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continuous extension

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См. также в других словарях:

  • Extension — • Philosophical term. From Lat. ex tendere, to spread out Catholic Encyclopedia. Kevin Knight. 2006. Extension     Extension     † …   Catholic encyclopedia

  • Continuous linear extension — In functional analysis, it is often convenient to define a linear transformation on a complete, normed vector space X by first defining a linear transformation on a dense subset of X and then extending to the whole space via the theorem below.… …   Wikipedia

  • Continuous function — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

  • Extension (mathematics) — In mathematics, the word extension has many uses. See:Analysis* Carathéodory s extension theorem * Continuous linear extension * M. Riesz extension theorem * Krein extension theorem * Hahn Banach theoremAlgebra* Abelian extension * Algebraic… …   Wikipedia

  • continuous — con·tin·u·ous kən tin yə wəs adj marked by uninterrupted extension in space, time, or sequence: continuing without intermission or recurring regularly after minute interruptions <continuous vitamin injections> con·tin·u·ous·ly adv * * *… …   Medical dictionary

  • continuous — adjective Etymology: Latin continuus, from continēre to hold together more at contain Date: 1673 1. marked by uninterrupted extension in space, time, or sequence 2. of a function having the property that the absolute value of the numerical …   New Collegiate Dictionary

  • Tietze extension theorem — In topology, the Tietze extension theorem states that, if X is a normal topological space and is a continuous map from a closed subset A of X into the real numbers carrying the standard topology, then there exists a continuous map with F(a) =… …   Wikipedia

  • Alexandroff extension — In mathematical field of topology, the Alexandroff extension is a way to extend a noncompact topological space by adjoining a single point in such a way that the resulting space is compact. It is named for the Russian mathematician Pavel… …   Wikipedia

  • Cauchy-continuous function — In mathematics, a Cauchy continuous, or Cauchy regular, function is a special kind of continuous function between metric spaces (or more general spaces). Cauchy continuous functions have the useful property that they can always be (uniquely)… …   Wikipedia

  • MediaWiki extension — MediaWiki extensions allow MediaWiki to be made more advanced and useful for various purposes. These extensions vary greatly in complexity. The Wikimedia Foundation operates a Subversion server where many extensions are hosted, and a directory of …   Wikipedia

  • Friedrichs extension — In functional analysis, the Friedrichs extension is a canonical self adjoint extension of a non negative densely defined symmetric operator. It is named after the mathematician Kurt Friedrichs. This extension is particularly useful in situations… …   Wikipedia

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