Modular arithmetic
#1
I'll just preface this by saying I'm just a physics undergrad, so this might be a bit beyond my understanding, and I may well be missing something obvious or making a stupid mistake, but while playing around I noticed that it seems to be true that

\( ^{n}a\text{ mod }b= {}^{m}a\text{ mod }b \)

\( \text{For }^{n}a,{}^{m}a > b,\text{ }a,b,n,m \in \mathbb{N} \)

Is this actually true? And if so is there a proof of it I'll be able to wrap my mind around?
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Messages In This Thread
Modular arithmetic - by Stereotomy - 04/02/2010, 07:16 PM
RE: Modular arithmetic - by bo198214 - 04/02/2010, 10:57 PM
RE: Modular arithmetic - by Stereotomy - 04/03/2010, 12:18 AM
RE: Modular arithmetic - by bo198214 - 04/03/2010, 12:00 PM

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