# Definition of *modulus* in English:

## modulus

Line breaks: modu|lusPronunciation: /ˈmɒdjʊləs
/

### noun ( plural moduli /-lʌɪ, -liː/)

*Mathematics*

1.1The positive square root of the sum of the squares of the real and imaginary parts of a complex number.

More 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.

More 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.

More 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*.

## Definition of **modulus** in:

- The US English dictionary