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continuous functional

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  • Continuous functional calculus — In mathematics, the continuous functional calculus of operator theory and C* algebra theory allows applications of continuous functions to normal elements of a C* algebra. More precisely, Theorem. Let x be a normal element of a C* algebra A with… …   Wikipedia

  • Functional calculus — In mathematics, a functional calculus is a theory allowing one to apply mathematical functions to mathematical operators. The term was also used previously to refer to the calculus of variations. If f is a function, say a numerical function of a… …   Wikipedia

  • Functional decomposition — refers broadly to the process of resolving a functional relationship into its constituent parts in such a way that the original function can be reconstructed (i.e., recomposed) from those parts by function composition. In general, this process of …   Wikipedia

  • Functional training — is a classification of exercise which involves training the body for the activities performed in daily life. OriginsFunctional training has its origins in rehabilitation. Physical therapists developed exercises that mimicked what patients did at… …   Wikipedia

  • Functional reactive programming — ( FRP for short) is a programming paradigm for reactive programming using the building blocks of functional programming [cite web|author=Henrik Nilsson|title=Functional Reactive Programming Research|url=http://www.haskell.org/frp/|accessdate=2006 …   Wikipedia

  • Continuous linear operator — In functional analysis and related areas of mathematics, a continuous linear operator or continuous linear mapping is a continuous linear transformation between topological vector spaces. An operator between two normed spaces is a bounded linear… …   Wikipedia

  • Functional analysis — For functional analysis as used in psychology, see the functional analysis (psychology) article. Functional analysis is the branch of mathematics, and specifically of analysis, concerned with the study of vector spaces and operators acting upon… …   Wikipedia

  • Continuous functions on a compact Hausdorff space — In mathematical analysis, and especially functional analysis, a fundamental role is played by the space of continuous functions on a compact Hausdorff space with values in the real or complex numbers. This space, denoted by C(X), is a vector… …   Wikipedia

  • 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

  • Functional integration — You may also be looking for functional integration (neurobiology) or functional integration (sociology). Functional integration is a collection of results in mathematics and physics where the domain of an integral is no longer a region of space,… …   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

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