Modulus is the
diminutive
A diminutive is a word obtained by modifying a root word to convey a slighter degree of its root meaning, either to convey the smallness of the object or quality named, or to convey a sense of intimacy or endearment, and sometimes to belittle s ...
from the Latin word ''modus'' meaning measure or manner. It, or its plural moduli, may refer to the following:
Physics, engineering and computing
*
Moduli (physics), scalar fields for which the potential energy function has continuous families of global minima
* The measurement of
standard pitch in the teeth of a rotating gear
*
Bulk modulus
The bulk modulus (K or B or k) of a substance is a measure of the resistance of a substance to bulk compression. It is defined as the ratio of the infinitesimal pressure increase to the resulting ''relative'' decrease of the volume.
Other mo ...
, a measure of compression resistance
*
Elastic modulus
An elastic modulus (also known as modulus of elasticity (MOE)) is a quantity that describes an object's or substance's resistance to being deformed elastically (i.e., non-permanently) when a stress is applied to it.
Definition
The elastic modu ...
, a measure of stiffness
*
Shear modulus
In materials science, shear modulus or modulus of rigidity, denoted by ''G'', or sometimes ''S'' or ''μ'', is a measure of the Elasticity (physics), elastic shear stiffness of a material and is defined as the ratio of shear stress to the shear s ...
, a measure of elastic stiffness
*
Young's modulus
Young's modulus (or the Young modulus) is a mechanical property of solid materials that measures the tensile or compressive stiffness when the force is applied lengthwise. It is the modulus of elasticity for tension or axial compression. Youn ...
, a specific elastic modulus
*
Modulo operation
In computing and mathematics, the modulo operation returns the remainder or signed remainder of a Division (mathematics), division, after one number is divided by another, the latter being called the ''modular arithmetic, modulus'' of the operatio ...
(
a % b,
mod(a, b), etc.), in both math and programming languages; results in remainder of a division
* Casting modulus used in
Chvorinov's rule.
Mathematics
*
Modulus (modular arithmetic), base of modular arithmetic
* Modulus, the
absolute value
In mathematics, the absolute value or modulus of a real number x, is the non-negative value without regard to its sign. Namely, , x, =x if x is a positive number, and , x, =-x if x is negative (in which case negating x makes -x positive), ...
of a real or complex number ( )
*
Moduli space
In mathematics, in particular algebraic geometry, a moduli space is a geometric space (usually a scheme (mathematics), scheme or an algebraic stack) whose points represent algebro-geometric objects of some fixed kind, or isomorphism classes of suc ...
, in mathematics a geometric space whose points represent algebro-geometric objects
*
Conformal modulus, a measure of the size of a curve family
*
Modulus of continuity, a function gauging the uniform continuity of a function
* Similarly, the modulus of a
Dirichlet character
In analytic number theory and related branches of mathematics, a complex-valued arithmetic function \chi: \mathbb\rightarrow\mathbb is a Dirichlet character of modulus m (where m is a positive integer) if for all integers a and b:
# \chi(ab) = \ch ...
*
Modulus (algebraic number theory), a formal product of places of a number field
*
The modular function in the theory of Haar measure, often called simply the modulus
Other uses
*
''Modulus'' (gastropod) a genus of small sea snails
*
Modulus Guitars, musical instrument manufacturer
*
Modulus robot, a household robot
See also
*
Module (disambiguation)
*
Modulo (disambiguation)
{{disambiguation