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Injective function

In mathematics, an injective function (also known as injection, or one-to-one function) is a function f that maps distinct elements of its domain to distinct elements of its codomain; that is, x1 ≠ x2 implies f(x1) ≠ f(x2) (equivalently by contraposition, f(x1) = f(x2) implies x1 = x2). In other words, every element of the function's codomain is the…

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Definition

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Injections can be undone

Injections may be made invertible

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Injective function

Nodes49
Edges48
Triples43
Avg. degree1.96
Density0.040816
Components1

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Injective function

Top relations

related to External links · 11
Injective function → Bijection, Earliest Uses, Injection, Injective, Introduction, Khan Academy, Mathematics, Some, Surjection, Surjective, Words
related to Gallery · 11
Injective function → An, Cartesian, Diagramatic, Every, Here, Injective, Making, Not, Notice, That, The
related to Other properties · 11
Injective function → An, Bernstein, Cantor, Every, If, In, Schroeder, Set, This, Thus, Unlike
related to Definition · 6
Injective function → An, Equivalently, Let, Rightarrow, Symbolically, The
related to Injections may be made invertible · 4
Injective function → In, Indeed, More, That

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Important terminology

displaystyle injective function domain functions one element homomorphism codomain image defined injection monomorphism set mathbb every bijective called algebraic structures

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SubjectPredicateObjectConfidenceSrc
Injective functionrelated to DefinitionLet0.60section
Injective functionrelated to DefinitionThe0.60section
Injective functionrelated to DefinitionEquivalently0.60section
Injective functionrelated to DefinitionSymbolically0.60section
Injective functionrelated to DefinitionRightarrow0.60section
Injective functionrelated to DefinitionAn0.60section
Injective functionrelated to External linksEarliest Uses0.60section
Injective functionrelated to External linksSome0.60section
Injective functionrelated to External linksWords0.60section
Injective functionrelated to External linksMathematics0.60section
Injective functionrelated to External linksInjection0.60section
Injective functionrelated to External linksSurjection0.60section

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