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Finite Reflection Groups
Finite may refer to: * Finite set, a set whose cardinality (number of elements) is some natural number * Finite verb, a verb form that has a subject, usually being inflected or marked for person and/or tense or aspect * "Finite", a song by Sara Groves from the album ''Invisible Empires'' See also * Finite number (other) * Finite part (other) * Finite map (other) * Finite presentation (other) * Finite type (other) Finite type refers to several related concepts in mathematics: * Algebra of finite type, an associative algebra with finitely many generators **Morphism of finite type, a morphism of schemes with underlying morphisms on affine opens given by algebr ... * * Nonfinite (other) {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Finite Set
In 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 count and finish counting. For example, is a finite set with five elements. The number of elements of a finite set is a natural number (possibly zero) and is called the ''cardinality (or the cardinal number)'' of the set. A set that is not a finite set is called an '' infinite set''. For example, the set of all positive integers is infinite: Finite sets are particularly important in combinatorics, the mathematical study of counting. Many arguments involving finite sets rely on the pigeonhole principle, which states that there cannot exist an injective function from a larger finite set to a smaller finite set. Definition and terminology Formally, a set S is called finite if there exists a bijection for some natural number n (natural numbers are defined as sets in Zermelo-Fraenkel set theory). The number n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Finite Verb
A finite verb is a verb that contextually complements a subject, which can be either explicit (like in the English indicative) or implicit (like in null subject languages or the English imperative). A finite transitive verb or a finite intransitive verb can function as the root of an independent clause. Finite verbs are distinguished from non-finite verbs such as infinitives, participles, gerunds etc. History The term ''finite'' is derived from (past participle of "to put an end to, bound, limit") as the form "to which number and person appertain". Verbs were originally said to be ''finite'' if their form limited the possible person and number of the subject. More recently, finite verbs have been construed as any verb that independently functions as a predicate verb or one that marks a verb phrase in a predicate. Under the first of those constructions, finite verbs often denote grammatical characteristics such as gender, person, number, tense, aspect, mood, modali ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Invisible Empires
''Invisible Empires'' is the seventh studio album and tenth album overall from Christian singer and songwriter Sara Groves, and it released on October 18, 2011, by Fair Trade and Columbia Records. The producers on the album were Steve Hindalong and Stephen Leiweke. This release became critically acclaimed and commercially successful. Background The album released on October 18, 2011, by Fair Trade and Columbia Records, and it was produced by Steve Hindalong and Stephen Leiweke. This was the seventh studio album and tenth overall from the singer. Critical reception ''Invisible Empires'' garnered critical acclaim from music critics. At '' CCM Magazine'', Andrew Greer rated the album four stars, calling this "another graceful chapter in Groves' remarkable discography." James Christopher Monger of Allmusic rated the album four stars, noting "Groves' penchant for capturing the cathartic weight of intimate moments is on full display here, and her winning melodies and effortle ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Finite Number (other)
Finite number may refer to: * Natural number, a countable number less than infinity, being the cardinality of a finite set * Real number In mathematics, a real number is a number that can be used to measure a continuous one- dimensional quantity such as a duration or temperature. Here, ''continuous'' means that pairs of values can have arbitrarily small differences. Every re ..., such as may result from a measurement (of time, length, area, etc.) * In mathematical parlance, a value other than infinite or infinitesimal values and distinct from the value 0, see List of mathematical jargon#finite See also * Finite (other) {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Finite Map (other)
A finite map can be one of the following: * In computer science, finite map is a synonym for an associative array. * A finite map in algebraic geometry Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometry, geometrical problems. Classically, it studies zero of a function, zeros of multivariate polynomials; th ... is a regular map such that the preimage of any point is a finite set, plus a closedness property. {{disambig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Finite Presentation (other)
In mathematics, finitely presented may refer to: * finitely presented group * finitely presented monoid * finitely presented module In mathematics, a finitely generated module is a module (mathematics), module that has a Finite set, finite Generating set of a module, generating set. A finitely generated module over a Ring (mathematics), ring ''R'' may also be called a finite '' ... * finitely presented algebra * finitely presented scheme, a global version of a finitely presented algebra * finitely presentable object, in category theory See also finitely generated (other). {{mathdab ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Finite Type (other)
Finite type refers to several related concepts in mathematics: * Algebra of finite type, an associative algebra with finitely many generators **Morphism of finite type, a morphism of schemes with underlying morphisms on affine opens given by algebras of finite type **Scheme of finite type In commutative algebra, given a homomorphism A\to B of commutative rings, B is called an A-algebra of finite type if B can be finitely generated as an A-algebra. It is much stronger for B to be a finite A-algebra, which means that B is finitely ge ..., a scheme over a field with a structure morphism of finite type * Coxeter group of finite type, a Coxeter group whose Schläfli matrix has only positive eigenvalues ** Coxeter matrix of finite type, a Coxeter matrix whose associated Schläfli matrix has only positive eigenvalues ** Artin group of finite type, an Artin group arising as the finite Coxeter group of a Coxeter matrix of finite type * Finite type invariant, a knot invariant that vanishes o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |