Definition of modulus in English:

modulus

noun

Mathematics
  • 1

    another term for absolute value
    1. 1.1 The positive square root of the sum of the squares of the real and imaginary parts of a complex number.
      • ‘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.

    • ‘Such a material can be characterized by simple moduli (ratios of stress to strain): Young's modulus, E, and Poisson's ratio,.’
    • ‘Thus, they are characterized by two elastic constants, Young modulus E and Poisson ratio v.’
    • ‘A cost from a cost function is calculated according to a constant modulus algorithm.’
    • ‘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.’
    1. 2.1 A constant indicating the relation between a physical effect and the force producing it.
      • ‘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.’
      • ‘It is interesting to note that a considerable group of important structural materials have nearly the same ratio of modulus of elasticity to density.’
      • ‘The modulus of elasticity in shear, or modulus of rigidity, is about 16 GPa, while Poisson's ratio is 0.35.’
      • ‘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.

    • ‘This is known as using arithmetic modulo 26, and 26 is known as the modulus.’
    • ‘His first notebook was on hypergeometric series, continued fractions, singular moduli, and many branches of number theory.’
    • ‘Daemen and Rijmen picked x 8 + 1 as the modulus polynomial because it was simple-as simple as one could get.’

Origin

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

Pronunciation:

modulus

/ˈmäjələs/