• The mapping theorem is a theorem in the theory of point processes, a sub-discipline of probability theory. It describes how a Poisson point process is...
    1 KB (216 words) - 14:09, 12 November 2021
  • Mapping theorem may refer to Continuous mapping theorem, a statement regarding the stability of convergence under mappings Mapping theorem (point process)...
    271 bytes (64 words) - 14:18, 9 August 2018
  • Thumbnail for Riemann mapping theorem
    In complex analysis, the Riemann mapping theorem states that if U {\displaystyle U} is a non-empty simply connected open subset of the complex number...
    44 KB (7,457 words) - 12:38, 29 April 2024
  • Thumbnail for Poisson point process
    a Poisson point process, and this result is sometimes referred to as the mapping theorem. The theorem involves some Poisson point process with mean measure...
    118 KB (15,476 words) - 02:06, 12 June 2024
  • Look up mapping in Wiktionary, the free dictionary. Mapping may refer to: Mapping (cartography), the process of making a map Mapping (mathematics), a synonym...
    1 KB (242 words) - 20:26, 21 April 2024
  • Thumbnail for Shear mapping
    In plane geometry, a shear mapping is an affine transformation that displaces each point in a fixed direction by an amount proportional to its signed...
    13 KB (1,885 words) - 14:31, 26 May 2024
  • Thumbnail for Hairy ball theorem
    fixed-point theorem. Since the Betti numbers of a 2-sphere are 1, 0, 1, 0, 0, ... the Lefschetz number (total trace on homology) of the identity mapping is...
    13 KB (1,803 words) - 17:45, 4 June 2024
  • In statistics and probability theory, a point process or point field is a collection of mathematical points randomly located on a mathematical space such...
    29 KB (4,546 words) - 23:34, 8 December 2023
  • then a result sometimes known as the Mapping theorem says that if the original process is a Poisson point process with some intensity measure, then the...
    13 KB (1,745 words) - 19:51, 31 December 2020
  • fixed-point iteration algorithm of Banach. Banach's fixed-point theorem implies that, when fixed-point iteration is applied to a contraction mapping, the...
    24 KB (3,576 words) - 04:09, 15 June 2024
  • the Caristi fixed-point theorem (also known as the Caristi–Kirk fixed-point theorem) generalizes the Banach fixed-point theorem for maps of a complete...
    4 KB (432 words) - 06:09, 24 February 2023
  • Thumbnail for Jordan curve theorem
    continuous path connecting a point of one region to a point of the other intersects with the curve somewhere. While the theorem seems intuitively obvious...
    27 KB (3,276 words) - 18:28, 25 May 2024
  • manifold) Arakelyan's theorem (complex analysis) Area theorem (conformal mapping) (complex analysis) Arithmetic Riemann–Roch theorem (algebraic geometry)...
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  • say that we have linear convergence. The Banach fixed-point theorem allows one to obtain fixed-point iterations with linear convergence. The requirement...
    15 KB (2,172 words) - 03:45, 13 December 2023
  • Kolmogorov continuity theorem on stochastic processes. Continuity (disambiguation) Continuous mapping theorem This disambiguation page lists articles associated...
    338 bytes (66 words) - 17:12, 17 June 2020
  • Picard's existence theorem, the Cauchy–Lipschitz theorem, or the existence and uniqueness theorem. The theorem is named after Émile Picard, Ernst Lindelöf...
    17 KB (2,940 words) - 18:57, 26 May 2024
  • Thumbnail for Squeeze mapping
    shear mapping. For a fixed positive real number a, the mapping ( x , y ) ↦ ( a x , y / a ) {\displaystyle (x,y)\mapsto (ax,y/a)} is the squeeze mapping with...
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  • between their closures, mapping the Jordan curve homeomorphically onto the unit circle. To prove the theorem, Carathéodory's theorem can be applied to the...
    30 KB (4,226 words) - 18:55, 28 January 2023
  • the form of the Banach fixed-point theorem, although it states existence and uniqueness of a zero rather than a fixed point. Newton's method constructs...
    9 KB (1,474 words) - 17:57, 17 December 2023
  • mapping theorem Continuous probability distribution Continuous stochastic process Continuous-time Markov process Continuous-time stochastic process Contrast...
    87 KB (8,280 words) - 16:24, 10 June 2024
  • the authors sometimes say 'isomorphism', the mapping they construct is only a homomorphism. This theorem is obtained by considering the entropy of the...
    5 KB (722 words) - 08:59, 13 June 2024
  • Thumbnail for Frobenius theorem (differential topology)
    In mathematics, Frobenius' theorem gives necessary and sufficient conditions for finding a maximal set of independent solutions of an overdetermined system...
    28 KB (4,231 words) - 15:29, 2 May 2024
  • the process to automatisation. In 1920, Thoralf Skolem simplified a previous result by Leopold Löwenheim, leading to the Löwenheim–Skolem theorem and...
    29 KB (2,944 words) - 19:47, 25 May 2024
  • Thumbnail for Stochastic process
    {\displaystyle t\in T} can represent a point in space. That said, many results and theorems are only possible for stochastic processes with a totally ordered index...
    162 KB (17,885 words) - 23:59, 13 June 2024
  • mathematical measure theory, for every positive integer n the ham sandwich theorem states that given n measurable "objects" in n-dimensional Euclidean space...
    19 KB (2,453 words) - 04:40, 14 January 2024
  • Thumbnail for Finite subdivision rule
    subdivision rule is conformal, as described in the combinatorial Riemann mapping theorem. Applications of subdivision rules. Islamic Girih tiles in Islamic...
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  • In information theory, Shannon's source coding theorem (or noiseless coding theorem) establishes the statistical limits to possible data compression for...
    12 KB (1,881 words) - 09:30, 2 May 2024
  • mathematical theory of artificial neural networks, universal approximation theorems are theorems of the following form: Given a family of neural networks, for each...
    36 KB (4,916 words) - 10:23, 16 June 2024
  • Thumbnail for Simple polygon
    the Riemann mapping theorem, any simply connected open subset of the plane can be conformally mapped onto a disk. Schwarz–Christoffel mapping provides a...
    31 KB (3,199 words) - 04:56, 28 January 2024
  • Thumbnail for Whitehead manifold
    is "yes". In dimension 2, it follows, for example, from the Riemann mapping theorem. Dimension 3 presents the first counterexample: the Whitehead manifold...
    6 KB (914 words) - 17:37, 6 September 2022