Bijection: Function (mathematics), Set (mathematics), Surjective function, Injective function, Integer, Permutation, Isomorphism, Homography, Permutation group
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.In mathematics, a bijection, or a bijective function is a function f from a set X to a set Y with the property that, for every y in Y, there is exactly one x in X such that f(x) = y and no unmapped element exists in either X or Y.Alternatively, f is bijective if it is a one-to-one c ...Full description
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.In mathematics, a bijection, or a bijective function is a function f from a set X to a set Y with the property that, for every y in Y, there is exactly one x in X such that f(x) = y and no unmapped element exists in either X or Y.Alternatively, f is bijective if it is a one-to-one correspondence between those sets, both one-to-one (injective) and onto (surjective). (One-to-one function means one-to-one correspondence (i.e., bijection) to some authors, but injection to others.)For example, consider the function succ, defined from the set of integers Z to Z, that to each integer x associates the integer succ(x) = x + 1. For another example, consider the function sumdif that to each pair (x,y) of real numbers associates the pair sumdif(x,y) = (x + y, x ¿ y).