# modulus

[ moj-uh-luhs ]

noun,plural mod·u·li [moj-uh-ahy]. /ˈmɒdʒ ə aɪ/.
1. Physics. a coefficient pertaining to a physical property.

2. Mathematics.

• that number by which the logarithms in one system are multiplied to yield the logarithms in another.

• a quantity by which two given quantities can be divided to yield the same remainders.

## Origin of modulus

1
1555–65; <Latin: a unit of measure; see mode1, -ule

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

## How to use modulus in a sentence

• The moduli of Young and of simple rigidity lend themselves readily to quantitative laboratory experiments.

College Teaching | Paul Klapper
• The intensities of the reflected and transmitted lights are the squares of the moduli of these expressions.

• The songs of the Wandering Students were in a strict sense moduli as distinguished from versus; popular and not scholastic.

## British Dictionary definitions for modulus

modulus

/ (ˈmɒdjʊləs) /

nounplural -li (-ˌlaɪ)
1. physics a coefficient expressing a specified property of a specified substance: See bulk modulus, modulus of rigidity, Young's modulus

2. maths the absolute value of a complex number: See absolute value

1. maths the number by which a logarithm to one base is multiplied to give the corresponding logarithm to another base

2. maths an integer that can be divided exactly into the difference between two other integers: 7 is a modulus of 25 and 11 See also congruence (def. 2)

## Origin of modulus

1
C16: from Latin, diminutive of modus measure

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Scientific definitions for modulus

modulus

[ mŏjə-ləs ]

Plural moduli (mŏjə-lī′)
1. A number by which two given numbers can be divided and produce the same remainder.

2. The numerical length of the vector that represents a complex number. For a complex number a + bi, the modulus is the square root of (a2 + b2).

1. The number by which a logarithm to one base must be multiplied to obtain the corresponding logarithm to another base.