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Encyclopedia results for Finite

  1. Finite
    Finite
    wiktionary Finite is the opposite of infinite. It may refer to Having a finite number of elements finite set Being a finite number, so not equal to math pm infty math all real number s are finite In a stronger ..
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  2. Locally finite
    Finite
    The term locally finite has a number of different meanings in mathematics Locally finite collection of sets in a topological space Locally finite group Locally finite measure Locally finite poset disambig ..
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  3. Finite thickness
    Finite
    In formal language formal language theory , a class of languages math mathcal L math has finite thickness if for every string s , there are only finite consistent languages in math mathcal L math . This condition ..
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  4. K-finite
    Finite
    In mathematics , a K finite function is a type of generalized trigonometric polynomial . Here K is some ... in a finite dimensional subspace. One implication here is trivial, and the other, starting from a finite ..
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  5. Finite verb
    Finite
    A finite verb is a verb that is Inflection inflected for grammatical person person and for grammatical tense tense according to the rules and categories of the languages in which it occurs. Finite verbs ..
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  6. Finite topology
    Finite
    It is possible for a topology to be finite in the sense that there are only finitely many open sets. This is an extreme case which has been investigated from a combinatorial point of view. The term finite ..
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  7. Finite morphism
    Finite
    scheme s is a finite morphism , if math Y math has an open cover by affine schemes math V i Spec ... A i, math makes math A i math a finitely generated module over math B i math . Morphisms of finite ..
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  8. Finite set
    Finite
    In mathematics , a Set mathematics set is called finite if there is a bijection between the set and some ... that is, the empty set is finite. An infinite set is a set which is not finite. Equivalently, a set ..
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  9. Finite group
    Finite
    In mathematics , a finite group is a group mathematics group which has finite set finite ly many elements. Some aspects of the theory of finite groups were investigated in great depth in the twentieth ..
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  10. Finite geometry
    Finite
    A finite geometry is any geometry geometric system that has only a finite set finite number of point geometry points . Euclidean geometry , for example, is not finite, because a Euclidean line contains ..
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  11. Finite mathematics
    Finite
    The term finite mathematics refers either to discrete mathematics , or to a course conventionally required of business students, in which the curriculum brings together several mathematical topics, including ..
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  12. Finite difference
    Finite
    A finite difference is a mathematical expression of the form f x b &minus f x a . If a finite difference is divided by b &minus a , one gets a difference quotient . The approximation of derivatives by finite ..
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  13. Finite field
    Finite
    In abstract algebra , a finite field or Galois field so named in honor of Évariste Galois is a field mathematics field that contains only finitely many elements. Finite fields are important in number theory ..
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  14. Non-finite clause
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    In linguistics , a non finite clause is a subordinate clause whose verb is non finite verb non finite for example, many languages can form non finite clauses from infinitive s. Like any subordinate clause ..
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  15. Locally finite group
    Finite
    In mathematics , in the field of group theory , a locally finite group is a type of group mathematics group that can be studied in ways analogous to a finite group . Sylow subgroup s, Carter subgroup s, and abelian ..
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  16. Locally finite poset
    Finite
    A locally finite poset math P math is a poset such that for all math x,y in P math , the poset Interval interval math x,y math consists of finite finitely many elements. stub ..
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  17. Residually finite group
    Finite
    In the mathematics mathematical field of group theory , a Group mathematics group G is residually finite ... h from G to a finite group, such that math h g neq 1. , math There are a number of equivalent ..
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  18. Hereditarily finite set
    Finite
    In mathematics , hereditarily finite sets are defined recursion recursively as finite set s containing only hereditarily finite sets with the empty set as a base case . Informally, a hereditarily finite ..
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  19. Approximately finite-dimensional
    Finite
    In operator algebra s, an algebra is said to be approximately finite dimensional if it contains an increasing sequence of finite dimensional subalgebras that is dense. One can consider Approximately finite ..
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  20. Set system of finite character
    Finite
    A family math mathcal F math of Set mathematics sets is of finite character provided it has the following properties For each math A in mathcal F math , every finite set finite subset of math A math belongs ..
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  21. Patch test (finite elements)
    Finite
    The patch test in the finite element method is a simple indicator of the quality of a finite element ... test if the finite element solution is the same as the exact solution. It was long conjectured by engineers ..
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  22. Point finite collection
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    space math X math is said to be point finite or a point finite collection if every point of math ... of being locally finite collection locally finite . Point finiteness is used in the definition ..
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  23. Locally finite collection
    Finite
    dimension . A collection of subsets of a topological space X is said to be locally finite , if each ... of the sets in the collection. A topological space, X, is said to be locally finite if every collection ..
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  24. Locally finite measure
    Finite
    In mathematics , a locally finite measure is a Measure mathematics measure for which every point of the measure space has a Neighbourhood mathematics neighbourhood of finite measure. Definition Let X , T be a Hausdorff ..
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  25. Finite model theory
    Finite
    Finite model theory is a subfield of model theory that focuses on properties of logical languages, such as first order logic , over finite structures, such as finite group s, graph mathematics graph s, database ..
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    Finite

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