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...

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...

{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...