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- ...kind of "quality control" for the development of trustworthy theories and equations which are important to people in most modern technical disciplines such as ...matics which are given to be true. Mathematicians then use various methods of formal [[proof]] to extend the axioms to come up with surprising and elegan6 KB (866 words) - 06:57, 17 January 2025
- An '''elementary symmetric sum''' is a type of [[summation]]. ...>1 \leq k \leq n</math>). For example, if <math>n = 4</math>, and our set of numbers is <math>\{a, b, c, d\}</math>, then:2 KB (275 words) - 11:51, 26 July 2023
- This article provides a short list of commonly used LaTeX symbols. ...[http://docs.mathjax.org/en/latest/tex.html#supported-latex-commands list of supported commands].16 KB (2,315 words) - 19:35, 4 November 2024
- ...rching band wishes to place the members into a formation that includes all of them and has no unfilled positions. If they are arranged in a square format the desired result can be obtained. Find the maximum number of members this8 KB (1,249 words) - 20:25, 20 November 2024
- ...<math>b</math> are integers such that <math>x^2 - x - 1</math> is a factor of <math>ax^{17} + bx^{16} + 1</math>. ...h> Since the coefficient of <math>x</math> must be zero, this gives us two equations, <math>F_{16}b + F_{17}a = 0</math> and <math>F_{15}b + F_{16}a + 1 = 0</ma10 KB (1,595 words) - 15:30, 24 August 2024
- ...]], and the first and fourth terms differ by <math>30</math>. Find the sum of the four terms. shows that <math>d</math> must contain a factor of 3.5 KB (921 words) - 22:21, 22 January 2023
- * [[Equation | Equations]] ** [[Linear equation | Linear equations]] (1 and 2 variables)991 bytes (86 words) - 14:58, 24 August 2024
- ...a dynamical statement of the balance of forces acting at any given region of the fluid. ...s, the analysis of the effects of pollution, etc. Coupled with [[Maxwell's Equations]] they can be used to model and study magnetohydrodynamics.3 KB (553 words) - 21:08, 2 May 2022
- ...]s which share the same [[variable]]s. Below is an example of a system of equations. ==Solve 2 variable equations in less than 5 seconds!!!==5 KB (786 words) - 15:11, 7 December 2024
- ...stems of linear equations. [[matrix|Matrices]] are useful for solving such systems.226 bytes (28 words) - 11:19, 27 September 2024
- .../math> denote the sum of the digits of <math>n.</math> For how many values of <math>n</math> is <math>n + S(n) + S(S(n)) = 2007?</math> ...n) + S(S(n))</math>. Obviously <math>n<2007</math>. Then the maximum value of <math>S(n) + S(S(n))</math> is when <math>n = 1999</math>, and the sum beco15 KB (2,558 words) - 22:08, 28 July 2024
- ...s in which both sides of the equation are [[polynomials]] or [[monomials]] of the first [[degree]] - i.e. each term does not have any variables to a powe ...re <math>a_i</math> is a series of constants, <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
- '''Cramer's Rule''' is a method of solving systems of equations using [[matrix|matrices]]. ...org/wiki/Determinant matrix determinant] to solve a system of ''n'' linear equations in ''n'' variables.2 KB (352 words) - 17:22, 11 October 2023
- ...es of dynamical systems include the [[logistic equation]] and the [[Lorenz equations]]. For the vast majority of dynamical systems, it is impossible to derive an exact solution, and so various approximation789 bytes (107 words) - 20:52, 18 October 2017
- ...re <math>105</math> and <math>91</math>, respectively. What is the volume of the pyramid? ...view of the pyramid from <math>\triangle BCE</math>. We have a systems of equations through the Pythagorean Theorem:1 KB (214 words) - 11:01, 2 February 2015
- ...e sums of the numbers in each row, column, and diagonal are the same. Five of these numbers are represented by <math> v </math>, <math> w </math>, <math> ==Systems of Equations==5 KB (721 words) - 15:44, 9 August 2022
- .... On one visit to the zoo, Margie counted 200 heads and 522 legs. How many of the animals that Margie counted were two-legged birds? ...number of four-legged mammals be <math>y</math>. We can now use systems of equations to solve this problem.2 KB (371 words) - 17:58, 15 April 2023
- In the figure, <math> ABCD </math> is a square of side length <math> 1 </math>. The rectangles <math> JKHG </math> and <math> ...h>. Then <math>HL=1</math>. Consider <math>HJ</math>. It is the hypotenuse of both right triangles <math>\triangle HGJ</math> and <math>\triangle HLJ</ma8 KB (1,307 words) - 01:07, 1 January 2023
- ...umber of distinct points in the <math>xy</math>-plane common to the graphs of <math>(x+y-5)(2x-3y+5)=0</math> and <math>(x-y+1)(3x+2y-12)=0</math> is ...the graph <math>(x -y + 1)(3x + 2y - 12) = 0</math> is the combined graphs of <math>x-y+1=0</math> and <math>3x+2y-12=0</math>. All these lines intersect2 KB (271 words) - 19:16, 27 August 2023
- The North Suburban Math League is a group of schools in the Chicago area that compete in five math competitions througho | Systems of Linear Equations and Inequalities4 KB (594 words) - 09:21, 31 August 2021