Definify.com

Webster 1913 Edition


Modulus


Mod′u-lus

,
Noun.
;
pl.
Moduli
(#)
.
[L., a small measure. See
Module
,
Noun.
]
(Math., Mech., & Physics)
A quantity or coefficient, or constant, which expresses the measure of some specified force, property, or quality, as of elasticity, strength, efficiency, etc.; a parameter.
Modulus of a machine
,
a formula expressing the work which a given machine can perform under the conditions involved in its construction; the relation between the work done upon a machine by the moving power, and that yielded at the working points, either constantly, if its motion be uniform, or in the interval of time which it occupies in passing from any given velocity to the same velocity again, if its motion be variable; – called also the efficiency of the machine.
Mosley.
Rankine.
Modulus of a system of logarithms
(Math.)
,
a number by which all the Napierian logarithms must be multiplied to obtain the logarithms in another system.
Modulus of elasticity
.
(a)
The measure of the elastic force of any substance, expressed by the ratio of a stress on a given unit of the substance to the accompanying distortion, or strain
.
(b)
An expression of the force (usually in terms of the height in feet or weight in pounds of a column of the same body) which would be necessary to elongate a prismatic body of a transverse section equal to a given unit, as a square inch or foot, to double, or to compress it to half, its original length, were that degree of elongation or compression possible, or within the limits of elasticity; – called also
Young’s modulus
.
Modulus of rupture
,
the measure of the force necessary to break a given substance across, as a beam, expressed by eighteen times the load which is required to break a bar of one inch square, supported flatwise at two points one foot apart, and loaded in the middle between the points of support.
Rankine.

Definition 2024


modulus

modulus

English

Noun

modulus (plural moduli)

  1. (mathematics) The base with respect to which a congruence is computed.
  2. (mathematics) The absolute value of a complex number.
  3. (physics) A coefficient that expresses how much of a certain property is possessed by a certain substance.
  4. (computing, programming) An operator placed between two numbers, to get the remainder of the division of those numbers.

Synonyms

  • (programming): mod, %

Derived terms

Translations

External links


Latin

Etymology

Diminutive from modus (measure; manner, way).

Pronunciation

Noun

modulus m (genitive modulī); second declension

  1. a small measure or interval
  2. (architecture) a module
  3. (aqueducts) a water meter
  4. (music) a rhythmical measure, interval, rhythm, mode, time

Inflection

Second declension.

Case Singular Plural
nominative modulus modulī
genitive modulī modulōrum
dative modulō modulīs
accusative modulum modulōs
ablative modulō modulīs
vocative module modulī

Derived terms

Related terms

Descendants

References