Finiteness Condition
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Finiteness Condition
Finite is the opposite of infinite. It may refer to: * Finite number (other) * 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 ''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 an ...'' See also * * Nonfinite (other) {{disambiguation fr:Fini it:Finito ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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Nonfinite (other)
Nonfinite is the opposite of finite * a nonfinite verb A nonfinite verb is a derivative form of a verb unlike finite verbs. Accordingly, nonfinite verb forms are inflected for neither number nor person, and they cannot perform action as the root of an independent clause. In English, nonfinite verbs inc ... is a verb that is not capable of serving as the main verb in an independent clause * a non-finite clause is a clause whose main verb is non-finite See also * Infinite (other) {{disambiguation ...
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Fini
Fini can refer to: *Gianfranco Fini, Italian politician * Michele Fini, Italian footballer * Leonor Fini, Argentine artist * 795 Fini, a minor planet * Tapu Fini, a Gen VII Water/Fairy-type ''Pokémon'' species introduced in Pokémon Sun and Moon and are 2016 role-playing video games developed by Game Freak and published by The Pokémon Company and Nintendo for the Nintendo 3DS. They are the first installments in the seventh generation of the ''Pokémon'' video game series. First .... {{surname ...
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