Modular inverse:Modular Inverse

Modular Inverse

Modular Inverse

Amodularinverseofanintegerb(modulom)istheintegerb^(-1)suchthatbb^(-1)=1(modm).AmodularinversecanbecomputedintheWolframLanguage ...。其他文章還包含有:「a289.ModularMultiplicativeInverse」、「InverseModuloCalculator」、「ModularInverse」、「Modularinversemadeeasy」、「Modularinverses(article)」、「Modularmultiplicativeinverse」、「Modularmultiplicativeinverse.Keywords」、「模反元素」

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Amodularinverseofaninteger(modulo)istheintegersuchthatAmodularinversecanbecomputedintheWolframLanguage[1]usingPowerMod[2][b,-1,m].Everynonzerointegerhasaninverse(modulo)foraprimeandnotamultipleof.Forexample,themodularinversesof1,2,3,and4(mod5)are1,3,2,and4.Ifisnotprime,thennoteverynonzerointegerhasamodularinverse.Infact,anonzerointegerhasamodularinversemoduloiff[3]andarerelativelyprime[4].Forexample,(mod4)and(mod4),but2doesnothaveamodularinverse.Thetriangleabove(OEISA102057[5])givesmodularin...

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a289. Modular Multiplicative Inverse
a289. Modular Multiplicative Inverse

https://zerojudge.tw

一整數a 對模數n之模反元素是指滿足以下公式的整數b. a-1 ≡ b (mod n). 也可以寫成以下的式子. ab ≡ 1 (mod n). 現在給定兩個數字a, n,求一個最小 ...

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Inverse Modulo Calculator
Inverse Modulo Calculator

https://www.omnicalculator.com

Welcome to the inverse modulo calculator! It's here to help you whenever you need to determine modular multiplicative inverses or modular additive inverses.

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Modular Inverse
Modular Inverse

https://cp-algorithms.com

Instead of computing the inverse for every number, we can expand the fraction by the prefix product (excluding itself) and suffix product ( ...

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Modular inverse made easy
Modular inverse made easy

https://www.youtube.com

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Modular inverses (article)
Modular inverses (article)

https://www.khanacademy.org

The modular inverse of A (mod C) is A^-1 · (A * A^-1) ≡ 1 (mod C) or equivalently (A * A^-1) mod C = 1 · Only the numbers coprime to C (numbers that share no ...

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Modular multiplicative inverse
Modular multiplicative inverse

https://en.wikipedia.org

In mathematics, particularly in the area of arithmetic, a modular multiplicative inverse of an integer a is an integer x such that the product ax is ...

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Modular multiplicative inverse. Keywords
Modular multiplicative inverse. Keywords

https://medium.com

若取模的n是一個質數,則(a^-1) mod n,也就是a的模反元素可使用費馬小定理求得。

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模反元素
模反元素

https://zh.wikipedia.org

模反元素也稱為模倒數。 一整數 a -displaystyle a} -displaystyle a} 對同餘 n -displaystyle n} -displaystyle n} 之模反元素是指滿足以下公式的整數 b ...