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One-to-One Correspondence |
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one-to-one correspondence [¦wən tə ¦wən ‚kär·ə′spän·dəns]
(mathematics) A pairing between two classes of elements whereby each element of either class is made to correspond to one and only one element of the other class. One-to-One Correspondence in mathematics, the correspondence between elements of two sets such that each element of the first set corresponds to a specific element of the second set and each element of the second set corresponds to a specific element of the first set. A one-to-one correspondence is a particular form of a function or mapping, in which the given function and its inverse are single-valued. If a one-to-one correspondence can be established between two sets, then these sets are equivalent. For example, the sets of integers and their squares are equivalent since the correspondence n → n2 is a one-to-one correspondence. Want to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit the webmaster's page for free fun content. |
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