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functional derivative

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  • Functional derivative — In mathematics and theoretical physics, the functional derivative is a generalization of the directional derivative. The difference is that the latter differentiates in the direction of a vector, while the former differentiates in the direction… …   Wikipedia

  • Derivative (generalizations) — Derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical analysis, combinatorics, algebra, and geometry. Derivatives in analysis In real, complex, and functional… …   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

  • Functional group — For other uses, see Functional group (disambiguation) and Moiety (disambiguation). Benzyl acetate has an ester functional group (in red), an acetyl moiety (circled with green) and a benzyloxy moiety (circled with orange). Other divisions can be… …   Wikipedia

  • Derivative — This article is an overview of the term as used in calculus. For a less technical overview of the subject, see Differential calculus. For other uses, see Derivative (disambiguation) …   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

  • Derivative work — L.H.O.O.Q. (1919). Derivative work by Marcel Duchamp based on the Mona Lisa (La Gioconda) by Leonardo da Vinci. Also known as The Mona Lisa With a Moustache. Often used by law professors to illustrate legal concept of derivative work. In United… …   Wikipedia

  • Functional programming — In computer science, functional programming is a programming paradigm that treats computation as the evaluation of mathematical functions and avoids state and mutable data. It emphasizes the application of functions, in contrast with the… …   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

  • functional analysis — the branch of mathematics that deals with the theory of vector spaces and linear functionals. [1945 50] * * * Branch of mathematical analysis dealing with functionals, or functions of functions. It emerged as a distinct field in the 20th century …   Universalium

  • Generalizations of the derivative — The derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical analysis, combinatorics, algebra, and geometry. Contents 1 Derivatives in analysis 1.1 Multivariable… …   Wikipedia

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