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There is a page named "Multiplicity-one theorem" on Wikipedia
- representations, a multiplicity-one theorem is a result about the representation theory of an adelic reductive algebraic group. The multiplicity in question...6 KB (626 words) - 11:51, 3 December 2023
- counted with their multiplicity, and including points at infinity and points with complex coordinates. In its modern formulation, the theorem states that, if...23 KB (3,534 words) - 12:57, 5 August 2024
- 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 (7,655 words) - 22:03, 9 August 2024
multiplicity. This theorem assumes that the contour ∂ K {\displaystyle \partial K} is simple, that is, without self-intersections. Rouché's theorem is...11 KB (1,855 words) - 10:00, 18 April 2024- equilibrium theorem (economics) Multinomial theorem (algebra, combinatorics) Multiplication theorem (special functions) Multiplicity-one theorem (group representations)...73 KB (6,015 words) - 12:17, 2 August 2024
- counting is subject to an imputed multiplicity at a fixed point called the fixed-point index. A weak version of the theorem is enough to show that a mapping...9 KB (1,483 words) - 16:13, 21 January 2024
- result is one of the key theorems characterizing the topology of Euclidean spaces, along with the Jordan curve theorem, the hairy ball theorem, the invariance...61 KB (8,376 words) - 00:56, 20 June 2024
- mathematics, particularly linear algebra and functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized...25 KB (3,630 words) - 02:59, 18 May 2024
- factors, with multiplicity, of the integer n {\displaystyle n} . Bergelson and Richter (2022) then obtain this form of the prime number theorem from an ergodic...59 KB (8,434 words) - 14:01, 10 August 2024
Blichfeldt's theorem is a mathematical theorem in the geometry of numbers, stating that whenever a bounded set in the Euclidean plane has area A {\displaystyle...15 KB (1,935 words) - 00:31, 17 July 2022- In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential...53 KB (7,529 words) - 04:31, 30 May 2024
- multinomial theorem describes how to expand a power of a sum in terms of powers of the terms in that sum. It is the generalization of the binomial theorem from...9 KB (2,047 words) - 18:16, 24 August 2024
- p. Whereas the fundamental theorem of algebra readily yields the overall number of complex roots, counted with multiplicity, it does not provide a procedure...19 KB (2,807 words) - 17:03, 2 July 2024
- Eigenvalues and eigenvectors (redirect from Algebraic multiplicity)eigenvectors, an eigenvalue's geometric multiplicity must be at least one, that is, each eigenvalue has at least one associated eigenvector. Furthermore,...102 KB (13,603 words) - 06:05, 19 August 2024
- {\displaystyle z=z_{0}} of multiplicity m. The sequence { p n } {\displaystyle \{p_{n}\}} in the statement of the theorem always exists. For example,...10 KB (1,872 words) - 12:17, 9 April 2024
- k discs, and the theorem is proven. Remarks: It is necessary to count the eigenvalues with respect to their algebraic multiplicities. Here is a counter-example :...14 KB (2,528 words) - 13:41, 8 August 2024
- colors, where µ is the multiplicity of the multigraph. The theorem is named for Vadim G. Vizing who published it in 1964. The theorem discovered by Soviet...21 KB (2,519 words) - 17:25, 21 August 2024
- In linear algebra and functional analysis, the min-max theorem, or variational theorem, or Courant–Fischer–Weyl min-max principle, is a result that gives...15 KB (2,550 words) - 17:31, 23 June 2024
- fundamental theorem of algebra. If a {\displaystyle a} is a root of multiplicity k {\displaystyle k} of a polynomial, then it is a root of multiplicity k − 1...11 KB (1,778 words) - 22:27, 24 August 2024
- with radius e. By Rouché's theorem, the function g(z) = f(z)−w0 will have the same number of roots (counted with multiplicity) in B as h(z):=f(z)−w1 for...4 KB (544 words) - 04:22, 24 March 2024
- number can be expressed as the difference of two squares in one, and only one, way. This theorem, given in the Relation, was used by Fermat for the decomposition
- Austrian descent, most famous as the creator of set theory, and of Cantor's theorem which implies the existence of an "infinity of infinities." In re mathematica
- that can be used to calculate the multiplicity that is very similar to the Binomial Theorem: the Multinomial Theorem: Ω = ( N + n − 1 ) ! n ! ∗ ( N − 1