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dual theorem

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  • Dual space — In mathematics, any vector space, V, has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V. Dual vector spaces defined on finite dimensional vector spaces can be used for defining tensors… …   Wikipedia

  • Dual topology — In functional analysis and related areas of mathematics a dual topology is a locally convex topology on a dual pair, two vector spaces with a bilinear form defined on them, so that one vector space becomes the continuous dual of the other space.… …   Wikipedia

  • Dual problem — In constrained optimization, it is often possible to convert the primal problem (i.e. the original form of the optimization problem) to a dual form, which is termed a dual problem. Usually dual problem refers to the Lagrangian dual problem but… …   Wikipedia

  • Dual wavelet — In mathematics, a dual wavelet is the dual to a wavelet. In general, the wavelet series generated by a square integrable function will have a dual series, in the sense of the Riesz representation theorem. However, the dual series is not in… …   Wikipedia

  • dual — adjective 1》 consisting of two parts, elements, or aspects.     ↘Grammar denoting an inflection that refers to exactly two people or things. 2》 (often dual to) Mathematics related to another theorem or expression by the interchange of terms, such …   English new terms dictionary

  • Dual-Slope-Verfahren — Ein Analog Digital Umsetzer ADU, englisch ADC für Analog to Digital Converter (auch Analog Digital Wandler oder A/D Wandler) setzt nach unterschiedlichen Methoden analoge Eingangssignale in digitale Daten bzw. einen Datenstrom um, die dann… …   Deutsch Wikipedia

  • Dual number — For dual grammatical number found in some languages, see Dual (grammatical number). In linear algebra, the dual numbers extend the real numbers by adjoining one new element ε with the property ε2 = 0 (ε is nilpotent). The collection of dual… …   Wikipedia

  • Dual pair — This article is about dual pairs of vector spaces. For dual pairs in representation theory, see Reductive dual pair. In functional analysis and related areas of mathematics a dual pair or dual system is a pair of vector spaces with an associated… …   Wikipedia

  • Dual abelian variety — In mathematics, a dual abelian variety can be defined from an abelian variety A, defined over a field K. Contents 1 Definition 2 History 3 Dual isogeny (elliptic curve case) …   Wikipedia

  • Dual bundle — In mathematics, the dual bundle of a vector bundle π : E → X is a vector bundle π* : E* → X whose fibers are the dual spaces to the fibers of E. The dual bundle can be constructed using the associated bundle construction by taking the… …   Wikipedia

  • dual to — Mathematics related to another theorem or expression by the interchange of terms, such as ‘point’ and ‘line’. → dual …   English new terms dictionary

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