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convergence of filters

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  • Modes of convergence — In mathematics, there are many senses in which a sequence or a series is said to be convergent. This article describes various modes (senses or species) of convergence in the settings where they are defined. For a list of modes of convergence,… …   Wikipedia

  • Characterizations of the category of topological spaces — In mathematics, a topological space is usually defined in terms of open sets. However, there are many equivalent characterizations of the category of topological spaces. Each of these definitions provides a new way of thinking about topological… …   Wikipedia

  • Tychonoff's theorem — For other theorems named after Tychonoff, see Tychonoff s theorem (disambiguation). In mathematics, Tychonoff s theorem states that the product of any collection of compact topological spaces is compact. The theorem is named after Andrey… …   Wikipedia

  • Topological space — Topological spaces are mathematical structures that allow the formal definition of concepts such as convergence, connectedness, and continuity. They appear in virtually every branch of modern mathematics and are a central unifying notion. The… …   Wikipedia

  • Computers and Information Systems — ▪ 2009 Introduction Smartphone: The New Computer.       The market for the smartphone in reality a handheld computer for Web browsing, e mail, music, and video that was integrated with a cellular telephone continued to grow in 2008. According to… …   Universalium

  • Filter (mathematics) — The powerset algebra of the set {1,2,3,4} with the upset colored green. The green elements make a principal ultrafilter on the lattice. In mathematics, a filter is a special subset of a partially ordered set. A frequently used special case is the …   Wikipedia

  • analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …   Universalium

  • Analog signal processing — is any signal processing conducted on analog signals by analog means. Analog indicates something that is mathematically represented as a set of continuous values. This differs from digital which uses a series of discrete quantities to represent… …   Wikipedia

  • Least mean squares filter — Least mean squares (LMS) algorithms are a class of adaptive filter used to mimic a desired filter by finding the filter coefficients that relate to producing the least mean squares of the error signal (difference between the desired and the… …   Wikipedia

  • Liste der Telekommunikationsstandards — Liste von Standards und Richtlinien aus der Telekommunikation. Inhaltsverzeichnis 1 ETSI 1.1 Nomenklatur 1.1.1 derzeit gültige Nomenklatur 1.1.2 vorherige Nomenklatur …   Deutsch Wikipedia

  • optics — /op tiks/, n. (used with a sing. v.) the branch of physical science that deals with the properties and phenomena of both visible and invisible light and with vision. [1605 15; < ML optica < Gk optiká, n. use of neut. pl. of OPTIKÓS; see OPTIC,… …   Universalium

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