在"英语"词典里functional calculus}的意思

在英语中FUNCTIONAL CALCULUS的发音

functional calculus

FUNCTIONAL CALCULUS在英语中的意思是什么？

功能演算

Functional calculus

在数学中，功能演算是一种允许数学运算符应用数学函数的理论。 它现在是功能分析领域的一个分支，与光谱理论相关。 如果f是一个函数，说实数的数值函数，而M是一个运算符，则没有什么特别的理由为什么表达式f应该是有意义的。 如果是这样，那么我们不再在其原有的功能域上使用f。 在运算演算的传统中，处理运算符中的代数表达式与其含义无关。 如果我们谈论“平方矩阵”，这通常几乎不被注意，这是f = x2和M an n×n矩阵的情况。 功能演算的想法是为这种符号的超载创建一个原则性的方法。 最直接的情况是将多项式函数应用于正方形矩阵，扩展刚刚讨论的内容。 在有限维的情况下，多项式函数演算产生了相当多的关于算子的信息。

In mathematics, a functional calculus is a theory allowing one to apply mathematical functions to mathematical operators. It is now a branch of the field of functional analysis, connected with spectral theory. If f is a function, say a numerical function of a real number, and M is an operator, there is no particular reason why the expression f should make sense. If it does, then we are no longer using f on its original function domain. In the tradition of operational calculus, algebraic expressions in operators are handled irrespective of their meaning. This passes nearly unnoticed if we talk about 'squaring a matrix', though, which is the case of f = x2 and M an n×n matrix. The idea of a functional calculus is to create a principled approach to this kind of overloading of the notation. The most immediate case is to apply polynomial functions to a square matrix, extending what has just been discussed. In the finite-dimensional case, the polynomial functional calculus yields quite a bit of information about the operator.

FUNCTIONAL CALCULUS的翻译

通过我们的英语多语言翻译器,找到functional calculus的25种语言翻译

该章节所呈现的将functional calculus由 英语向其他语言的翻译是通过自动统计翻译获得的；在英语中基本的翻译单位是单词«functional calculus»。

• 翻译者英语 - 中文: 功能性结石
• 翻译者英语 - 西班牙语: cálculo funcional
• 英语: functional calculus
• 翻译者英语 - 印地语: कार्यात्मक पथरी
• 翻译者英语 - 阿拉伯语: حساب التفاضل والتكامل الوظيفي
• 翻译者英语 - 俄语: функциональное исчисление
• 翻译者英语 - 葡萄牙语: cálculo funcional
• 翻译者英语 - 孟加拉语: কার্যকরী ক্যালকুলাস
• 翻译者英语 - 法语: fonctionnelle
• 翻译者英语 - 马来语: Kalkulus fungsian
• 翻译者英语 - 德语: Funktionalkalkül
• 翻译者英语 - 日语: 関数計算
• 翻译者英语 - 韩语: 기능 미적분
• 翻译者英语 - 印尼爪哇语: Kalkulus fungsional
• 翻译者英语 - 越南语: tính toán chức năng
• 翻译者英语 - 泰米尔语: செயல்பாட்டு கால்குலஸ்
• 翻译者英语 - 马拉地语: कार्यशील कॅलक्यूस
• 翻译者英语 - 土耳其语: Fonksiyonel hesap
• 翻译者英语 - 意大利语: calcolo funzionale
• 翻译者英语 - 波兰语: Rachunek funkcjonalny
• 翻译者英语 - 乌克兰语: функціональне числення
• 翻译者英语 - 罗马尼亚语: calcul funcțional
• 翻译者英语 - 希腊语: λειτουργική λογισμός
• 翻译者英语 - 布尔语(南非荷兰语): funksionele calculus
• 翻译者英语 - 瑞典语: funktionell tandsten
• 翻译者英语 - 挪威语: funksjonelle kalkulus

与 «FUNCTIONAL CALCULUS»相关的英语书籍

在以下的参考文献中发现functional calculus的用法。与functional calculus相关的书籍以及同一来源的简短摘要提供其在 英语文献中的使用情境。

Noncommutative Functional Calculus: Theory and Applications ...

This exposition of the new functional calculus methodology, as well as its analog for quaternionic linear operators is informed by the recently developed theory of hyperholomorphicity and is ideal for application to n-tuples of non ...

Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa, 2011

Concrete Functional Calculus

For nonlinear integral equations with respect to possibly discontinuous functions having unbounded variation, existence and uniqueness of solutions are proved under suitable assumptions.Key features and topics:* Extensive usage of p ...

R. M. Dudley, R. Norvaiša, 2010

The Functional Calculus for Sectorial Operators

This book contains a systematic and partly axiomatic treatment of the holomorphic functional calculus for unbounded sectorial operators.

Markus Haase, 2006

Functional Calculus of Pseudodifferential Boundary Problems

The main purpose of this book is to set up an operational calculus for operators defined from differential and pseudodifferential boundary values problems via a resolvent construction.

Gerd Grubb, 1996

The Absolute Functional Calculus for Sectorial Operators

We introduce the absolute functional calculus for sectorial operators.

Tamara Kucherenko, 2005

Partial Differential Equations and Functional Analysis: The ...

The diversity of applications and examples led to more general questions about the H∞-calculus. Can we construct a joint functional calculus for (non-) commuting operators? Are there general criteria for the boundedness of the H∞- calculus, ...

Erik Koelink, Jan M.A.M. van Neerven, Ben de Pagter, 2006

A Course in Commutative Banach Algebras

The single-variable holomorphic functional calculus associates with a complex- valued function f, which is defined and holomorphic in a neighbourhood of the spectrum of an element x of A, an element f(x) of A. This calculus and the properties ...

Eberhard Kaniuth, 2008

A Course in Functional Analysis

Near the end of this work I gave into my natural temptation and included some operator theory that, though basic for operator theory, might be considered specialized by some functional analysts.

John B. Conway, 1990

Operator Theory and Arithmetic in H [infinity]

Section 1 describes first the functional calculus for general completely nonunitary contractions T. This is a homomorphism h ,— * h(T) defined for h in H°° . T is an operator of class Co if this homomorphism has nontrivial kernel. It is shown that ...

Hari Bercovici

Spectral Properties of Noncommuting Operators

for two functions /. g belonging to the domain of the functional calculus. In the case of a selfadjoint operator A, the domain of the functional calculus defined by formula (1.3) is the Banach algebra LX(PA) under pointwise multiplication. For two ...

Brian Jefferies, 2004

包含词语«FUNCTIONAL CALCULUS»的新条目

找出国内和国际出版社所讨论的内容，以及词语functional calculus在以下新条目的上下文中是如何使用的。

Buy the Ticket, Fake the Ride: A Tech Scientist Devises a Means to …

Read through Haque's paper and you'll discover functional calculus, graphs on the Cartesian plane eerily resembling footballs, and exhaustive analysis of ... «SF Weekly, 三月 14»

William Charles Ramaley

He wrote two textbooks, Functional Calculus and Applied Calculus, which were published in 1995. While at Colorado College, he became ... «The Durango Herald, 六月 13»