Maksud "functional calculus" dalam kamus Corsica

SEBUTAN FUNCTIONAL CALCULUS DALAM CORSICA

functional calculus

APAKAH MAKSUD FUNCTIONAL CALCULUS dalam CORSICA?

Kalkulus fungsian

Functional calculus

Dalam matematik, kalkulus berfungsi adalah satu teori yang membolehkan seseorang menggunakan fungsi matematik kepada pengendali matematik. Ia kini merupakan cawangan bidang analisa fungsian, yang berkaitan dengan teori spektrum. Jika f adalah fungsi, katakan fungsi berangka nombor sebenar, dan M adalah pengendali, tidak ada sebab tertentu mengapa ungkapan f harus masuk akal. Sekiranya ia berlaku, maka kami tidak lagi menggunakan f pada domain fungsi aslinya. Dalam tradisi kalkulus operasinya, ungkapan algebra dalam pengendali dikendalikan tanpa menghiraukan maksudnya. Ini berlalu hampir tidak diketahui jika kita bercakap tentang 'mengkuadratkan matriks', walaupun, yang merupakan kes f = x2 dan M matriks n × n. Idea kalkulus fungsional adalah untuk membuat pendekatan berprinsip dengan jenis kelebihan beban notasi ini. Kes paling mendesak adalah untuk menggunakan fungsi polinomial pada matriks persegi, memanjangkan apa yang baru dibincangkan. Dalam kes dimensi-dimensi, kalkulus fungsi polinomial menghasilkan sedikit maklumat mengenai pengendali.

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.

TERJEMAHAN FUNCTIONAL CALCULUS

Cari terjemahan functional calculus kepada 25 bahasa dengan penterjemah Corsica pelbagai bahasa kami.

Terjemahan functional calculus dari Corsica ke bahasa lain yang dibentangkan dalam bahagian ini telah diperolehi menerusi terjemahan statistik automatik; di mana unit terjemahan penting adalah perkataan «functional calculus» dalam Corsica.

• Penterjemah Corsica - Cina: 功能性结石
• Penterjemah Corsica - Czech: cálculo funcional
• Corsica: functional calculus
• Penterjemah Corsica - Hindi: कार्यात्मक पथरी
• Penterjemah Corsica - Amhara: حساب التفاضل والتكامل الوظيفي
• Penterjemah Corsica - Rusia: функциональное исчисление
• Penterjemah Corsica - Punjabi: cálculo funcional
• Penterjemah Corsica - Basque: কার্যকরী ক্যালকুলাস
• Penterjemah Corsica - Frisia: fonctionnelle
• Penterjemah Corsica - Melayu: Kalkulus fungsian
• Penterjemah Corsica - Chichewa: Funktionalkalkül
• Penterjemah Corsica - Jepun: 関数計算
• Penterjemah Corsica - Kreol Haiti: 기능 미적분
• Penterjemah Corsica - Jerman: Kalkulus fungsional
• Penterjemah Corsica - Vietnam: tính toán chức năng
• Penterjemah Corsica - Tagalog: செயல்பாட்டு கால்குலஸ்
• Penterjemah Corsica - Marathi: कार्यशील कॅलक्यूस
• Penterjemah Corsica - Turki: Fonksiyonel hesap
• Penterjemah Corsica - Itali: calcolo funzionale
• Penterjemah Corsica - Poland: Rachunek funkcjonalny
• Penterjemah Corsica - Ukraine: функціональне числення
• Penterjemah Corsica - Romania: calcul funcțional
• Penterjemah Corsica - Cina: λειτουργική λογισμός
• Penterjemah Corsica - Afrikaans: funksionele calculus
• Penterjemah Corsica - Swahili: funktionell tandsten
• Penterjemah Corsica - Parsi: funksjonelle kalkulus

CORSICA BUKU YANG BERKAIT DENGAN «FUNCTIONAL CALCULUS»

Ketahui penggunaan functional calculus dalam pilihan bibliografi berikut. Buku yang berkait dengan functional calculus dan ekstrak ringkas dari yang sama untuk menyediakan konteks penggunaannya dalam kesusasteraan Corsica.

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

BARANGAN BERITA YANG TERMASUK TERMA «FUNCTIONAL CALCULUS»

Ketahui apa yang diterbitkan oleh akhbar nasional dan antarabangsa dan cara istilah functional calculus digunakan dalam konteks perkara berita berikut.

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, Mac 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, Jun 13»