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"...

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

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 /...

{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...

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...

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...

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 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...

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

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...

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...

Using the structure on the Lie algebra, the notions dominant element and integral element are defined. Every finite-dimensional representation must have...

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...

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

the constituents of a set Differential element, an infinitesimally small change of a quantity in an integral Euclid's Elements, a mathematical treatise...

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...

doors cannot traditionally be locked. Shoji rose in popularity as an integral element of the shoin-zukuri style, which developed in the Kamakura Period (1123–1333)...

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

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...

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...

finite element method is commonly introduced as a special case of Galerkin method. The process, in mathematical language, is to construct an integral of the...

significance. Dogs were their only domesticated animal, but were and are an integral element in their culture for the Athabascan population in North America. Athabascans...

described in Howard Mohr’s book How to Talk Minnesotan. Hotdish is an integral element of the book Hotdish to Die For, a collection of six culinary mystery...

parallel twin engine, the biggest then available in a Honda, was an integral element of the bike's structure, providing stiffness in a frame that had no...

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...

mathematics, integral equations are equations in which an unknown function appears under an integral sign. In mathematical notation, integral equations may...