modulus Sentence Examples

  1. The modulus operator performs division and returns the remainder.
  2. In modular arithmetic, operations are performed on numbers within a specified modulus.
  3. The Euler's phi function provides the number of integers less than the given modulus that are coprime to it.
  4. The RSA encryption algorithm relies on the difficulty of factoring large numbers that are products of two prime moduli.
  5. In group theory, the order of an element is the smallest positive integer such that its power is equal to the modulus.
  6. Hash functions typically use a modulus to reduce the output size to a manageable range.
  7. The Hensel's lemma allows for the computation of congruences modulo a composite modulus in an iterative manner.
  8. Congruence modulo a prime modulus is a special case of modular arithmetic.
  9. The cyclic subgroups of the multiplicative group modulo a fixed modulus form a lattice structure.
  10. In the Chinese remainder theorem, multiple congruences modulo distinct moduli can be combined to form an equivalent congruence modulo the product of moduli.

modulus Meaning

Wordnet

modulus (n)

an integer that can be divided without remainder into the difference between two other integers

the absolute value of a complex number

(physics) a coefficient that expresses how much of a specified property is possessed by a specified substance

Webster

modulus (n.)

A quantity or coefficient, or constant, which expresses the measure of some specified force, property, or quality, as of elasticity, strength, efficiency, etc.; a parameter.

Synonyms & Antonyms of modulus

No Synonyms and anytonyms found

FAQs About the word modulus

an integer that can be divided without remainder into the difference between two other integers, the absolute value of a complex number, (physics) a coefficient

No synonyms found.

No antonyms found.

The modulus operator performs division and returns the remainder.

In modular arithmetic, operations are performed on numbers within a specified modulus.

The Euler's phi function provides the number of integers less than the given modulus that are coprime to it.

The RSA encryption algorithm relies on the difficulty of factoring large numbers that are products of two prime moduli.