In commutative algebra, an element b of a commutative ring B is said to be integral over a subring A of B if b is a root of some monic polynomial over...

calculus, a surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analogue of the...

{\mathfrak {g}}} . Notably, we will explain the notion of a "dominant integral element." The representations themselves are described in the article linked...

In an integral domain, every nonzero element a has the cancellation property, that is, if a ≠ 0, an equality ab = ac implies b = c. "Integral domain"...

called an analytically integral element. This integrality condition is related to, but not identical to, the notion of integral element in the setting of semisimple...

a number Integral symbol Integral (measure theory), or Lebesgue integration Integral element in computer science Integral data type, a data type that...

boundary element method (BEM) is a numerical computational method of solving linear partial differential equations which have been formulated as integral equations...

the spiritual nature the sun and change. The line is regarded as an integral element within the Kôngo cosmogram. The word Kalûnga is a Kikongo word that...

the two results is in the precise notion of "integral" in the definition of a dominant integral element. If K {\displaystyle K} is simply connected, this...

over K has coefficients in A. In particular, this means that any element of L integral over A is root of a monic polynomial in A[X] that is irreducible...

{O}}_{K}} . Since any integer belongs to K {\displaystyle K} and is an integral element of K {\displaystyle K} , the ring Z {\displaystyle \mathbb {Z} } is...

In algebra, an irreducible element of an integral domain is a non-zero element that is not invertible (that is, is not a unit), and is not the product...

In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process...

the series "groundbreaking" and mentioning the sound design as an integral element of its success. "Cast named for Warp, BBC's Reunion drama". Televisual...

this setting it is useful for doing surface integrals. Under changes of coordinates, the volume element changes by the absolute value of the Jacobian...

integers are a special case of integral elements of a ring extension. In particular, an algebraic integer is an integral element of a finite extension K /...

forms of cultural transmission, and some academics consider it an integral element of education. The precise boundary between education and indoctrination...

an unleavened flatbread that is part of Jewish cuisine and forms an integral element of the Passover festival, during which chametz (leaven and five grains...

bridge between these two generations. Ginsberg's work also became an integral element of early 1960s hippie culture, in which he actively participated. The...

corresponding density function. Often the volume integral is represented in terms of a differential volume element d V = d x d y d z {\displaystyle dV=dx\,dy\...

(s)=q^{d}\chi (g).} Because the homothety λIn is the homomorphic image of an integral element, this proves that the complex number λ = qdχ(g)/n is an algebraic integer...

finitely generated algebra is integral (over the coefficient ring), then it is finitely generated module. (See integral element for more.) Let 0 → M′ → M...

mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve. The terms path integral, curve integral, and curvilinear...

mathematics, an identity element or neutral element of a binary operation is an element that leaves unchanged every element when the operation is applied...

Equivalently, an element p is prime if, and only if, the principal ideal (p) generated by p is a nonzero prime ideal. (Note that in an integral domain, the...

landslides, or the impact of large meteorites. The seas have been an integral element for humans throughout history and culture. Humans harnessing and studying...

Finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical...

Shaolin practiced martial arts, and that martial practice became an integral element of Shaolin monastic life. The earliest appearance of the frequently...

Integral theory as developed by Ken Wilber is a synthetic metatheory aiming to unify a broad spectrum of Western theories and models and Eastern meditative...

Kirsten. During the last 10 seconds, her birdcage, which was the most integral element, collapsed, forcing her to serve her chocolate and passionfruit entremet...