• In mathematics, particularly functional analysis, James' theorem, named for Robert C. James, states that a Banach space X {\displaystyle X} is reflexive...
    5 KB (750 words) - 21:25, 12 July 2025
  • Apache James, (Java Apache Mail Enterprise Server) James's theorem, theorem in mathematics A muscadine (Vitis rotundifolia) cultivar Epistle of James, part...
    3 KB (323 words) - 19:46, 15 April 2025
  • Thumbnail for Pythagorean theorem
    In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle...
    95 KB (12,787 words) - 21:00, 12 July 2025
  • Thumbnail for Garfield's proof of the Pythagorean theorem
    Garfield's proof of the Pythagorean theorem is an original proof of the Pythagorean theorem discovered by James A. Garfield (November 19, 1831 – September...
    5 KB (696 words) - 18:16, 5 July 2025
  • necessarily have unit norm ‖ u ‖ = 1 {\displaystyle \|u\|=1} ). R.C. James proved James's theorem in 1964, which states that a Banach space V {\displaystyle V}...
    15 KB (2,557 words) - 13:48, 22 April 2025
  • Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories...
    92 KB (12,165 words) - 14:58, 20 July 2025
  • The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at every...
    31 KB (4,883 words) - 05:40, 13 July 2025
  • Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after L. E. J. (Bertus) Brouwer. It states that for any continuous function f...
    61 KB (8,516 words) - 02:13, 21 July 2025
  • Bayes' theorem (alternatively Bayes' law or Bayes' rule, after Thomas Bayes) gives a mathematical rule for inverting conditional probabilities, allowing...
    49 KB (6,809 words) - 00:57, 25 July 2025
  • and related branches of mathematics, the Banach–Alaoglu theorem (also known as Alaoglu's theorem) states that the closed unit ball of the dual space of...
    61 KB (8,297 words) - 04:30, 25 September 2024
  • specifically abstract algebra, the isomorphism theorems (also known as Noether's isomorphism theorems) are theorems that describe the relationship among quotients...
    25 KB (3,607 words) - 19:19, 19 July 2025
  • Thumbnail for Stokes' theorem
    theorem, also known as the Kelvin–Stokes theorem after Lord Kelvin and George Stokes, the fundamental theorem for curls, or simply the curl theorem,...
    30 KB (4,862 words) - 22:38, 19 July 2025
  • Thumbnail for Hairy ball theorem
    The hairy ball theorem of algebraic topology (sometimes called the hedgehog theorem) states that there is no nonvanishing continuous tangent vector field...
    14 KB (1,807 words) - 21:03, 19 July 2025
  • In the analysis of algorithms, the master theorem for divide-and-conquer recurrences provides an asymptotic analysis for many recurrence relations that...
    16 KB (1,978 words) - 18:28, 27 February 2025
  • field of quantum computing among others. The theorem is an evolution of the 1970 no-go theorem authored by James L. Park, in which he demonstrates that a...
    17 KB (2,338 words) - 02:37, 23 July 2025
  • Mazur's lemma (category Theorems involving convexity)
    three different kinds of weak compactness in a Banach space James's theorem Goldstine theorem Renardy, Michael & Rogers, Robert C. (2004). An introduction...
    2 KB (269 words) - 05:49, 22 April 2025
  • Thumbnail for Gödel's completeness theorem
    Gödel's completeness theorem is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability...
    17 KB (2,330 words) - 17:38, 29 January 2025
  • algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, the power ⁠ ( x...
    42 KB (6,745 words) - 08:31, 25 July 2025
  • In mathematical analysis, Fubini's theorem characterizes the conditions under which it is possible to compute a double integral by using an iterated integral...
    41 KB (7,862 words) - 10:10, 5 May 2025
  • necessarily have unit norm ‖ u ‖ = 1 {\displaystyle \|u\|=1} ). R.C. James proved James's theorem in 1964, which states that a Banach space X {\displaystyle X}...
    22 KB (2,943 words) - 14:45, 18 February 2025
  • In mathematical analysis, the Weierstrass approximation theorem states that every continuous function defined on a closed interval [a, b] can be uniformly...
    27 KB (3,235 words) - 20:19, 2 June 2025
  • Thumbnail for Taylor's theorem
    In calculus, Taylor's theorem gives an approximation of a k {\textstyle k} -times differentiable function around a given point by a polynomial of degree...
    54 KB (9,632 words) - 05:41, 2 June 2025
  • Thumbnail for Infinite monkey theorem
    The infinite monkey theorem states that a monkey hitting keys independently and at random on a typewriter keyboard for an infinite amount of time will...
    53 KB (7,044 words) - 22:38, 19 June 2025
  • In the mathematical field of functional analysis, the Eberlein–Šmulian theorem (named after William Frederick Eberlein and Witold Lwowitsch Schmulian)...
    3 KB (396 words) - 12:11, 7 December 2023
  • The fundamental theorem of algebra, also called d'Alembert's theorem or the d'Alembert–Gauss theorem, states that every non-constant single-variable polynomial...
    51 KB (7,637 words) - 22:40, 19 July 2025
  • generalized Stokes theorem (sometimes with apostrophe as Stokes' theorem or Stokes's theorem), also called the Stokes–Cartan theorem, is a statement about...
    35 KB (4,822 words) - 00:07, 25 November 2024
  • only if X {\displaystyle X} is finite-dimensional. F. Riesz's theorem James's Theorem—a characterization of reflexivity given by a condition on the unit...
    15 KB (2,421 words) - 05:49, 22 April 2025
  • In probability theory, Maxwell's theorem (known also as Herschel-Maxwell's theorem and Herschel-Maxwell's derivation) states that if the probability distribution...
    6 KB (794 words) - 20:26, 2 July 2025
  • Thumbnail for Thévenin's theorem
    stated in terms of direct-current resistive circuits only, Thévenin's theorem states that "Any linear electrical network containing only voltage sources...
    23 KB (2,937 words) - 16:41, 23 May 2025
  • In vector calculus, Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D (surface in R...
    23 KB (4,079 words) - 14:46, 30 June 2025