“Functional”的概念、定义、习题解题方法及翻译-数学辞典

单词	Functional
释义	functional Definition A functional $T$ is a function mapping a function space (often a vector space) $V$ in to a field of scalars $K$ , typically taken to be $\\mathbb{R}$ or $\\mathbb{C}$ . Discussion Examples of functionals include the integral and entropy. A functional $f$ is often indicated by the use of brackets, $T[x]$ rather than $T(x)$ . The linear functionals are those functionals $T$ that • $T(x+y)=T(x)+T(y)$ • $T(cx)=cT(x)$ for any $c\\in K$ , $x,y\\in V$ .
随便看	ProofOfPigeonholePrinciple proof of pigeonhole principle ProofOfPivotTheorem proof of pivot theorem ProofOfPoincareLemma ProofOfPoincareRecurrenceTheorem1 ProofOfPoincareRecurrenceTheorem2 proof of Poincaré lemma proof of Poincaré recurrence theorem 1 proof of Poincaré recurrence theorem 2 ProofOfPolishSpacesUpToBorelIsomorphism proof of Polish spaces up to Borel isomorphism ProofOfPrimeIdealDecompositionInQuadraticExtensionsOfmathbbQ proof of prime ideal decomposition in quadratic extensions of ℚ ProofOfPrimitiveElementTheorem proof of primitive element theorem ProofOfPrincipleOfTransfiniteInduction proof of principle of transfinite induction ProofOfProductOfLeftAndRightIdeal proof of product of left and right ideal ProofOfProductRule proof of product rule ProofOfProhorovInequality proof of Prohorov inequality ProofOfPropertiesOfDerivativesByPureAlgebra

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

functional