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  • This is generalized by the [[Geometric inequality#Pythagorean_Inequality|Pythagorean Inequality
    6 KB (943 words) - 09:44, 17 January 2025
  • The '''Power Mean Inequality''' is a generalized form of the multi-variable [[Arithmetic Mean-Geometric Mean]] Inequality.
    3 KB (619 words) - 12:57, 23 August 2024
  • ...m a/2,\pm a/2, \ldots, \pm a/2)</math>. A hypercube is essentially a cube, generalized to higher dimensions. This hypercube consists of <math>a^p</math> separate
    16 KB (2,660 words) - 22:42, 28 August 2024
  • The Binomial Theorem was generalized by [[Isaac Newton]], who used an [[infinite]] [[series]] to allow for compl
    5 KB (935 words) - 12:11, 20 February 2024
  • The '''Henstock-Kurzweil integral''' (also known as the '''Generalized Riemann integral''') is one of the most widely applicable generalizations o We say that <math>f</math> is ''Generalized Riemann Integrable'' on <math>[a,b]</math> if and only if, <math>\forall\ep
    2 KB (401 words) - 08:46, 31 January 2018
  • === Generalized Form ===
    2 KB (398 words) - 15:57, 29 December 2021
  • The Dirichlet's theorem can be generalized in various ways. The first way is that one can try to approximate several n
    7 KB (1,290 words) - 11:18, 30 May 2019
  • ...of the form <math>\sum_{n=1}^\infty \frac{a_n}{n^s}</math>. This is the [[generalized]] Riemann Hypothesis because in the Riemann Hypothesis, <math>a_n</math> is
    2 KB (425 words) - 02:18, 29 June 2024
  • == Solution 1 (Algebra: Generalized) ==
    3 KB (460 words) - 23:44, 4 February 2022
  • <math>^\dagger</math>This form can be found by applying Newton's generalized binomial theorem.
    5 KB (923 words) - 12:17, 16 September 2024
  • == Solution 1 (Generalized)==
    5 KB (712 words) - 17:25, 31 August 2024
  • ...> for a <math>2</math> x <math>2</math> square. This pattern can be easily generalized and we see that the number of squares is just <math>\sum^8_{i=1}{i^2}</math
    3 KB (416 words) - 20:09, 27 October 2022
  • ===Solution 4.1 (solution 4 but rigorized and generalized)=== So finally, our final, generalized transition matrix after any number of steps <math>n</math> is:
    15 KB (2,406 words) - 22:56, 23 November 2023
  • ...h>16</math>, and realize that each of these <math>6</math> pairings can be generalized to become one of these multiples of <math>16</math>.
    3 KB (403 words) - 11:10, 9 September 2023
  • Disjointness can be generalized to several sets in more than one way. One possibility is the notion of ''p
    853 bytes (121 words) - 12:38, 29 October 2006
  • ...inese Remainder Theorem. For instance, [[Fermat's Little Theorem]] may be generalized to the [[Fermat-Euler Theorem]] in this manner.
    6 KB (1,022 words) - 13:57, 6 May 2023
  • ===Solution 4 ( generalized )=== ...tion to a slightly generalized version. The defining recursive sequence is generalized to
    13 KB (2,214 words) - 16:39, 28 November 2024
  • ...the [[ratio]]s into which they divide [[line segment]]s. Mass points are generalized by [[barycentric coordinates]].
    5 KB (852 words) - 05:56, 15 January 2025
  • The notion of an increasing function is generalized to the context of [[partially ordered set]]s by [[order-preserving]] functi
    2 KB (274 words) - 14:57, 17 July 2008
  • ...claim that the quadrilateral <math>ABPC</math> is convex. Now applying the generalized Ptolemy's Theorem to the convex quadrilateral <math>ABPC</math> yields
    8 KB (1,470 words) - 21:24, 18 June 2022

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