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• Combinatorics
  ...ation of a non-[[recursive]] formula for the [[Fibonacci numbers]], and so too methods of solving the [[Rubiks cube]]. Mathematicians who spend their care Combinatorial problems often make up a good portion of problems found in mathematics competitions and can be approached
  1 KB (208 words) - 01:12, 4 October 2020
• Fermat's Last Theorem
  ...ed a truly marvelous demonstration of this proposition that this margin is too narrow to contain.''" ...theorem generated whole new areas of mathematics. In this sense, it was a good, productive problem.
  3 KB (453 words) - 10:13, 9 June 2023
• 2006 AMC 12A Problems/Problem 25
  ...s-1)</math> or <math>3s-2</math>. If <math>3s-1>15</math>, that means s is too large. Therefore <math>3s-2\le15</math>; solving for <math>s</math> yields ...}:</math> (<math>n=14, k=2</math>). Now we have something tricky. To get a good grasp on this case, let us consider the smallest element; <math>2</math>, i
  9 KB (1,406 words) - 07:58, 28 September 2024
• 1989 AIME Problems/Problem 9
  ...\geq 174.</math> It quickly becomes apparent that <math>174</math> is much too large, so <math>n</math> must be <math>\boxed{144}.</math> Note that <math>134</math> will obviously be too small, so we try <math>144</math> and get <math>\left(\frac{144}{27}\right)
  6 KB (874 words) - 14:50, 20 January 2024
• 2003 AIME II Problems/Problem 6
  ==Solution 2(Doesn’t require good diagram)== ...nd that each of the 6 outer triangles have equal area. (Proof: Since I’m too lazy to draw out a diagram, I’ll just have you borrow the one above. Draw
  5 KB (787 words) - 16:38, 30 July 2022
• Mock MathCounts
  ...ty members will make Mock MATHCOUNTS in any given year, but it's usually a good bet that someone will. ...ubject. Having a group is also good so they can discuss which problems are good or need improvement, and fix errors. More than one person working on a mock
  26 KB (3,260 words) - 18:28, 15 August 2024
• Asymptote: Advanced Configuration
  ...such methods. See [[http://www.computerhope.com/batch.htm#11 here]] for a good reference on DOS batch files and Windows batch commands. (1) When running Asymptote from inside TexnicCenter, the DOS window closes too quickly to see any error messages. These messages may be crucial to correct
  12 KB (1,931 words) - 12:53, 26 January 2020
• LaTeX:Layout
  ...table is vertically positioned with the text around it. This entry is not too important - experiment using different values (or omitting it) when you hav ...plicated things if you include the array packing in your document (check a good LaTeX book for more details), but for most tables, the options we've descri
  29 KB (4,929 words) - 12:26, 12 September 2024
• LaTeX:Packages
  ...ted for LaTeX. If there's something unusual that you want to do, there's a good chance that there's already a package out there that does it. ...folders, you'll have to carry copies of your .sty files to those folders, too. The real problem with this approach comes when you want to change one of t
  10 KB (1,656 words) - 08:33, 21 September 2024
• KGS math club
  ...I'm afraid you need to register to the AoPS wiki first. After that you're good to go. |Topological puzzle: you have a thick rope, and lots of rubber bands each too small to go round the rope. Can you make a structure from the bands, and pu
  22 KB (3,358 words) - 14:17, 18 July 2017
• How should I prepare?
  If you don't feel like going too deep and want a straightforward answer, here it is: ...sts to see if the books are on the right level for you. '''Alcumus''' is a good resource even if you do not own any of the AoPS books. A very important not
  15 KB (2,218 words) - 19:19, 9 October 2024
• 2008 iTest Problems
  <math>Good</math> <math>Luck!</math> Alexis stands on her toes too, reminding her brother that she is still taller than he. "When you're done,
  71 KB (11,749 words) - 00:31, 2 November 2023
• 2009 AMC 12A Problems/Problem 24
  == Solution (not a proof, but good enough for AMCs) == ...I figured if I had trouble understanding the above solutions, others would too.)
  10 KB (1,595 words) - 21:13, 20 September 2021
• 2010 USAJMO Problems/Problem 1
  ...han or equal to <math>f</math>, <math>g/f</math> must be a perfect square, too. Thus <math>g</math> is <math>f</math> times a square, but <math>g</math> c ...s a lot in this problem. When faced with combo/number theory, it is always good to draw a sketch. Never be scared to try a problem on the USAJMO. It takes
  12 KB (2,336 words) - 14:28, 28 October 2024
• Getting Started With Python Programming
  If you find that this is too easy, '''make sure you've read everything through (at least roughly)''', an ...reter such as [https://repl.it/languages/python3 this one]. There is not a good way for students to install Python on a Chromebook and use it as a learning
  14 KB (2,360 words) - 15:17, 25 September 2024
• 2006 IMO Problems/Problem 4
  ...then obviously <math>x\geq 0</math> and <math>(x,-y)</math> is a solution too. For <math>x=0</math> we get the two solutions <math>(0,2)</math> and <mat ...satisfy the given equation. Recall that then <math>y = -23</math> is also good. Thus we have the complete list of solutions <math>(x,y)</math>: <math>(0,
  2 KB (328 words) - 00:03, 19 November 2023
• Trigonometric Equations
  It is probably good to know how to solve trigonometric equations, which often involved brute fo Hey, there are only sines here! Too bad it's not being kept that way.
  8 KB (1,351 words) - 19:30, 10 July 2016
• CSS: Basics
  ...The last statement in an element does not require a semicolon, but it is a good practice to do so anyway.</div> However, it is considered good practice to do it the first way instead of the second and last way(s); it's
  3 KB (523 words) - 13:18, 11 March 2024
• 2012 AMC 10A Problems/Problem 20
  ...number of cases}}</math>, so E is not possible. Also, since the number of good cases must be an integer, C is not possible. From there, your chances of gu ...f the square. There are a total of 8 cases we must subtract (these are not too hard to see). Thus, there are <math>20</math> ways from this.<br>
  6 KB (1,016 words) - 18:55, 6 October 2024
• 2013 USAJMO Problems/Problem 2
  ...urrounding" mean that two cells have to touch on a side; one vertex is not good enough. ...l construction. Therefore, all the cells bordering a 1 have to be 2. Looks too simple for JMO, right?
  3 KB (627 words) - 21:33, 9 April 2018

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