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• Constructive counting
  ...s a [[counting]] technique that involves constructing an item belonging to a set. Along with the construction, one counts the total possibilities of eac '''Solution''': We can construct a four-digit by picking the first digit, then the second, and so on until the
  12 KB (1,898 words) - 07:42, 19 August 2024
• Base numbers
  ...each number in 2746 is actually just a placeholder which shows how many of a certain power of 10 there are. The first digit to the left of the decimal ...digits 0-9. Usually, the base, or '''radix''', of a number is denoted as a subscript written at the right end of the number (e.g. in our example above
  4 KB (547 words) - 16:23, 30 December 2020
• Vector
  ...y, but also most abstractly, a vector is any object which is an element of a given vector space. ...(x\,\,y\,\,z\,\,...)</math>. The set of vectors over a [[field]] is called a [[vector space]].
  11 KB (1,876 words) - 18:01, 29 August 2024
• Mock AMC
  ...an actual [[AMC]] (American Mathematics Competitions 8, 10, or 12) exam. A number of '''Mock AMC''' competitions have been hosted on the [[Art of Prob ...the [https://artofproblemsolving.com/community/c594864_aops_mock_contests AoPS Mock Contests forum].
  51 KB (6,135 words) - 05:44, 2 November 2024
• 2002 IMO Shortlist Problems/N3
  ...ry divisor <math>a </math> of <math>m </math>, <math>ka </math> is clearly a divisor of <math>km </math>, but not <math>m </math>. ..., then the [[greatest common factor]] of <math>2^u + 1 </math> and <math>2^v + 1 </math> is 3.
  10 KB (1,739 words) - 05:38, 12 November 2019
• 2007 USAMO Problems/Problem 4
  (''Reid Barton'') An ''animal'' with <math>n</math> ''cells'' is a connected figure consisting of <math>n</math> equal-sized [[Square (geometr ...two or more dinosaurs. Find with proof the [[maximum]] number of cells in a primitive dinosaur.
  10 KB (1,878 words) - 13:56, 30 June 2021
• 2004 AMC 12A Problems/Problem 11
  <math>\text {(A)}\ 0 \qquad \text {(B)}\ 1 \qquad \text {(C)}\ 2 \qquad \text {(D)}\ 3\qqua ...nd <math>1</math> nickel in her purse. Thus, she has <math>\boxed{\mathrm{(A)}\ 0}</math> dimes.
  2 KB (310 words) - 16:39, 31 December 2022
• 1974 USAMO Problems/Problem 5
  ...le ADB = \angle BDC = \angle CDA = 120^\circ</math>. Prove that <math>x=u+v+w</math>. pair C=(0,1), A=(1,6), B=(4,1), D=(1.5,2);
  7 KB (1,221 words) - 17:57, 3 July 2013
• 2005 USAMO Problems/Problem 3
  ...th>. Prove that points <math>B_1, C_1,P</math>, and <math>Q</math> lie on a circle. pair A=(2,5), B=(-1,0), C=(5,0);
  6 KB (1,117 words) - 00:17, 11 October 2021
• 2008 USAMO Problems/Problem 6
  ...mber of ways that the mathematicians may be split between the two rooms is a power of two (i.e., is of the form <math>2^k</math> for some positive integ ...space]] of all such functions. Define the linear operator <math>A : V \to V</math> as
  13 KB (2,414 words) - 13:37, 11 July 2016
• Mock Amc 12
  ...an actual [[AMC]] (American Mathematics Competitions 8, 10, or 12) exam. A number of '''Mock AMC''' competitions have been hosted on the [[Art of Prob ...the [https://artofproblemsolving.com/community/c594864_aops_mock_contests AoPS Mock Contests forum].
  18 KB (2,206 words) - 18:41, 24 December 2020
• Autograph
  label("$V-4\beta$",(0,-0.3),red); Autograph is a piece of code written in [[Asymptote]] that graphs functions. The user must
  17 KB (2,910 words) - 14:01, 2 September 2011
• 2020 Mock Combo AMC 10
  ...problems from the 2020 Mock Combo AMC 10 II, a mock contest created by the AoPS user fidgetboss_4000. ...friend, Sara, along with eight other classmates, are randomly seated along a row of ten chairs. What is the probability that Fred sits next to Sara?
  15 KB (2,452 words) - 02:03, 4 July 2020
• Aops font
  ...nclose some text inside [aops] and [/aops] and the text is rendered in the aops font. The [aops][/aops] tags allow you to render items from the custom font that AoPS uses -- you'll recognize these icons from the rest of the site.
  6 KB (874 words) - 21:05, 15 November 2024
• Gmaas
  ...Plenipotentiary GMAAS cannot get rid of a language that's been around for a <math>999999999999999999999999999999999999999999^{9999999999999999999999999 ...ke and reciprocated the fee," you must pay <math>1,000,000</math> to solve a problem using the Games theorem. You wouldn't waste that much money to solv
  69 KB (11,805 words) - 19:49, 18 December 2019
• GMAAS
  ...̃̀̉̋̅̃ͮ͝͡͞_͇̤̺͓͕͚̮̥̱̳̪̩̍̽̓ͪ̎̒̾ͯ̏̚͘͜͠͝ͅa̷̸̸̶̵̧̡̢̡̛͔͈͓̖̠̱͉̥̟͓̯̭͎̪̱̳̜̙̝͓̰͉̹̤̰͎͓͈ ...entiary Almighty Gmaas cannot get rid of a language that's been around for a <math>999999999999999999999999999999999999999999^{9999999999999999999999999
  99 KB (14,063 words) - 20:43, 13 November 2024
• Wood2009
  1. Wood2009 is a kid. He likes Aops. EDIt: Of course everybody likes Aops 7. He has a lot of friends. Edit: Breh
  3 KB (452 words) - 09:21, 17 November 2022
• Know the Facts: Gmaas
  ...e contributors section. WARNING: Security details will be checking once in a while, so please edit this page appropriately! ..., though his godly power can turn him into anything, he just prefers to be a cat. As you read on, you will discover more things about him then you will
  89 KB (15,058 words) - 19:26, 15 October 2024
• A7456321
  ...Plenipotentiary GMAAS cannot get rid of a language that's been around for a <math>999999999999999999999999999999999999999999^{9999999999999999999999999 ...ke and reciprocated the fee," you must pay <math>1,000,000</math> to solve a problem using the Games theorem. You wouldn't waste that much money to solv
  69 KB (11,828 words) - 18:26, 3 September 2024