"factorization"辞典での英語の意味

英語でFACTORIZATIONの発音

factorization  [ˌfæktəraɪˈzeɪʃən]

英語でFACTORIZATIONはどんな意味ですか？

因数分解

Factorization

数学では、因数分解や因数分解は、あるオブジェクトを他のオブジェクトやファクタの積に分解し、それを乗算すると元のものになります。 例えば、数15は3×5の素数になります。多項式のx2 - 4は次のようになります。 すべての場合において、より単純なオブジェクトの生成物が得られる。 因数分解の目的は、通常、何かを素数の数や多項式から既約多項式へのような「基本的な構成要素」に減らすことです。 整数を因数分解することは、代数の基本定理による多項式の算術と因数分解の基本定理によってカバーされる。 Vièteの公式は、多項式の係数をその根と関連づけます。 多項式分解の逆は、拡張であり、多項式要素を「拡張された」多項式に掛け合わせて、単に項の和として書かれる。 大きな整数の整数分解は難しい問題のようです。 それをすぐに実行する方法は知られていません。 その複雑さは、RSAなどの一部の公開鍵暗号アルゴリズムの想定されるセキュリティの基礎になります。

In mathematics, factorization or factoring is the decomposition of an object into a product of other objects, or factors, which when multiplied together give the original. For example, the number 15 factors into primes as 3 × 5, and the polynomial x2 − 4 factors as. In all cases, a product of simpler objects is obtained. The aim of factoring is usually to reduce something to “basic building blocks”, such as numbers to prime numbers, or polynomials to irreducible polynomials. Factoring integers is covered by the fundamental theorem of arithmetic and factoring polynomials by the fundamental theorem of algebra. Viète's formulas relate the coefficients of a polynomial to its roots. The opposite of polynomial factorization is expansion, the multiplying together of polynomial factors to an “expanded” polynomial, written as just a sum of terms. Integer factorization for large integers appears to be a difficult problem. There is no known method to carry it out quickly. Its complexity is the basis of the assumed security of some public key cryptography algorithms, such as RSA.

英語辞典でのfactorizationの定義

辞書における因子分解の定義は因子への分解である。

FACTORIZATIONの翻訳

当社の英語多言語翻訳者が翻訳した25ヵ国語のfactorizationを探してみましょう。

自動統計翻訳によって、このセクションで示されている英語から他の言語へのfactorizationの翻訳を訳しました。この場合は、必須の翻訳単位は英語で«factorization»という単語です。

• 英語翻訳家 - 中国語: 因式分解
• 英語翻訳家 - スペイン語: factorización
• 英語: factorization
• 英語翻訳家 - ヒンディー語: factorization
• 英語翻訳家 - アラビア語: التعميل
• 英語翻訳家 - ロシア語: разложение
• 英語翻訳家 - ポルトガル語: fatoração
• 英語翻訳家 - ベンガル語: গুণকনির্ণয়
• 英語翻訳家 - フランス語: factorisation
• 英語翻訳家 - マレー語: Pemfaktoran
• 英語翻訳家 - ドイツ語: Faktorisierung
• 英語翻訳家 - 日本語: 因数分解
• 英語翻訳家 - 韓国語: 인수 분해
• 英語翻訳家 - ジャワ語: Faktorisasi
• 英語翻訳家 - ベトナム語: phần từ
• 英語翻訳家 - タミル語: காரணியாக்கத்தையும்
• 英語翻訳家 - マラーティー語: घटकीकरण
• 英語翻訳家 - トルコ語: çarpanlarına ayırma
• 英語翻訳家 - イタリア語: scomposizione
• 英語翻訳家 - ポーランド語: faktoryzacji
• 英語翻訳家 - ウクライナ語: розкладання
• 英語翻訳家 - ルーマニア語: factorizare
• 英語翻訳家 - ギリシャ語: παραγοντοποίηση
• 英語翻訳家 - アフリカーンス語: faktorisering
• 英語翻訳家 - スウェーデン語: faktorisering
• 英語翻訳家 - ノルウェー語: faktorisering

«FACTORIZATION»に関連する英語の本

以下の図書目録からfactorizationの使いかたを見つけましょう。factorizationに関する本と英語文献で使われた文脈を提供するための簡単な抜粋文。

Prime Numbers and Computer Methods for Factorization

Hans Riesel’s highly successful first edition of this book has now been enlarged and updated with the goal of satisfying the needs of researchers, students, practitioners of cryptography, and non-scientific readers with a mathematical ...

Hans Riesel, 2011

Factorization: Unique and Otherwise

The book can be used as a text for a first course in number theory or for self-study by motivated high school students or readers interested in modern mathematics.

Steven H. Weintraub, 2008

Factorization and Primality Testing

This book focuses on a single problem: how to factor a large integer or prove its prime.

David M. Bressoud, 1989

A State Space Approach to Canonical Factorization with ...

The present book concentrates on canonical factorization and its applications. Together both books present a rich and far reaching update of the 1979 monograph, the first book in the OTAA series, written by the first three authors.

Harm Bart, Israel Gohberg, Marinus A. Kaashoek, 2011

Factorization in Integral Domains

The contents in this work are taken from both the University of Iowa's Conference on Factorization in Integral Domains, and the 909th Meeting of the American Mathematical Society's Special Session in Commutative Ring Theory held in Iowa ...

Daniel Anderson, 1997

Rings and Factorization

The book also contains many exercises of varying degrees of difficulty together with hints and solutions.

David Sharpe, 1987

Factorization Calculus and Geometric Probability

The main ideas presented have application to such areas as stereology and geometrical statistics and this book will be a useful reference book for university students studying probability theory and stochastic geometry, and research ...

R. V. Ambartzumian, 1990

Schur Parameters, Factorization And Dilation Problems

Some general algorithms that explore the transmission line are also presented in this book. As a whole, the text is self-contained and it is addressed to people interested in the previously mentioned topics or connections between them.

Tiberiu Constantinescu, 1996

Topics in Factorization of Abelian Groups

The main objective of this book is to give a systematic exposition of the main results and techniques of the factorization theory of abelian groups.

Sandor Szabo, 2004

Factorization of Matrix and Operator Functions: The State ...

The present book deals with factorization problems for matrix and operator functions.

Harm Bart, Israel Gohberg, Marinus A. Kaashoek, 2007

用語«FACTORIZATION»を含むニュース項目

国内外の報道機関が語った内容や、次のニュース項目の文脈からfactorizationという用語がどのように使われているかを調べてみましょう。

Deciding when to stop: efficient experimentation to learn to predict …

The focus of this work is not to promote a particular drug-target prediction method, but to show using matrix factorization as an example of how drug-target ... «BMC Blogs Network, 7月 15»

Brain-Inspired 'Memcomputer' Constructed

... many qubits in quantum computation, where the entangled state is used to solve efficiently certain types of problems such as factorization (9). «Military Technologies, 7月 15»

Clarkson University's Philip Hopke Honored for Paper on Air Quality

The paper, "Source Identification of Atlanta Aerosol by Positive Matrix Factorization," describes a quantitative source apportionment for the ... «Clarkson University News, 7月 15»

Baltimore Ravens lineman and accomplished mathematician wants …

Or just more factorization. And this isn't what it is at all.” “But what it is really teaching you the entire way through, is it's showing you how to look ... «USA TODAY, 6月 15»

John Urschel Talks About Why More Young Kids Don't Love Math

It teaches you factorization,” he said. “But what it is really teaching you the entire way through, is it's showing you how to look at some problem ... «Huffington Post, 6月 15»

Trend Filtering: Recent Advances and Challenges (#1) Privacy-for …

... ICML 2015, Lille, France. Ziqi LIU, Yu-Xiang WANG, and Alex SMOLA (2015). "Fast Differential Private Matrix Factorization", submitted. «Perspectives@SMU, 6月 15»

Mathletes on the rise at Pinole Middle School

Li and her assistant coach, Nate Quan, have taught crash courses in fractions/decimals, algebra, factorization, probability and other math tools ... «Richmond Standard, 6月 15»

Audit of GitHub SSH Keys Finds Many Still Vulnerable to Old Debian …

Those key lengths are short enough to be in the range of factorization on many modern machines. “512 bit keys have been known to be ... «Threatpost, 6月 15»

Researchers Break RSA 4096-Bit Keys, but Don't Worry Yet

Phuctor is the result of a collaboration between Stanislav Datskovskiy and Mircea Popescu, and represents an RSA key factorization service ... «Softpedia News, 5月 15»

Diving Into the DNS

... systems uses prime number manipulation, and what protects much of this function is the difficulty of performing prime number factorization. «CircleID, 5月 15»