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• List of United States middle school mathematics competitions
  * [https://pimathcontest.org/ Pi Math Contest] is a two-round math competition for elementary and middle sch *[[SIGMA]] is a 5 round 8 question 30 minute competition for 5th-9th graders with di
  7 KB (792 words) - 10:14, 23 April 2024
• Physics scholarships
  * [[Sigma Pi Sigma]]
  2 KB (229 words) - 12:37, 8 July 2019
• Riemann Hypothesis
  ...th>. Then an equivalent statement of the Riemann hypothesis is that <math>\pi(x)=\mathrm{Li}(x)+O(x^{1/2}\ln(x))</math>. * <math>\sigma(n) < e^\gamma n\ log_{log_n}</math> for all <math>n > 5040</math>. This be
  2 KB (425 words) - 12:01, 20 October 2016
• LaTeX:Symbols
  |<math>\pi</math>||\pi||<math>\varpi</math>||\varpi||<math>\rho</math>||\rho||<math>\varrho</math> | <math>\sigma</math>||\sigma||<math>\varsigma</math>||\varsigma||<math>\tau</math>||\tau||<math>\upsilon
  16 KB (2,324 words) - 16:50, 19 February 2024
• Pi notation
  ...ct of terms. It is similar to [[Sigma notation]] but uses a capital letter Pi.
  424 bytes (85 words) - 17:23, 8 February 2024
• LaTeX:Commands
  ...ma\frac{1}{r}\frac{\partial U}{\partial n} ds</math>||\frac{1}{4\pi}\oint_\Sigma\frac{1}{r}\frac{\partial U}{\partial n} ds {$\frac{1}{e}$} {$\frac{2}{\pi}$}
  12 KB (1,898 words) - 15:31, 22 February 2024
• 1991 USAMO Problems/Problem 2
  ...<math>\,S\,</math> of numbers, let <math>\,\sigma(S)\,</math> and <math>\,\pi(S)\,</math> denote the sum and product, respectively, of the elements of <m <cmath> \sum \frac{\sigma(S)}{\pi(S)} = (n^2 + 2n) - \left( 1 + \frac{1}{2} + \frac{1}{3} + \cdots + \frac{1}
  3 KB (490 words) - 07:38, 19 July 2016
• 1991 USAMO Problems
  ...<math>\,S\,</math> of numbers, let <math>\,\sigma(S)\,</math> and <math>\,\pi(S)\,</math> denote the sum and product, respectively, of the elements of <m <cmath> \sum \frac{\sigma(S)}{\pi(S)} = (n^2 + 2n) - \left( 1 + \frac{1}{2} + \frac{1}{3} + \cdots + \frac{1}
  3 KB (512 words) - 19:17, 18 July 2016
• 1994 USAMO Problems
  ...m{m - \sigma(U)}{|S|} = \pi(S) </cmath> for all integers <math>\, m \geq \sigma(S)</math>.
  2 KB (391 words) - 07:58, 19 July 2016
• 2013 AIME I Problems/Problem 14
  For <math>\pi \le \theta < 2\pi</math>, let ...>\sin \theta = -17/19, 1/3.</math> Since we're given <math>\pi\leq\theta<2\pi,</math> <math>\sin\theta</math> is nonpositive. We therefore use the negati
  10 KB (1,641 words) - 20:03, 3 January 2024
• 1994 USAMO Problems/Problem 5
  ...m{m - \sigma(U)}{|S|} = \pi(S) </cmath> for all integers <math>\, m \geq \sigma(S)</math>. ...lection to prove <math>\left|\bigcup_{k \in U}A_k\right| = \binom{m}{|S|}-\pi(S)</math>, since we can use PIE to show that <math>\left|\bigcup_{k \in U}A
  3 KB (628 words) - 10:42, 4 August 2023
• Normal distribution
  ...re <math>\mu</math> represents the [[mean]] of the distribution and <math>\sigma</math> represents the [[standard deviation]] of the distribution. All norma ...</math> is <math>f(x) = \frac{1}{\sqrt{2\pi\sigma}} e^{-\frac{(x-\mu)^2}{2\sigma}}</math>, and the [[cdf|cumulative density function]] of this distribution
  1 KB (214 words) - 22:32, 12 April 2020
• Functional equation for the zeta function
  \zeta(s)=2^s\pi^{s-1}\sin\left(\pi s\over2\right)\Gamma(1-s)\zeta(1-s) B_1(x)\triangleq\{x\}-\frac12=-\sum_{n=1}^\infty{\sin(2\pi nx)\over\pi n}
  4 KB (682 words) - 03:56, 13 January 2021
• 2022 AMC 12A Problems/Problem 17
  has more than one solution in the interval <math>(0, \pi)</math>. The set of all such <math>a</math> that can be written Since <math>\sin{x} \ne 0</math> as it is on the open interval <math>(0, \pi)</math>, we can divide out <math>\sin{x}</math> from both sides, leaving us
  6 KB (1,001 words) - 21:27, 17 March 2024