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• Polynomial
  ...algebra]] often an arbitrary [[field]]). Note that a [[constant]] is also a polynomial. * <math>4x^2 + 6x - 9</math>, in the variable <math>x</math>
  6 KB (1,100 words) - 14:57, 30 August 2024
• Quadratic equation
  ...s, they do not depend on <math>x</math>) and <math>x</math> is the unknown variable. Quadratic equations are solved using one of three main strategies: [[fact The purpose of factoring is to turn a general quadratic into a product of [[binomial]]s. This is easier to illustrate than to describe.
  2 KB (264 words) - 11:04, 15 July 2021
• Complex analysis
  ...ctions of a real variable that cannot occur in complex variables. Here are a few spectacular results in complex analysis. ...ly connected]] [[domain]] ''D'', and let <math>\Gamma\subseteq D</math> be a [[simple closed Jordan curve]]. Then for any <math>z_0</math> in the interi
  2 KB (271 words) - 21:06, 12 April 2022
• 2004 AMC 12A Problems
  {{AMC12 Problems|year=2004|ab=A}} <math>\text{(A) } 0.0029 \qquad \text{(B) } 0.029 \qquad \text{(C) } 0.29 \qquad \text{(D)
  13 KB (1,953 words) - 23:31, 25 January 2023
• 1985 AIME Problems/Problem 12
  ...= \frac{n}{729}</math> be the probability that the bug is at vertex <math>A</math> when it has crawled exactly <math>7</math> meters. Find the value of == Solution 1 (Single Variable Recursion) ==
  19 KB (3,128 words) - 20:38, 23 July 2024
• Expected value
  Given an event with a variety of different possible outcomes, the '''expected value''' is what on A video that goes over the type of Expected value, practical examples, and pr
  5 KB (789 words) - 19:56, 10 May 2024
• System of equations
  ...[[equation]]s which share the same [[variable]]s. Below is an example of a system of equations. <cmath>\left\{\begin{array}{l}a^2 + b^2 = 25\\a+b=7\end{array}\right.</cmath>
  5 KB (784 words) - 22:27, 30 July 2020
• Linear congruence
  A '''Linear Congruence''' is a [[congruence]] [[modular arithmetic|mod]] p of the form ...c</math>, and <math>p</math> are [[constant]]s and <math>x</math> is the [[variable]] to be solved for.
  1 KB (225 words) - 14:52, 3 August 2022
• Coefficient
  ...]] of a specified object. The object can be a [[variable]], a [[vector]], a [[function]], or anything else that might be subject to multiplication. ...ficients of: 5 also has a coefficient in <math>5a + b</math>, namely <math>a</math>.
  1 KB (227 words) - 21:38, 6 October 2020
• Linear equation
  ...]] of the first [[degree]] - i.e. each term does not have any variables to a power other than one. ...ants, <math>b_i</math> is a series of variables, and <math>c</math> is a [[constant]].
  1 KB (257 words) - 12:39, 14 July 2021
• Algebraic manipulation
  ...doing opposite operations (undoing) to any equation to solve for a certain variable (often by isolation). Cross multiplication is a common method of solving [[proportions]]. Essentially, one is multiplying
  4 KB (562 words) - 17:49, 8 November 2020
• KGS math club
  A group of people on [http://www.gokgs.com Kiseido Go Server] Mathematics roo ...our, or of a less-than-or-equal rank. What is the greatest possible length a parade can reach?
  22 KB (3,358 words) - 14:17, 18 July 2017
• 1988 IMO Problems/Problem 1
  ...r <math>O</math>. Fix <math>P</math> on the small circle and consider the variable chord <math>AP</math> of the small circle. Points <math>B</math> and <math> ...U</math> of <math>AB</math> and <math>V</math> of <math>AC</math> as <math>A</math> varies?</li>
  3 KB (545 words) - 10:32, 30 January 2021
• 1976 USAMO Problems/Problem 2
  ...>AX</math> and <math>BY</math>. You may assume that <math>AB</math> is not a diameter. pair A=r*expi(5*pi/6), B=r*expi(pi/6), X=r*expi(pi/3), X1=r*expi(-pi/12), Y=r*expi
  5 KB (848 words) - 22:41, 6 July 2020
• 2008 AMC 12B Problems/Problem 20
  ...Michael stops for <math>30</math> seconds at each pail. As Michael passes a pail, he notices the truck ahead of him just leaving the next pail. How man <math>\mathrm{(A)}\ 4\qquad\mathrm{(B)}\ 5\qquad\mathrm{(C)}\ 6\qquad\mathrm{(D)}\ 7\qquad\m
  8 KB (1,241 words) - 16:55, 11 August 2023
• 1973 IMO Problems
  ...nit vectors such that points <math>P_1, P_2, \ldots, P_n</math> all lie in a plane containing <math>g</math> and on one side of <math>g</math>. Prove th ...s in space not lying in the same plane such that, for any two points <math>A</math> and <math>B</math> of <math>M</math>, one can select two other point
  3 KB (602 words) - 14:44, 29 January 2021
• Class (computer programming)
  In object-oriented programming, a '''class''' is a type of object. Objects of a certain class are said to be '''instances''' of that class. For example, < ...them. Attributes that are different for each instance (rather than being constant) are also called '''instance variables'''.
  6 KB (954 words) - 00:34, 7 September 2011
• Lagrange Multipliers
  This article discusses Lagrange multipliers, a topic of multivariable calculus. ...minimum or maximum satisfying both requirements (<math>\lambda</math> is a constant):
  5 KB (791 words) - 20:06, 30 November 2020
• 1964 AHSME Problems/Problem 36
  ...ath>T</math> and intersecting lines <math>AC</math> and <math>BC</math> in variable points <math>M</math> and <math>N</math>, respectively. Let <math>n</math> <math>\textbf{(A) }\text{varies from }30^{\circ}\text{ to }90^{\circ}</math>
  1 KB (212 words) - 18:28, 18 April 2020
• 1964 AHSME Problems
  <math>\textbf{(A)}\ \log_{10}50 \qquad <math>\textbf{(A)}\ \text{a parabola} \qquad
  19 KB (2,907 words) - 13:16, 20 February 2020

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