surjective function oor Spaans
surjective function
en
a mathematical function that is an onto mapping.
Vertalings in die woordeboek Engels - Spaans
función sobreyectiva
en
binary relation, which is left-total, right-total, and right-unique
Geskatte vertalings
Vertoon algoritmies gegenereerde vertalings
voorbeelde
Advanced filtering
Voorbeelde moet herlaai word.
A surjective function is a surjection.
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The following theorem gives equivalent formulations in terms of a bijective function or a surjective function.
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Alternative (equivalent) formulations of the definition in terms of a bijective function or a surjective function can also be given.
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Bijective function Horizontal line test Injective module Injective function Permutation Surjective function Earliest Uses of Some of the Words of Mathematics: entry on Injection, Surjection and Bijection has the history of Injection and related terms.
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An injective function need not be surjective (not all elements of the codomain may be associated with arguments), and a surjective function need not be injective (some images may be associated with more than one argument).
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A quotient space is defined as follows: if X is a topological space and Y is a set, and if f : X→ Y is a surjective function, then the quotient topology on Y is the collection of subsets of Y that have open inverse images under f.
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A function is surjective (onto) if each possible image is mapped to by at least one argument.
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Equivalently, a function is surjective if its image is equal to its codomain.
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Since every function is surjective when its codomain is restricted to its image, every injection induces a bijection onto its image.
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(That is, the function is both injective and surjective.)
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For this function, the codomain and the image are the same (the function is a surjection), so the word range is unambiguous; it is the set of all real numbers.
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(For example, if B is an infinite but Dedekind-finite set, and A is the set of finite one-to-one sequences from B, then "drop the last element" is a surjective but not injective function from A to A, yet A is Dedekind finite.)
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Every Dedekind-infinite set A also satisfies the following condition: There is a function f : A → A that is surjective but not injective.
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There is a function f : A → A that is injective but not surjective.
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Injective and surjective functions[edit]
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Surjective function - Wikipedia, the free encyclopedia
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Domain of a function Surjective function
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Injective and surjective functions[edit]
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In mathematics, injections, surjections and bijections are classes of functions distinguished by the manner in which arguments (input expressions from the domain) and images (output expressions from the codomain) are related or mapped to each other.
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It is conventional to regard πr,r as the identity map on J r(π) and to identify J 0(π) with E. The functions πr,k, πr,0 and πr are smooth surjective submersions.
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(b) For which does there exist a surjective -nice function? 5
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5 Injective, surjective and bijective functions
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The rational numbers Q are countable because the function g : Z × N → Q given by g(m, n) = m/(n + 1) is a surjection from the countable set Z × N to the rationals Q. Proposition: The algebraic numbers A are countable.
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So the function is a surjection.
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In functional analysis, the open mapping theorem states that every surjective continuous linear operator between Banach spaces is an open map.
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27 sinne gevind in 14 ms. Hulle kom uit baie bronne en word nie nagegaan nie.