normed functional

  • 41Bounded variation — In mathematical analysis, a function of bounded variation refers to a real valued function whose total variation is bounded (finite): the graph of a function having this property is well behaved in a precise sense. For a continuous function of a… …

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  • 42Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …

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  • 43Generalized function — In mathematics, generalized functions are objects generalizing the notion of functions. There is more than one recognised theory. Generalized functions are especially useful in making discontinuous functions more like smooth functions, and (going …

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  • 44Psychogram — The term psychogram was coined by Hollingworth in 1922, and now refers, ingeneral, to any chart on which personality traits are marked according to aguiding psychological viewpoint. Such a profile, showing the quantitativerelation between the… …

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  • 45Algebra — This article is about the branch of mathematics. For other uses, see Algebra (disambiguation). Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from… …

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  • 46Closed linear span — In functional analysis, a branch of mathematics, the closed linear span of a set of vectors is the minimal closed set which contains the linear span of that set. Contents 1 Definition 2 Notes 3 A useful lemma …

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  • 47Israel Moissejewitsch Gelfand — (russisch Израиль Моисеевич Гельфанд; * 20. Augustjul./ 2. September 1913greg. in Krasni Okny im Bezirk Odessa, Russisches Kaiserreich, heute Ukraine; † 5. Oktober 2009 in New Brunswick, New Jersey) war ein sowjetischer… …

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  • 48Compact operator on Hilbert space — In functional analysis, compact operators on Hilbert spaces are a direct extension of matrices: in the Hilbert spaces, they are precisely the closure of finite rank operators in the uniform operator topology. As such, results from matrix theory… …

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  • 49Absolute convergence — In mathematics, a series (or sometimes also an integral) of numbers is said to converge absolutely if the sum (or integral) of the absolute value of the summand or integrand is finite. More precisely, a real or complex series is said to converge… …

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  • 50Algebraic structure — In algebra, a branch of pure mathematics, an algebraic structure consists of one or more sets closed under one or more operations, satisfying some axioms. Abstract algebra is primarily the study of algebraic structures and their properties. The… …

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