• In mathematics, Fuchs's theorem, named after Lazarus Fuchs, states that a second-order differential equation of the form y ″ + p ( x ) y ′ + q ( x ) y...
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  • In mathematics, in the area of additive number theory, the Erdős–Fuchs theorem is a statement about the number of ways that numbers can be represented...
    10 KB (1,728 words) - 05:56, 8 December 2022
  • Floquet's theorem (differential equations) Fuchs's theorem (differential equations) Kharitonov's theorem (control theory) Kneser's theorem (differential...
    78 KB (6,296 words) - 20:31, 6 July 2025
  • In mathematics, the Chung–Fuchs theorem, named after Chung Kai-lai and Wolfgang Heinrich Johannes Fuchs, states that for a particle undergoing a zero-mean...
    1 KB (292 words) - 18:25, 20 August 2024
  • Thumbnail for Lazarus Fuchs
    integer this formula has to be modified. Another well-known result of Fuchs is the Fuchs's conditions, the necessary and sufficient conditions for the non-linear...
    6 KB (533 words) - 19:24, 19 July 2025
  • Thumbnail for Bessel function
    when α is an integer is an example of the second kind of solution in Fuchs's theorem. Another important formulation of the two linearly independent solutions...
    76 KB (12,338 words) - 03:11, 8 August 2025
  • equation does not have regular singularities at w = 0, according to Fuchs's theorem.) Since the functions cez are defined on the whole affine line A1,...
    12 KB (1,480 words) - 16:58, 6 August 2025
  • Erdős–Dushnik–Miller theorem Erdős–Fuchs theorem Erdős–Gallai theorem Erdős–Ginzburg–Ziv theorem Erdős–Kac theorem Erdős–Kaplansky theorem Erdős–Ko–Rado theorem Erdős–Nagy...
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  • Freiman's theorem. Ruzsa also showed the existence of a Sidon sequence which has at least x0.41 elements up to x. In a result complementing the Erdős–Fuchs theorem...
    4 KB (393 words) - 15:29, 17 December 2024
  • Thumbnail for Sequences (book)
    given number of elements from a given sequence, and includes the Erdős–Fuchs theorem according to which this number of representations cannot be close to...
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  • Thumbnail for Frobenius method
    approach to actually calculate the series coefficients in all cases. Fuchs' theorem Regular singular point Laurent series Weisstein, Eric W. "Frobenius...
    13 KB (2,956 words) - 02:34, 6 August 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) - 02:37, 23 July 2025
  • Erdős–Fuchs theorem Chung–Fuchs theorem Anderson, J. Milne; Drasin, David; Sons, Linda R. (December 1998). "Wolfgang Heinrich Johannes Fuchs (1915–1997)"...
    2 KB (111 words) - 05:55, 22 July 2025
  • the Hahn embedding theorem gives a simple description of all linearly ordered abelian groups. It is named after Hans Hahn. The theorem states that every...
    5 KB (508 words) - 14:37, 23 July 2025
  • In mathematical physics, Gleason's theorem shows that the rule one uses to calculate probabilities in quantum physics, the Born rule, can be derived from...
    33 KB (4,107 words) - 00:24, 13 July 2025
  • In probability theory, de Finetti's theorem states that exchangeable observations are conditionally independent relative to some latent variable. An epistemic...
    18 KB (2,571 words) - 11:02, 9 August 2025
  • The related Erdős–Fuchs theorem states that the number of representations cannot be close to a linear function. The Erdős–Tetali theorem states that, for...
    5 KB (610 words) - 09:40, 23 November 2023
  • no-broadcasting theorem is a result of quantum information theory. In the case of pure quantum states, it is a corollary of the no-cloning theorem. The no-cloning...
    6 KB (801 words) - 18:59, 28 May 2025
  • additive number theory, an area of mathematics, the Erdős–Tetali theorem is an existence theorem concerning economical additive bases of every order. More specifically...
    10 KB (1,718 words) - 05:58, 8 December 2022
  • Thumbnail for Karl Weierstrass
    and complex analysis, proved the intermediate value theorem and the Bolzano–Weierstrass theorem, and used the latter to study the properties of continuous...
    16 KB (1,662 words) - 05:33, 10 August 2025
  • 1900;[citation needed] details follow. Group theorist László Fuchs states: As far as the fundamental theorem on finite abelian groups is concerned, it is not clear...
    12 KB (1,660 words) - 10:38, 2 December 2024
  • In mathematics, two Prüfer theorems, named after Heinz Prüfer, describe the structure of certain infinite abelian groups. They have been generalized by...
    2 KB (273 words) - 20:00, 24 September 2024
  • Thumbnail for Abelian group
    structure theorem for finitely generated modules over a principal ideal domain. In the case of finitely generated abelian groups, this theorem guarantees...
    37 KB (5,277 words) - 05:54, 4 August 2025
  • Dirichlet series, Riesz summability, the multiplicative analog of the Erdős–Fuchs theorem, estimates of the number of non-isomorphic abelian groups, and bounds...
    5 KB (443 words) - 13:59, 8 May 2025
  • square root of a positive semidefinite matrix is defined via the spectral theorem. The Euclidean inner product from the classical definition is replaced...
    22 KB (4,020 words) - 09:26, 18 March 2025
  • Thumbnail for Jur Hronec
    focused primarily on differential equations. He studied problems of Erdős–Fuchs theorem of linear differential equations and their generalisation. He wrote...
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  • that can lead to the same mixed states are limited by the Schrödinger–HJW theorem. Purification is used in algorithms such as entanglement distillation,...
    8 KB (1,198 words) - 22:11, 14 April 2025
  • theorem. Many other Picard-type theorems can be derived from the Second Fundamental Theorem. As another corollary from the Second Fundamental Theorem...
    17 KB (2,609 words) - 02:44, 28 July 2025
  • Thumbnail for John von Neumann
    the application of this work was instrumental in his mean ergodic theorem. The theorem is about arbitrary one-parameter unitary groups t → V t {\displaystyle...
    208 KB (23,708 words) - 22:29, 9 August 2025
  • In differential geometry the theorem of the three geodesics, also known as Lyusternik–Schnirelmann theorem, states that every Riemannian manifold with...
    11 KB (1,252 words) - 19:13, 31 December 2024