />
|-<br />
|<math>\pounds</math>||\pounds||<math>\overarc{ABC}</math>||\overarc{ABC}||<math>\underarc{XYZ}</math>||\underarc{XYZ}<br />
|-<br />
|<math>\bigstar</math>||\bigstar||<math>\in</math>||\in||<math>\cup</math>||\cup<br />
|-<br />
|<math>\square</math>||\square||<br />
|-<br />
|<math>\smiley</math>||\smiley||<br />
|-<br />
|<math>\mathbb{R}</math>||\mathbb{R} (represents all real numbers)||<br />
|-<br />
|<math>\checkmark</math>||\checkmark||<br />
|}<br />
<br />
==Command Symbols==<br />
Some symbols are used in commands so they need to be treated in a special way.<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\textdollar</math>||\textdollar or \$||<math>\&</math>||\&||<math>\%</math>||\%||<math>\#</math>||\#<br />
|-<br />
|<math>\_</math>||\_||<math>\{</math>||\{||<math>\}</math>||\}||<math>\backslash</math>||\backslash<br />
|}<br />
<br />
(Warning: Using <nowiki>$</nowiki> for <math>\textdollar</math> will result in <math>\$</math>. This is a bug as far as we know. Depending on the version of <math>\LaTeX</math> this is not always a problem.)<br />
<br />
==European Language Symbols==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>{\oe}</math>||{\oe}||<math>{\ae}</math>||{\ae}||<math>{\o}</math>||{\o}<br />
|-<br />
|<math>{\OE}</math>||{\OE}||<math>{\AE}</math>||{\AE}||<math>{\AA}</math>||{\AA}||<math>{\O}</math>||{\O}<br />
|-<br />
|<math>{\l}</math>||{\l}||<math>{\ss}</math>||{\ss}||<math>\text{!`}</math>||!`<br />
|-<br />
|<math>{\L}</math>||{\L}||<math>{\SS}</math>||{\SS}||<br />
|}<br />
<br />
==Bracketing Symbols==<br />
In mathematics, sometimes we need to enclose expressions in brackets or braces or parentheses. Some of these work just as you'd imagine in LaTeX; type ( and ) for parentheses, [ and ] for brackets, and | and | for absolute value. However, other symbols have special commands:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\{</math>||\{||<math>\}</math>||\}||<math>\|</math>||<nowiki>\|</nowiki><br />
|-<br />
| <math>\backslash</math>||\backslash||<math>\lfloor</math>||\lfloor||<math>\rfloor</math>||\rfloor<br />
|-<br />
| <math>\lceil</math>||\lceil||<math>\rceil</math>||\rceil||<math>\langle</math>||\langle<br />
|-<br />
| <math>\rangle</math>||\rangle<br />
|}<br />
You might notice that if you use any of these to typeset an expression that is vertically large, like<br />
<br />
:<tt>(\frac{a}{x} )^2</tt><br />
<br />
the parentheses don't come out the right size:<br />
<br />
:<math>(\frac{a}{x})^2</math><br />
<br />
If we put \left and \right before the relevant parentheses, we get a prettier expression:<br />
<br />
:<tt>\left(\frac{a}{x} \right)^2</tt><br />
<br />
gives<br />
<br />
:<math>\left(\frac{a}{x} \right)^2</math><br />
<br />
\left and \right can also be used to resize the following symbols:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\uparrow</math>||\uparrow||<math>\downarrow</math>||\downarrow||<math>\updownarrow</math>||\updownarrow<br />
|-<br />
| <math>\Uparrow</math>||\Uparrow||<math>\Downarrow</math>||\Downarrow||<math>\Updownarrow</math>||\Updownarrow<br />
|}<br />
<br />
==Multi-Size Symbols==<br />
Some symbols render differently in inline math mode and in display mode. Display mode occurs when you use <nowiki>\[...\]</nowiki> or <nowiki>$$...$$</nowiki>, or environments like \begin{equation}...\end{equation}, \begin{align}...\end{align}. Read more in the [[LaTeX:Commands|commands]] section of the guide about how symbols which take arguments above and below the symbols, such as a summation symbol, behave in the two modes.<br />
<br />
In each of the following, the two images show the symbol in display mode, then in inline mode.<br />
<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\sum \textstyle\sum</math>||\sum||<math>\int \textstyle\int</math>||\int||<math>\oint \textstyle\oint</math>||\oint<br />
|-<br />
|<math>\prod \textstyle\prod</math>||\prod||<math>\coprod \textstyle\coprod</math>||\coprod||<math>\bigcap \textstyle\bigcap</math>||\bigcap<br />
|-<br />
|<math>\bigcup \textstyle\bigcup</math>||\bigcup||<math>\bigsqcup \textstyle\bigsqcup</math>||\bigsqcup||<math>\bigvee \textstyle\bigvee</math>||\bigvee<br />
|-<br />
|<math>\bigwedge \textstyle\bigwedge</math>||\bigwedge||<math>\bigodot \textstyle\bigodot</math>||\bigodot||<math>\bigotimes \textstyle\bigotimes</math>||\bigotimes<br />
|-<br />
|<math>\bigoplus \textstyle\bigoplus</math>||\bigoplus||<math>\biguplus \textstyle\biguplus</math>||\biguplus<br />
|}<br />
<br />
==See Also==<br />
*[[LaTeX:Commands | Next: Commands]]<br />
*[[LaTeX:Layout | Previous: Layout]]</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=LaTeX:Symbols&diff=82218LaTeX:Symbols2017-01-06T19:46:41Z<p>Moab33: I think the previous user made a mistake while trying to fix it.</p>
<hr />
<div>{{Latex}}<br />
<br />
This article will provide a short list of commonly used LaTeX symbols. <br />
<br />
== Common Symbols ==<br />
<br />
=== Operators ===<br />
<br />
=== Relations ===<br />
<br />
== Finding Other Symbols ==<br />
<br />
Here are some external resources for finding less commonly used symbols:<br />
<ul><br />
<li><br />
[http://detexify.kirelabs.org/classify.html Detexify] is an app which allows you to draw the symbol you'd like and shows you the <math>\LaTeX</math> code for it!<br />
<br/><br/></li><br />
<br />
<li><br />
MathJax (what allows us to use <math>\LaTeX</math> on the web) maintains a [http://docs.mathjax.org/en/latest/tex.html#supported-latex-commands list of supported commands].<br />
<br/><br/></li><br />
<br />
<li><br />
[http://mirrors.ctan.org/info/symbols/comprehensive/symbols-a4.pdf The Comprehensive LaTeX Symbol List].<br />
<br/><br/></li><br />
</ul><br />
<br />
-------------------------------------------------------------------------------------------------------------<br />
<br />
==Operators==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\pm</math>||\pm||<math>\mp</math>||\mp||<math>\times</math>||\times<br />
|-<br />
|<math>\div</math>||\div||<math>\cdot</math>||\cdot||<math>\ast</math>||\ast<br />
|-<br />
|<math>\star</math>||\star||<math>\dagger</math>||\dagger||<math>\ddagger</math>||\ddagger<br />
|-<br />
|<math>\amalg</math>||\amalg||<math>\cap</math>||\cap||<math>\cup</math>||\cup<br />
|-<br />
|<math>\uplus</math>||\uplus||<math>\sqcap</math>||\sqcap||<math>\sqcup</math>||\sqcup<br />
|-<br />
|<math>\vee</math>||\vee||<math>\wedge</math>||\wedge||<math>\oplus</math>||\oplus<br />
|-<br />
|<math>\ominus</math>||\ominus||<math>\otimes</math>||\otimes||<math>\circ</math>||\circ<br />
|-<br />
|<math>\bullet</math>||\bullet||<math>\diamond</math>||\diamond||<math>\lhd</math>||\lhd<br />
|-<br />
|<math>\rhd</math>||\rhd||<math>\unlhd</math>||\unlhd||[[Image:Unrhd.gif]]||\unrhd<br />
|-<br />
|<math>\oslash</math>||\oslash||<math>\odot</math>||\odot||<math>\bigcirc</math>||\bigcirc<br />
|-<br />
|<math>\triangleleft</math>||\triangleleft||<math>\Diamond</math>||\Diamond||<math>\bigtriangleup</math>||\bigtriangleup<br />
|-<br />
|<math>\bigtriangledown</math>||\bigtriangledown||<math>\Box</math>||\Box||<math>\triangleright</math>||\triangleright<br />
|-<br />
|<math>\setminus</math>||\setminus||<math>\wr</math>||\wr||<math>\sqrt{x}</math>||\sqrt{x}<br />
|-<br />
|<math>x^{\circ}</math>||x^{\circ}||<math>\triangledown</math>||\triangledown||<math>\sqrt[n]{x}</math>||\sqrt[n]{x}<br />
|-<br />
|<math>a^x</math>||a^x||<math>a^{xyz}</math>||a^{xyz}<br />
|}<br />
<br />
==Relations==<br />
{| class="latextable"<br />
!Symbol !! Command !!Symbol !! Command!!Symbol !! Command<br />
|-<br />
| <math>\le</math>||\le||<math>\ge</math>||\ge||<math>\neq</math>||\neq<br />
|-<br />
| <math>\sim</math>||\sim||<math>\ll</math>||\ll||<math>\gg</math>||\gg<br />
|-<br />
| <math>\doteq</math>||\doteq||<math>\simeq</math>||\simeq||<math>\subset</math>||\subset<br />
|-<br />
| <math>\supset</math>||\supset||<math>\approx</math>||\approx||<math>\asymp</math>||\asymp<br />
|-<br />
| <math>\subseteq</math>||\subseteq||<math>\supseteq</math>||\supseteq||<math>\cong</math>||\cong<br />
|-<br />
| <math>\smile</math>||\smile||<math>\sqsubset</math>||\sqsubset||<math>\sqsupset</math>||\sqsupset<br />
|-<br />
| <math>\equiv</math>||\equiv||<math>\frown</math>||\frown||<math>\sqsubseteq</math>||\sqsubseteq<br />
|-<br />
| <math>\sqsupseteq</math>||\sqsupseteq||<math>\propto</math>||\propto||<math>\bowtie</math>||\bowtie<br />
|-<br />
| <math>\in</math>||\in||<math>\ni</math>||\ni||<math>\prec</math>||\prec<br />
|-<br />
| <math>\succ</math>||\succ||<math>\vdash</math>||\vdash||<math>\dashv</math>||\dashv<br />
|-<br />
| <math>\preceq</math>||\preceq||<math>\succeq</math>||\succeq||<math>\models</math>||\models<br />
|-<br />
| <math>\perp</math>||\perp||<math>\parallel</math>||\parallel||<br />
|-<br />
| <math>\mid</math>||\mid||<math>\bumpeq</math>||\bumpeq||<br />
|}<br />
Negations of many of these relations can be formed by just putting \not before the symbol, or by slipping an n between the \ and the word. Here are a few examples, plus a few other negations; it works for many of the others as well.<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\nmid</math>||\nmid||<math>\nleq</math>||\nleq||<math>\ngeq</math>||\ngeq<br />
|-<br />
| <math>\nsim</math>||\nsim||<math>\ncong</math>||\ncong||<math>\nparallel</math>||\nparallel<br />
|-<br />
| <math>\not<</math>||\not<||<math>\not></math>||\not>||<math>\not=</math>||\not=<br />
|-<br />
| <math>\not\le</math>||\not\le||<math>\not\ge</math>||\not\ge||<math>\not\sim</math>||\not\sim<br />
|-<br />
|<math>\not \approx</math>||\not\approx||<math>\not\cong</math>||\not\cong||<math>\not\equiv</math>||\not\equiv<br />
|-<br />
| <math>\not\parallel</math>||\not\parallel||<math>\nless</math>||\nless||<math>\ngtr</math>||\ngtr<br />
|-<br />
| <math>\lneq</math>||\lneq||<math>\gneq</math>||\gneq||<math>\lnsim</math>||\lnsim<br />
|-<br />
| <math>\lneqq</math>||\lneqq||<math>\gneqq</math>||\gneqq<br />
|}<br />
<br />
To use other relations not listed here, such as =, >, and <, in LaTeX, you may just use the symbols on your keyboard.<br />
<br />
==Greek Letters==<br />
{| class="latextable"<br />
|+ Lowercase Letters<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\alpha</math>||\alpha||<math>\beta</math>||\beta||<math>\gamma</math>||\gamma||<math>\delta</math>||\delta<br />
|-<br />
| <math>\epsilon</math>||\epsilon||<math>\varepsilon</math>||\varepsilon||<math>\zeta</math>||\zeta||<math>\eta</math>||\eta<br />
|-<br />
| <math>\theta</math>||\theta||<math>\vartheta</math>||\vartheta||<math>\iota</math>||\iota||<math>\kappa</math>||\kappa<br />
|-<br />
| <math>\lambda</math>||\lambda||<math>\mu</math>||\mu||<math>\nu</math>||\nu||<math>\xi</math>||\xi<br />
|-<br />
|<math>\pi</math>||\pi||<math>\varpi</math>||\varpi||<math>\rho</math>||\rho||<math>\varrho</math>||\varrho<br />
|-<br />
| <math>\sigma</math>||\sigma||<math>\varsigma</math>||\varsigma||<math>\tau</math>||\tau||<math>\upsilon</math>||\upsilon<br />
|-<br />
| <math>\phi</math>||\phi||<math>\varphi</math>||\varphi||<math>\chi</math>||\chi||<math>\psi</math>||\psi<br />
|-<br />
| <math>\omega</math>||\omega<br />
|}<br />
<br />
<br />
{| class="latextable"<br />
|+ Capital Letters<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\Gamma</math>||\Gamma||<math>\Delta</math>||\Delta||<math>\Theta</math>||\Theta||<math>\Lambda</math>||\Lambda<br />
|-<br />
| <math>\Xi</math>||\Xi||<math>\Pi</math>||\Pi||<math>\Sigma</math>||\Sigma||<math>\Upsilon</math>||\Upsilon<br />
|-<br />
| <math>\Phi</math>||\Phi||<math>\Psi</math>||\Psi||<math>\Omega</math>||\Omega<br />
|}<br />
<br />
<br />
== Headline text ==<br />
==Arrows==<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\gets</math>||\gets||<math>\to</math>||\to<br />
|-<br />
|<math>\leftarrow</math>||\leftarrow||<math>\Leftarrow</math>||\Leftarrow<br />
|-<br />
|<math>\rightarrow</math>||\rightarrow||<math>\Rightarrow</math>||\Rightarrow<br />
|-<br />
|<math>\leftrightarrow</math>||\leftrightarrow||<math>\Leftrightarrow</math>||\Leftrightarrow<br />
|-<br />
|<math>\mapsto</math>||\mapsto||<math>\hookleftarrow</math>||\hookleftarrow<br />
|-<br />
|<math>\leftharpoonup</math>||\leftharpoonup||<math>\leftharpoondown</math>||\leftharpoondown<br />
|-<br />
|<math>\rightleftharpoons</math>||\rightleftharpoons||<math>\longleftarrow</math>||\longleftarrow<br />
|-<br />
|<math>\Longleftarrow</math>||\Longleftarrow||<math>\longrightarrow</math>||\longrightarrow<br />
|-<br />
|<math>\Longrightarrow</math>||\Longrightarrow||<math>\longleftrightarrow</math>||\longleftrightarrow<br />
|-<br />
|<math>\Longleftrightarrow</math>||\Longleftrightarrow||<math>\longmapsto</math>||\longmapsto<br />
|-<br />
|<math>\hookrightarrow</math>||\hookrightarrow||<math>\rightharpoonup</math>||\rightharpoonup<br />
|-<br />
|<math>\rightharpoondown</math>||\rightharpoondown||<math>\leadsto</math>||\leadsto<br />
|-<br />
|<math>\uparrow</math>||\uparrow||<math>\Uparrow</math>||\Uparrow<br />
|-<br />
|<math>\downarrow</math>||\downarrow||<math>\Downarrow</math>||\Downarrow<br />
|-<br />
|<math>\updownarrow</math>||\updownarrow||<math>\Updownarrow</math>||\Updownarrow<br />
|-<br />
|<math>\nearrow</math>||\nearrow||<math>\searrow</math>||\searrow<br />
|-<br />
|<math>\swarrow</math>||\swarrow||<math>\nwarrow</math>||\nwarrow<br />
|}<br />
(For those of you who hate typing long strings of letters, \iff and \implies can be used in place of \Longleftrightarrow and \Longrightarrow respectively.)<br />
<br />
==Dots==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|- <br />
|<math>\cdot</math>||\cdot|| |<math>\vdots</math>||\vdots|| <br />
|- <br />
|<math>\dots</math>||\dots|| <br />
|-<br />
|<math>\cdots</math>||\cdots||<br />
|-<br />
|<math>\ddots</math>||\ddots||<br />
<br />
|-<br />
|<math>\iddots</math>||\iddots||<br />
|}<br />
<br />
==Accents==<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\hat{x}</math>||\hat{x}||<math>\check{x}</math>||\check{x}||<math>\dot{x}</math>||\dot{x}<br />
|-<br />
|<math>\breve{x}</math>||\breve{x}||<math>\acute{x}</math>||\acute{x}||<math>\ddot{x}</math>||\ddot{x}<br />
|-<br />
|<math>\grave{x}</math>||\grave{x}||<math>\tilde{x}</math>||\tilde{x}||<math>\mathring{x}</math>||\mathring{x}<br />
|-<br />
|<math>\bar{x}</math>||\bar{x}||<math>\vec{x}</math>||\vec{x}<br />
|}<br />
When applying accents to i and j, you can use \imath and \jmath to keep the dots from interfering with the accents:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\vec{\jmath}</math>||\vec{\jmath}||<math>\tilde{\imath}</math>||\tilde{\imath}<br />
|}<br />
\tilde and \hat have wide versions that allow you to accent an expression:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\widehat{7+x}</math>||\widehat{7+x}||<math>\widetilde{abc}</math>||\widetilde{abc}<br />
|}<br />
<br />
==Others==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command <br />
|-<br />
|<math>\infty</math>||\infty||<math>\triangle</math>||\triangle||<math>\angle</math>||\angle<br />
|-<br />
|<math>\aleph</math>||\aleph||<math>\hbar</math>||\hbar||<math>\imath</math>||\imath<br />
|-<br />
|<math>\jmath</math>||\jmath||<math>\ell</math>||\ell||<math>\wp</math>||\wp<br />
|-<br />
|<math>\Re</math>||\Re||<math>\Im</math>||\Im||<math>\mho</math>||\mho<br />
|-<br />
|<math>\prime</math>||\prime||<math>\emptyset</math>||\emptyset||<math>\nabla</math>||\nabla<br />
|-<br />
|<math>\surd</math>||\surd||<math>\partial</math>||\partial||<math>\top</math>||\top<br />
|-<br />
|<math>\bot</math>||\bot||<math>\vdash</math>||\vdash||<math>\dashv</math>||\dashv<br />
|-<br />
|<math>\forall</math>||\forall||<math>\exists</math>||\exists||<math>\neg</math>||\neg<br />
|-<br />
|<math>\flat</math>||\flat||<math>\natural</math>||\natural||<math>\sharp</math>||\sharp<br />
|-<br />
|<math>\backslash</math>||\backslash||<math>\Box</math>||\Box||<math>\Diamond</math>||\Diamond<br />
|-<br />
|<math>\clubsuit</math>||\clubsuit||<math>\diamondsuit</math>||\diamondsuit||<math>\heartsuit</math>||\heartsuit<br />
|-<br />
|[[Image:Spadesuit.gif]]||\spadesuit||<math>\Join</math>||\Join||<math>\blacksquare</math>||\blacksquare<br />
|-<br />
|<math>\S</math>||\S||<math>\P</math>||\P||<math>\copyright</math>||\copyright<br />
|-<br />
|<math>\pounds</math>||\pounds||<math>\overarc{ABC}</math>||\overarc{ABC}||<math>\underarc{XYZ}</math>||\underarc{XYZ}<br />
|-<br />
|<math>\bigstar</math>||\bigstar||<math>\in</math>||\in||<math>\cup</math>||\cup<br />
|-<br />
|<math>\square</math>||\square||<br />
|-<br />
|<math>\smiley</math>||\smiley||<br />
|-<br />
|<math>\mathbb{R}</math>||\mathbb{R} (represents all real numbers)||<br />
|-<br />
|<math>\checkmark</math>||\checkmark||<br />
|}<br />
<br />
==Command Symbols==<br />
Some symbols are used in commands so they need to be treated in a special way.<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\textdollar</math>||\textdollar or \$||<math>\&</math>||\&||<math>\%</math>||\%||<math>\#</math>||\#<br />
|-<br />
|<math>\_</math>||\_||<math>\{</math>||\{||<math>\}</math>||\}||<math>\backslash</math>||\backslash<br />
|}<br />
<br />
(Warning: Using <nowiki>$</nowiki> for <math>\textdollar</math> will result in <math>\$</math>. This is a bug as far as we know. Depending on the version of <math>\LaTeX</math> this is not always a problem.)<br />
<br />
==European Language Symbols==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>{\oe}</math>||{\oe}||<math>{\ae}</math>||{\ae}||<math>{\o}</math>||{\o}<br />
|-<br />
|<math>{\OE}</math>||{\OE}||<math>{\AE}</math>||{\AE}||<math>{\AA}</math>||{\AA}||<math>{\O}</math>||{\O}<br />
|-<br />
|<math>{\l}</math>||{\l}||<math>{\ss}</math>||{\ss}||<math>\text{!`}</math>||!`<br />
|-<br />
|<math>{\L}</math>||{\L}||<math>{\SS}</math>||{\SS}||<br />
|}<br />
<br />
==Bracketing Symbols==<br />
In mathematics, sometimes we need to enclose expressions in brackets or braces or parentheses. Some of these work just as you'd imagine in LaTeX; type ( and ) for parentheses, [ and ] for brackets, and | and | for absolute value. However, other symbols have special commands:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\{</math>||\{||<math>\}</math>||\}||<math>\|</math>||<nowiki>\|</nowiki><br />
|-<br />
| <math>\backslash</math>||\backslash||<math>\lfloor</math>||\lfloor||<math>\rfloor</math>||\rfloor<br />
|-<br />
| <math>\lceil</math>||\lceil||<math>\rceil</math>||\rceil||<math>\langle</math>||\langle<br />
|-<br />
| <math>\rangle</math>||\rangle<br />
|}<br />
You might notice that if you use any of these to typeset an expression that is vertically large, like<br />
<br />
:<tt>(\frac{a}{x} )^2</tt><br />
<br />
the parentheses don't come out the right size:<br />
<br />
:<math>(\frac{a}{x})^2</math><br />
<br />
If we put \left and \right before the relevant parentheses, we get a prettier expression:<br />
<br />
:<tt>\left(\frac{a}{x} \right)^2</tt><br />
<br />
gives<br />
<br />
:<math>\left(\frac{a}{x} \right)^2</math><br />
<br />
\left and \right can also be used to resize the following symbols:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\uparrow</math>||\uparrow||<math>\downarrow</math>||\downarrow||<math>\updownarrow</math>||\updownarrow<br />
|-<br />
| <math>\Uparrow</math>||\Uparrow||<math>\Downarrow</math>||\Downarrow||<math>\Updownarrow</math>||\Updownarrow<br />
|}<br />
<br />
==Multi-Size Symbols==<br />
Some symbols render differently in inline math mode and in display mode. Display mode occurs when you use <nowiki>\[...\]</nowiki> or <nowiki>$$...$$</nowiki>, or environments like \begin{equation}...\end{equation}, \begin{align}...\end{align}. Read more in the [[LaTeX:Commands|commands]] section of the guide about how symbols which take arguments above and below the symbols, such as a summation symbol, behave in the two modes.<br />
<br />
In each of the following, the two images show the symbol in display mode, then in inline mode.<br />
<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\sum \textstyle\sum</math>||\sum||<math>\int \textstyle\int</math>||\int||<math>\oint \textstyle\oint</math>||\oint<br />
|-<br />
|<math>\prod \textstyle\prod</math>||\prod||<math>\coprod \textstyle\coprod</math>||\coprod||<math>\bigcap \textstyle\bigcap</math>||\bigcap<br />
|-<br />
|<math>\bigcup \textstyle\bigcup</math>||\bigcup||<math>\bigsqcup \textstyle\bigsqcup</math>||\bigsqcup||<math>\bigvee \textstyle\bigvee</math>||\bigvee<br />
|-<br />
|<math>\bigwedge \textstyle\bigwedge</math>||\bigwedge||<math>\bigodot \textstyle\bigodot</math>||\bigodot||<math>\bigotimes \textstyle\bigotimes</math>||\bigotimes<br />
|-<br />
|<math>\bigoplus \textstyle\bigoplus</math>||\bigoplus||<math>\biguplus \textstyle\biguplus</math>||\biguplus<br />
|}<br />
<br />
==See Also==<br />
*[[LaTeX:Commands | Next: Commands]]<br />
*[[LaTeX:Layout | Previous: Layout]]</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=81945Gmaas2016-12-19T23:36:20Z<p>Moab33: </p>
<hr />
<div>=== Known Facts About gmaas === <br />
<br />
- gmaas is the Doctor Who lord; he sports Dalek-painted cars and eats human finger cheese and custard.<br />
<br />
- themoocow is gmass. gmass is gmaas's cousin.<br />
<br />
- Gmass is <math>\bold{not}</math> Colonel Meow.<br />
<br />
- Gmaas is 5space's favorite animal. [http://artofproblemsolving.com/wiki/index.php?title=File:Gmaas2.png (Source)]<br />
<br />
- He lives with sseraj. <br />
<br />
- He is often overfed (with probability <math>\frac{3972}{7891}</math>), or malnourished (with probability <math>\frac{3919}{7891}</math>) by sseraj.<br />
<br />
- He has <cmath>\sum_{k=0}^1 (k+1)(k+2)+5</cmath> supercars, excluding the Purrari.<br />
<br />
- He is an employee of AoPS.<br />
<br />
- He is a gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
- Actually, he is a cat. He said so. And science also says so. <br />
<br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
- His favorite food is AoPS textbooks, because they help him digest problems.<br />
<br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
- Gmaas sightings are not very common. There have only been 8 confirmed sightings of Gmaas in the wild.<br />
<br />
- Gmaas is a sage omniscient cat.<br />
<br />
- He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
- Places where gmaas sightings have happened: <br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
~Alligator Swamp A 1072 <br />
~Alligator Swamp B 1073<br />
~Introduction to Algebra A (1170)<br />
~Welcome to Panda Town Gate 1076<br />
~Welcome to Gmaas Town Gate 1221<br />
~Welcome to Gmaas Town Gate 1125<br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
~The other side of the ice in Antarctica<br />
~Feisty Alligator Swamp 1115<br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
~Introduction to Counting and Probability 1142 <br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Counting and Probability 1207<br />
~Posting student surveys<br />
~USF Castle Walls 1203<br />
~Dark Lord's Hut 1210<br />
~AMC 10 Problem Series 1200<br />
~Intermediate Number Theory 1138<br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
~Algebra B 1112<br />
~33°81'199.4"N 167°05'45.1"W (Unknown location, please try again later)<br />
~Ocelot Rainforest 1111<br />
~Intermediate Counting and Probability 1137 <br />
~Intermediate Number Theory 1138 (AGAIN)<br />
~AMC 10 Problem Series 1200 (AGAIN)<br />
~Cat Gathering #339 1222<br />
~Cat Gathering #312 1535<br />
~Introduction to Geometry (1190)<br />
~Hogwarts Introduction to Transfiguration (...16168)<br />
~Cat Meow Meow Purr 1110<br />
~Bilbo's Hobbit Hole 1234<br />
~http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx<br />
~Pre-Algebra 1 with sseraj 1164. (Year: 2015) (gmaas code: 6666)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Number Theory 1229 (AGAIN)<br />
~Calculus 1226<br />
~Gallifrey Meeting #123456, 1888.<br />
<br />
- These have all been designated as the most glorious sections of Aopsland now (except the USF castle walls), but deforestation threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
- Gmaas has randomly been known to have sent his minions into Prealgebra 2 1163. However, the danger is passed, that class is over.<br />
<br />
- Gmaas also has randomly appeared on top of the USF's Tribal Bases(he seems to prefer the Void Tribe). However, the next day there is normally a puddle in the shape of a cat's underbelly wherever he was sighted. Nobody knows what this does.<br />
<br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
EDIT: The above disguises are rare for a Gmaas, except the cat.<br />
<br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
EDIT: He IS an AoPS site admin.<br />
<br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
- Is this the real life? Is this just fantasy? No. This is gmaas, the legend.<br />
<br />
- Gmaas might have been viewing (with a <math>\frac{99.999}{100}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Vu.<br />
<br />
- Gmaas is on the list of "Elusive Creatures." If you have questions, or want the full list, contact moab33.<br />
<br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
<br />
- Gmaas's left eye contains the singularity. (Only when everyone in the world blinks at the same time.)<br />
<br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure, as Kendra sprinkled holly into his fur.<br />
<br />
- The original owner of Gmaas is gmaas.<br />
<br />
- Gmaas was not the fourth Peverell brother, but he ascended into higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.)<br />
<br />
- It is suspected that Gmaas may be ordering his cyberhairballs to take the forums, along with microbots.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mu.<br />
<br />
- Gmaas rarely frequents the headquarters of the Illuminati. He is their symbol. Or he was, for one yoctosecond.<br />
<br />
- It has been wondered if gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
- It has been confirmed that gmaas uses gmaal as his email service<br />
<br />
- Gmaas enjoys wearing gmean shorts<br />
<br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. <br />
<br />
- Gmaas is well known behind his stage name, Michal Stevens (also known as Vsaace XD), or his page name, Purrshanks.<br />
<br />
- Gmass rekt sseraj at 12:54 june 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
- Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
- Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seem the Dark Lord's hut knows that both gmaas and the DL (USF code name of the Dark Lord) love BBC. How gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
- The TV which was given to the DL was destroyed when the hut was raided by a group of hardcore USFers who did not want modern technology in their age, quote, "We beg gmaas' pardon, but such technology in an age of swords, bows, and magic is rather disturbing." The raiders were astonished to find the TV whole and running when they next returned in a full-scale attack, and have not touched it since.<br />
<br />
- Gmaas is a Super Duper Uper Cat Time Lord. He has 57843504 regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2\cdot267794=57843504</cmath>. <br />
<br />
- Gmaas loves to eat turnips. At <math>\frac{13}{32}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
- Gmaas has two tails, one for everyday life, and one for special occasions<br />
<br />
=== gmaas in Popular Culture ===<br />
<br />
- Currently, [https://docs.google.com/document/d/1mLa2d_9Qgv4C9cZdThyjA6kSf2ULgwvkVjPVqmsoV2w/edit a book] is being written (by JpusheenS) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".<br />
<br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
- Sullymath is also writing a book about Gmaas<br />
<br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=2016_AMC_8_Problems/Problem_7&diff=816872016 AMC 8 Problems/Problem 72016-11-28T01:29:29Z<p>Moab33: /* Solution */</p>
<hr />
<div>Which of the following numbers is not a perfect square?<br />
<br />
<math>\textbf{(A) }1^{2016}\qquad\textbf{(B) }2^{2017}\qquad\textbf{(C) }3^{2018}\qquad\textbf{(D) }4^{2019}\qquad \textbf{(E) }5^{2020}</math><br />
<br />
==Solution==<br />
We know that our answer must have an odd exponent in order for it to not be a square. Because <math>4</math> is a perfect square, <math>4^{2019}</math> is also a perfect square, so our answer must be <math>\boxed{\textbf{(B) }2^{2017}}</math>.<br />
<br />
{{AMC8 box|year=2016|num-b=6|num-a=8}}<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=2016_AMC_8_Problems/Problem_7&diff=816832016 AMC 8 Problems/Problem 72016-11-28T00:07:01Z<p>Moab33: /* Solution */</p>
<hr />
<div>Which of the following numbers is not a perfect square?<br />
<br />
<math>\textbf{(A) }1^{2016}\qquad\textbf{(B) }2^{2017}\qquad\textbf{(C) }3^{2018}\qquad\textbf{(D) }4^{2019}\qquad \textbf{(E) }5^{2020}</math><br />
<br />
==Solution==<br />
We know that our answer must have an odd exponent in order for it to not be a square. Because <math>4</math> is a perfect square, <math>4^{2019}</math> is not prime, so our answer must be <math>\boxed{\textbf{(B) }2^{2017}}</math>.<br />
<br />
{{AMC8 box|year=2016|num-b=6|num-a=8}}<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1999_AMC_8_Problems/Problem_18&diff=808971999 AMC 8 Problems/Problem 182016-10-31T23:57:17Z<p>Moab33: Undo revision 80834 by Alxz (talk)</p>
<hr />
<div>==Problem==<br />
<br />
At Central Middle School the 108 students who take the AMC8 meet in the evening to talk about problems and eat an average of two cookies apiece. Walter and Gretel are baking Bonnie's Best Bar Cookies this year. Their recipe, which makes a pan of 15 cookies, lists this items: <math>1\frac{1}{2}</math> cups flour, <math>2</math> eggs, <math>3</math> tablespoons butter, <math>\frac{3}{4}</math> cups sugar, and <math>1</math> package of chocolate drops. They will make only full recipes, not partial recipes.<br />
<br />
They learn that a big concert is scheduled for the same night and attendance will be down 25%. How many recipes of cookies should they make for their smaller party?<br />
<br />
<math>\text{(A)}\ 6 \qquad \text{(B)}\ 8 \qquad \text{(C)}\ 9 \qquad \text{(D)}\ 10 \qquad \text{(E)}\ 11</math><br />
<br />
==Solution==<br />
===Solution 1===<br />
<br />
If <math>108</math> students eat <math>2</math> cookies on average, there will need to be <math>108\cdot 2 = 216</math> cookies. But with the smaller attendance, you will only need <math>100\% - 25\% = 75\%</math> of these cookies, or <math>75\% \cdot 216 = 0.75\cdot 216 = 162</math> cookies.<br />
<br />
<math>162</math> cookies requires <math>\frac{162}{15} = 10.8</math> batches. However, since half-batches are forbidden, we must round up to get <math>\lceil \frac{162}{15} \rceil = 11</math> batches, and the correct answer is <math>\boxed{E}</math>.<br />
<br />
===Solution 2===<br />
<br />
If there were <math>108</math> students before, with the <math>25\%</math> of students missing, there will be <math>75\%</math> of <math>108</math> students left. This is <math>75\% \cdot 108 = 0.75 \cdot 108 = 81</math> students. These students eat <math>81 \cdot 2 = 162</math> cookies. Follow the logic of the second paragraph above to find that there needs to be <math>11</math> batches, and the correct answer is <math>\boxed{E}</math>.<br />
<br />
==See Also==<br />
{{AMC8 box|year=1999|num-b=17|num-a=19}}<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1998_AJHSME_Problems/Problem_16&diff=808961998 AJHSME Problems/Problem 162016-10-31T23:56:40Z<p>Moab33: Undo revision 80833 by Alxz (talk)</p>
<hr />
<div>==Don't Crowd the Isles==<br />
<br />
Problems 15, 16, and 17 all refer to the following:<br />
<br />
<center><br />
In the very center of the Irenic Sea lie the beautiful Nisos Isles. In 1998 the number of people on these islands is only 200, but the population triples every 25 years. Queen Irene has decreed that there must be at least 1.5 square miles for every person living in the Isles. The total area of the Nisos Isles is 24,900 square miles.<br />
</center><br />
<br />
<br />
===Problem 16===<br />
<br />
Estimate the year in which the population of Nisos will be approximately 6,000.<br />
<br />
<math>\text{(A)}\ 2050 \qquad \text{(B)}\ 2075 \qquad \text{(C)}\ 2100 \qquad \text{(D)}\ 2125 \qquad \text{(E)}\ 2150</math><br />
<br />
==Solution==<br />
===Solution 1===<br />
<br />
We could triple the population every <math>25</math> years and make a chart:<br />
<br />
Year: 2000<br />
Population: 200<br />
<br />
Year: 2025<br />
Population: 600<br />
<br />
Year: 2050<br />
Population: 1800<br />
<br />
Year: 2075<br />
Population: 5400<br />
<br />
Year: 2100<br />
Population: 16200<br />
<br />
The closest year is 2075, or <math>\boxed{B}</math><br />
<br />
===Solution 2===<br />
<br />
We could find out how many periods of 25 years we need to triple by dividing our total from our present number.<br />
<br />
<math>\frac{6000}{200}=30</math><br />
<br />
The power of <math>3</math> that <math>30</math> is closest to is <math>27=3^3</math><br />
<br />
Therefore, after <math>3</math> periods, we will be closest to <math>6000</math>.<br />
<br />
<math>\boxed{B}</math><br />
<br />
<br />
== See also ==<br />
{{AJHSME box|year=1998|num-b=15|num-a=17}}<br />
* [[AJHSME]]<br />
* [[AJHSME Problems and Solutions]]<br />
* [[Mathematics competition resources]]<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1998_AJHSME_Problems/Problem_23&diff=808951998 AJHSME Problems/Problem 232016-10-31T23:54:01Z<p>Moab33: Undo revision 80798 by Alxz (talk)</p>
<hr />
<div>==Problem==<br />
If the pattern in the diagram continues, what fraction of the interior would be shaded in the eighth triangle?<br />
<br />
<asy><br />
unitsize(10);<br />
draw((0,0)--(12,0)--(6,6sqrt(3))--cycle);<br />
<br />
draw((15,0)--(27,0)--(21,6sqrt(3))--cycle);<br />
fill((21,0)--(18,3sqrt(3))--(24,3sqrt(3))--cycle,black);<br />
<br />
draw((30,0)--(42,0)--(36,6sqrt(3))--cycle);<br />
fill((34,0)--(32,2sqrt(3))--(36,2sqrt(3))--cycle,black);<br />
fill((38,0)--(36,2sqrt(3))--(40,2sqrt(3))--cycle,black);<br />
fill((36,2sqrt(3))--(34,4sqrt(3))--(38,4sqrt(3))--cycle,black);<br />
<br />
draw((45,0)--(57,0)--(51,6sqrt(3))--cycle);<br />
fill((48,0)--(46.5,1.5sqrt(3))--(49.5,1.5sqrt(3))--cycle,black);<br />
fill((51,0)--(49.5,1.5sqrt(3))--(52.5,1.5sqrt(3))--cycle,black);<br />
fill((54,0)--(52.5,1.5sqrt(3))--(55.5,1.5sqrt(3))--cycle,black);<br />
fill((49.5,1.5sqrt(3))--(48,3sqrt(3))--(51,3sqrt(3))--cycle,black);<br />
fill((52.5,1.5sqrt(3))--(51,3sqrt(3))--(54,3sqrt(3))--cycle,black);<br />
fill((51,3sqrt(3))--(49.5,4.5sqrt(3))--(52.5,4.5sqrt(3))--cycle,black);<br />
</asy><br />
<br />
<br />
<math> \text{(A)}\ \frac{3}{8}\qquad\text{(B)}\ \frac{5}{27}\qquad\text{(C)}\ \frac{7}{16}\qquad\text{(D)}\ \frac{9}{16}\qquad\text{(E)}\ \frac{11}{45} </math><br />
<br />
==Solution==<br />
<br />
All small triangles are congruent in each iteration of the diagram. The number of shaded triangles follows the pattern:<br />
<br />
<math>0, 1, 3, 6, ...</math><br />
<br />
which is the pattern of "triangular numbers". Each time, the number <math>1, 2, 3, 4, 5...</math> is added to the previous term. Thus, the first eight terms are:<br />
<br />
<math>0, 1, 3, 6, 10, 15, 21, 28</math><br />
<br />
In the eighth diagram, there will be <math>28</math> shaded triangles.<br />
<br />
The total number of small triangles follows the pattern:<br />
<br />
<math>1, 4, 9, 16, ...</math><br />
<br />
which is the pattern of "square numbers". Thus, the eighth triangle will be divided into <math>8^2 = 64</math> small triangles in total.<br />
<br />
The ratio of shaded to total triangles will be the fraction of the whole figure that's shaded, since all triangles are congruent. Thus, the answer is <math>\frac{28}{64} = \frac{7}{16}</math>, and the correct choice is <math>\boxed{C}</math><br />
<br />
== See also ==<br />
{{AJHSME box|year=1998|num-b=22|num-a=24}}<br />
* [[AJHSME]]<br />
* [[AJHSME Problems and Solutions]]<br />
* [[Mathematics competition resources]]<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1998_AJHSME_Problems/Problem_23&diff=808941998 AJHSME Problems/Problem 232016-10-31T23:53:44Z<p>Moab33: What??</p>
<hr />
<div>==Yi ga BABA GUO FEN LA!==<br />
If the pattern in the diagram continues, what fraction of the interior would be shaded in the eighth triangle?<br />
<br />
<asy><br />
unitsize(10);<br />
draw((0,0)--(12,0)--(6,6sqrt(3))--cycle);<br />
<br />
draw((15,0)--(27,0)--(21,6sqrt(3))--cycle);<br />
fill((21,0)--(18,3sqrt(3))--(24,3sqrt(3))--cycle,black);<br />
<br />
draw((30,0)--(42,0)--(36,6sqrt(3))--cycle);<br />
fill((34,0)--(32,2sqrt(3))--(36,2sqrt(3))--cycle,black);<br />
fill((38,0)--(36,2sqrt(3))--(40,2sqrt(3))--cycle,black);<br />
fill((36,2sqrt(3))--(34,4sqrt(3))--(38,4sqrt(3))--cycle,black);<br />
<br />
draw((45,0)--(57,0)--(51,6sqrt(3))--cycle);<br />
fill((48,0)--(46.5,1.5sqrt(3))--(49.5,1.5sqrt(3))--cycle,black);<br />
fill((51,0)--(49.5,1.5sqrt(3))--(52.5,1.5sqrt(3))--cycle,black);<br />
fill((54,0)--(52.5,1.5sqrt(3))--(55.5,1.5sqrt(3))--cycle,black);<br />
fill((49.5,1.5sqrt(3))--(48,3sqrt(3))--(51,3sqrt(3))--cycle,black);<br />
fill((52.5,1.5sqrt(3))--(51,3sqrt(3))--(54,3sqrt(3))--cycle,black);<br />
fill((51,3sqrt(3))--(49.5,4.5sqrt(3))--(52.5,4.5sqrt(3))--cycle,black);<br />
</asy><br />
<br />
<br />
<math> \text{(A)}\ \frac{3}{8}\qquad\text{(B)}\ \frac{5}{27}\qquad\text{(C)}\ \frac{7}{16}\qquad\text{(D)}\ \frac{9}{16}\qquad\text{(E)}\ \frac{11}{45} </math><br />
<br />
==Solution==<br />
<br />
All small triangles are congruent in each iteration of the diagram. The number of shaded triangles follows the pattern:<br />
<br />
<math>0, 1, 3, 6, ...</math><br />
<br />
which is the pattern of "triangular numbers". Each time, the number <math>1, 2, 3, 4, 5...</math> is added to the previous term. Thus, the first eight terms are:<br />
<br />
<math>0, 1, 3, 6, 10, 15, 21, 28</math><br />
<br />
In the eighth diagram, there will be <math>28</math> shaded triangles.<br />
<br />
The total number of small triangles follows the pattern:<br />
<br />
<math>1, 4, 9, 16, ...</math><br />
<br />
which is the pattern of "square numbers". Thus, the eighth triangle will be divided into <math>8^2 = 64</math> small triangles in total.<br />
<br />
The ratio of shaded to total triangles will be the fraction of the whole figure that's shaded, since all triangles are congruent. Thus, the answer is <math>\frac{28}{64} = \frac{7}{16}</math>, and the correct choice is <math>\boxed{C}</math><br />
<br />
== See also ==<br />
{{AJHSME box|year=1998|num-b=22|num-a=24}}<br />
* [[AJHSME]]<br />
* [[AJHSME Problems and Solutions]]<br />
* [[Mathematics competition resources]]<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1998_AJHSME_Problems/Problem_19&diff=808931998 AJHSME Problems/Problem 192016-10-31T23:53:04Z<p>Moab33: </p>
<hr />
<div>==Problem==<br />
<br />
Tamika selects two different numbers at random from the set <math>\{ 8,9,10 \}</math> and adds them. Carlos takes two different numbers at random from the set <math>\{3, 5, 6\}</math> and multiplies them. What is the probability that Tamika's result is greater than Carlos' result?<br />
<br />
<math>\text{(A)}\ \dfrac{4}{9} \qquad \text{(B)}\ \dfrac{5}{9} \qquad \text{(C)}\ \dfrac{1}{2} \qquad \text{(D)}\ \dfrac{1}{3} \qquad \text{(E)}\ \dfrac{2}{3}</math><br />
<br />
==Solution==<br />
<br />
The different possible (and equally likely) values Tamika gets are:<br />
<br />
<math>8+9=17</math><br />
<br />
<math>8+10=18</math><br />
<br />
<math>9+10=19</math><br />
<br />
The different possible (and equally likely) values Carlos gets are:<br />
<br />
<math>3\times5=15</math><br />
<br />
<math>3\times6=18</math><br />
<br />
<math>5\times6=30</math><br />
<br />
The probability that if Tamika had the sum <math>17</math> her sum would be greater than Carlos's set is <math>\frac{1}{3}</math>, because <math>17</math> is only greater than <math>15</math><br />
<br />
The probability that if Tamika had the sum <math>18</math> her sum would be greater than Carlos's set is <math>\frac{1}{3}</math>, because <math>18</math> is only greater than <math>15</math><br />
<br />
The probability that if Tamika had the sum <math>19</math> her sum would be greater than Carlos's set is <math>\frac{2}{3}</math>, because <math>19</math> is greater than both <math>15</math> and <math>18</math><br />
<br />
Each sum has a <math>\frac{1}{3}</math> possibility of being chosen, so we have<br />
<br />
<math>\frac{1}{3}\left(\frac{1}{3}+\frac{1}{3}+\frac{2}{3}\right)=\frac{1}{3}\left(\frac{4}{3}\right)=\frac{4}{9}=\boxed{A}</math><br />
<br />
== See also ==<br />
{{AJHSME box|year=1998|num-b=18|num-a=20}}<br />
* [[AJHSME]]<br />
* [[AJHSME Problems and Solutions]]<br />
* [[Mathematics competition resources]]<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1998_AJHSME_Problems/Problem_19&diff=808921998 AJHSME Problems/Problem 192016-10-31T23:52:33Z<p>Moab33: Papa?</p>
<hr />
<div>==Problem==<br />
<br />
Tamika selects two different numbers at random from the set <math>\{ 8,9,10 \}</math> and adds them. Carlos takes two different numbers at random from the set <math>\{3, 5, 6\}</math> and multiplies them. What is the probability that Tamika's result is greater than Carlos' result?<br />
<br />
<math>\text{(A)}\ \dfrac{4}{9} \qquad \text{(B)}\ \dfrac{5}{9} \qquad \text{(C)}\ \dfrac{1}{2} \qquad \text{(D)}\ \dfrac{1}{3} \qquad \text{(E)}\ \dfrac{2}{3}</math><br />
<br />
==Solution==<br />
<br />
The different possible (and equally likely) values Papa gets are:<br />
<br />
<math>8+9=17</math><br />
<br />
<math>8+10=18</math><br />
<br />
<math>9+10=19</math><br />
<br />
The different possible (and equally likely) values Carlos gets are:<br />
<br />
<math>3\times5=15</math><br />
<br />
<math>3\times6=18</math><br />
<br />
<math>5\times6=30</math><br />
<br />
The probability that if Tamika had the sum <math>17</math> her sum would be greater than Carlos's set is <math>\frac{1}{3}</math>, because <math>17</math> is only greater than <math>15</math><br />
<br />
The probability that if Tamika had the sum <math>18</math> her sum would be greater than Carlos's set is <math>\frac{1}{3}</math>, because <math>18</math> is only greater than <math>15</math><br />
<br />
The probability that if Tamika had the sum <math>19</math> her sum would be greater than Carlos's set is <math>\frac{2}{3}</math>, because <math>19</math> is greater than both <math>15</math> and <math>18</math><br />
<br />
Each sum has a <math>\frac{1}{3}</math> possibility of being chosen, so we have<br />
<br />
<math>\frac{1}{3}\left(\frac{1}{3}+\frac{1}{3}+\frac{2}{3}\right)=\frac{1}{3}\left(\frac{4}{3}\right)=\frac{4}{9}=\boxed{A}</math><br />
<br />
== See also ==<br />
{{AJHSME box|year=1998|num-b=18|num-a=20}}<br />
* [[AJHSME]]<br />
* [[AJHSME Problems and Solutions]]<br />
* [[Mathematics competition resources]]<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1998_AJHSME_Problems/Problem_17&diff=808911998 AJHSME Problems/Problem 172016-10-31T23:51:51Z<p>Moab33: Undo revision 80794 by Alxz (talk)</p>
<hr />
<div>==Don't Crowd the Isles==<br />
<br />
Problems 15, 16, and 17 all refer to the following:<br />
<br />
<center><br />
In the very center of the Irenic Sea lie the beautiful Nisos Isles. In 1998 the number of people on these islands is only 200, but the population triples every 25 years. Queen Irene has decreed that there must be at least 1.5 square miles for every person living in the Isles. The total area of the Nisos Isles is 24,900 square miles.<br />
</center><br />
<br />
===Problem 17===<br />
<br />
In how many years, approximately, from 1998 will the population of Nisos be as much as Queen Irene has proclaimed that the islands can support?<br />
<br />
<math>\text{(A)}\ 50\text{ yrs.} \qquad \text{(B)}\ 75\text{ yrs.} \qquad \text{(C)}\ 100\text{ yrs.} \qquad \text{(D)}\ 125\text{ yrs.} \qquad \text{(E)}\ 150\text{ yrs.}</math><br />
<br />
==Solution==<br />
<br />
We can divide the total area by how much will be occupied per person:<br />
<br />
<math>\frac{24900 \text{ acres}}{1.5 \text{ acres per person}}=16600 \text{ people}</math> can stay on the island at its maximum capacity.<br />
<br />
We can divide this by the current population the island in the year <math>1998</math> to see by what factor the population increases:<br />
<br />
<math>\frac{16600}{200}=83</math>-fold increase in population.<br />
<br />
Thus, the population increases by a factor <math>83</math>. This is very close to <math>3 \times 3 \times 3 \times 3 = 81</math>, and so there are about <math>4</math> triplings of the island's population.<br />
<br />
It takes <math>4\times25=100=\boxed{C}</math> years to triple the island's population four times in succession.<br />
<br />
== See also ==<br />
{{AJHSME box|year=1998|num-b=16|num-a=18}}<br />
* [[AJHSME]]<br />
* [[AJHSME Problems and Solutions]]<br />
* [[Mathematics competition resources]]<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1998_AJHSME_Problems/Problem_1&diff=808901998 AJHSME Problems/Problem 12016-10-31T23:51:31Z<p>Moab33: Undo revision 80806 by Alxz (talk)</p>
<hr />
<div>==Problem==<br />
<br />
For <math>x=7</math>, which of the following is the smallest?<br />
<br />
<math>\text{(A)}\ \dfrac{6}{x} \qquad \text{(B)}\ \dfrac{6}{x+1} \qquad \text{(C)}\ \dfrac{6}{x-1} \qquad \text{(D)}\ \dfrac{x}{6} \qquad \text{(E)}\ \dfrac{x+1}{6}</math><br />
<br />
==Solution==<br />
===Solution 1===<br />
<br />
The smallest fraction would be in the form <math>\frac{a}{b}</math> where <math>b</math> is larger than <math>a</math>.<br />
<br />
In this problem, we would need the largest possible value out of all the given values to be in the denominator. This value is <math>x+1</math> or <math>8</math><br />
<br />
The smaller would go on the numerator, which is <math>6</math>.<br />
<br />
The answer choice with <math>\frac{6}{x+1}</math> is <math>\boxed{B}</math><br />
<br />
===Solution 2===<br />
<br />
Plugging <math>x</math> in for every answer choice would give<br />
<br />
<math>\text{(A)}\ \dfrac{6}{7} \qquad \text{(B)}\ \dfrac{6}{8} \qquad \text{(C)}\ \dfrac{6}{6} \qquad \text{(D)}\ \dfrac{7}{6} \qquad \text{(E)}\ \dfrac{8}{6}</math><br />
<br />
From here, we can see that the smallest is answer choice <math>\boxed{B}</math><br />
<br />
== See also ==<br />
{{AJHSME box|year=1998|before=First question|num-a=2}}<br />
* [[AJHSME]]<br />
* [[AJHSME Problems and Solutions]]<br />
* [[Mathematics competition resources]]<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1998_AJHSME_Problems/Problem_18&diff=808891998 AJHSME Problems/Problem 182016-10-31T23:50:51Z<p>Moab33: Removing a troll</p>
<hr />
<div>==Problem==<br />
<br />
As indicated by the diagram below, a rectangular piece of paper is folded bottom to top, then left to right, and finally, a hole is punched at X. What does the paper look like when unfolded?<br />
<br />
<asy><br />
draw((2,0)--(2,1)--(4,1)--(4,0)--cycle);<br />
draw(circle((2.25,.75),.225));<br />
draw((2.05,.95)--(2.45,.55));<br />
draw((2.45,.95)--(2.05,.55));<br />
<br />
draw((0,2)--(4,2)--(4,3)--(0,3)--cycle);<br />
draw((2,2)--(2,3),dashed);<br />
draw((1.3,2.1)..(2,2.3)..(2.7,2.1),EndArrow);<br />
draw((1.3,3.1)..(2,3.3)..(2.7,3.1),EndArrow);<br />
<br />
draw((0,4)--(4,4)--(4,6)--(0,6)--cycle);<br />
draw((0,5)--(4,5),dashed);<br />
draw((-.1,4.3)..(-.3,5)..(-.1,5.7),EndArrow);<br />
draw((3.9,4.3)..(3.7,5)..(3.9,5.7),EndArrow);<br />
</asy><br />
<br />
<br /> <br /><br />
<br />
<asy><br />
unitsize(5);<br />
draw((0,0)--(16,0)--(16,8)--(0,8)--cycle);<br />
draw((0,4)--(16,4),dashed);<br />
draw((8,0)--(8,8),dashed);<br />
draw(circle((1,3),.9));<br />
draw(circle((7,7),.9));<br />
draw(circle((15,5),.9));<br />
draw(circle((9,1),.9));<br />
<br />
draw((24,0)--(40,0)--(40,8)--(24,8)--cycle);<br />
draw((24,4)--(40,4),dashed);<br />
draw((32,0)--(32,8),dashed);<br />
draw(circle((31,1),.9));<br />
draw(circle((33,1),.9));<br />
draw(circle((31,7),.9));<br />
draw(circle((33,7),.9));<br />
<br />
draw((48,0)--(64,0)--(64,8)--(48,8)--cycle);<br />
draw((48,4)--(64,4),dashed);<br />
draw((56,0)--(56,8),dashed);<br />
draw(circle((49,1),.9));<br />
draw(circle((49,7),.9));<br />
draw(circle((63,1),.9));<br />
draw(circle((63,7),.9));<br />
<br />
draw((72,0)--(88,0)--(88,8)--(72,8)--cycle);<br />
draw((72,4)--(88,4),dashed);<br />
draw((80,0)--(80,8),dashed);<br />
draw(circle((79,3),.9));<br />
draw(circle((79,5),.9));<br />
draw(circle((81,3),.9));<br />
draw(circle((81,5),.9));<br />
<br />
draw((96,0)--(112,0)--(112,8)--(96,8)--cycle);<br />
draw((96,4)--(112,4),dashed);<br />
draw((104,0)--(104,8),dashed);<br />
draw(circle((97,3),.9));<br />
draw(circle((97,5),.9));<br />
draw(circle((111,3),.9));<br />
draw(circle((111,5),.9));<br />
<br />
label("(A)",(8,10),N);<br />
label("(B)",(32,10),N);<br />
label("(C)",(56,10),N);<br />
label("(D)",(80,10),N);<br />
label("(E)",(104,10),N);<br />
</asy><br />
<br />
==Solution==<br />
===Solution 1===<br />
<br />
By reversing the folds, we find that the holes will be<br />
<br />
1) In the middle (in relation from left to right)<br />
<br />
2) At separating poles (up and down)<br />
<br />
This is pictured in <math>\boxed{D}</math><br />
<br />
===Solution 2===<br />
<br />
If you unfold the paper, the hole you punched will not move. The only answer that keeps the hole in the upper-right quadrant in the same place is <math>\boxed{Z}</math>.<br />
<br />
== See also ==<br />
{{AJHSME box|year=1998|num-b=17|num-a=19}}<br />
* [[AJHSME]]<br />
* [[AJHSME Problems and Solutions]]<br />
* [[Mathematics competition resources]]<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1997_AJHSME_Problems/Problem_18&diff=808881997 AJHSME Problems/Problem 182016-10-31T23:49:47Z<p>Moab33: Undo revision 80789 by Alxz (talk)</p>
<hr />
<div>==Problem==<br />
<br />
At the grocery store last week, small boxes of facial tissue were priced at 4 boxes for <math>\$5</math>. This week they are on sale at 5 boxes for <math>\$4</math>. The percent decrease in the price per box during the sale was closest to<br />
<br />
<math>\text{(A)}\ 30\% \qquad \text{(B)}\ 35\% \qquad \text{(C)}\ 40\% \qquad \text{(D)}\ 45\% \qquad \text{(E)}\ 65\%</math><br />
<br />
==Solution==<br />
<br />
Last week, each box was <math>\frac{5}{4} = 1.25</math><br />
<br />
This week, each box is <math>\frac{4}{5} = 0.80</math><br />
<br />
Percent decrease is given by <math>\frac{X_{old} - X_{new}}{X_{old}} \cdot 100\%</math><br />
<br />
This, the percent decrease is <math>\frac{1.25 - 0.8}{1.25}\cdot 100\% = \frac{45}{125} \cdot 100\% = 36\%</math>, which is closest to <math>\boxed{B}</math><br />
<br />
== See also ==<br />
{{AJHSME box|year=1997|num-b=17|num-a=19}}<br />
* [[AJHSME]]<br />
* [[AJHSME Problems and Solutions]]<br />
* [[Mathematics competition resources]]<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1998_AJHSME_Problems/Problem_15&diff=808871998 AJHSME Problems/Problem 152016-10-31T23:48:52Z<p>Moab33: What troll? What bug?</p>
<hr />
<div>==Don't Crowd the Isles==<br />
<br />
Problems 15, 16, and 17 all refer to the following:<br />
<br />
<center><br />
In the very center of the Irenic Sea lie the beautiful Nisos Isles. In 1998 the number of people on these islands is only 200, but the population triples every 25 years. Queen Irene has decreed that there must be at least 1.5 square miles for every person living in the Isles. The total area of the Nisos Isles is 24,900 square miles.<br />
</center><br />
<br />
===Problem 15===<br />
<br />
Estimate the population of Nisos in the year 2050.<br />
<br />
<math>\text{(A)}\ 600 \qquad \text{(B)}\ 800 \qquad \text{(C)}\ 1000 \qquad \text{(D)}\ 2000 \qquad \text{(E)}\ 3000</math><br />
<br />
==Solution==<br />
<br />
The population triples every <math>25</math> years from <math>200</math>, and there are <math>50</math> years between <math>2000</math> and <math>2050</math>, so we will have <math>200\times3=600\times3=1800</math>.<br />
<br />
This is an underestimate, since there are actually <math>2</math> more years for the island's population to grow.<br />
<br />
Therefore, <math>1800</math> can be rounded to <math>2000=\boxed{D}</math><br />
<br />
== See also ==<br />
{{AJHSME box|year=1998|num-b=14|num-a=16}}<br />
* [[AJHSME]]<br />
* [[AJHSME Problems and Solutions]]<br />
* [[Mathematics competition resources]]<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1999_AMC_8_Problems/Problem_25&diff=808861999 AMC 8 Problems/Problem 252016-10-31T20:41:28Z<p>Moab33: Undo revision 80848 by Alxz (talk)</p>
<hr />
<div>==Problem==<br />
<br />
Points <math>B</math>, <math>D</math>, and <math>J</math> are midpoints of the sides of right triangle <math>ACG</math>. Points <math>K</math>, <math>E</math>, <math>I</math> are midpoints of the sides of triangle <math>JDG</math>, etc. If the dividing and shading process is done 100 times (the first three are shown) and <math>AC=CG=6</math>, then the total area of the shaded triangles is nearest<br />
<br />
<asy><br />
draw((0,0)--(6,0)--(6,6)--cycle);<br />
draw((3,0)--(3,3)--(6,3));<br />
draw((4.5,3)--(4.5,4.5)--(6,4.5));<br />
draw((5.25,4.5)--(5.25,5.25)--(6,5.25));<br />
fill((3,0)--(6,0)--(6,3)--cycle,black);<br />
fill((4.5,3)--(6,3)--(6,4.5)--cycle,black);<br />
fill((5.25,4.5)--(6,4.5)--(6,5.25)--cycle,black);<br />
<br />
label("$A$",(0,0),SW);<br />
label("$B$",(3,0),S);<br />
label("$C$",(6,0),SE);<br />
label("$D$",(6,3),E);<br />
label("$E$",(6,4.5),E);<br />
label("$F$",(6,5.25),E);<br />
label("$G$",(6,6),NE);<br />
label("$H$",(5.25,5.25),NW);<br />
label("$I$",(4.5,4.5),NW);<br />
label("$J$",(3,3),NW);<br />
label("$K$",(4.5,3),S);<br />
label("$L$",(5.25,4.5),S);<br />
</asy><br />
<br />
<math>\text{(A)}\ 6 \qquad \text{(B)}\ 7 \qquad \text{(C)}\ 8 \qquad \text{(D)}\ 9 \qquad \text{(E)}\ 10</math><br />
<br />
==Solution==<br />
===Solution 1===<br />
<br />
Since <math>\triangle FGH</math> is fairly small relative to the rest of the diagram, we can make an underestimate by using the current diagram. All triangles are right-isosceles triangles.<br />
<br />
<math>CD = \frac {CG}{2} = 3, DE = \frac{CD}{2} = \frac{3}{2}, EF = \frac{DE}{2} = \frac{3}{4}</math><br />
<br />
<math>CB = CD = 3, DK = DE = \frac{3}{2}, EL = EF = \frac{3}{4}</math><br />
<br />
<math>[CBD] = \frac{1}{2}3^2 = \frac{9}{2}</math><br />
<br />
<math>[DKE] = \frac{1}{2}(\frac{3}{2})^2 = \frac{9}{8}</math><br />
<br />
<math>[ELF] = \frac{1}{2}(\frac{3}{4})^2 = \frac{9}{32}</math><br />
<br />
The sum of the shaded regions is <math>\frac{9}{2} + \frac{9}{8} + \frac{9}{32} = \frac{189}{32} \approx 5.9</math><br />
<br />
<math>5.9</math> is an underestimate, as some portion (but not all) of <math>\triangle FGH</math> will be shaded in future iterations. <br />
<br />
If you shade all of <math>\triangle FGH</math>, this will add an additional <math>\frac{9}{32}</math> to the area, giving <math>\frac{198}{32} \approx 6.2</math>, which is an overestimate.<br />
<br />
Thus, <math>6 \rightarrow \boxed{A}</math> is the only answer that is both over the underestimate and under the overestimate.<br />
<br />
===Solution 2===<br />
<br />
In iteration <math>1</math>, congruent triangles <math>\triangle ABJ, \triangle BDJ,</math> and <math>\triangle BDC</math> are created, with one of them being shaded.<br />
<br />
In iteration <math>2</math>, three more congruent triangles are created, with one of them being shaded.<br />
<br />
As the process continues indefnitely, in each row, <math>\frac{1}{3}</math> of each triplet of new congruent triangles will be shaded. The "fourth triangle" at the top (<math>\triangle FGH</math> in the diagram) will gradually shrink, <br />
<br />
leaving about <math>\frac{1}{3}</math> of the area shaded. This means <math>\frac{1}{3}\left(\frac{1}{2}6\cdot 6\right) = 6</math> square units will be shaded when the process goes on indefinitely, giving <math>\boxed{A}</math>.<br />
<br />
===Solution 3===<br />
<br />
Using Solution 1 as a template, note that the sum of the areas forms a [[geometric series]]:<br />
<br />
<math>\frac{9}{2} + \frac{9}{8} + \frac{9}{32} + \frac{9}{128} + ...</math><br />
<br />
This is the sum of a geometric series with first term <math>a_1 = \frac{9}{2}</math> and common ratio <math>r = \frac{1}{4}</math><br />
<br />
The sum of an infinite geometric series with <math>|r|<1</math> is <math>S_{\infty} = \frac{a_1}{1 - r} = \frac{\frac{9}{2}}{1 - \frac{1}{4}} = \frac{9}{2}\cdot\frac{4}{3} = 6</math>, giving an answer of <math>\boxed{A}</math>.<br />
<br />
<br />
==See Also==<br />
<br />
{{AMC8 box|year=1999|num-b=24|after=Last Question}}<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1995_AJHSME_Problems/Problem_16&diff=807071995 AJHSME Problems/Problem 162016-10-20T16:04:13Z<p>Moab33: Undo revision 80706 by Moab33 (talk)</p>
<hr />
<div>==Problem==<br />
<br />
Students from three middle schools worked on a summer project.<br />
<br />
*Seven students from Allen school worked for <math>3</math> days.<br />
*Four students from Balboa school worked for <math>5</math> days.<br />
*Five students from Carver school worked for <math>9</math> days.<br />
<br />
The total amount paid for the students' work was <dollar><dollar>744. Assuming each student received the same amount for a day's work, how much did the students from Balboa school earn altogether?<br />
<br />
<math>\text{(A)}\ 9.00\text{ dollars} \qquad \text{(B)}\ 48.38\text{ dollars} \qquad \text{(C)}\ 180.00\text{ dollars} \qquad \text{(D)}\ 193.50\text{ dollars} \qquad \text{(E)}\ 258.00\text{ dollars}</math><br />
<br />
==Solution==<br />
Altogether, the summer project totaled <math>(7)(3)+(4)(5)+(5)(9)=21+20+45=86</math> days of work for a single student. This equals <math>744/86=9</math> dollars per day per student. The students from Balboa school earned <math>9(4)(5)=\boxed{\text{(C)}\ 180.00\ \text{dollars}}</math>.<br />
<br />
==See Also==<br />
{{AJHSME box|year=1995|num-b=15|num-a=17}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1995_AJHSME_Problems/Problem_16&diff=807061995 AJHSME Problems/Problem 162016-10-20T16:03:50Z<p>Moab33: Undo revision 80697 by Soccerpro101 (talk)</p>
<hr />
<div>==Problem==<br />
<br />
Students from three middle schools worked on a summer project.<br />
<br />
*Seven students from Allen school worked for <math>3</math> days.<br />
*Four students from Balboa school worked for <math>5</math> days.<br />
*Five students from Carver school worked for <math>9</math> days.<br />
<br />
The total amount paid for the students' work was <dollar><math>744. Assuming each student received the same amount for a day's work, how much did the students from Balboa school earn altogether?<br />
<br />
</math>\text{(A)}\ 9.00\text{ dollars} \qquad \text{(B)}\ 48.38\text{ dollars} \qquad \text{(C)}\ 180.00\text{ dollars} \qquad \text{(D)}\ 193.50\text{ dollars} \qquad \text{(E)}\ 258.00\text{ dollars}<math><br />
<br />
==Solution==<br />
Altogether, the summer project totaled </math>(7)(3)+(4)(5)+(5)(9)=21+20+45=86<math> days of work for a single student. This equals </math>744/86=9<math> dollars per day per student. The students from Balboa school earned </math>9(4)(5)=\boxed{\text{(C)}\ 180.00\ \text{dollars}}$.<br />
<br />
==See Also==<br />
{{AJHSME box|year=1995|num-b=15|num-a=17}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=Riemann_Hypothesis&diff=80705Riemann Hypothesis2016-10-20T16:01:13Z<p>Moab33: </p>
<hr />
<div>The '''Riemann Hypothesis''' is a famous [[conjecture]] in [[analytic number theory]] that states that all nontrivial [[root |zero]]s of the [[Riemann zeta function]] have [[real part]] <math>1/2</math>. From the [[functional equation]] for the zeta function, it is easy to see that <math>\zeta(s)=0</math> when <math>s=-2,-4,-6,\ldots</math>. These are called the trivial zeros. This hypothesis is one of the seven [http://www.claymath.org/millennium-problems/millennium-prize-problems millenium questions].<br />
<br />
The Riemann Hypothesis is an important problem in the study of [[prime number]]s. Let <math>\pi(x)</math> denote the number of primes less than or equal to ''x'', and let <math>\mathrm{Li}(x)=\int_2^x \frac{1}{\ln t}\; dt</math>. Then an equivalent statement of the Riemann hypothesis is that <math>\pi(x)=\mathrm{Li}(x)+O(x^{1/2}\ln(x))</math>.<br />
<br />
One fairly obvious method to prove the Riemann Hypothesis is to consider the [[reciprocal]] of the zeta function, <math>\frac{1}{\zeta(s)}{=}\sum_{n=1}^\infty \frac{\mu(n)}{n^s}</math>, where <math>\mu(n)</math> refers to the [[Möbius function]]. Then one might try to show that <math>\frac{1}{\zeta(s)}</math> admits an [[analytic continuation]] to <math>\Re(s)>\frac{1}{2}</math>. Let <math>M(n)=\sum_{i=1}^n \mu(i)</math> be the [[Mertens function]]. It is easy to show that if <math>M(n)\le\sqrt{n}</math> for sufficiently large <math>n</math>, then the Riemann Hypothesis would hold. The Riemann Hypothesis would also follow if <math>M(n)\le C\sqrt{n}</math> for any constant <math>C</math>.<br />
<br />
Some equivalent statements of the Riemann Hypothesis are<br />
* The zeta function has no zeros with real part between <math>\frac{1}{2}</math> and 1<br />
* <math>\zeta_a(s)</math> has all nontrivial zeros on the line <math>Re(s)=\frac{1}{2}</math><br />
* All nontrivial zeros of all [[L-series]] have real part one half where an L-series is of the form <math>\sum_{n=1}^\infty \frac{a_n}{n^s}</math>. This is the [[generalized]] Riemann Hypothesis because in the Riemann Hypothesis, <math>a_n</math> is 1 for all n<br />
* <math>|M(x)|\le cx^{1/2+\epsilon}</math> for a constant c and where <math>M(x)=\sum_{n\le x}\mu(n)</math><br />
<br />
* <math>\sigma(n) < e^\gamma n\ log_{log_n}</math> for all <math>n > 5040</math>. This being equivalent to the Riemann Hypothesis is Robin's Theorem, proved in 1984 by Guy Robin.<br />
<br />
==Links==<br />
<br />
[http://www.dtc.umn.edu/~odlyzko/doc/arch/mertens.disproof.pdf Purported Disproof of the Mertens Conjecture]<br />
<br />
[[Category:Number theory]]</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=80695Gmaas2016-10-19T17:22:14Z<p>Moab33: </p>
<hr />
<div>=== Known Facts About gmaas ===<br />
<br />
- gmaas is the Doctor Who lord; he sports Dalek-painted cars and eats fish fingers and custard and plays Minecraft and Agario(totally not cancerous games, says the Doctor.)<br />
<br />
- themoocow is gmass. gmass is gmaas's cousin.<br />
<br />
- Gmass is <math>\bold{not}</math> Colonel Meow.<br />
<br />
- Gmaas is 5space's favorite animal. [http://artofproblemsolving.com/wiki/index.php?title=File:Gmaas2.png (Source)]<br />
<br />
- He lives with sseraj. <br />
<br />
- He is often overfed or malnourished by sseraj.<br />
<br />
- He has <cmath>\sum_{k=0}^1 (k+1)(k+2)-2</cmath> supercars, excluding the Purrari.<br />
<br />
- He is an employee of AoPS.<br />
<br />
- He is a gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
- Actually, he is a cat. He said so. And science also says so. <br />
<br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
- His favorite food is AoPS textbooks, because they help him digest problems.<br />
<br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
-Gmaas sightings are not very common. There have only been 8 confirmed sightings of Gmaas in the wild.<br />
<br />
-Gmaas is a sage omniscient cat.<br />
<br />
-He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
- Places where gmaas sightings have happened: <br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
~Alligator Swamp A 1072 <br />
~Alligator Swamp B 1073<br />
~Introduction to Algebra A (1170)<br />
~Welcome to Panda Town Gate 1076<br />
~Welcome to Gmaas Town Gate 1221<br />
~Welcome to Gmaas Town Gate 1125<br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
~The other side of the ice in Antarctica<br />
~Feisty Alligator Swamp 1115<br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
~Introduction to Counting and Probability 1142 <br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Counting and Probability 1207<br />
~Posting student surveys<br />
~USF Castle Walls 1203<br />
~Dark Lord's Hut 1210<br />
~AMC 10 Problem Series 1200<br />
~Intermediate Number Theory 1138<br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
~Algebra B 1112<br />
~33°81'199.4"N 167°05'45.1"W (Unknown location, please try again later)<br />
~Ocelot Rainforest 1111<br />
~Intermediate Counting and Probability 1137 <br />
~Intermediate Number Theory 1138 (AGAIN)<br />
~AMC 10 Problem Series 1200 (AGAIN)<br />
~Cat Gathering #339 1222<br />
~Cat Gathering #312 1535<br />
~Introduction to Geometry (1190)<br />
~Hogwarts Introduction to Transfiguration (...16168)<br />
~Cat Meow Meow Purr 1110<br />
~Bilbo's Hobbit Hole 1234<br />
~http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx<br />
~Pre-Algebra 1 with sseraj 1343 (Year: 2015)<br />
<br />
- These have all been designated as the most glorious sections of Aopsland now (except the USF castle walls), but deforestation threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
EDIT: The above disguises are rare for a Gmaas, except the cat.<br />
<br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
EDIT: He IS an AoPS site admin.<br />
<br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
- Is this the real life? Is this just fantasy? No. This is gmaas, the legend.<br />
<br />
- Gmaas might have been viewing (with a <math>\frac{99.999}{100}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Vu.<br />
<br />
- Gmaas is on the list of "Elusive Creatures." If you have questions, or want the full list, contact moab33.<br />
<br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
<br />
- Gmaas's left eye contains the singularity. (Only when everyone in the world blinks at the same time.)<br />
<br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure, as Kendra sprinkled holly into his fur.<br />
<br />
- The original owner of Gmaas is gmaas.<br />
<br />
<br />
- Gmaas was not the fourth Peverell brother, but he ascended into higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.)<br />
<br />
- It is suspected that Gmaas may be ordering his cyberhairballs to take the forums, along with microbots.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mu.<br />
<br />
- Gmaas rarely frequents the headquarters of the Illuminati. He is their symbol. Or he was, for one yoctosecond<br />
<br />
- It has been wondered if gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
<br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
<br />
- It has been confirmed that gmaas uses gmaal as his email service<br />
<br />
- Gmaas enjoys wearing gmean shorts<br />
<br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. <br />
<br />
<br />
- Gmaas is well known behind his stage name, Michal Stevens(also known as Vsauce XD), or his page name, Purrshanks.<br />
<br />
- Gmass rekt sseraj at 12:54 june 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
<br />
-Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
-Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seem the Dark Lord's hut knows that both gmaas and the DL (USF code name of the Dark Lord) love BBC. How gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
- The TV which was given to the DL was destroyed when the hut was raided by a group of hardcore USFers who did not want modern technology in their age, quote, "We beg gmaas' pardon, but such technology in an age of swords, bows, and magic is rather disturbing." The raiders were astonished to find the TV whole and running when they next returned in a full-scale attack, and have not touched it since.<br />
<br />
-Gmaas is a Super Duper Uper Cat Time Lord. He has 57843504 regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2\cdot267794=57843504</cmath>. <br />
<br />
<br />
-Gmaas loves to eat turnips. At <math>\frac{13}{32}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
=== gmaas in Popular Culture ===<br />
<br />
- Currently, [https://docs.google.com/document/d/1mLa2d_9Qgv4C9cZdThyjA6kSf2ULgwvkVjPVqmsoV2w/edit a book] is being written (by JpusheenS) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".<br />
<br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
- Sullymath is also writing a book about Gmaas<br />
<br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1995_AJHSME_Problems/Problem_1&diff=806941995 AJHSME Problems/Problem 12016-10-19T17:21:12Z<p>Moab33: Undo revision 80690 by Soccerpro101 (talk)</p>
<hr />
<div>==Problem==<br />
<br />
Walter has exactly one penny, one nickel, one dime and one quarter in his pocket. What percent of one dollar is in his pocket?<br />
<br />
<math>\text{(A)}\ 4\% \qquad \text{(B)}\ 25\% \qquad \text{(C)}\ 40\% \qquad \text{(D)}\ 41\% \qquad \text{(E)}\ 59\%</math><br />
<br />
==Solution==<br />
<br />
Walter has <math>1 + 5 + 10 + 25 = 41</math> cents in his pocket. There are <math>100</math> cents in a dollar. Therefore, Walter has <math>\frac{41}{100}\cdot 100\% = 41\%</math> of a dollar in his pocket, and the right answer is <math>\boxed{D}</math>.<br />
<br />
== See also ==<br />
{{AJHSME box|year=1995|before=First question|num-a=2}}<br />
* [[AJHSME]]<br />
* [[AJHSME Problems and Solutions]]<br />
* [[Mathematics competition resources]]<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1994_AJHSME_Problems/Problem_25&diff=806931994 AJHSME Problems/Problem 252016-10-19T17:20:52Z<p>Moab33: Undo revision 80689 by Soccerpro101 (talk)</p>
<hr />
<div>==Problem==<br />
<br />
Find the sum of the digits in the answer to<br />
<br />
<math>\underbrace{9999\cdots 99}_{94\text{ nines}} \times \underbrace{4444\cdots 44}_{94\text{ fours}}</math><br />
<br />
where a string of <math>94</math> nines is multiplied by a string of <math>94</math> fours.<br />
<br />
<math>\text{(A)}\ 846 \qquad \text{(B)}\ 855 \qquad \text{(C)}\ 945 \qquad \text{(D)}\ 954 \qquad \text{(E)}\ 1072</math><br />
<br />
==Solution==<br />
<br />
Notice that:<br />
<br />
<math>9*4 = 36</math> and <math>3+6 = 9 = 9*1</math><br />
<br />
<math>99*44 = 4356</math> and <math>4+5+3+6 = 18 = 9*2</math><br />
<br />
So the sum of the digits of x 9s times x 4s is simply <math>x*9</math>.<br />
<br />
Therefore the answer is <math>94*9 = \boxed{\text{(A)}\ 846}</math><br />
<br />
==See Also==<br />
{{AJHSME box|year=1994|num-b=24|after=Last <br /> Problem}}<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1994_AJHSME_Problems/Problem_19&diff=806921994 AJHSME Problems/Problem 192016-10-19T17:20:01Z<p>Moab33: Undo revision 80673 by Soccerpro101 (talk)</p>
<hr />
<div>==Problem==<br />
<br />
Around the outside of a <math>4</math> by <math>4</math> square, construct four semicircles (as shown in the figure) with the four sides of the square as their diameters. Another square, <math>ABCD</math>, has its sides parallel to the corresponding sides of the original square, and each side of <math>ABCD</math> is tangent to one of the semicircles. The area of the square <math>ABCD</math> is<br />
<br />
<asy><br />
pair A,B,C,D;<br />
A = origin; B = (4,0); C = (4,4); D = (0,4);<br />
draw(A--B--C--D--cycle);<br />
draw(arc((2,1),(1,1),(3,1),CCW)--arc((3,2),(3,1),(3,3),CCW)--arc((2,3),(3,3),(1,3),CCW)--arc((1,2),(1,3),(1,1),CCW));<br />
draw((1,1)--(3,1)--(3,3)--(1,3)--cycle);<br />
dot(A); dot(B); dot(C); dot(D); dot((1,1)); dot((3,1)); dot((1,3)); dot((3,3));<br />
label("$A$",A,SW);<br />
label("$B$",B,SE);<br />
label("$C$",C,NE);<br />
label("$D$",D,NW);<br />
</asy><br />
<br />
<math>\text{(A)}\ 16 \qquad \text{(B)}\ 32 \qquad \text{(C)}\ 36 \qquad \text{(D)}\ 48 \qquad \text{(E)}\ 64</math><br />
<br />
==Solution==<br />
The radius of each semicircle is <math>2</math>, half the sidelength of the square. The line straight down the middle of square <math>ABCD</math> is the sum of two radii and the length of the smaller square, which is equivalent to its sidelength. The area of <math>ABCD</math> is <math>(4+2+2)^2 = \boxed{\text{(E)}\ 64}</math>.<br />
<br />
==See Also==<br />
{{AJHSME box|year=1994|num-b=18|num-a=20}}<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1994_AJHSME_Problems/Problem_18&diff=806911994 AJHSME Problems/Problem 182016-10-19T17:19:32Z<p>Moab33: Undo revision 80672 by Soccerpro101 (talk)</p>
<hr />
<div>==Problem==<br />
<br />
Mike leaves home and drives slowly east through city traffic. When he reaches the highway he drives east more rapidly until he reaches the shopping mall where he stops. He shops at the mall for an hour. Mike returns home by the same route as he came, driving west rapidly along the highway and then slowly through city traffic. Each graph shows the distance from home on the vertical axis versus the time elapsed since leaving home on the horizontal axis. Which graph is the best representation of Mike's trip?<br />
<br />
<asy><br />
import graph;<br />
unitsize(12);<br />
real a(real x) {return ((x-15)^2)/2;}<br />
real b(real x) {return ((x-25)^2)/2;}<br />
real c(real x) {return ((x-30)^2 * (x-40)^2) * 8/625;}<br />
real d(real x) {return ((x-15)^2)*8/25-15;}<br />
real e(real x) {return ((x-25)^2)*8/25-15;}<br />
draw((0,9)--(0,0)--(11,0));<br />
draw((15,9)--(15,0)--(26,0));<br />
draw((30,9)--(30,0)--(41,0));<br />
draw((0,-6)--(0,-15)--(11,-15));<br />
draw((15,-6)--(15,-15)--(26,-15));<br />
draw((0,0)--(3,8)--(7,8)--(10,0));<br />
draw(graph(a,15,17));<br />
draw((17,2)--(18,8)--(22,8)--(23,2));<br />
draw(graph(b,23,25));<br />
draw(graph(c,30,40));<br />
draw((0,-15)--(5,-7)--(10,-15));<br />
draw(graph(d,15,20));<br />
draw(graph(e,20,25));<br />
for (int k=0; k<3; ++k)<br />
{<br />
label("d",(15*k-1,8),N); label("i",(15*k-1,7),N); label("s",(15*k-1,6),N); label("t",(15*k-1,5),N); label("a",(15*k-1,4),N); label("n",(15*k-1,3),N); label("c",(15*k-1,2),N); label("e",(15*k-1,1),N);<br />
label("time",(15*k+8,0),S);<br />
}<br />
for (int k=0; k<2; ++k)<br />
{<br />
label("d",(15*k-1,8-15),N); label("i",(15*k-1,7-15),N); label("s",(15*k-1,6-15),N); label("t",(15*k-1,5-15),N); label("a",(15*k-1,4-15),N); label("n",(15*k-1,3-15),N); label("c",(15*k-1,2-15),N); label("e",(15*k-1,1-15),N);<br />
label("time",(15*k+8,0-15),S);<br />
}<br />
label("(A)",(5,9),N); label("(B)",(20,9),N); label("(C)",(35,9),N); label("(D)",(5,-6),N); label("(E)",(20,-6),N);<br />
</asy><br />
<br />
==Solution==<br />
When Mike is shopping at the mall, his distance doesn't change, so there should be a flat plateau shape on the graph. This rules out <math>C,D,E</math>. The portion of graph <math>A</math> in which the distance is changing is linear, inconsistent with how he changes speed from the city and the highway. The best representation of his travels is graph <math>\boxed{\text{(B)}}</math>.<br />
<br />
==See Also==<br />
{{AJHSME box|year=1994|num-b=17|num-a=19}}<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=80669Gmaas2016-10-18T01:28:43Z<p>Moab33: /* Known Facts About gmaas */</p>
<hr />
<div>=== Known Facts About gmaas ===<br />
<br />
- gmaas is the Doctor Who lord; he sports Dalek-painted cars and eats fish fingers and custard and plays Minecraft and Agario(totally not cancerous games, says the Doctor.)<br />
<br />
- themoocow is gmass. gmass is gmaas's cousin.<br />
<br />
- Gmass is <math>\bold{not}</math> Colonel Meow.<br />
<br />
- Gmaas is 5space's favorite animal. [http://artofproblemsolving.com/wiki/index.php?title=File:Gmaas2.png (Source)]<br />
<br />
- He lives with sseraj. <br />
<br />
- He is often overfed or malnourished by sseraj.<br />
<br />
- He has <cmath>\sum_{k=0}^1 (k+1)(k+2)-2</cmath> supercars, excluding the Purrari.<br />
<br />
- He is an employee of AoPS.<br />
<br />
- He is a gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
- Actually, he is a cat. He said so. And science also says so. <br />
<br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
- His favorite food is AoPS textbooks, because they help him digest problems.<br />
<br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
-Gmaas sightings are not very common. There have only been 8 confirmed sightings of Gmaas in the wild.<br />
<br />
-Gmaas is a sage omniscient cat.<br />
<br />
-He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
- Places where gmaas sightings have happened: <br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
~Alligator Swamp A 1072 <br />
~Alligator Swamp B 1073<br />
~Introduction to Algebra A (1170)<br />
~Welcome to Panda Town Gate 1076<br />
~Welcome to Gmaas Town Gate 1221<br />
~Welcome to Gmaas Town Gate 1125<br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
~The other side of the ice in Antarctica<br />
~Feisty Alligator Swamp 1115<br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
~Introduction to Counting and Probability 1142 <br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Counting and Probability 1207<br />
~Posting student surveys<br />
~USF Castle Walls 1203<br />
~Dark Lord's Hut 1210<br />
~AMC 10 Problem Series 1200<br />
~Intermediate Number Theory 1138<br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
~Algebra B 1112<br />
~33°81'199.4"N 167°05'45.1"W (Unknown location, please try again later)<br />
~Ocelot Rainforest 1111<br />
~Intermediate Counting and Probability 1137 <br />
~Intermediate Number Theory 1138 (AGAIN)<br />
~AMC 10 Problem Series 1200 (AGAIN)<br />
~Cat Gathering #339 1222<br />
~Cat Gathering #312 1535<br />
~Introduction to Geometry (1190)<br />
~Hogwarts Introduction to Transfiguration (...16168)<br />
~Cat Meow Meow Purr 1110<br />
~Bilbo's Hobbit Hole 1234<br />
~http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx<br />
~Pre-Algebra 1 with sseraj 1343 (Year: 2015)<br />
<br />
- These have all been designated as the most glorious sections of Aopsland now (except the USF castle walls), but deforestation threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
EDIT: The above disguises are rare for a Gmaas, except the cat.<br />
<br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
EDIT: He IS an AoPS site admin.<br />
<br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
- Is this the real life? Is this just fantasy? No. This is gmaas, the legend.<br />
<br />
- Gmaas might have been viewing (with a <math>\frac{99.999}{100}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Vu.<br />
<br />
- Gmaas is on the list of "Elusive Creatures." If you have questions, or want the full list, contact moab33.<br />
<br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
<br />
- Gmaas's left eye contains the singularity. (Only when everyone in the world blinks at the same time.)<br />
<br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure, as Kendra sprinkled holly into his fur.<br />
<br />
- The original owner of Gmaas is gmaas.<br />
<br />
<br />
- Gmaas was not the fourth Peverell brother, but he ascended into higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.)<br />
<br />
- It is suspected that Gmaas may be ordering his cyberhairballs to take the forums, along with microbots.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mu.<br />
<br />
- Gmaas rarely frequents the headquarters of the Illuminati. He is their symbol. Or he was, for one yoctosecond<br />
<br />
- It has been wondered if gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
<br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
<br />
- It has been confirmed that gmaas uses gmaal as his email service<br />
<br />
- Gmaas enjoys wearing gmean shorts<br />
<br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. <br />
<br />
<br />
- Gmaas is well known behind his stage name, Michal Stevens(also known as Vsauce XD), or his page name, Purrshanks.<br />
<br />
- Gmass rekt sseraj at 12:54 june 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
<br />
-Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
-Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seem the Dark Lord's hut knows that both gmaas and the DL (USF code name of the Dark Lord) love BBC. How gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
- The TV which was given to the DL was destroyed when the hut was raided by a group of hardcore USFers who did not want modern technology in their age, quote, "We beg gmaas' pardon, but such technology in an age of swords, bows, and magic is rather disturbing." The raiders were astonished to find the TV whole and running when they next returned in a full-scale attack, and have not touched it since.<br />
<br />
-Gmaas is a Super Cat Time Lord. He has 216 regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2=216</cmath>. <br />
<br />
<br />
-Gmaas loves to eat turnips. At <math>\frac{13}{32}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
=== gmaas in Popular Culture ===<br />
<br />
- Currently, [https://docs.google.com/document/d/1mLa2d_9Qgv4C9cZdThyjA6kSf2ULgwvkVjPVqmsoV2w/edit a book] is being written (by JpusheenS) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".<br />
<br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
- Sullymath is also writing a book about Gmaas<br />
<br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=2012_AMC_8_Problems/Problem_21&diff=805892012 AMC 8 Problems/Problem 212016-10-11T00:00:31Z<p>Moab33: </p>
<hr />
<div>==Problem==<br />
Marla has a large white cube that has an edge of 10 feet. She also has enough green paint to cover 300 square feet. Marla uses all the paint to create a white square centered on each face, surrounded by a green border. What is the area of one of the white squares, in square feet?<br />
<math> \textbf{(A)}\hspace{.05in}5\sqrt2\qquad\textbf{(B)}\hspace{.05in}10\qquad\textbf{(C)}\hspace{.05in}10\sqrt2\qquad\textbf{(D)}\hspace{.05in}50\qquad\textbf{(E)}\hspace{.05in}50\sqrt2 </math><br />
<br />
==Solution==<br />
If Marla evenly distributes her <math>300</math> square feet of paint between the 6 faces, each face will get <math>300\div6 = 50</math> square feet of paint. The surface area of one of the faces of the cube is <math>10^2 = 100 </math> square feet. Therefore, there will be <math>100-50 = \boxed{\textbf{(D)}\ 50} </math> square feet of white on each side.<br />
<br />
==See Also==<br />
{{AMC8 box|year=2012|num-b=20|num-a=22}}<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=1993_AJHSME_Problems/Problem_16&diff=805881993 AJHSME Problems/Problem 162016-10-10T23:59:34Z<p>Moab33: Undo revision 80587 by Ivanthekingiii (talk)</p>
<hr />
<div>==Problem==<br />
<br />
<math> \frac{1}{1+\frac{1}{2+\frac{1}{3}}}= </math><br />
<br />
<math>\text{(A)}\ \dfrac{1}{6} \qquad \text{(B)}\ \dfrac{3}{10} \qquad \text{(C)}\ \dfrac{7}{10} \qquad \text{(D)}\ \dfrac{5}{6} \qquad \text{(E)}\ \dfrac{10}{3}</math><br />
<br />
==Solution==<br />
<cmath>\frac{1}{1+\frac{1}{2+\frac13}} = \frac{1}{1+\frac{1}{\frac73}} = \frac{1}{1+\frac37} = \frac{1}{\frac{10}{7}} = \boxed{\text{(C)}\ \frac{7}{10}} </cmath><br />
<br />
==See Also==<br />
{{AJHSME box|year=1993|num-b=15|num-a=17}}<br />
{{MAA Notice}}</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=LaTeX:Symbols&diff=80558LaTeX:Symbols2016-10-09T01:39:10Z<p>Moab33: /* Relations */</p>
<hr />
<div>{{Latex}}<br />
<br />
This article will provide a short list of commonly used LaTeX symbols. <br />
<br />
== Common Symbols ==<br />
<br />
=== Operators ===<br />
<br />
=== Relations ===<br />
<br />
== Finding Other Symbols ==<br />
<br />
Here are some external resources for finding less commonly used symbols:<br />
<ul><br />
<li><br />
[http://detexify.kirelabs.org/classify.html Detexify] is an app which allows you to draw the symbol you'd like and shows you the <math>\LaTeX</math> code for it!<br />
<br/><br/></li><br />
<br />
<li><br />
MathJax (what allows us to use <math>\LaTeX</math> on the web) maintains a [http://docs.mathjax.org/en/latest/tex.html#supported-latex-commands list of supported commands].<br />
<br/><br/></li><br />
<br />
<li><br />
[http://mirrors.ctan.org/info/symbols/comprehensive/symbols-a4.pdf The Comprehensive LaTeX Symbol List].<br />
<br/><br/></li><br />
</ul><br />
<br />
-------------------------------------------------------------------------------------------------------------<br />
<br />
==Operators==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\pm</math>||\pm||<math>\mp</math>||\mp||<math>\times</math>||\times<br />
|-<br />
|<math>\div</math>||\div||<math>\cdot</math>||\cdot||<math>\ast</math>||\ast<br />
|-<br />
|<math>\star</math>||\star||<math>\dagger</math>||\dagger||<math>\ddagger</math>||\ddagger<br />
|-<br />
|<math>\amalg</math>||\amalg||<math>\cap</math>||\cap||<math>\cup</math>||\cup<br />
|-<br />
|<math>\uplus</math>||\uplus||<math>\sqcap</math>||\sqcap||<math>\sqcup</math>||\sqcup<br />
|-<br />
|<math>\vee</math>||\vee||<math>\wedge</math>||\wedge||<math>\oplus</math>||\oplus<br />
|-<br />
|<math>\ominus</math>||\ominus||<math>\otimes</math>||\otimes||<math>\circ</math>||\circ<br />
|-<br />
|<math>\bullet</math>||\bullet||<math>\diamond</math>||\diamond||<math>\lhd</math>||\lhd<br />
|-<br />
|<math>\rhd</math>||\rhd||<math>\unlhd</math>||\unlhd||[[Image:Unrhd.gif]]||\unrhd<br />
|-<br />
|<math>\oslash</math>||\oslash||<math>\odot</math>||\odot||<math>\bigcirc</math>||\bigcirc<br />
|-<br />
|<math>\triangleleft</math>||\triangleleft||<math>\Diamond</math>||\Diamond||<math>\bigtriangleup</math>||\bigtriangleup<br />
|-<br />
|<math>\bigtriangledown</math>||\bigtriangledown||<math>\Box</math>||\Box||<math>\triangleright</math>||\triangleright<br />
|-<br />
|<math>\setminus</math>||\setminus||<math>\wr</math>||\wr||<math>\sqrt{x}</math>||\sqrt{x}<br />
|-<br />
|<math>x^{\circ}</math>||x^{\circ}||<math>\triangledown</math>||\triangledown||<math>\sqrt[n]{x}</math>||\sqrt[n]{x}<br />
|-<br />
|<math>a^x</math>||a^x||<math>a^{xyz}</math>||a^{xyz}<br />
|}<br />
<br />
==Relations==<br />
{| class="latextable"<br />
!Symbol !! Command !!Symbol !! Command!!Symbol !! Command<br />
|-<br />
| <math>\le</math>||\le||<math>\ge</math>||\ge||<math>\neq</math>||\neq<br />
|-<br />
| <math>\sim</math>||\sim||<math>\ll</math>||\ll||<math>\gg</math>||\gg<br />
|-<br />
| <math>\doteq</math>||\doteq||<math>\simeq</math>||\simeq||<math>\subset</math>||\subset<br />
|-<br />
| <math>\supset</math>||\supset||<math>\approx</math>||\approx||<math>\asymp</math>||\asymp<br />
|-<br />
| <math>\subseteq</math>||\subseteq||<math>\supseteq</math>||\supseteq||<math>\cong</math>||\cong<br />
|-<br />
| <math>\smile</math>||\smile||<math>\sqsubset</math>||\sqsubset||<math>\sqsupset</math>||\sqsupset<br />
|-<br />
| <math>\equiv</math>||\equiv||<math>\frown</math>||\frown||<math>\sqsubseteq</math>||\sqsubseteq<br />
|-<br />
| <math>\sqsupseteq</math>||\sqsupseteq||<math>\propto</math>||\propto||<math>\bowtie</math>||\bowtie<br />
|-<br />
| <math>\in</math>||\in||<math>\ni</math>||\ni||<math>\prec</math>||\prec<br />
|-<br />
| <math>\succ</math>||\succ||<math>\vdash</math>||\vdash||<math>\dashv</math>||\dashv<br />
|-<br />
| <math>\preceq</math>||\preceq||<math>\succeq</math>||\succeq||<math>\models</math>||\models<br />
|-<br />
| <math>\perp</math>||\perp||<math>\parallel</math>||\parallel|||<math>\|</math> |<math>\gg</math>||\gg<br />
|-<br />
| <math>\mid</math>||\mid||<math>\bumpeq</math>||\bumpeq||<math>\ll</math>||\ll<br />
|}<br />
Negations of many of these relations can be formed by just putting \not before the symbol, or by slipping an n between the \ and the word. Here are a few examples, plus a few other negations; it works for many of the others as well.<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\nmid</math>||\nmid||<math>\nleq</math>||\nleq||<math>\ngeq</math>||\ngeq<br />
|-<br />
| <math>\nsim</math>||\nsim||<math>\ncong</math>||\ncong||<math>\nparallel</math>||\nparallel<br />
|-<br />
| <math>\not<</math>||\not<||<math>\not></math>||\not>||<math>\not=</math>||\not=<br />
|-<br />
| <math>\not\le</math>||\not\le||<math>\not\ge</math>||\not\ge||<math>\not\sim</math>||\not\sim<br />
|-<br />
|<math>\not \approx</math>||\not\approx||<math>\not\cong</math>||\not\cong||<math>\not\equiv</math>||\not\equiv<br />
|-<br />
| <math>\not\parallel</math>||\not\parallel||<math>\nless</math>||\nless||<math>\ngtr</math>||\ngtr<br />
|-<br />
| <math>\lneq</math>||\lneq||<math>\gneq</math>||\gneq||<math>\lnsim</math>||\lnsim<br />
|-<br />
| <math>\lneqq</math>||\lneqq||<math>\gneqq</math>||\gneqq<br />
|}<br />
<br />
To use other relations not listed here, such as =, >, and <, in LaTeX, you may just use the symbols on your keyboard.<br />
<br />
==Greek Letters==<br />
{| class="latextable"<br />
|+ Lowercase Letters<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\alpha</math>||\alpha||<math>\beta</math>||\beta||<math>\gamma</math>||\gamma||<math>\delta</math>||\delta<br />
|-<br />
| <math>\epsilon</math>||\epsilon||<math>\varepsilon</math>||\varepsilon||<math>\zeta</math>||\zeta||<math>\eta</math>||\eta<br />
|-<br />
| <math>\theta</math>||\theta||<math>\vartheta</math>||\vartheta||<math>\iota</math>||\iota||<math>\kappa</math>||\kappa<br />
|-<br />
| <math>\lambda</math>||\lambda||<math>\mu</math>||\mu||<math>\nu</math>||\nu||<math>\xi</math>||\xi<br />
|-<br />
|<math>\pi</math>||\pi||<math>\varpi</math>||\varpi||<math>\rho</math>||\rho||<math>\varrho</math>||\varrho<br />
|-<br />
| <math>\sigma</math>||\sigma||<math>\varsigma</math>||\varsigma||<math>\tau</math>||\tau||<math>\upsilon</math>||\upsilon<br />
|-<br />
| <math>\phi</math>||\phi||<math>\varphi</math>||\varphi||<math>\chi</math>||\chi||<math>\psi</math>||\psi<br />
|-<br />
| <math>\omega</math>||\omega<br />
|}<br />
<br />
<br />
{| class="latextable"<br />
|+ Capital Letters<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\Gamma</math>||\Gamma||<math>\Delta</math>||\Delta||<math>\Theta</math>||\Theta||<math>\Lambda</math>||\Lambda<br />
|-<br />
| <math>\Xi</math>||\Xi||<math>\Pi</math>||\Pi||<math>\Sigma</math>||\Sigma||<math>\Upsilon</math>||\Upsilon<br />
|-<br />
| <math>\Phi</math>||\Phi||<math>\Psi</math>||\Psi||<math>\Omega</math>||\Omega<br />
|}<br />
<br />
<br />
== Headline text ==<br />
==Arrows==<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\gets</math>||\gets||<math>\to</math>||\to<br />
|-<br />
|<math>\leftarrow</math>||\leftarrow||<math>\Leftarrow</math>||\Leftarrow<br />
|-<br />
|<math>\rightarrow</math>||\rightarrow||<math>\Rightarrow</math>||\Rightarrow<br />
|-<br />
|<math>\leftrightarrow</math>||\leftrightarrow||<math>\Leftrightarrow</math>||\Leftrightarrow<br />
|-<br />
|<math>\mapsto</math>||\mapsto||<math>\hookleftarrow</math>||\hookleftarrow<br />
|-<br />
|<math>\leftharpoonup</math>||\leftharpoonup||<math>\leftharpoondown</math>||\leftharpoondown<br />
|-<br />
|<math>\rightleftharpoons</math>||\rightleftharpoons||<math>\longleftarrow</math>||\longleftarrow<br />
|-<br />
|<math>\Longleftarrow</math>||\Longleftarrow||<math>\longrightarrow</math>||\longrightarrow<br />
|-<br />
|<math>\Longrightarrow</math>||\Longrightarrow||<math>\longleftrightarrow</math>||\longleftrightarrow<br />
|-<br />
|<math>\Longleftrightarrow</math>||\Longleftrightarrow||<math>\longmapsto</math>||\longmapsto<br />
|-<br />
|<math>\hookrightarrow</math>||\hookrightarrow||<math>\rightharpoonup</math>||\rightharpoonup<br />
|-<br />
|<math>\rightharpoondown</math>||\rightharpoondown||<math>\leadsto</math>||\leadsto<br />
|-<br />
|<math>\uparrow</math>||\uparrow||<math>\Uparrow</math>||\Uparrow<br />
|-<br />
|<math>\downarrow</math>||\downarrow||<math>\Downarrow</math>||\Downarrow<br />
|-<br />
|<math>\updownarrow</math>||\updownarrow||<math>\Updownarrow</math>||\Updownarrow<br />
|-<br />
|<math>\nearrow</math>||\nearrow||<math>\searrow</math>||\searrow<br />
|-<br />
|<math>\swarrow</math>||\swarrow||<math>\nwarrow</math>||\nwarrow<br />
|}<br />
(For those of you who hate typing long strings of letters, \iff and \implies can be used in place of \Longleftrightarrow and \Longrightarrow respectively.)<br />
<br />
==Dots==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|- <br />
|<math>\dots</math>||\dots|| |<math>\vdots</math>||\vdots||<br />
|-<br />
|<math>\cdots</math>||\cdots||<br />
|-<br />
|<math>\ddots</math>||\ddots||<br />
|-<br />
|<math>\iddots</math>||\iddots||<br />
|}<br />
<br />
==Accents==<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\hat{x}</math>||\hat{x}||<math>\check{x}</math>||\check{x}||<math>\dot{x}</math>||\dot{x}<br />
|-<br />
|<math>\breve{x}</math>||\breve{x}||<math>\acute{x}</math>||\acute{x}||<math>\ddot{x}</math>||\ddot{x}<br />
|-<br />
|<math>\grave{x}</math>||\grave{x}||<math>\tilde{x}</math>||\tilde{x}||<math>\mathring{x}</math>||\mathring{x}<br />
|-<br />
|<math>\bar{x}</math>||\bar{x}||<math>\vec{x}</math>||\vec{x}<br />
|}<br />
When applying accents to i and j, you can use \imath and \jmath to keep the dots from interfering with the accents:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\vec{\jmath}</math>||\vec{\jmath}||<math>\tilde{\imath}</math>||\tilde{\imath}<br />
|}<br />
\tilde and \hat have wide versions that allow you to accent an expression:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\widehat{7+x}</math>||\widehat{7+x}||<math>\widetilde{abc}</math>||\widetilde{abc}<br />
|}<br />
<br />
==Others==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command <br />
|-<br />
|<math>\infty</math>||\infty||<math>\triangle</math>||\triangle||<math>\angle</math>||\angle<br />
|-<br />
|<math>\aleph</math>||\aleph||<math>\hbar</math>||\hbar||<math>\imath</math>||\imath<br />
|-<br />
|<math>\jmath</math>||\jmath||<math>\ell</math>||\ell||<math>\wp</math>||\wp<br />
|-<br />
|<math>\Re</math>||\Re||<math>\Im</math>||\Im||<math>\mho</math>||\mho<br />
|-<br />
|<math>\prime</math>||\prime||<math>\emptyset</math>||\emptyset||<math>\nabla</math>||\nabla<br />
|-<br />
|<math>\surd</math>||\surd||<math>\partial</math>||\partial||<math>\top</math>||\top<br />
|-<br />
|<math>\bot</math>||\bot||<math>\vdash</math>||\vdash||<math>\dashv</math>||\dashv<br />
|-<br />
|<math>\forall</math>||\forall||<math>\exists</math>||\exists||<math>\neg</math>||\neg<br />
|-<br />
|<math>\flat</math>||\flat||<math>\natural</math>||\natural||<math>\sharp</math>||\sharp<br />
|-<br />
|<math>\backslash</math>||\backslash||<math>\Box</math>||\Box||<math>\Diamond</math>||\Diamond<br />
|-<br />
|<math>\clubsuit</math>||\clubsuit||<math>\diamondsuit</math>||\diamondsuit||<math>\heartsuit</math>||\heartsuit<br />
|-<br />
|[[Image:Spadesuit.gif]]||\spadesuit||<math>\Join</math>||\Join||<math>\blacksquare</math>||\blacksquare<br />
|-<br />
|<math>\S</math>||\S||<math>\P</math>||\P||<math>\copyright</math>||\copyright<br />
|-<br />
|<math>\pounds</math>||\pounds||<math>\overarc{ABC}</math>||\overarc{ABC}||<math>\underarc{XYZ}</math>||\underarc{XYZ}<br />
|-<br />
|<math>\bigstar</math>||\bigstar||<math>\in</math>||\in||<math>\cup</math>||\cup<br />
|-<br />
|<math>\square</math>||\square||<br />
|-<br />
|<math>\smiley</math>||\smiley||<br />
|-<br />
|<math>\mathbb{R}</math>||\mathbb{R} (represents all real numbers)||<br />
|-<br />
|<math>\checkmark</math>||\checkmark||<br />
|}<br />
<br />
==Command Symbols==<br />
Some symbols are used in commands so they need to be treated in a special way.<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>\textdollar</math>||\textdollar or \$||<math>\&</math>||\&||<math>\%</math>||\%||<math>\#</math>||\#<br />
|-<br />
|<math>\_</math>||\_||<math>\{</math>||\{||<math>\}</math>||\}||<math>\backslash</math>||\backslash<br />
|}<br />
<br />
(Warning: Using <nowiki>$</nowiki> for <math>\textdollar</math> will result in <math>\$</math>. This is a bug as far as we know. Depending on the version of <math>\LaTeX</math> this is not always a problem.)<br />
<br />
==European Language Symbols==<br />
{| class="latextable"<br />
!Symbol!!Command!!Symbol!!Command!!Symbol!!Command!!Symbol!!Command<br />
|-<br />
|<math>{\oe}</math>||{\oe}||<math>{\ae}</math>||{\ae}||<math>{\o}</math>||{\o}<br />
|-<br />
|<math>{\OE}</math>||{\OE}||<math>{\AE}</math>||{\AE}||<math>{\AA}</math>||{\AA}||<math>{\O}</math>||{\O}<br />
|-<br />
|<math>{\l}</math>||{\l}||<math>{\ss}</math>||{\ss}||<math>\text{!`}</math>||!`<br />
|-<br />
|<math>{\L}</math>||{\L}||<math>{\SS}</math>||{\SS}||<br />
|}<br />
<br />
==Bracketing Symbols==<br />
In mathematics, sometimes we need to enclose expressions in brackets or braces or parentheses. Some of these work just as you'd imagine in LaTeX; type ( and ) for parentheses, [ and ] for brackets, and | and | for absolute value. However, other symbols have special commands:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\{</math>||\{||<math>\}</math>||\}||<math>\|</math>||<nowiki>\|</nowiki><br />
|-<br />
| <math>\backslash</math>||\backslash||<math>\lfloor</math>||\lfloor||<math>\rfloor</math>||\rfloor<br />
|-<br />
| <math>\lceil</math>||\lceil||<math>\rceil</math>||\rceil||<math>\langle</math>||\langle<br />
|-<br />
| <math>\rangle</math>||\rangle<br />
|}<br />
You might notice that if you use any of these to typeset an expression that is vertically large, like<br />
<br />
:<tt>(\frac{a}{x} )^2</tt><br />
<br />
the parentheses don't come out the right size:<br />
<br />
:<math>(\frac{a}{x})^2</math><br />
<br />
If we put \left and \right before the relevant parentheses, we get a prettier expression:<br />
<br />
:<tt>\left(\frac{a}{x} \right)^2</tt><br />
<br />
gives<br />
<br />
:<math>\left(\frac{a}{x} \right)^2</math><br />
<br />
\left and \right can also be used to resize the following symbols:<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\uparrow</math>||\uparrow||<math>\downarrow</math>||\downarrow||<math>\updownarrow</math>||\updownarrow<br />
|-<br />
| <math>\Uparrow</math>||\Uparrow||<math>\Downarrow</math>||\Downarrow||<math>\Updownarrow</math>||\Updownarrow<br />
|}<br />
<br />
==Multi-Size Symbols==<br />
Some symbols render differently in inline math mode and in display mode. Display mode occurs when you use <nowiki>\[...\]</nowiki> or <nowiki>$$...$$</nowiki>, or environments like \begin{equation}...\end{equation}, \begin{align}...\end{align}. Read more in the [[LaTeX:Commands|commands]] section of the guide about how symbols which take arguments above and below the symbols, such as a summation symbol, behave in the two modes.<br />
<br />
In each of the following, the two images show the symbol in display mode, then in inline mode.<br />
<br />
{| class="latextable"<br />
!Symbol !! Command!!Symbol !! Command!!Symbol !! Command<br />
|-<br />
|<math>\sum \textstyle\sum</math>||\sum||<math>\int \textstyle\int</math>||\int||<math>\oint \textstyle\oint</math>||\oint<br />
|-<br />
|<math>\prod \textstyle\prod</math>||\prod||<math>\coprod \textstyle\coprod</math>||\coprod||<math>\bigcap \textstyle\bigcap</math>||\bigcap<br />
|-<br />
|<math>\bigcup \textstyle\bigcup</math>||\bigcup||<math>\bigsqcup \textstyle\bigsqcup</math>||\bigsqcup||<math>\bigvee \textstyle\bigvee</math>||\bigvee<br />
|-<br />
|<math>\bigwedge \textstyle\bigwedge</math>||\bigwedge||<math>\bigodot \textstyle\bigodot</math>||\bigodot||<math>\bigotimes \textstyle\bigotimes</math>||\bigotimes<br />
|-<br />
|<math>\bigoplus \textstyle\bigoplus</math>||\bigoplus||<math>\biguplus \textstyle\biguplus</math>||\biguplus<br />
|}<br />
<br />
==See Also==<br />
*[[LaTeX:Commands | Next: Commands]]<br />
*[[LaTeX:Layout | Previous: Layout]]</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=80497Gmaas2016-10-03T23:07:52Z<p>Moab33: /* Known Facts About gmaas */</p>
<hr />
<div>=== Known Facts About gmaas ===<br />
<br />
- gmaas is the Doctor Who lord; he sports Dalek-painted cars and eats fish fingers and custard and plays Minecraft and Agario(totally not catcerous games, says the Doctor.)<br />
<br />
- themoocow is gmass. gmass is gmaas's cousin.<br />
<br />
- Gmass is <math>\bold{not}</math> Colonel Meow.<br />
<br />
- Gmaas is 5space's favorite animal. [http://artofproblemsolving.com/wiki/index.php?title=File:Gmaas2.png (Source)]<br />
<br />
- He lives with sseraj. <br />
<br />
- He is often overfed or malnourished by sseraj.<br />
<br />
- He has <cmath>\sum_{k=0}^1 (k+1)(k+2)-2</cmath> supercars, excluding the Purrari.<br />
<br />
- He is an employee of AoPS.<br />
<br />
- He is a gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
- Actually, he is a cat. He said so. And science also says so. <br />
<br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
- His favorite food is AoPS textbooks, because they help him digest problems.<br />
<br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
-Gmaas sightings are not very common. There have only been 8 confirmed sightings of Gmaas in the wild.<br />
<br />
-Gmaas is a sage omniscient cat.<br />
<br />
-He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
- Places where gmaas sightings have happened: <br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
~Alligator Swamp A 1072 <br />
~Alligator Swamp B 1073<br />
~Introduction to Algebra A (1170)<br />
~Welcome to Panda Town Gate 1076<br />
~Welcome to Gmaas Town Gate 1221<br />
~Welcome to Gmaas Town Gate 1125<br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
~The other side of the ice in Antarctica<br />
~Feisty Alligator Swamp 1115<br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
~Introduction to Counting and Probability 1142 <br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Counting and Probability 1207<br />
~Posting student surveys<br />
~USF Castle Walls 1203<br />
~Dark Lord's Hut 1210<br />
~AMC 10 Problem Series 1200<br />
~Intermediate Number Theory 1138<br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
~Algebra B 1112<br />
~33°81'199.4"N 167°05'45.1"W (Unknown location, please try again later)<br />
~Ocelot Rainforest 1111<br />
~Intermediate Counting and Probability 1137 <br />
~Intermediate Number Theory 1138 (AGAIN)<br />
~AMC 10 Problem Series 1200 (AGAIN)<br />
~Cat Gathering #339 1222<br />
~Cat Gathering #312 1535<br />
~Introduction to Geometry (1190)<br />
~Hogwarts Introduction to Transfiguration (...16168)<br />
~Cat Meow Meow Purr 1110<br />
~Bilbo's Hobbit Hole 1234<br />
~http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx<br />
~Pre-Algebra 1 with sseraj 1343 (Year: 2015)<br />
<br />
- These have all been designated as the most glorious sections of Aopsland now (except the USF castle walls), but deforestation threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
EDIT: The above disguises are rare for a Gmaas, except the cat.<br />
<br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
EDIT: He IS an AoPS site admin.<br />
<br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
- Is this the real life? Is this just fantasy? No. This is gmaas, the legend.<br />
<br />
- Gmaas might have been viewing (with a <math>\frac{99.999}{100}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Vu.<br />
<br />
- Gmaas is on the list of "Elusive Creatures." If you have questions, or want the full list, contact moab33.<br />
<br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
<br />
- Gmaas's left eye contains the singularity. (Only when everyone in the world blinks at the same time.)<br />
<br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure, as Kendra sprinkled holly into his fur.<br />
<br />
- The original owner of Gmaas is gmaas.<br />
<br />
<br />
- Gmaas was not the fourth Peverell brother, but he ascended into higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.)<br />
<br />
- It is suspected that Gmaas may be ordering his cyberhairballs to take the forums, along with microbots.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mu.<br />
<br />
- Gmaas rarely frequents the headquarters of the Illuminati. He is their symbol. Or he was, for one yoctosecond<br />
<br />
- It has been wondered if gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
<br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
<br />
- It has been confirmed that gmaas uses gmaal as his email service<br />
<br />
- Gmaas enjoys wearing gmean shorts<br />
<br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. <br />
<br />
<br />
- Gmaas is well known behind his stage name, Michal Stevens(also known as Vsauce XD), or his page name, Purrshanks.<br />
<br />
- Gmass rekt sseraj at 12:54 june 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
<br />
-Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
-Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seem the Dark Lord's hut knows that both gmaas and the DL (USF code name of the Dark Lord) love BBC. How gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
- The TV which was given to the DL was destroyed when the hut was raided by a group of hardcore USFers who did not want modern technology in their age, quote, "We beg gmaas' pardon, but such technology in an age of swords, bows, and magic is rather disturbing." The raiders were astonished to find the TV whole and running when they next returned in a full-scale attack, and have not touched it since.<br />
<br />
-Gmaas is a Super Cat Time Lord. He has 216 regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2=216</cmath>. <br />
<br />
<br />
-Gmaas loves to eat turnips. At <math>\frac{5}{24}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
=== gmaas in Popular Culture ===<br />
<br />
- Currently, [https://docs.google.com/document/d/1mLa2d_9Qgv4C9cZdThyjA6kSf2ULgwvkVjPVqmsoV2w/edit a book] is being written (by JpusheenS) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".<br />
<br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
- Sullymath is also writing a book about Gmaas<br />
<br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=Gmaas&diff=80399Gmaas2016-09-26T21:03:32Z<p>Moab33: /* Known Facts About gmaas */</p>
<hr />
<div>=== Known Facts About gmaas ===<br />
<br />
- themoocow is gmass. gmass is gmaas's cousin.<br />
<br />
- Gmass is <math>\bold{not}</math> Colonel Meow.<br />
<br />
- Gmaas is 5space's favorite animal. [http://artofproblemsolving.com/wiki/index.php?title=File:Gmaas2.png (Source)]<br />
<br />
- He lives with sseraj. <br />
<br />
- He is often overfed or malnourished by sseraj.<br />
<br />
- He has <cmath>\sum_{k=0}^1 (k+1)(k+2)-2</cmath> supercars, excluding the Purrari.<br />
<br />
- He is an employee of AoPS.<br />
<br />
- He is a gmaas with yellow fur and white hypnotizing eyes.<br />
<br />
- He was born with a tail that is a completely different color from the rest of his fur.<br />
<br />
- His stare is very hypnotizing and effective at getting table scraps.<br />
<br />
- He sometimes appears several minutes before certain classes start as an admin. <br />
<br />
- He died from too many Rubik's cubes in an Introduction to Algebra A class, but got revived by the Dark Lord at 00:13:37 AM the next day.<br />
<br />
- It is uncertain whether or not he is a cat, or is merely some sort of beast that has chosen to take the form of a cat (specifically a Persian Smoke.) <br />
<br />
- Actually, he is a cat. He said so. And science also says so. <br />
<br />
- He is very famous now, and mods always talk about him before class starts.<br />
<br />
- His favorite food is AoPS textbooks, because they help him digest problems.<br />
<br />
- Gmaas tends to reside in sseraj's fridge.<br />
<br />
- Gmaas once ate all sseraj's fridge food, so sseraj had to put him in the freezer.<br />
<br />
- The fur of Gmaas can protect him from the harsh conditions of a freezer.<br />
<br />
-Gmaas sightings are not very common. There have only been 8 confirmed sightings of Gmaas in the wild.<br />
<br />
-Gmaas is a sage omniscient cat.<br />
<br />
-He is looking for suitable places other than sseraj's fridge to live in.<br />
<br />
- Places where gmaas sightings have happened: <br />
~MouseFeastForCats/CAT 8 Mouse Apartment 1083<br />
~Alligator Swamp A 1072 <br />
~Alligator Swamp B 1073<br />
~Introduction to Algebra A (1170)<br />
~Welcome to Panda Town Gate 1076<br />
~Welcome to Gmaas Town Gate 1221<br />
~Welcome to Gmaas Town Gate 1125<br />
~33°01'17.4"N 117°05'40.1"W (Rancho Bernardo Road, San Diego, CA)<br />
~The other side of the ice in Antarctica<br />
~Feisty Alligator Swamp 1115<br />
~Introduction to Geometry 1221 (Taught by sseraj)<br />
~Introduction to Counting and Probability 1142 <br />
~Feisty-ish Alligator Swamp 1115 (AGAIN)<br />
~Intermediate Counting and Probability 1137<br />
~Intermediate Counting and Probability 1207<br />
~Posting student surveys<br />
~USF Castle Walls 1203<br />
~Dark Lord's Hut 1210<br />
~AMC 10 Problem Series 1200<br />
~Intermediate Number Theory 1138<br />
~Introduction To Number Theory 1204. Date:7/27/16.<br />
~Algebra B 1112<br />
~33°81'199.4"N 167°05'45.1"W (Unknown location, please try again later)<br />
~Ocelot Rainforest 1111<br />
~Intermediate Counting and Probability 1137 <br />
~Intermediate Number Theory 1138 (AGAIN)<br />
~AMC 10 Problem Series 1200 (AGAIN)<br />
~Cat Gathering #339 1222<br />
~Cat Gathering #312 1535<br />
~Introduction to Geometry (1190)<br />
~Hogwarts Introduction to Transfiguration (...16168)<br />
~Cat Meow Meow Purr 1110<br />
~Bilbo's Hobbit Hole 1234<br />
~http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx<br />
~Pre-Algebra 1 with sseraj 1343 (Year: 2015)<br />
<br />
- These have all been designated as the most glorious sections of Aopsland now (except the USF castle walls), but deforestation threatens the wild areas (i.e. Alligator Swamps A&B).<br />
<br />
- Gmaas has also been sighted in Olympiad Geometry 1148.<br />
<br />
- Gmaas are often under the disguise of a penguin or cat. Look out for them.<br />
<br />
EDIT: The above disguises are rare for a Gmaas, except the cat.<br />
<br />
- He lives in the shadows. Is he a dream? Truth? Fiction? Condemnation? Salvation? AoPS site admin? He is all these things and none of them. He is... Gmaas.<br />
<br />
EDIT: He IS an AoPS site admin.<br />
<br />
- If you make yourself more than just a cat... if you devote yourself to an ideal... and if they can't stop you... then you become something else entirely. A LEGEND. Gmaas now belongs to the ages.<br />
<br />
- Is this the real life? Is this just fantasy? No. This is gmaas, the legend.<br />
<br />
- Gmaas might have been viewing (with a <math>\frac{99.999}{100}</math> chance) the Ultimate Survival Forum. He (or is he a she?) is suspected to be transforming the characters into real life. Be prepared to meet your epic swordsman self someday.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Vu.<br />
<br />
- Gmaas is on the list of "Elusive Creatures." If you have questions, or want the full list, contact moab33.<br />
<br />
- Gmaas can be summoned using the <math>\tan(90)</math> ritual. Draw a pentagram and write the numerical value of <math>\tan(90)</math> in the middle, and he will be summoned.<br />
<br />
- Gmaas's left eye contains the singularity. (Only when everyone in the world blinks at the same time.)<br />
<br />
- Lord Grindelwald once tried to make Gmaas into a Horcrux, but Gmaas's fur is Elder Wand protected and secure, as Kendra sprinkled holly into his fur.<br />
<br />
- The original owner of Gmaas is gmaas.<br />
<br />
<br />
- Gmaas was not the fourth Peverell brother, but he ascended into higher being and now he resides in the body of a cat, as he was before. Is it a cat? We will know. (And the answer is YES.)<br />
<br />
- It is suspected that Gmaas may be ordering his cyberhairballs to take the forums, along with microbots.<br />
<br />
- The name of Gmaas is so powerful, it radiates Deja Mu.<br />
<br />
- Gmaas rarely frequents the headquarters of the Illuminati. He is their symbol. Or he was, for one yoctosecond<br />
<br />
- It has been wondered if gmaas is the spirit of Obi-Wan Kenobi or Anakin Skywalker in a higher form, due to his strange capabilities and powers.<br />
<br />
<br />
- Gmaas has a habit of sneaking into computers, joining The Network, and exiting out of some other computer.<br />
<br />
<br />
- It has been confirmed that gmaas uses gmaal as his email service<br />
<br />
- Gmaas enjoys wearing gmean shorts<br />
<br />
- Gmaas has a bright orange tail with hot pink spirals. Or he had for 15 minutes. <br />
<br />
<br />
- Gmaas is well known behind his stage name, Michal Stevens(also known as Vsauce XD), or his page name, Purrshanks.<br />
<br />
- Gmass rekt sseraj at 12:54 june 4, 2016 UTC time zone. And then the Doctor chased him.<br />
<br />
<br />
-Gmaas watchers know that the codes above are NOT years. They are secret codes for the place. But if you've edited that section of the page, you know that.<br />
<br />
-Gmaas is a good friend of the TARDIS and the Millenium Falcon. <br />
<br />
- In the Dark Lord's hut, gmaas was seen watching Doctor Who. Anyone who has seem the Dark Lord's hut knows that both gmaas and the DL (USF code name of the Dark Lord) love BBC. How gmaas gave him a TV may be lost to history. And it has been lost.<br />
<br />
- The TV which was given to the DL was destroyed when the hut was raided by a group of hardcore USFers who did not want modern technology in their age, quote, "We beg gmaas' pardon, but such technology in an age of swords, bows, and magic is rather disturbing." The raiders were astonished to find the TV whole and running when they next returned in a full-scale attack, and have not touched it since.<br />
<br />
-Gmaas is a Super Cat Time Lord. He has 216 regenerations and has used <math>3</math>. <cmath>9\cdot12\cdot2=216</cmath>. <br />
<br />
<br />
-Gmaas loves to eat turnips. At <math>\frac{5}{24}</math> of the sites he was spotted at, he was seen with a turnip.<br />
<br />
=== gmaas in Popular Culture ===<br />
<br />
- Currently, [https://docs.google.com/document/d/1mLa2d_9Qgv4C9cZdThyjA6kSf2ULgwvkVjPVqmsoV2w/edit a book] is being written (by JpusheenS) about the adventures of gmaas. It is aptly titled, "The Adventures of gmaas".<br />
<br />
- BREAKING NEWS: tigershark22 has found a possible cousin to gmaas in Raymond Feist's book Silverthorn. They are mountain dwellers, gwali. Not much are known about them either, and when someone asked,"What are gwali?" the customary answer "This is gwali" is returned. Scientist 5space is now looking into it.<br />
<br />
- Sullymath is also writing a book about Gmaas<br />
<br />
- Potential sighting of gmaas [http://www.gmac.com/frequently-asked-questions/gmass-search-service.aspx]<br />
<br />
- Gmaas has been spotted in some Doctor Who and Phineas and Ferb episodes, such as Aliens of London, Phineas and Ferb Save Summer, Dalek, Rollercoaster, Rose, Boom Town, The Day of The Doctor, Candace Gets Busted, and many more.<br />
<br />
- Gmaas can be found in many places in Plants vs. Zombies Garden Warfare 2 and Bloons TD Battles</div>Moab33https://artofproblemsolving.com/wiki/index.php?title=2005_AMC_8_Problems/Problem_17&diff=803842005 AMC 8 Problems/Problem 172016-09-24T22:34:24Z<p>Moab33: Undo revision 80383 by Bz1 (talk)</p>
<hr />
<div>==Problem==<br />
The results of a cross-country team's training run are graphed below. Which student has the greatest average speed?<br />
<asy><br />
for ( int i = 1; i <= 7; ++i )<br />
{<br />
draw((i,0)--(i,6));<br />
}<br />
<br />
for ( int i = 1; i <= 5; ++i )<br />
{<br />
draw((0,i)--(8,i));<br />
}<br />
draw((-0.5,0)--(8,0), linewidth(1));<br />
draw((0,-0.5)--(0,6), linewidth(1));<br />
label("$O$", (0,0), SW);<br />
label(scale(.85)*rotate(90)*"distance", (0, 3), W);<br />
label(scale(.85)*"time", (4, 0), S);<br />
dot((1.25, 4.5));<br />
label(scale(.85)*"Evelyn", (1.25, 4.8), N);<br />
dot((2.5, 2.2));<br />
label(scale(.85)*"Briana", (2.5, 2.2), S);<br />
dot((4.25,5.2));<br />
label(scale(.85)*"Carla", (4.25, 5.2), SE);<br />
dot((5.6, 2.8));<br />
label(scale(.85)*"Debra", (5.6, 2.8), N);<br />
dot((6.8, 1.4));<br />
label(scale(.85)*"Angela", (6.8, 1.4), E);<br />
</asy><br />
<br />
<math> \textbf{(A)}\ \text{Angela}\qquad\textbf{(B)}\ \text{Briana}\qquad\textbf{(C)}\ \text{Carla}\qquad\textbf{(D)}\ \text{Debra}\qquad\textbf{(E)}\ \text{Evelyn} </math><br />
<br />
==Solution==<br />
Average speed is distance over time, or the slope of the line through the point and the origin. <math>\boxed{\textbf{(E)}\ \text{Evelyn}}</math> has the steepest line, and runs the greatest distance for the shortest amount of time.<br />
<br />
==See Also==<br />
{{AMC8 box|year=2005|num-b=16|num-a=18}}<br />
{{MAA Notice}}</div>Moab33