Definition of modulus in English:

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Pronunciation: /ˈmäjələs/

noun (plural moduli /-ˌlī/ /-ˌlē/)

1 another term for absolute value.
1.1The positive square root of the sum of the squares of the real and imaginary parts of a complex number.
Example sentences
  • The concept of the modulus of a complex number is also due to Argand but Cauchy, who used the term later, is usually credited as the originator this concept.
2A constant factor or ratio.
Example sentences
  • Such a material can be characterized by simple moduli (ratios of stress to strain): Young's modulus, E, and Poisson's ratio,.
  • For example, in this case, it is easier to try to factor the modulus N than to perform an exhaustive key search on all possible decryption keys.
  • A cost from a cost function is calculated according to a constant modulus algorithm.
2.1A constant indicating the relation between a physical effect and the force producing it.
Example sentences
  • While heat treatment had little, if any effect of the modulus of elasticity of the composites, it did affect the transition into plastic flow.
  • The crosshatched regions in Fig.1 indicate the modulus of resilience for each steel.
  • Flexible carbon fiber electrode with low modulus and high electrical conductivity, battery employing the carbon fiber electrode, and method of manufacture
3A number used as a divisor for considering numbers in sets, numbers being considered congruent when giving the same remainder when divided by a particular modulus.
Example sentences
  • This is known as using arithmetic modulo 26, and 26 is known as the modulus.
  • Daemen and Rijmen picked x 8 + 1 as the modulus polynomial because it was simple-as simple as one could get.
  • His first notebook was on hypergeometric series, continued fractions, singular moduli, and many branches of number theory.


Mid 16th century (denoting an architectural unit of length): from Latin, literally 'measure', diminutive of modus.

For editors and proofreaders

Syllabification: mod·u·lus

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