modulus

American  

[moj-uh-luhs] / ˈmɒdʒ ə ləs /

noun

• moduli
  plural

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.

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modulus British  

/ ˈmɒdjʊləs /

noun

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 See also congruence

   7 is a modulus of 25 and 11

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modulus Scientific  

/ mŏj′ə-ləs /

• moduli
  plural

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 (a ² + b ²).

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

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Other Word Forms

Noun Inflected Forms

• moduli
  plural

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Etymology

Origin of modulus

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

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Example Sentences

See Examples For:

modulus moduli

The nanotubes also had an ultra-low elastic modulus of about 20-30 GPa.

From Science Daily ● Feb. 2, 2024

One key is the use of one of the strongest intermediate modulus carbon fiber materials, which has been used in the aerospace industry.

From Golf Digest ● Oct. 2, 2017

Although bone is rigid compared with fat or muscle, several of the substances listed in Table 5.3 have larger values of Young's modulus Y .

From Textbooks ● Aug. 12, 2015

It states that, for a positive integer is found by raising the modulus to the power and multiplying the argument by It is the standard method used in modern mathematics.

From Textbooks ● Feb. 13, 2015

The modulus of compression and the rigidity are quantities of the same kind as Young’s modulus.

From Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 2 "Ehud" to "Electroscope" by Various

The experiments revealed that water had a significant effect, enhancing the energy dispersion and reducing the elastic moduli of the rocks across a wide range of frequencies.

From Science Daily ● Sep. 27, 2023

But in algebraic geometry, I would say intersection theory is especially interesting when we work with moduli spaces.

From Scientific American ● Sep. 26, 2023

One tool I use a lot that’s very important is: when you’re studying a moduli space, you try to cut it into pieces and understand what’s happening in each of those pieces.

From Scientific American ● Sep. 26, 2023

Lisanne Taams, a student at Radboud University in the Netherlands, is working on a Ph.D. about, in her words, “computing motives of moduli stacks of vector bundles on stacky curves.”

From New York Times ● Feb. 7, 2023

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

From College Teaching Studies in Methods of Teaching in the College by Paul Klapper

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