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), 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, a measure of stiffness * Shear modulus, 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) In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book ...

, 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 * 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

Physics, engineering and computing

Mathematics

Other uses

See also