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Finite (other)
{{disambiguation ...
Finite is the opposite of infinite. It 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) * * Nonfinite (other) Nonfinite is the opposite of finite * a nonfinite verb is a verb that is not capable of serving as the main verb in an independent clause * a non-finite clause In linguistics, a non-finite clause is a dependent or embedded clause that represen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Infinity
Infinity is that which is boundless, endless, or larger than any natural number. It is often denoted by the infinity symbol . Since the time of the ancient Greeks, the philosophical nature of infinity was the subject of many discussions among philosophers. In the 17th century, with the introduction of the infinity symbol and the infinitesimal calculus, mathematicians began to work with infinite series and what some mathematicians (including l'Hôpital and Bernoulli) regarded as infinitely small quantities, but infinity continued to be associated with endless processes. As mathematicians struggled with the foundation of calculus, it remained unclear whether infinity could be considered as a number or magnitude and, if so, how this could be done. At the end of the 19th century, Georg Cantor enlarged the mathematical study of infinity by studying infinite sets and infinite numbers, showing that they can be of various sizes. For example, if a line is viewed as the set of all o ... [...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 is called finite if there exists a bijection :f\colon S\to\ for some natural number . The number is the set's cardinality, denoted as . The empty set o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Finite Verb
Traditionally, a finite verb (from la, fīnītus, past participle of to put an end to, bound, limit) is the form "to which number and person appertain", in other words, those inflected for number and person. Verbs were originally said to be ''finite'' if their form limited the possible person and number of the subject. A more recent concept treats a finite verb as any verb that heads a simple declarative sentence. Under that newer articulation, finite verbs often constitute the locus of grammatical information regarding gender, person, number, tense, aspect, mood, and voice. Finite verbs are distinguished from non-finite verbs, such as infinitives, participles, gerunds etc., which generally mark these grammatical categories to a lesser degree or not at all, and which appear below the finite verb in the hierarchy of syntactic structure. Examples The finite verbs are in bold in the following sentences, and the non-finite verbs are underlined: : Verbs appear in almost all sentenc ... [...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 songstress. 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 effortless del ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Finite Number (other)
Finite number may refer to: * A countable number less than infinity, being the cardinality of a finite set – i.e., some natural number, possibly 0 * A real number In mathematics, a real number is a number that can be used to measure a ''continuous'' one-dimensional quantity such as a distance, duration or temperature. Here, ''continuous'' means that values can have arbitrarily small variations. Every real ..., 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 also * Finite (other) {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Finite Part (other)
Finite part may refer to: *Cauchy principal value In mathematics, the Cauchy principal value, named after Augustin Louis Cauchy, is a method for assigning values to certain improper integrals which would otherwise be undefined. Formulation Depending on the type of singularity in the integrand , ... * Hadamard finite part {{mathdab ... [...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, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ... 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 * finitely presented algebra * finitely presented scheme This is a glossary of algebraic geometry. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory. For the number-theoretic applications, see glossary of arithmetic and Diophantine geometry. ..., a global version of a finitely presented algebra 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 generator **Morphism of finite type, a morphism of schemes with underlying morphisms on affine opens given by algebras of finite type **Scheme of finite type, 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 on knots with finitely many singularities *Subshift of finite type In mathematics, subshifts of finite type are used to model dynamical systems, and in particular are the objects of study in symbolic dynamics and ergodic theory. They also describe the set of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
