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Congruence statements, with a statement of percentage

by 1MileCrash
Tags: congruence, percentage, statement, statements
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1MileCrash
#1
Jul18-14, 08:21 AM
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Suppose I have three statements of congruence:

x = a mod n, y = b mod m, z = c mod p;

Furthermore, x is a given percent of x + y + z, as is y and z.

Does this uniquely determine x, y, z? Or does it at least restrict x to a predictable subset of the congruence class of a, and so on?

Thank you.
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micromass
#2
Jul18-14, 08:32 AM
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The main result: http://en.wikipedia.org/wiki/Chinese_remainder_theorem
1MileCrash
#3
Jul18-14, 08:38 AM
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P: 1,304
Quote Quote by micromass View Post
I'm not sure I see how to apply the Chinese remainder theorem here. Can you elaborate?

Thanks again


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