"factorise"辞典での英語の意味

英語でFACTORISEの発音

factorise  [ˈfæktəˌraɪz]

英語でFACTORISE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.

英語の動詞FACTORISEの活用

PRESENT

Present

I factorise

you factorise

he/she/it factorises

we factorise

you factorise

they factorise

Present continuous

I am factorising

you are factorising

he/she/it is factorising

we are factorising

you are factorising

they are factorising

Present perfect

I have factorised

you have factorised

he/she/it has factorised

we have factorised

you have factorised

they have factorised

Present perfect continuous

I have been factorising

you have been factorising

he/she/it has been factorising

we have been factorising

you have been factorising

they have been factorising

PAST

Past

I factorised

you factorised

he/she/it factorised

we factorised

you factorised

they factorised

Past continuous

I was factorising

you were factorising

he/she/it was factorising

we were factorising

you were factorising

they were factorising

Past perfect

I had factorised

you had factorised

he/she/it had factorised

we had factorised

you had factorised

they had factorised

Past perfect continuous

I had been factorising

you had been factorising

he/she/it had been factorising

we had been factorising

you had been factorising

they had been factorising

FUTURE

Future

I will factorise

you will factorise

he/she/it will factorise

we will factorise

you will factorise

they will factorise

Future continuous

I will be factorising

you will be factorising

he/she/it will be factorising

we will be factorising

you will be factorising

they will be factorising

Future perfect

I will have factorised

you will have factorised

he/she/it will have factorised

we will have factorised

you will have factorised

they will have factorised

Future perfect continuous

I will have been factorising

you will have been factorising

he/she/it will have been factorising

we will have been factorising

you will have been factorising

they will have been factorising

CONDITIONAL

Conditional

I would factorise

you would factorise

he/she/it would factorise

we would factorise

you would factorise

they would factorise

Conditional continuous

I would be factorising

you would be factorising

he/she/it would be factorising

we would be factorising

you would be factorising

they would be factorising

Conditional perfect

I would have factorise

you would have factorise

he/she/it would have factorise

we would have factorise

you would have factorise

they would have factorise

Conditional perfect continuous

I would have been factorising

you would have been factorising

he/she/it would have been factorising

we would have been factorising

you would have been factorising

they would have been factorising

IMPERATIVE

Imperative

you factorise
we let´s factorise
you factorise

NONFINITE VERB FORMS

Infinitive

to factorise

Past participle

factorised

Present Participle

factorising

FACTORISEの翻訳

当社の英語多言語翻訳者が翻訳した25ヵ国語のfactorise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factorise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«factorise»という単語です。

• 英語翻訳家 - 中国語: 地分解
• 英語翻訳家 - スペイン語: factorización
• 英語: factorise
• 英語翻訳家 - ヒンディー語: factorise
• 英語翻訳家 - アラビア語: factorise
• 英語翻訳家 - ロシア語: факторизовать
• 英語翻訳家 - ポルトガル語: factorise
• 英語翻訳家 - ベンガル語: factorise
• 英語翻訳家 - フランス語: factoriser
• 英語翻訳家 - マレー語: Factorise
• 英語翻訳家 - ドイツ語: faktorisieren
• 英語翻訳家 - 日本語: factorise
• 英語翻訳家 - 韓国語: 분해 인수
• 英語翻訳家 - ジャワ語: Faktorise
• 英語翻訳家 - ベトナム語: factorise
• 英語翻訳家 - タミル語: காரணிப்படுத்து
• 英語翻訳家 - マラーティー語: घटक
• 英語翻訳家 - トルコ語: Factorise
• 英語翻訳家 - イタリア語: fattorizzare
• 英語翻訳家 - ポーランド語: wydzielić
• 英語翻訳家 - ウクライナ語: факторізовать
• 英語翻訳家 - ルーマニア語: factoriza
• 英語翻訳家 - ギリシャ語: factorise
• 英語翻訳家 - アフリカーンス語: Faktoriseer
• 英語翻訳家 - スウェーデン語: faktorisera
• 英語翻訳家 - ノルウェー語: faktor

«FACTORISE»に関連する英語の本

以下の図書目録からfactoriseの使いかたを見つけましょう。factorise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。

Singapore Secondary 3 Mathematics Challenging Drill ...

(a) Factorise 2x3 — xy — 4x2y + 2y2. (b) Solved+2:§_d+9. d 4 2d 19. Factorise completely (a) xy+4y+3x +12 (b) 8y4 +14y2 —4 20. Factorise completely (X — y)( 2X — y) — (X — 2y)(y — X) - 21. Factorise completely (a) 4ax2 — 3b +12bx2 — a  ...

Thomas Bond, Chris Hughes, 2013

ST(P) Mathematics

I. Factorise 9ab + \2bc 9ab + \2bc = 36 x 3a + 30 x 4c = 3/> (3a + 4c) Factorise: 19 . 2.Y2-6.Y 20. 2r3 + 4z 21 . 25a2 - 5a 22. 12.Y2 + 16.Y 23. 5a/> - lObc 24. 3v2 + 27 v 25. 2a2 - \2a 26. 6p2 + 2p 27. 9 v2 - 6v Factorise ab + 2bc + bd ab + 2bc + bd ...

‎1992

Singapore Secondary 3 Mathematics Challenging Drill ...

Factorise completely 4802 —27d2. 6% 2. Factorise x6 —3x3 +2. 6% 3. Factorisei5ax+21bx—14by—10ay completely. °'% 4. Factorise completely (a) 8a —4a2 (b) 25y2—4 (c) 2x2+6xz+5xy+15yz 6% 5. Factorise completely the following ...

Thomas Bond, Chris Hughes, 2013

Year 10 Advanced Mathematics: Stage 5.3

Then you will have the difference of two squares, twice. Hint 3: Be careful with the negative values. Remember that a divides into a once. Hint 4: Factorise, then cancel. Hint 5: Factorise both denominators first in order to find the lowest common ...

Lyn Baker, 2006

Turbomaths Grade 12

Choose x = a. The LHS becomes f (a). The first term on the right is then 0, so f (a) = r, which is the remainder. A powerful application of the remainder is the fact that we can use it factorise cubics. We know that 4 is a factor of 12. Why is this so?

Dr. S. Hansraj

New Maths in Action

Example 1 Factorise fully 2ax2 - 8ay2. Start 2ax2 - Say2 = 2a(x2 - 4y2) = 2a(x - 2y )(x + 2y) Remove any common factor ... common factor ... difference of two squares Example 2 Factorise fully 3x2 + 3x - 6. 3x2 + 3x - 6 = 3(x2 + x - 2) = 3(x + 2)(x ...

‎2004

Essential Mathematics 9

Factorise each of the following (a) (x - y)2 - z2 (b) (a + bf - Ac2 (e) c2 - (2a - 3b)2 (f ) (3x - y)2 - 4y2 (h) (7x + 3)2 - (3x - 4)2 (i) 16x2 - (4x - 1)2 4. Factorise each of the following (a) x2 + 2xy + y2 - a2 (c) a2-6ab+9b2-16x2 (e) y2 - c2 + 2cx - x2 (g) ...

PAJ Lewis

Excel Preliminary Mathematics

Facto rise: a 7* + 28 b h:-8/j 16x + 12y-36z d 5n2+25mn e aV-oV 51 Factorise: a e2-100 b 1-r2 C 64p2-121fl2 d g' ... 2mn-6n d x2+xy + x + y 53 Factorise: a 06 - 9a - 76 + 63 b p2 +pq -mp-mq 54 Factorise: 5 x2+7x + 12 b £2+3c-88 c k2 - 9k + 20 ...

Lyn Baker, 2001

Mathematics

... q)2-l(p + q) + 6 Let p + q = r = 2r2-lr + 6 = 2r2-(4 + 3)r + 6 = 2r2-4r-3r + 6 = 2r(r-2 )-3(r-2) = (r-2)(2r-3) = (p + q-2)[2(p + q)-3] = (p + q-2)(2p + 2q-3) 6. (a) Factorise : 20 - 45 (m + n)2 (ft) Factorise : 4r2 + 9y2 (c) Factorise : a2 + b1 + a + ft + lab Sol.

Augustus De Morgan, John Whitehead

Together with Continuous and Comprehensive Evaluation (CCE) ...

24. Show that if 2 (a2 + b2) = (a + A)2, then a = b. Sol. 2 (a2 + b2) - (a + bf => 2cr + 2b2 = cr + 62 + 2a6 => la2 + 2b2- a2 - b2 - 2cj6 = 0 => a2 4 62 - 2aft = 0 =>(a- ft) 2 = 0 => a - b = 0 or a = b. 25. Factorise each of the following : (a) x2 + 2ax - b2 ...

用語«FACTORISE»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factorise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。

A little bit, better

One example—Shor's algorithm, invented by Peter Shor of the Massachusetts Institute of Technology—can factorise any non-prime number. «The Economist, 6月 15»

ASUS ZenPower 10050mAh Power Bank Review: Compact Yet …

For testing the power bank, we used various smartphones and gadgets from different makers to factorise the real output. Before moving any ... «International Business Times, India Edition, 6月 15»

Miranda Bryant: Schools should not be fodder for reality TV fans

That's surely where a school should step in to say no for them. It's time to de-X Factorise classrooms and stop turning schoolchildren into reality ... «Evening Standard, 10月 14»

Over 400 delegates expected at BOCCIM conference

hence top of the agenda would be addressing issues that factorise this. “The country is not competitive as it has been rated in the lowest ... «Mmegi Online, 10月 14»

The lighter side of the dark net

These agencies don't have to factorise the product of two primes, they've got a database of products of primes and they just look the multiplier ... «Telegraph.co.uk, 9月 14»

Google Can't Protect Our Privacy-Why We Need New Laws

At its heart is a simple idea – that while it's trivially easy to multiply two very large numbers together, it's computationally very difficult to factorise ... «Business Insider, 6月 14»

The threat to internet security from quantum computing

It is used to factorise large numbers, something that classical computing finds very difficult. The difficulty in factorising large numbers has long ... «Computing, 2月 14»

Plan to force year 12 high school students to study maths

How many kilometres did Kiran travel correct to one decimal point? 17.1; 18.5; 34.7; 68.6. Q.7. Factorise -4m -12. -4 (m+3); -4 (m-12); -4 (m-3) «The Daily Telegraph, 1月 14»

Entangled spies: Why the NSA wants a quantum computer

... aspirations for a machine consisting of two working qubits – far too small to factorise the large numbers that ordinary computers struggle with. «New Scientist, 1月 14»

X&Y, Science Museum, review

Factorise.” And that, dear readers, is when this critic and his rusty, 12 year-old Maths GCSE began to lose track. X&Y is a look at conceptual ... «Telegraph.co.uk, 10月 13»