• In number theory, Maier's theorem is a theorem due to Helmut Maier about the numbers of primes in short intervals for which Cramér's probabilistic model...
    3 KB (364 words) - 02:13, 20 January 2025
  • Thumbnail for May's theorem
    In social choice theory, May's theorem, also called the general possibility theorem, says that majority vote is the unique ranked social choice function...
    6 KB (658 words) - 01:34, 26 May 2025
  • Thumbnail for Helmut Maier
    mathematical analysis and particularly for the so-called Maier's matrix method as well as Maier's theorem for primes in short intervals. He has also done important...
    6 KB (556 words) - 22:29, 9 November 2024
  • been used to prove Maier's theorem (Maier 1985) and also the existence of chains of large gaps between consecutive primes (Maier 1981). The method uses...
    2 KB (315 words) - 00:47, 30 March 2025
  • conjecture is false. Indeed, there [are] some theorems concerning short intervals between primes, such as Maier's theorem, which contradict Cramér's model. (internal...
    13 KB (1,788 words) - 11:15, 17 June 2025
  • Thumbnail for Riemann hypothesis
    and occasionally give the wrong answer for some results, such as Maier's theorem. The calculations in Odlyzko (1987) show that the zeros of the zeta...
    127 KB (16,781 words) - 22:34, 19 June 2025
  • Mahler's compactness theorem (geometry of numbers) Mahler's theorem (p-adic analysis) Maier's theorem (analytic number theory) Mann's theorem (number theory)...
    78 KB (6,289 words) - 12:34, 6 June 2025
  • Thumbnail for Theorem
    mathematics and formal logic, a theorem is a statement that has been proven, or can be proven. The proof of a theorem is a logical argument that uses...
    34 KB (4,409 words) - 00:49, 4 April 2025
  • Thumbnail for Fermat's Last Theorem
    In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b...
    104 KB (11,741 words) - 21:37, 19 June 2025
  • Thumbnail for Nyquist–Shannon sampling theorem
    The Nyquist–Shannon sampling theorem is an essential principle for digital signal processing linking the frequency range of a signal and the sample rate...
    51 KB (6,838 words) - 02:04, 23 June 2025
  • Thumbnail for Majority rule
    even to "an aggressive culture and conflict"; however, the median voter theorem guarantees that majority-rule will tend to elect "compromise" or "consensus"...
    19 KB (1,885 words) - 12:15, 25 May 2025
  • specifically abstract algebra, the isomorphism theorems (also known as Noether's isomorphism theorems) are theorems that describe the relationship among quotients...
    25 KB (3,601 words) - 16:37, 7 March 2025
  • Thumbnail for Arrow's impossibility theorem
    Arrow's impossibility theorem is a key result in social choice theory showing that no ranked-choice procedure for group decision-making can satisfy the...
    69 KB (6,513 words) - 00:52, 20 June 2025
  • Thumbnail for Noether's theorem
    Noether's theorem states that every continuous symmetry of the action of a physical system with conservative forces has a corresponding conservation law...
    71 KB (11,807 words) - 22:12, 19 June 2025
  • In physics, the no-cloning theorem states that it is impossible to create an independent and identical copy of an arbitrary unknown quantum state, a statement...
    17 KB (2,338 words) - 10:14, 7 June 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 (4,864 words) - 15:15, 13 June 2025
  • In number theory, Fermat's little theorem states that if p is a prime number, then for any integer a, the number ap − a is an integer multiple of p. In...
    18 KB (2,372 words) - 19:29, 25 April 2025
  • Thumbnail for Norton's theorem
    In direct-current circuit theory, Norton's theorem, also called the Mayer–Norton theorem, is a simplification that can be applied to networks made of...
    9 KB (951 words) - 15:48, 11 February 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...
    94 KB (12,692 words) - 05:47, 14 May 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) - 10:33, 7 June 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 (12,173 words) - 02:29, 24 June 2025
  • Pierre de Fermat engendered many theorems. Fermat's theorem may refer to one of the following theorems: Fermat's Last Theorem, about integer solutions to an + bn = cn...
    956 bytes (156 words) - 15:57, 23 September 2022
  • In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a theorem relating the flux of a vector field through...
    45 KB (7,538 words) - 16:10, 30 May 2025
  • Thumbnail for Picard theorem
    In complex analysis, Picard's great theorem and Picard's little theorem are related theorems about the range of an analytic function. They are named after...
    12 KB (998 words) - 14:19, 11 March 2025
  • Thumbnail for Kenneth O. May
    Kenneth O. May (July 8, 1915 – December 1977) was an American mathematician and historian of mathematics, who developed May's theorem. May was a prime...
    6 KB (672 words) - 08:35, 17 May 2025
  • Thumbnail for Social choice theory
    and B better than C, but C is also better than A. This contrasts with May's theorem, which shows that simple majority is the optimal voting mechanism when...
    28 KB (3,035 words) - 22:13, 8 June 2025
  • In the fields of mechanism design and social choice theory, Gibbard's theorem is a result proven by philosopher Allan Gibbard in 1973. It states that...
    13 KB (1,906 words) - 07:20, 17 January 2025
  • factorization theorem asserts that every entire function can be represented as a (possibly infinite) product involving its zeroes. The theorem may be viewed...
    11 KB (1,904 words) - 03:04, 19 March 2025
  • Thumbnail for Median voter theorem
    In political science and social choice, Black's median voter theorem says that if voters and candidates are distributed along a political spectrum, any...
    33 KB (4,030 words) - 08:59, 24 June 2025
  • In mathematics, the mean value theorem (or Lagrange's mean value theorem) states, roughly, that for a given planar arc between two endpoints, there is...
    28 KB (5,401 words) - 20:28, 19 June 2025