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• 1988 AJHSME Problems
  Placing no more than one <math>\text{X}</math> in each small square, what is the great
  14 KB (1,872 words) - 15:23, 17 January 2023
• 2009 AIME I Problems
  ...f a Martian, no Martian can sit immediately to the left of a Venusian, and no Venusian can sit immediately to the left of an Earthling. The number of po
  7 KB (1,152 words) - 02:24, 23 July 2021
• 2009 AIME I Problems/Problem 10
  ...f a Martian, no Martian can sit immediately to the left of a Venusian, and no Venusian can sit immediately to the left of an Earthling. The number of po
  4 KB (590 words) - 16:49, 27 September 2023
• 2009 AIME I Problems/Problem 7
  ...math>25</math>: <cmath>3n + 2 = 25</cmath> <cmath>3n = 23</cmath> This has no integral solutions, so we try <math>125</math>: <cmath>3n + 2 = 125</cmath>
  2 KB (340 words) - 00:26, 9 January 2023
• 2009 AIME I Problems/Problem 4
  Assign <math>A = (0,0)</math>. Since there are no constraints in the problem against this, assume <math>ABCD</math> to be a r
  7 KB (1,117 words) - 00:23, 9 January 2023
• 2005 USAMO Problems/Problem 5
  ...ger greater than 1. Suppose <math>2n</math> points are given in the plane, no three of which are collinear. Suppose <math>n</math> of the given <math>2n< ...x hull, and without loss of generality we can say it is blue (if there are no red we can change all the colors, and end up with an equivalent setup). Con
  4 KB (729 words) - 06:29, 21 January 2024
• C++
  ...r ".cc". The executable file will have the extension ".exe" on Windows and no extension on Unix-like operating systems
  1,013 bytes (175 words) - 01:45, 28 May 2012
• 2005 USAMO Problems/Problem 6
  ''Proof.'' Suppose a set <math>T</math> has no nonempty subset with sum divisible by <math>m</math>. Look at the possible
  4 KB (725 words) - 23:59, 29 March 2016
• Liouville's Theorem (complex analysis)
  that <math>\text{Im}\,f</math> has no point within <math>\epsilon</math> of <math>z_0</math>. Then
  2 KB (412 words) - 20:30, 16 January 2024
• 2009 AIME II Problems
  ...>k</math> pairs <math>\{a_i,b_i\}</math> with <math>a_i<b_i</math> so that no two pairs have a common element. Suppose that all the sums <math>a_i+b_i</m
  8 KB (1,366 words) - 21:33, 3 January 2021
• 2009 AIME II Problems/Problem 4
  ...h <math>n=89</math> and <math>45-4=41</math> kids, and we also showed that no smaller solution exists. Therefore the answer is <math>\boxed{089}</math>.
  4 KB (762 words) - 18:40, 12 January 2024
• 2009 AIME II Problems/Problem 6
  ...t subset in <math>{14\choose 5}</math> ways. We will now count those where no two numbers are consecutive. We will show a bijection between this set, and ...>B</math>s. As no two numbers were consecutive, we know that in our string no two <math>A</math>s are consecutive. We can now remove exactly one <math>B<
  5 KB (921 words) - 00:15, 11 December 2022
• 2009 AIME II Problems/Problem 11
  Obviously there is no solution for <math>n=1</math>. For <math>n>1</math> the left inequality can * For <math>n=4,5,6,7</math> our inequality has no integer solutions for <math>m</math>.
  2 KB (343 words) - 15:18, 21 May 2023
• 2009 AIME II Problems/Problem 12
  ...>k</math> pairs <math>\{a_i,b_i\}</math> with <math>a_i<b_i</math> so that no two pairs have a common element. Suppose that all the sums <math>a_i+b_i</m ...solution for <math>k=\boxed{803}</math> and that for larger <math>k</math> no solution exists.
  3 KB (435 words) - 14:20, 14 May 2024
• 2000 AMC 8 Problems
  ...d using blocks that are 1 foot high and either 2 feet long or 1 foot long (no blocks may be cut). The vertical joins in the blocks must be staggered as s
  15 KB (2,165 words) - 18:29, 5 June 2024
• Ascending chain condition
  Now, suppose that some subset of <math>S</math> has no maximal element. Then
  2 KB (314 words) - 18:00, 15 December 2018
• 2009 AIME II Problems/Problem 7
  ...pression will be in the form <math>1 \cdot 2^a</math>. Since there will be no odd factors in the denominators, all the denominators will be in the form < ...^{2i}}</math>. Clearly <math>b = 1</math> as in all the summands there are no non-power of 2 factors in the denominator. So we seek to find <math>a</math
  8 KB (1,312 words) - 16:23, 30 March 2024
• Determinant
  ...Ad Hoc Constructions". ''American Mathematical Monthly'' '''111''' (2004), no. 9, p. 761, Nov. 2004. [http://www.mathcs.emory.edu/~skip/dets/dets.pdf Pre
  8 KB (1,345 words) - 00:31, 9 May 2020
• 1988 AJHSME Problems/Problem 16
  Placing no more than one <math>\text{X}</math> in each small [[square]], what is the g
  937 bytes (152 words) - 23:55, 4 July 2013
• Radical axis
  ''Note:'' No solutions will be provided to the following problems(laziness). If you are
  12 KB (2,125 words) - 08:38, 23 May 2024

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