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functional equation

См. также в других словарях:

  • Functional equation — In mathematics or its applications, a functional equation is an equation expressing a relation between the value of a function (or functions) at a point with its values at other points. Properties of functions can for instance be determined by… …   Wikipedia

  • functional equation — funkcionalinė lygtis statusas T sritis fizika atitikmenys: angl. functional equation vok. Funktionalgleichung, f rus. функциональное уравнение, n pranc. équation fonctionnelle, f …   Fizikos terminų žodynas

  • Functional equation (L-function) — In mathematics, the L functions of number theory are expected to have several characteristic properties, one of which is that they satisfy certain functional equations. There is an elaborate theory of what these equations should be, much of which …   Wikipedia

  • Cauchy's functional equation — is one of the simplest functional equations to represent, however its solution over the real numbers is extremely complicated. The equation is : f(x+y)=f(x)+f(y). Over the rational numbers, it can be shown using elementary algebra that there is a …   Wikipedia

  • Functional (mathematics) — In mathematics, a functional is traditionally a map from a vector space to the field underlying the vector space, which is usually the real numbers. In other words, it is a function that takes a vector as its argument or input and returns a… …   Wikipedia

  • Equation — This article is about equations in mathematics. For the chemistry term, see chemical equation. The first use of an equals sign, equivalent to 14x+15=71 in modern notation. From The Whetstone of Witte by Robert Recorde (1557). An equation is a… …   Wikipedia

  • Functional square root — In mathematics, a functional square root (sometimes called a half iterate) is a square root of a function with respect to the operation of function composition. In other words, the functional square root of a function g is a function f satisfying …   Wikipedia

  • Équation fonctionnelle (fonction L) — En mathématiques, l une des propriétés caractéristiques des fonctions L de la théorie des nombres est la forme de leur équation fonctionnelle. Il existe une théorie élaborée de ce que devraient être ces propriétés ; beaucoup d entre elles… …   Wikipédia en Français

  • équation fonctionnelle — funkcionalinė lygtis statusas T sritis fizika atitikmenys: angl. functional equation vok. Funktionalgleichung, f rus. функциональное уравнение, n pranc. équation fonctionnelle, f …   Fizikos terminų žodynas

  • 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 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

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