injective function

  • 51Restriction (mathematics) — In mathematics, the notion of restriction finds a general definition in the context of sheaves.Often, the following definition will be sufficient:If f: E > F is a (partial) function from E to F , and A is a subset of E , then the restriction of f …

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  • 52Inequation — In mathematics, an inequation is a statement that two objects or expressions are not the same, or do not represent the same value.[1] This relation is written with a crossed out equal sign ( ≠ ) as in Verbally it may be spoken as does not equal,… …

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  • 53injectivity — noun a) The property of being injective. b) An injective function …

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  • 54Robinson arithmetic — In mathematics, Robinson arithmetic, or Q, is a finitely axiomatized fragment of Peano arithmetic (PA), first set out in Robinson (1950). Q is essentially PA without the axiom schema of induction. Even though Q is much weaker than PA, it is still …

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  • 55Factorization system — In mathematics, it can be shown that every function can be written as the composite of a surjective function followed by an injective function. Factorization systems are a generalization of this situation in category theory.DefinitionA… …

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  • 56One-to-one — or one to one may refer to: One to one function or injective function One to one correspondence or bijective function One to one (communication), the act of an individual communicating with another One to one computing, an initiative for a… …

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  • 57Surface — This article discusses surfaces from the point of view of topology. For other uses, see Differential geometry of surfaces, algebraic surface, and Surface (disambiguation). An open surface with X , Y , and Z contours shown. In mathematics,… …

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  • 58Total order — In set theory, a total order, linear order, simple order, or (non strict) ordering is a binary relation (here denoted by infix ≤) on some set X. The relation is transitive, antisymmetric, and total. A set paired with a total order is called a… …

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  • 59Injection — may refer to:* Injection (medicine), a method of putting liquid into the body with a syringe and a hollow needle that punctures the skin. * Injective function in mathematics, a function which associates distinct arguments to distinct values *… …

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  • 60One-to-one (disambiguation) — One to one or one to one is an adjective which can qualify: *in mathematics, an injective function (one to one) or a bijective function (one to one correspondence) *in telecommunications, one to one (communication) *in computer science, one to… …

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