Update for 05-11-21 14:15
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math/euclidean_algorithm.wiki
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math/euclidean_algorithm.wiki
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= Euclidean Algorithm =
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@ -10,4 +10,5 @@ The purest study of them all
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* [[prime]]
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* [[relative_prime]]
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*
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* [[modular_inverse]]
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* [[euclidean_algorithm]]
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math/modular_inverse.wiki
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math/modular_inverse.wiki
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= Modular Inverse =
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A modular inverse is an _x_ such that satisfies the equation of form
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A * x = (mod m)
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This is derived from a statement in form
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A^-1 (mod m)
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This is due to the nature of modular operations, and can be shown via the
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following set of steps.
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A^-1 = 1/A
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A * x = 1
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x = 1/A
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Therefore, via substiution
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A * x = (mod m)
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This means that x will be the inverse of A
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To solve this, see the [[euclidean_algorithm]]
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