mathematical definition of injective function
What is the definition of injective function in mathematics?
An injective function (injection) or one-to-one function is a function that maps distinct elements of its domain to distinct elements of its codomain.
In brief, let us consider 'f' is a function whose domain is set A.
The function is said to be injective if for all x and y in A, Whenever f(x)=f(y), then x=y.
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We begin this discussion of functions with the basic definitions needed to the same image in Y . If we draw out a mapping for an injective function ... |
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we use a definition for infinite sets based on what was a theorem in the (3 ? 1) Suppose there exists an injective function g : X ? N. We wish to show ... |
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