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• MATHCOUNTS
  ...er), 2-2.5 (State/National)<br><u>Target:</u> 1.5 (School), 2 (Chapter), 2-2.5 (State/National)}} 8 problems are given 2 at a time. Students have 6 minutes to complete each set of two problems. S
  10 KB (1,497 words) - 11:42, 10 March 2024
• Resources for mathematics competitions
  * [[Mu Alpha Theta]].org hosts past [http://www.mualphatheta.org/index.php?chapters/nati '''[https://drive.google.com/file/d/0B8JbOaFM5Xo_bnc2NUd0dDFLY1U/view?pref=2&pli=AIME AIME problems sorted by difficulty]'''
  16 KB (2,152 words) - 21:46, 6 May 2024
• Mu Alpha Theta
  ...ers host numerous [[mathematics competitions]] and each year a national Mu Alpha Theta convention is held during the summer that includes a large competitio ...ganized into three groups- Mu, Alpha and Theta. Theta is the lowest level, Alpha is higher and Mu is the highest.
  4 KB (632 words) - 17:09, 11 October 2020
• Real number
  ...h>, and so on. Numbers that are not real are <math>\ 3i</math>, <math>\ 3+2.5i</math>, <math>\ 3+2i+2j+k</math>, i.e. [[complex number]]s, and [[quater Let <math>\alpha\subset\mathbb{Q}</math> be non-empty
  3 KB (496 words) - 23:22, 5 January 2022
• National Scholarships
  * [[Alpha Kappa Alpha scholarships]] based on merit or financial need. [http://www.akaeaf.org/pro ...emand and assist the next generation of professionals, Porch will award a $2,000 scholarship four times a year to eligible students [https://porch.com/r
  4 KB (538 words) - 00:48, 28 January 2024
• Trigonometric identities
  ...agorean identities, divide by either <math>\sin^2 (x)</math> or <math>\cos^2 (x)</math> and substitute the respective trigonometry in place of the ratio * <math>\sin (2x) = 2\sin (x) \cos (x)</math>
  8 KB (1,397 words) - 21:55, 20 January 2024
• Newton's Sums
  <cmath>a_nP_2 + a_{n-1}P_1 + 2a_{n-2}=0</cmath> <cmath>a_nP_3 + a_{n-1}P_2 + a_{n-2}P_1 + 3a_{n-3}=0</cmath>
  4 KB (690 words) - 13:11, 20 February 2024
• Rational approximation
  Consider the [[fractional part]]s <math>\{0\cdot x\},\{1\cdot x\}, \{2\cdot x\},\dots, \{n\cdot x\}</math>. They all belong to the [[half-open int ...ns <math>\frac pq</math> such that <math>\left|x-\frac pq\right|<\frac 1{q^2}</math>.
  7 KB (1,290 words) - 12:18, 30 May 2019
• ...a}</math> and <math>\mathbf{b}</math>, and <math>\lambda_a = \lambda_b = 1/2</math>, this is the elementary form of the [[Cauchy-Schwarz Inequality]]. ...th>. Let <math>a=\frac{|f(x)|^p}{||f||_p^p}, b=\frac{|g(x)|^q}{||g||_q^q},\alpha=1/p,\beta=1/q</math>. [[Young's Inequality]] gives us
  4 KB (774 words) - 12:12, 29 October 2016
• Algebraic topology
  ...ows: <math>g\cdot h(a)=\begin{cases} g(2a) & 0\le a\le 1/2, \\ h(2a-1) & 1/2\le a\le 1.\end{cases}</math> One can check that this is indeed [[well-defin ...multiplication on <math>\pi_1(X)</math> given by <math>(\alpha\beta)(t) = \alpha(t)\beta(t)</math>, which is "compatible" with the concatenation in the foll
  3 KB (479 words) - 15:35, 1 December 2015
• LaTeX:Symbols
  |<math>\alpha</math>||\alpha||<math>\beta</math>||\beta||<math>\gamma</math>||\gamma||<math>\delta</math :<tt>(\frac{a}{x} )^2</tt>
  16 KB (2,324 words) - 16:50, 19 February 2024
• 2003 AMC 12B Problems
  <cmath>\frac{2-4+6-8+10-12+14}{3-6+9-12+15-18+21}?</cmath> \text {(A) } -1 \qquad \text {(B) } -\frac{2}{3} \qquad \text {(C) } \frac{2}{3} \qquad \text {(D) } 1 \qquad \text {(E) } \frac{14}{3}
  13 KB (1,987 words) - 18:53, 10 December 2022
• 2006 AMC 12B Problems/Problem 23
  ...}</math> and <math>\overline{BC}</math> have length <math>s=\sqrt{a+b\sqrt{2}}</math>, where <math>a</math> and <math>b</math> are positive integers. W pair B = (0,sqrt(85+42*sqrt(2)));
  7 KB (1,169 words) - 14:04, 10 June 2022
• Mathematical convention
  ...that one evaluates multiplication before addition in the expression <math>2 + 3\times4</math> is merely conventional: there is nothing inherently signi ...to denote a convention whose purpose is mathematical. For instance, [[Mu Alpha Theta]] describes its yearly gatherings as conventions.
  1 KB (181 words) - 12:10, 27 November 2009
• 2005 AIME II Problems/Problem 12
  ..."\(x\)",E/2+G/2,(0,1));label("\(y\)",G/2+F/2,(0,1)); label("\(450\)",(O+G)/2,(-1,1)); ...o find that <math>1 - \frac{xy}{450^2} = \frac 89 \Longrightarrow xy = 150^2</math>.
  13 KB (2,080 words) - 21:20, 11 December 2022
• Euler's identity
  Start with <math>e^{i(\alpha + \beta)} = (e^{i\alpha})(e^{i\beta})</math>, and apply Euler's forumla both sides: \cos(\alpha + \beta) + i \sin(\alpha + \beta) = (\cos\alpha + i\sin\alpha)(\cos\beta + i\sin\beta).</math>
  3 KB (452 words) - 23:17, 4 January 2021
• 2005 AIME II Problems/Problem 14
  \frac{CD \cdot CE}{AC^2} &= \frac{\sin CAD}{\sin ADC} \cdot \frac{\sin CAE}{\sin AEC} \\ ...BAE}{\sin AEB} \cdot \frac{\sin BAD}{\sin ADB}\\ &= \frac{BE \cdot BD}{AB^2}
  13 KB (2,129 words) - 18:56, 1 January 2024
• 2004 AIME I Problems/Problem 5
  ...ivided by points attempted) on each day was less than Alpha's on that day. Alpha's two-day success ratio was 300/500 = 3/5. The largest possible two-day suc ...umber he gets right. Let <math>b</math> be the number he gets right on day 2.
  3 KB (436 words) - 18:31, 9 January 2024
• 2004 AIME I Problems
  == Problem 2 == [[2004 AIME I Problems/Problem 2|Solution]]
  9 KB (1,434 words) - 13:34, 29 December 2021
• 1989 AIME Problems
  == Problem 2 == [[1989 AIME Problems/Problem 2|Solution]]
  7 KB (1,045 words) - 20:47, 14 December 2023

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