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...
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Floquet's theorem (differential equations) Fuchs's theorem (differential equations) Kharitonov's theorem (control theory) Kneser's theorem (differential...
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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...
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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...
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Bessel function (section Multiplication theorem)
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...
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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,...
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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...
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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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approach to actually calculate the series coefficients in all cases. Fuchs' theorem Regular singular point Laurent series Weisstein, Eric W. "Frobenius...
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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...
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Erdős–Fuchs theorem Chung–Fuchs theorem Anderson, J. Milne; Drasin, David; Sons, Linda R. (December 1998). "Wolfgang Heinrich Johannes Fuchs (1915–1997)"...
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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...
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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...
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In probability theory, de Finetti's theorem states that exchangeable observations are conditionally independent relative to some latent variable. An epistemic...
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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...
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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...
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additive number theory, an area of mathematics, the Erdős–Tetali theorem is an existence theorem concerning economical additive bases of every order. More specifically...
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Karl Weierstrass (section Other analytical theorems)
and complex analysis, proved the intermediate value theorem and the Bolzano–Weierstrass theorem, and used the latter to study the properties of continuous...
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Finitely generated abelian group (redirect from Fundamental theorem of finitely generated abelian groups)
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...
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In mathematics, two Prüfer theorems, named after Heinz Prüfer, describe the structure of certain infinite abelian groups. They have been generalized by...
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Abelian group (redirect from Fundamental theorem of finite abelian groups)
structure theorem for finitely generated modules over a principal ideal domain. In the case of finitely generated abelian groups, this theorem guarantees...
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Dirichlet series, Riesz summability, the multiplicative analog of the Erdős–Fuchs theorem, estimates of the number of non-isomorphic abelian groups, and bounds...
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Fidelity of quantum states (redirect from Fuchs–van de Graaf inequality)
square root of a positive semidefinite matrix is defined via the spectral theorem. The Euclidean inner product from the classical definition is replaced...
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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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Quantum state purification (redirect from GHJW theorem)
that can lead to the same mixed states are limited by the Schrödinger–HJW theorem. Purification is used in algorithms such as entanglement distillation,...
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Nevanlinna theory (redirect from Nevanlinna theorems)
theorem. Many other Picard-type theorems can be derived from the Second Fundamental Theorem. As another corollary from the Second Fundamental Theorem...
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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...
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In differential geometry the theorem of the three geodesics, also known as Lyusternik–Schnirelmann theorem, states that every Riemannian manifold with...
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