Contraction principle

Contraction principle

In mathematics, contraction principle may refer to:


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  • Contraction principle (large deviations theory) — In mathematics specifically, in large deviations theory the contraction principle is a theorem that states how a large deviation principle on one space pushes forward to a large deviation principle on another space via a continuous function.… …   Wikipedia

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  • Length contraction — Length contraction, according to Hendrik Lorentz, is the physical phenomenon of a decrease in length detected by an observer in objects that travel at any non zero velocity relative to that observer. This contraction (more formally called Lorentz …   Wikipedia

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  • List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia

  • Banach fixed-point theorem — In mathematics, the Banach fixed point theorem (also known as the contraction mapping theorem or contraction mapping principle) is an important tool in the theory of metric spaces; it guarantees the existence and uniqueness of fixed points of… …   Wikipedia

  • Banach fixed point theorem — The Banach fixed point theorem (also known as the contraction mapping theorem or contraction mapping principle) is an important tool in the theory of metric spaces; it guarantees the existence and uniqueness of fixed points of certain self maps… …   Wikipedia

  • Rate function — In mathematics mdash; specifically, in large deviations theory mdash; a rate function is a function used to quantify the probabilities of rare events. It is required to have several nice properties which assist in the formulation of the large… …   Wikipedia

  • Large deviations theory — In Probability Theory, the Large Deviations Theory concerns the asymptotic behaviour of remote tails of sequences of probability distributions. Some basic ideas of the theory can be tracked back to Laplace and Cramér, although a clear unified… …   Wikipedia

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