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• New York State Math League
  ...f [[ARML]], with 15-member teams competing in Individual, Team, Relay, and Power rounds, although the scoring is slightly different. Teams compete in A and
  1 KB (201 words) - 14:39, 25 June 2023
• 1977 Canadian MO Problems/Problem 3
  ...est positive integer <math>b</math> for which <math>N</math> is the fourth power of an integer.
  713 bytes (114 words) - 01:45, 19 August 2012
• Mock AIME 1 2006-2007 Problems/Problem 7
  ...h> is cyclic, since <math>\angle AEB=\angle AFB</math>. We then have, from Power of a Point, that <math>CE\cdot CA=CF\cdot CB</math>. In other words, <math> As above, use Power of a Point to compute <math>CF=2</math> and <math>FB=1</math>. Since triang
  3 KB (518 words) - 16:54, 25 November 2015
• Mock AIME 2 2006-2007 Problems/Problem 12
  Also, from the Power of a Point Theorem, <math>DO \cdot BO=AO\cdot CO\Rightarrow CO=\frac{3a}{2}
  2 KB (311 words) - 10:53, 4 April 2012
• Algebra/Olympiad
  ** [[Arithmetic Mean-Geometric Mean | Arithmetic Mean-Geometric Mean Inequality]] ** [[Power Mean Inequality]]
  1 KB (100 words) - 16:22, 18 May 2021
• 1977 Canadian MO Problems
  ...est positive integer <math>b</math> for which <math>N</math> is the fourth power of an integer.
  3 KB (560 words) - 19:23, 10 March 2015
• Mean
  ...] of the set (also known as the [[average]]). For example, the arithmetic mean of the members of the set {3, 5, 10} is ==Mean, Median, Mode==
  1 KB (148 words) - 15:28, 12 November 2023
• 1971 Canadian MO Problems/Problem 1
  ...the circle at <math>P.</math> Let the radius be <math>r.</math> Applying [[power of a point]],
  680 bytes (114 words) - 21:38, 9 July 2019
• 2006 Romanian NMO Problems
  ...n</math> elements and let <math>\displaystyle \mathcal P (M)</math> be its power set. Find all functions <math>\displaystyle f : \mathcal P (M) \to \{ 0,1,2
  11 KB (1,779 words) - 14:57, 7 May 2012
• Geometry/Introduction
  * [[Power of a point]]
  1 KB (122 words) - 16:25, 18 May 2021
• Geometry/Olympiad
  * [[Power of a point theorem]]
  2 KB (242 words) - 10:16, 18 June 2023
• Divisor function
  ...ath>\sigma_k(n)</math> and is defined as the sum of the <math>k</math>th [[power]]s of the [[divisor]]s of <math>n</math>. Thus <math>\sigma_k(n) = \sum_{d ...lities. Likewise, since each divisor can have a power of 3, and since this power can be 0, 1, or 2, we have 3 possibilities. By an elementary [[counting]] p
  3 KB (511 words) - 06:58, 21 May 2009
• Leonhard Euler
  ...of [[mathematics]] called [[analysis]]. His achievements often involved [[power series]]. He is also credited with discovering [[Euler's constant]], denote He also discovered the power series for the [[tangent function|arctangent]], which is
  3 KB (500 words) - 21:28, 15 September 2008
• 1973 IMO Shortlist Problems/Bulgaria 1
  ...</math> is invariant, we may multiply both sides of the condition by that power to obtain
  2 KB (346 words) - 14:59, 30 July 2006
• Navier-Stokes Equation
  ...in the design of aircraft and cars, the study of blood flow, the design of power stations, the analysis of the effects of pollution, etc. Coupled with [[Max
  3 KB (553 words) - 22:08, 2 May 2022
• Binary relation
  ...to each other. We could also define a relation <math>\leq</math> on the [[power set]] of a set <math>S</math>, so that <math>(A,B) \in \leq</math>, or <mat
  4 KB (655 words) - 22:33, 18 May 2008
• Perfect cube
  ...raised to the third power. We refer to raising a [[number]] to the third power as ''cubing'' the number. * [[Perfect power]]
  704 bytes (91 words) - 14:12, 24 August 2023
• System of equations
  A system of [[linear]] equations is where all of the variables are to the power 1. There are three elementary ways to solve a system of linear equations.
  5 KB (784 words) - 23:27, 30 July 2020
• Graph of a function
  ...> and <math>x=1</math>. Since the coefficient of the term with the highest power (in this case <math>x^2</math>) is <math>2>0</math>, the graph is above the
  3 KB (497 words) - 05:11, 8 June 2023
• Stanford Mathematics Tournament
  The tournament consists of an individual round, a team round, a power round, and a guts round. '''Power Round'''
  1 KB (214 words) - 22:37, 10 November 2023

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