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![Modular arithmetic - Wikipedia, the free encyclopedia]()
en.wikipedia.orgIn mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones Ar瀏覽：688 -
![Category:Modular arithmetic - Wikipedia, the free encyclopedia]()
en.wikipedia.orgIn mathematics, modular arithmetic is a system of arithmetic for certain equivalence classes of integers, called congruence classes. Sometimes it is suggestively called 'clock arithmetic', where numbers 'wrap around' after they reach a certain value (the瀏覽：1117
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日期：2024-08-24
Modular arithmetic is the arithmetic of congruences, sometimes known informally as "clock arithmetic." In modular arithmetic, numbers "wrap around" upon reaching a given fixed quantity, which is known as the modulus (which would be 12 in the case of hours...
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日期：2024-08-23
A reader recently suggested I write about modular arithmetic (aka "taking the remainder"). I hadn't given it much thought, but realized the modulo is extremely ... Jess, I think I can answer your question. If you want to take 3/5 (mod 6), you just need to...
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日期：2024-08-24
Let the students know what it is they will be doing and learning today. Say something like this: Today, class, we will be talking about modular arithmetic and how to use it to solve real world problems. We are going to use the computers to learn about ......
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日期：2024-08-23
Modular Arithmetic: introduction and an interactive tools. Modular (often also Modulo) Arithmetic is an unusually versatile tool discovered by K.F.Gauss (1777-1855) in 1801. Two numbers a and b are said to be equal or congruent modulo N iff N|(a-b), i.e. ...
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日期：2024-08-25
Modular arithmetic is quite a useful tool in number theory. In particular, it can be used to obtain information about the solutions (or lack thereof) of a specific equation. This page gives a fairly detailed introduction. Another good introduction, in the...
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日期：2024-08-24
Inverses: The other use of Euler’s Theorem is to compute inverses modulo n. For instance, if we need to nd a value bsuch that 3b 1 (mod 29), we recall that 3’(29) 1 (mod 29) and ’(29) = 28, to get 3 327 1 (mod 29) so b= 327 does the trick. There are two s...
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日期：2024-08-26
In solving certain problems, we might make appropriate arithmetic tables. Division (Cancellation) Division Relatively Prime Let a•b≡a•c (mod m), where a is not equivalent to zero, mod m. (When a≡0, we cannot divide by a). We can cancel a only when a and m...
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日期：2024-08-26
From AoPSWiki Modular arithmetic is a special type of arithmetic that involves only integers. This goal of this article is to explain the basics of modular arithmetic while presenting a progression of more difficult and more interesting problems that are ...
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