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• 2007 AMC 12B Problems/Problem 19
  <math>V = \pi \left(\frac{3}{\pi}\right)^2\cdot 6\sin\theta</math>
  1 KB (166 words) - 16:35, 15 February 2021
• 1985 AJHSME Problems
  label("V",(1.5,.3),N); ...bf{(A)}\ \text{Z} \qquad \textbf{(B)}\ \text{U} \qquad \textbf{(C)}\ \text{V} \qquad \textbf{(D)}\ \ \text{W} \qquad \textbf{(E)}\ \text{Y}</math>
  12 KB (1,670 words) - 17:42, 24 November 2021
• Mock AIME 5 Pre 2005 Problems
  ...>. Y is on <math>\overline {ST}</math>, dividing <math>SY:YT = 2:1</math>. V is on <math>\overline {XY}</math>, dividing <math>XV:VY = 1:2</math>. It is
  6 KB (909 words) - 07:27, 12 October 2022
• 1974 USAMO Problems/Problem 5
  ...le ADB = \angle BDC = \angle CDA = 120^\circ</math>. Prove that <math>x=u+v+w</math>. label("$v$",(B+D)/2,N);
  7 KB (1,221 words) - 18:57, 3 July 2013
• 2005 USAMO Problems/Problem 3
  ...math> Substituting in <math>P</math> yields <cmath>-a^2p(1-p)+vp=0\implies v = a^2(1-p).</cmath> Substituting in <math>B_1</math> yields
  6 KB (1,117 words) - 01:17, 11 October 2021
• Cone
  ...me of a pyramid, <math>V = \frac{1}{3} \cdot B \cdot h</math>, where <math>V</math> is the volume, <math>B</math> is the area of the base and <math>h</m
  7 KB (1,128 words) - 20:12, 27 September 2022
• 2008 USAMO Problems/Problem 6
  ...space]] of all such functions. Define the linear operator <math>A : V \to V</math> as <cmath>(Af)(v) = \sum_{v \sim w} f(v) - f(w)</cmath>
  13 KB (2,414 words) - 14:37, 11 July 2016
• 2008 Mock ARML 1 Problems/Problem 3
  pair v(int n){ return dir(n * 60); } ...0))--MP("B",v(1),N)--MP("C",v(2),N)--MP("D",v(3),SW)--MP("E",v(4))--MP("F",v(5))--cycle);
  3 KB (425 words) - 22:32, 5 December 2020
• Schrodinger Equation
  ...ing the Hamiltonian, usually of the form <math>-\frac{\hbar^2}{2m}\Delta + V</math> where <math>\Delta</math> is the relevant Laplace(-Beltrami) operato
  417 bytes (69 words) - 14:32, 21 April 2018
• Jean-Victor Poncelet
  *Didion 1870. ''Notice sur la vie et les ouvrages du général J. V. Poncelet''
  2 KB (253 words) - 11:41, 19 December 2018
• 1988 IMO Problems/Problem 1
  ...ble positions of the midpoints <math>U</math> of <math>AB</math> and <math>V</math> of <math>AC</math> as <math>A</math> varies?</li> We claim that all points <math>U,V</math> lie on a circle centered at the midpoint of <math>OP</math>, <math>M
  3 KB (545 words) - 11:32, 30 January 2021
• 1997 PMWC Problems/Problem T1
  ...uilateral triangle with sides of length three units. <math>U</math>, <math>V</math>, <math>W</math>, <math>X</math>, <math>Y</math>, and <math>Z</math> label("$V$",(-1/3,sqrt(3)/6),NW);
  1 KB (188 words) - 14:38, 20 April 2014
• Category (category theory)
  ...nd there is a morphism <math>U \to V</math> if and only if <math>U \subset V</math>.
  5 KB (792 words) - 19:01, 7 April 2012
• 1991 IMO Problems/Problem 4
  ...each step in the process we remove a number of vertices from the set <math>V</math> if their exists an edge sorrounding it which is labelled. Additiona ...of the vertices not in <math>V</math>. Notice that since <math>v_1,v_n\in V</math> the edge connecting <math>v_0</math> and <math>v_1</math> and the ed
  4 KB (668 words) - 17:45, 30 January 2021
• 2001 IMO Problems/Problem 4
  ..., there exists a <math>v\in\{1,2,...,m!\}</math> such that <math>t\equiv f(v)\pmod{m!}</math>. So, let <math>t\equiv f(v_t)\pmod{m!}</math>. Consider
  2 KB (416 words) - 20:01, 19 May 2023
• Acceleration
  ...known to be constant, then <cmath>\textbf{a} = \frac{\textbf{v}_2 -\textbf{v}_1 }{t_2 - t_1}</cmath> Note that velocity is a vector, so the magnitudes c ...instance, <cmath>\textbf{a} = \lim_{h\to 0} \frac{v(t+h)-v(t)}{(t+h)-t} = v'(t)</cmath>
  2 KB (277 words) - 14:04, 24 April 2022
• 2001 USAMO Problems/Problem 3
  ...h>b = 2\sin u</math> and <math>c = 2\sin v</math>, where <math>0^\circ < u,v < 90^\circ</math>. Then <cmath>a = 2(-\sin u\sin v + \cos u\cos v) = 2\cos (u + v),</cmath>
  4 KB (807 words) - 10:45, 9 April 2023
• Time dilation
  <math>\dfrac{t_1}{\sqrt{1-v^2/c^2}}=t_2</math> <math>v</math> is the relative velocity the ovject is moving to the observer.
  1 KB (261 words) - 00:19, 31 January 2021
• Lorentz Factor
  It is equivalent to <math>\gamma=\dfrac{1}{\sqrt{1-v^2/c^2}}</math>
  226 bytes (34 words) - 11:23, 5 October 2012
• 1992 USAMO Problems/Problem 4
  By another person ^v^
  5 KB (807 words) - 18:37, 25 June 2021

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