# modulus

Line breaks: modu|lus
Pronunciation: /ˈmɒdjʊləs /

## Definition of modulus in English:

### noun (plural moduli /-lʌɪ, -liː/)

Mathematics
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: the modulus of elasticity
More 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.

### Origin

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

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