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Some modulo functions can be factored or expanded similarly to other mathematical operations. This may be valuable in cryptography proofs, such as the Diffie–Hellman important Trade. The properties involving multiplication, division, and exponentiation generally involve that a and n are integers.

Take note which the elasticity of coiled springs comes from shear modulus, not Younger's modulus. When a spring is stretched, its wire's duration will not adjust, but its form does. This is certainly why only the shear modulus of elasticity is associated with the stretching of the spring. [citation wanted]

If p is a prime amount which isn't a divisor of b, then abp−one mod p = a mod p, on account of Fermat's small theorem.

Specified two positive numbers a and n, a modulo n (generally abbreviated like a mod n) is the remainder in the Euclidean division of the by n, exactly where a may be the dividend and n is the divisor.[one]

In computing and mathematics, the modulo operation returns the rest or signed remainder of the division, soon after one particular range is split by An additional, the latter getting known as the modulus in the operation.

Optimizations for normal continual-modulus operations also exist by calculating the division initial utilizing the regular-divisor optimization.

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is definitely the power exerted by the material when contracted or stretched by Δ L displaystyle Delta L

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