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

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...

integer k {\displaystyle k} there are fields of order p k {\displaystyle p^{k}} . All finite fields of a given order are isomorphic. Finite fields are...

A finite difference is a mathematical expression of the form f(x + b) − f(x + a). Finite differences (or the associated difference quotients) are often...

In abstract algebra, a finite group is a group whose underlying set is finite. Finite groups often arise when considering symmetry of mathematical or physical...

mathematics, particularly set theory, a finite set is a set that has a finite number of elements. Informally, a finite set is a set which one could in principle...

whose approximately unital modules are the same as K-finite representations of the pairs (g, K). The Hecke algebra of a pair is a generalization of...

analysis, finite-difference methods (FDM) are a class of numerical techniques for solving differential equations by approximating derivatives with finite differences...

deterministic finite automaton (DFA)—also known as deterministic finite acceptor (DFA), deterministic finite-state machine (DFSM), or deterministic finite-state...

A finite-state machine (FSM) or finite-state automaton (FSA, plural: automata), finite automaton, or simply a state machine, is a mathematical model of...

abelian group ( G , + ) {\displaystyle (G,+)} is called finitely generated if there exist finitely many elements x 1 , … , x s {\displaystyle x_{1},\dots...

{\begin{aligned}|K(s)_{|K(j)|=1}|&={\begin{cases}K_{finite}(s)&{\text{if }}n{\text{ is even}}\\sK_{finite}(s)&{\text{if }}n{\text{ is odd}}\\\end{cases}}\\&\\K{finite}(s)&={\frac...

A finite geometry is any geometric system that has only a finite number of points. The familiar Euclidean geometry is not finite, because a Euclidean line...

the Cartesian product of k finite sets of sizes n, n − 1, ..., n − k + 1, while its denominator counts the permutations of a k-element set (the set most...

k {\displaystyle k} , affine n {\displaystyle n} -space and projective n {\displaystyle n} -space over k {\displaystyle k} are of finite type over k {\displaystyle...

former may be written as a direct sum of finitely many groups of the form Z / p k Z {\displaystyle \mathbb {Z} /p^{k}\mathbb {Z} } for p {\displaystyle p}...

languages: If L is regular then L / K is regular for any K. the reverse (or mirror image) LR. Given a nondeterministic finite automaton to recognize L, an automaton...

R-module, finite over R, or a module of finite type. Related concepts include finitely cogenerated modules, finitely presented modules, finitely related...

uniquely defined. We say V {\displaystyle V} is finite-dimensional if the dimension of V {\displaystyle V} is finite, and infinite-dimensional if its dimension...

In mathematics education, Finite Mathematics is a syllabus in college and university mathematics that is independent of calculus. A course in precalculus...

mathematics, a finitely generated algebra (also called an algebra of finite type) is a commutative associative algebra A {\displaystyle A} over a field K {\displaystyle...

that a finite extension of fields L / K {\displaystyle L/K} is simple if and only if there are only finitely many intermediate fields between K {\displaystyle...

A finite-state transducer (FST) is a finite-state machine with two memory tapes, following the terminology for Turing machines: an input tape and an output...

{\displaystyle X} is said to be locally finite if each point in the space has a neighbourhood that intersects only finitely many of the sets in the collection...

a finite morphism of affine varieties if ϕ ∗ : Γ ( W ) → Γ ( V ) {\displaystyle \phi ^{*}\colon \Gamma (W)\to \Gamma (V)} is a finite morphism of k {\displaystyle...

measure on the real numbers is not finite, but it is σ-finite. Indeed, consider the intervals [k, k + 1) for all integers k; there are countably many such...

parsers are functionally closer to PEG parsers. An LL(finite) parser can parse an arbitrary LL(k) grammar optimally in the amount of lookahead and lookahead...

hereditarily finite sets are defined as finite sets whose elements are all hereditarily finite sets. In other words, the set itself is finite, and all of...

can be finite or infinite. The term finite mathematics is sometimes applied to parts of the field of discrete mathematics that deals with finite sets,...

equal to the length of M. Any finite dimensional vector space V {\displaystyle V} over a field k {\displaystyle k} has a finite length. Given a basis v 1...