Let m > 0 be a positive integer called the modulus. We say that two integers a and b. are congruent m. dulo m if b − a is divisible by m. In other words, �. dm) ⇐⇒ a − b = m · k for some integerk. Note: …

For example, if we want the product of two numbers modulo n, then we multiply them normally and the answer is the remainder when the normal product is divided by n. The value n is sometimes called …

The modulus of elasticity (= Young’s modulus) E is a material property, that describes its stiffness and is therefore one of the most important properties of solid materials.

The modulus of a number is its magnitude so a positive number stays the same value while a negative number becomes its positive equivalent. The basic modulus function is y = |x | . Since |x | is always …

The modulus of rigidity, also called shear modulus, indi-cates the resistance to deflection of a member caused by shear stresses. The three moduli of rigidity denoted by GLR, GLT, and GRT are the …

The central definition in studying modular arithmetic systems establishes a relationship between pairs of numbers with respect to a special number m called the modulus:

So in number theory the modulus is the unit of measure that we use in congruences. More precisely, we measure according to a cycle of length equal to a given modulus.