Modulus is the

diminutive A diminutive is a root word that has been modified 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. A (abbreviated ) is a word-formati ...

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) In quantum field theory, the term moduli (or more properly moduli fields) is sometimes used to refer to scalar fields whose potential energy function has continuous families of global minima. Such potential functions frequently occur in supersym ...

, 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) of a substance is a measure of how resistant to compression the substance is. It is defined as the ratio of the infinitesimal pressure increase to the resulting ''relative'' decrease of the volume. Other moduli describe ...

, a measure of compression resistance *

Elastic modulus An elastic modulus (also known as modulus of elasticity) is the unit of measurement of an object's or substance's resistance to being deformed elastically (i.e., non-permanently) when a stress is applied to it. The elastic modulus of an object is ...

, 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 elastic shear stiffness of a material and is defined as the ratio of shear stress to the shear strain: :G \ \stackrel ...

, a measure of elastic stiffness *

Young's modulus Young's modulus E, the Young modulus, or the modulus of elasticity in tension or compression (i.e., negative tension), is a mechanical property that measures the tensile or compressive stiffness of a solid material when the force is applied leng ...

, a specific elastic modulus *

Modulo operation In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another (called the '' modulus'' of the operation). Given two positive numbers and , modulo (often abbreviated as ) is th ...

(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 Chvorinov's rule is an applied physics relationship first expressed by Czech engineer Nicolas Chvorinov in 1940, that relates the solidification time for a simple casting to the volume and surface area of the casting. In simple terms the rule est ...

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 is a positive number, and , x, =-x if x is negative (in which case negating x makes -x positive), an ...

of a real or complex number ( ) *

Moduli space In mathematics, in particular algebraic geometry, a moduli space is a geometric space (usually a scheme or an algebraic stack) whose points represent algebro-geometric objects of some fixed kind, or isomorphism classes of such objects. Such spac ...

, in mathematics a geometric space whose points represent algebro-geometric objects *

Conformal modulus In the mathematical theory of conformal and quasiconformal mappings, the extremal length of a collection of curves \Gamma is a measure of the size of \Gamma that is invariant under conformal mappings. More specifically, suppose that D is an open se ...

, a measure of the size of a curve family *

Modulus of continuity In mathematical analysis, a modulus of continuity is a function ω : , ∞→ , ∞used to measure quantitatively the uniform continuity of functions. So, a function ''f'' : ''I'' → R admits ω as a modulus of continuity if and only if :, f(x)-f ...

, 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: :1) \chi ...

Modulus (algebraic number theory) In mathematics, in the field of algebraic number theory, a modulus (plural moduli) (or cycle, or extended ideal) is a formal product of places of a global field (i.e. an algebraic number field or a global function field). It is used to encode r ...

, 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 Modulus Graphite (formerly, ''Modulus Guitars'') is an American manufacturer of musical instruments best known for building bass guitars with carbon fiber necks. The company, originally called Modulus Graphite, was founded in part by Geoff Gould, ...

, musical instrument manufacturer *

Modulus robot The household robot Modulus, described by the manufacturer as "the friend of ''Homo sapiens''", was made by Sirius, a company Massimo Giuliana set up in 1982 for marketing home and personal computers, and which decided to start building its own d ...

, a household robot

Physics, engineering and computing

Mathematics

Other uses

See also