# Definition of modulus in English:

## modulus

### nounmoduli

• 1Mathematics

another term for absolute value

1. 1.1The 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.’
• 2Physics
A 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,.’
• ‘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.’
• ‘Thus, they are characterized by two elastic constants, Young modulus E and Poisson ratio v.’
1. 2.1A constant representing the degree to which a substance has a particular property, especially elasticity.
‘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’
• ‘The modulus of elasticity in shear, or modulus of rigidity, is about 16 GPa, while Poisson's ratio is 0.35.’
• ‘It is interesting to note that a considerable group of important structural materials have nearly the same ratio of modulus of elasticity to density.’
• 3Mathematics
A 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.’
• ‘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.’

### Origin

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