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What (who) is K-finite - definition
K-finite
In mathematics, a K-finite function is a type of generalized trigonometric polynomial. Here K is some compact group, and the generalization is from the circle group T.
Finite morphism
In algebraic geometry, a finite morphism between two affine varieties X, Y is a dense regular map which induces isomorphic inclusion k\left[Y\right]\hookrightarrow k\left[X\right] between their coordinate rings, such that k\left[X\right] is integral over k\left[Y\right]. This definition can be extended to the quasi-projective varieties, such that a regular map f\colon X\to Y between quasiprojective varieties is finite if any point like y\in Y has an affine neighbourhood V such that U=f^{-1}(V) is affine and f\colon U\to V is a finite map (in view of the previous definition, because it is between affine varieties).
Finite element method
![(b) The [[sparse matrix]] ''L'' of the discretized linear system](https://commons.wikimedia.org/wiki/Special:FilePath/Finite element sparse matrix.png?width=200 "(b) The [[sparse matrix]] ''L'' of the discretized linear system")
NUMERICAL METHOD FOR SOLVING PHYSICAL OR ENGINEERING PROBLEMS
Finite element analysis; Finite Element Analysis; Finite elements; Finite element; Finite Element Method; Engineering treatment of the finite element method; Finite element solver; Finite element meshing; Finite element problem; Engineering treatment of the Finite Element Method; Finite element methods; Finite difference method based on variation principle; Finite elements analysis; Finite-element method; Finite-element analysis; Finite-element methods; Nonlinear finite element analysis
The finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential.
