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# modulus

[moj-uh-luh s] /ˈmɒdʒ ə ləs/
noun, plural moduli
[moj-uh-ahy] /ˈmɒdʒ ə aɪ/ (Show IPA)
1.
Physics. a coefficient pertaining to a physical property.
2.
Mathematics.
1. that number by which the logarithms in one system are multiplied to yield the logarithms in another.
2. a quantity by which two given quantities can be divided to yield the same remainders.
3. absolute value.
Origin of modulus
1555-1565
1555-65; < Latin: a unit of measure; see mode1, -ule
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2018.
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Examples from the Web for moduli
Historical Examples
• The intensities of the reflected and transmitted lights are the squares of the moduli of these expressions.

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

Paul Klapper
British Dictionary definitions for moduli

## modulus

/ˈmɒdjʊləs/
noun (pl) -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
3.
(maths) the number by which a logarithm to one base is multiplied to give the corresponding logarithm to another base
4.
(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 (sense 2)
Word Origin
C16: from Latin, diminutive of modus measure
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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moduli in Science
 modulus   (mŏj'ə-ləs)    Plural moduli (mŏj'ə-lī')A number by which two given numbers can be divided and produce the same remainder.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).The number by which a logarithm to one base must be multiplied to obtain the corresponding logarithm to another base.
The American Heritage® Science Dictionary