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...

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"...

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

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

{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...

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

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...

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 /...

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...

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...

positive and negative forms of cultural transmission, and is evidently an integral element of educatory practice. The precise boundary between education and indoctrination...

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

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...

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...

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...

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...

Mathematics portal Divergence theorem Surface integral Volume element Line element Line integral "Multiple integral", Encyclopedia of Mathematics, EMS Press...

change of a quantity in an integral Euclid's Elements, a mathematical treatise on geometry and number theory An entry, or element, of a matrix Classical elements...

{\displaystyle A} be a ring and B the ring obtained by adjoining an integral element to A; i.e., B = A [ t ] / ( F ) {\displaystyle B=A[t]/(F)} for some...

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...

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

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

made from tea mixed with condensed milk, and condensed milk is an integral element in Hong Kong tea culture. In the Canary Islands, it is served as the...

{\displaystyle R} -orders is that every element of an R {\displaystyle R} -order is integral over R {\displaystyle R} . If the integral closure S {\displaystyle S}...

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

during their late-1970s heyday. Ford's lead-guitar playing became an integral element of the band's sound until their eventual break-up in April 1979. In...

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

Shaolin practice martial arts, but martial practice had become such an integral element of Shaolin monastic life that the monks felt the need to justify it...