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• Mathematics summer program
  .... These programs mostly take place during the summer, but some last during a significant portion of the academic year. Selection is important in creatin ...programs listed below offer [[mathematics scholarships]] or financial aid. A few of them are free. When you discover more that do, please add that infor
  14 KB (1,824 words) - 01:56, 2 May 2024
• Science summer programs
  ...s Camp]] is a mini-bootcamp for grades 5-12 [https://mehtaplustutoring.com/ai-in-visual-arts/ Website] ...s Camp]] is a mini-bootcamp for grades 5-12 [https://mehtaplustutoring.com/ai-in-visual-arts/ Website]
  3 KB (413 words) - 22:40, 30 January 2023
• Computer summer programs
  ...s Camp]] is a mini-bootcamp for grades 5-12 [https://mehtaplustutoring.com/ai-in-visual-arts/ Website] ...s Camp]] is a mini-bootcamp for grades 5-12 [https://mehtaplustutoring.com/ai-in-visual-arts/ Website]
  5 KB (596 words) - 03:29, 1 March 2024
• Technology summer programs
  ...s Camp]] is a mini-bootcamp for grades 5-12 [https://mehtaplustutoring.com/ai-in-visual-arts/ Website] * [[MehtA+ Competitive Programming Bootcamp]] is a mini-bootcamp for grades 7-12 [https://mehtaplus.com/courses/competitive-pr
  4 KB (479 words) - 03:28, 1 March 2024
• Engineering summer programs
  ...s Camp]] is a mini-bootcamp for grades 5-12 [https://mehtaplustutoring.com/ai-in-visual-arts/ Website] ...s Camp]] is a mini-bootcamp for grades 5-12 [https://mehtaplustutoring.com/ai-in-visual-arts/ Website]
  3 KB (417 words) - 03:28, 1 March 2024
• Fermat's Little Theorem
  ...] (which students should study more at the introductory level if they have a hard time following the rest of this article). This theorem is credited to ...}</math> is not [[divisibility|divisible]] by <math>{p}</math>, then <math>a^{p-1}\equiv 1 \pmod {p}</math>.
  16 KB (2,658 words) - 16:02, 8 May 2024
• Physics summer programs
  ...a virtual research program for grades 8-12 [https://mehtaplustutoring.com/ai-ml-research-bootcamp/ Website] ...a virtual research program for grades 8-12 [https://mehtaplustutoring.com/ai-ml-research-bootcamp/ Website]
  3 KB (441 words) - 05:22, 3 March 2024
• Harmonic series
  Generally, a '''harmonic series''' is a [[series]] whose terms involve the [[reciprocal]]s of the [[positive intege The [[zeta-function]] is a harmonic series when the input is one.
  2 KB (334 words) - 20:52, 13 March 2022
• 1983 AIME Problems/Problem 15
  ...r arc <math>AB</math> is a rational number. If this number is expressed as a fraction <math>\frac{m}{n}</math> in lowest terms, what is the product <mat pair A=(-0.91,-0.41);
  19 KB (3,221 words) - 01:05, 7 February 2023
• 1997 AIME Problems/Problem 15
  ...ngle lies outside <math>ABCD</math>. The maximum possible [[area]] of such a triangle can be written in the form <math>p\sqrt{q}-r</math>, where <math>p ...{2} - \frac {a\sqrt {3}}{2}\right) + \left(\frac {11\sqrt {3}}{2} + \frac {a}{2}\right)i = b + 10i</math>.
  4 KB (609 words) - 22:49, 17 July 2023
• Inradius
  The '''inradius''' of a [[polygon]] is the [[radius]] of its [[incircle]] (assuming an incircle exi pair A=(0,0),B=(4,0),C=(1.5,2),I=incenter(A,B,C),F=foot(I,A,B);
  2 KB (336 words) - 00:44, 23 April 2024
• Euler line
  ...] <math>L</math>. It is named after [[Leonhard Euler]]. Its existence is a non-trivial fact of Euclidean [[geometry]]. Certain fixed orders and distan ...followed by a homothety with scale factor <math>2</math> centered at <math>A</math> brings <math>\triangle ABC \to \triangle O_AO_BO_C</math>. Let us ex
  59 KB (10,203 words) - 04:47, 30 August 2023
• 2004 USAMO Problems
  Let <math>ABCD </math> be a [[quadrilateral]] circumscribed about a circle, whose interior and exterior angles are at least <math>60 ^{\circ} < ...> are integers whose greatest common divisor is 1. Let <math>S </math> be a set of integers with the following properties:
  3 KB (474 words) - 09:20, 14 May 2021
• 2007 USAMO Problems/Problem 6
  ...[[internally tangent|tangent internally]] to <math>\Omega</math> at <math>A</math> and tangent internally to <math>\omega</math>. Let <math>P_A</math> pair A=(2,8), B=(0,0), C=(13,0), I=incenter(A,B,C), O=circumcenter(A,B,C), p_a, q_a, X, Y, X1, Y1, D, E, F;
  7 KB (1,274 words) - 15:11, 31 August 2017
• Chicken McNugget Theorem
  ...ritten in the form <math>am + bn</math> for [[nonnegative]] integers <math>a, b</math> is <math>mn-m-n</math>. A consequence of the theorem is that there are exactly <math>\frac{(m - 1)(n
  17 KB (2,748 words) - 19:22, 24 February 2024
• 1991 IMO Problems/Problem 1
  ...isectors of the angles <math>A,B,C</math> meet the opposite sides in <math>A^\prime,B^\prime,C^\prime</math> respectively. Prove that <math>\frac {1}{4} < \frac {AI\cdot BI\cdot CI}{AA^{\prime }\cdot BB^{\prime }\cdot CC^{\prime }} \leq \fr
  2 KB (311 words) - 09:40, 19 November 2023
• 2004 AMC 12B Problems/Problem 16
  A function <math>f</math> is defined by <math>f(z) = i\overline{z}</math>, wh <math>\mathrm{(A)}\ 0
  1 KB (240 words) - 12:59, 30 March 2023
• Isogonal conjugate
  ...nal conjugates''' are pairs of [[point]]s in the [[plane]] with respect to a certain [[triangle]]. ...ll</math> and a point <math>O</math> lying on <math>\ell</math> be given. A pair of lines symmetric with respect to <math>\ell</math> and containing t
  54 KB (9,416 words) - 08:40, 18 April 2024
• 2008 AIME I Problems/Problem 2
  pair E=(0,0), M=(10,0), I=(10,10), A=(0,10); draw(A--I--M--E--cycle);
  2 KB (250 words) - 19:37, 29 December 2020
• 2008 AIME II Problems/Problem 11
  pair A=(0,96),B=(-28,0),C=(28,0),X=C-(64/3,0),Y=B+(4*r/3,0),P=X+(0,16),Q=Y+(0,r),M D(A--B--C--cycle); D(Y--Q--P--X); D(Q--M); D(P--C,dashed);
  6 KB (1,065 words) - 20:12, 9 August 2022

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