Create the page "%s" on this wiki! See also the search results found.

Page title matches

• Van Aubel's Theorem
  ...; yielding centers <math>P_{AB}, P_{BC}, P_{CD}, P_{DA}</math>. Van Aubel's Theorem states that the two line segments connecting opposite centers are p dot("$q$",Q,S);
  2 KB (410 words) - 14:01, 4 March 2023
• Ballemy's Theorem
  82 bytes (17 words) - 19:19, 11 June 2024
• Bolzano's theorem
  '''Bolzano's Theorem''' is a special case of the [[Intermediate Value Theorem]], where <
  225 bytes (34 words) - 12:18, 30 May 2019
• Cauchy's Integral Formula
  '''Cauchy's Integral Formula''' is a fundamental result in by application of [[Cauchy's Integral Theorem]].
  4 KB (689 words) - 17:19, 18 January 2024
• L'Hopital's Rule
  #REDIRECT [[L'Hôpital's Rule]]
  31 bytes (4 words) - 21:27, 11 March 2022
• Liouville's Theorem (complex analysis)
  In [[complex analysis]], '''Liouville's Theorem''' states that a [[Picard's Little Theorem]] is a stronger result.
  2 KB (412 words) - 20:30, 16 January 2024
• Hilbert's Basis Theorem
  '''Hilbert's Basis Theorem''' is a result concerning [[Noetherian]] [[ring]]s. It states that if <math>A</math> is a (not necessarily [[commutative]])
  4 KB (617 words) - 19:59, 23 April 2023
• Schonemann's criterion
  See also [[Eisenstein's criterion]].
  1 KB (279 words) - 17:03, 31 October 2023
• Kirchhoff's rules
  Kirchhoff's rules
  406 bytes (67 words) - 20:36, 7 March 2014
• Talk:Newton's Inequality
  0 bytes (0 words) - 03:18, 31 March 2010
• Maine Business & Prof. Women's Club - Rachel E. Lemieux Youth Scholarship
  391 bytes (56 words) - 20:10, 2 December 2015
• KFC Colonel's Scholars Program
  * Plan to pursue a bachelor's degree at a public, in-state college or university
  721 bytes (101 words) - 17:36, 29 June 2022
• The Lowe's Scholarship
  ...for high school seniors who plan to enroll in undergraduate study in the U.S. Students within the U.S., including Lowe's employees and their children, are eligible.
  652 bytes (87 words) - 10:55, 23 July 2010
• Harry S. Truman Scholarship
  * a full-time junior-level student pursuing a bachelor's degree at a four-year institution (see website for a more specific definiti * nominated by the institution's Truman Scholarship Faculty Representative
  2 KB (239 words) - 11:15, 23 July 2010
• Carnot's Thereom
  #REDIRECT [[Carnot's Theorem]]
  30 bytes (3 words) - 20:11, 14 August 2010
• Hensel's Lemma
  55 bytes (9 words) - 17:43, 31 December 2015
• Newton's sums
  27 bytes (3 words) - 17:21, 23 October 2010
• Callebaut's Inequality
  '''Callebaut's Inequality''' states that for <math>1\ge x\ge y\ge 0,</math> <cmath> \sum_{
  1 KB (236 words) - 17:30, 4 December 2010
• ''See also: [[Hölder's Inequality]]'' '''Hölder's Inequality,''' a generalization of the '''Cauchy-Schwarz inequality''', sta
  1 KB (197 words) - 12:12, 29 October 2016
• Hölder's Inequality
  ...n, \dotsc, z_1, z_2, \dotsc, z_n</math> are [[nonnegative]] [[real number]]s and <math>\lambda_a, \lambda_b, \dotsc, \lambda_z</math> are nonnegative re ...||_p^p}, b=\frac{|g(x)|^q}{||g||_q^q},\alpha=1/p,\beta=1/q</math>. [[Young's Inequality]] gives us
  4 KB (762 words) - 00:11, 18 June 2023

Page text matches

• ARML historical results
  | [[New York City ARML]] (New York City S)
  20 KB (2,642 words) - 21:23, 1 June 2024
• Fermat's Little Theorem
  '''Fermat's Little Theorem''' is highly useful in [[number theory]] for simplifying the A frequently used corollary of Fermat's Little Theorem is <math>a^p \equiv a \pmod {p}</math>. As you can see, it i
  16 KB (2,658 words) - 16:02, 8 May 2024
• Chebyshev's Inequality
  '''Chebyshev's inequality''', named after [[Pafnuty Chebyshev]], states that if ...nce of the [[Rearrangement inequality]], which gives us that the sum <math>S=a_1b_{i_1}+a_2b_{i_2}+...+a_nb_{i_n} </math> is maximal when <math>i_k=k</m
  1 KB (214 words) - 20:32, 13 March 2022
• Euler's Totient Theorem
  '''Euler's Totient Theorem''' is a theorem closely related to his [[totient function]] Let <math>\phi(n)</math> be [[Euler's totient function]]. If <math>n</math> is a positive integer, <math>\phi{(n)
  3 KB (542 words) - 17:45, 21 March 2023
• Geometric inequality
  ...[inequality]] involving various measures ([[angle]]s, [[length]]s, [[area]]s, etc.) in [[geometry]]. ...equality extends this to [[obtuse triangle| obtuse]] and [[acute triangle]]s. The inequality says:
  7 KB (1,296 words) - 14:22, 22 October 2023
• Brahmagupta's Formula
  .../math>, <math>c</math>, <math>d</math> are the four side lengths and <math>s = \frac{a+b+c+d}{2}</math>. <cmath>16[ABCD]^2=16(s-a)(s-b)(s-c)(s-d)</cmath>
  3 KB (465 words) - 18:31, 3 July 2023
• Ptolemy's Theorem
  #REDIRECT[[Ptolemy's theorem]]
  30 bytes (3 words) - 17:37, 9 May 2021
• Ptolemy's theorem
  ...[equality condition | equality case]] of [[Ptolemy's Inequality]]. Ptolemy's theorem frequently shows up as an intermediate step in problems involving i ...ABCD</math> with side lengths <math>{a},{b},{c},{d}</math> and [[diagonal]]s <math>{e},{f}</math>:
  7 KB (1,198 words) - 20:39, 9 March 2024
• Elementary symmetric sum
  .../en.wikipedia.org/wiki/Sums_of_powers sums of powers], combined with Vieta's formulas. Elementary symmetric sums show up in [[Vieta's formulas]]. In a monic polynomial of degree <math>n</math>, the coefficient
  2 KB (275 words) - 12:51, 26 July 2023
• Cyclic quadrilateral
  * [[Ptolemy's Theorem]] * [[Brahmagupta's formula]]
  1 KB (162 words) - 20:39, 9 March 2024
• Vieta's Formula
  #REDIRECT[[Vieta's formulas]]
  29 bytes (3 words) - 00:31, 4 June 2022
• Algebra
  ...and usually denoted by a letter or symbol. Many contest problems test one's fluency with [[algebraic manipulation]]. ...ebra. [[Group]]s, [[ring]]s, [[field]]s, [[module]]s, and [[vector space]]s are common objects of study in higher algebra.
  3 KB (369 words) - 21:18, 18 June 2021
• Number theory/Advanced
  ...r theory include the [[Birch and Swinnerton-Dyer Conjecture]] and [[Fermat's Last Theorem]].
  5 KB (849 words) - 16:14, 18 May 2021
• Algebra/Intermediate
  ** [[Vieta's Formulas]] ** [[Newton's Sums]]
  2 KB (198 words) - 17:47, 3 November 2021
• Euler's totient function
  '''Euler's totient function''' <math>\phi(n)</math> applied to a [[positive integer]] ...p_m^{e_m} </math> where the <math>p_i </math> are distinct [[prime number]]s. Now, we can use a [[PIE]] argument to count the number of numbers less th
  5 KB (898 words) - 19:12, 28 January 2024
• Alabama ARML
  In some years, there are [[Alabama ARML TST]]'s that are written to help decide the team. From 2005-2008, the TST has been
  2 KB (258 words) - 00:50, 28 December 2021
• Contest strategies
  ...ea to stay up all night solving problems or playing video games because it's easy to get drowsy during the test. Getting a good night sleep can help re
  3 KB (538 words) - 13:13, 16 January 2021
• Rearrangement Inequality
  ...tation]] of a [[finite]] [[set]] (in fact, [[multiset]]) of [[real number]]s and <math>B=\{b_1,b_2,\cdots,b_n\}</math> is a permutation of another finit ...ath> and <math>a_k</math> with <math>b_j</math> (unless both a's or both b's are equal, in which case either we can choose another pair of products or n
  5 KB (804 words) - 13:54, 26 January 2023
• Real number
  ...th>, <math>\ 3+2i+2j+k</math>, i.e. [[complex number]]s, and [[quaternion]]s. ...these two classes are best understood as subsets of the [[complex number]]s.
  3 KB (496 words) - 23:22, 5 January 2022
• Divisibility rules
  ...integer]]s are [[divisibility | divisible]] by particular other [[integer]]s. All of these rules apply for [[Base number| base-10]] ''only'' -- other b ...s that are relatively prime to the base (and works GREAT in binary). Here's one that works. 12348 - 28 ==> 12320 ==> 1232 +28 ==> 1260 ==> 126 + 14 ==
  8 KB (1,298 words) - 15:07, 23 May 2024

View (previous 20 | next 20) (20 | 50 | 100 | 250 | 500)