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Solving a congruence/modular equation : $(((ax) \mod M) + b) \mod M = (ax + b) \mod M$

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#modular-arithmetic #congruence-relations
703
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Congruence for real numbers

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34
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How to calculate this congruency?

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#modular-arithmetic #congruence-relations
103
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Chinese remainder theorem - A, B and C think of a code

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#modular-arithmetic #chinese-remainder-theorem #congruence-relations
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$f(x) \equiv 1$ mod $(x-1)$ and $f(x) \equiv 0$ mod $(x-3)$ then is there any $f(x)$?

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#elementary-number-theory #modular-arithmetic #congruence-relations
143
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Objects of a congruence category

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#category-theory #congruence-relations
91
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Questions about the system $x+c_1\equiv y \pmod z$ and $d=y+c_2$ for integers $x$, $y$, $z$, $c_1$, $c_2$

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#number-theory #discrete-mathematics #modular-arithmetic #cryptography #congruence-relations
5.7k
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How is $(x+y)^p \equiv x^p + y^p$ mod $p$ for any prime number $p$?

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#abstract-algebra #number-theory #modular-arithmetic #congruence-relations
208
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Simplifying powers in a congruence

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#elementary-number-theory #modular-arithmetic #congruence-relations
80
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Finding the number that, to a given power, is congruent to given modulo

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#congruence-relations
38
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Congruations - relations

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#modular-arithmetic #congruence-relations
113
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Applying set operations on congruent mod relation

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#discrete-mathematics #modular-arithmetic #congruence-relations
724
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Solve linear congruences

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#discrete-mathematics #modular-arithmetic #congruence-relations
2.2k
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How to find the inverse of a number in a congruence relation

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#modular-arithmetic #congruence-relations
60
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Solve a set of congruences

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#discrete-mathematics #modular-arithmetic #congruence-relations

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