# 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.

References in periodicals archive ?
This presents a strong case for the use of Zhuyin, which has more unique symbols than both English alphabets and Pinyin, but its symbols are highly consistent in maintaining one-to-one correspondence between the graphs and sounds they represent.
Thrity Umrigar's The Weight of Heaven is also beautifully translated into [phrase omitted] [weight of heaven] by recognizing and rendering the accurate one-to-one correspondence of the title's constituents.
But before we look in detail at any palindromic plates, let me introduce you to a new form of graphing that many children have found to be quite exciting, and that first requires an understanding of one-to-one correspondence.
Finally, the map f is a one-to-one correspondence between [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII](132) and the set of Motzkin paths of length (n - 1).
However, there is a one-to-one correspondence between corresponding direct parameters (inductances and capacitances) and a load value.
Children may have difficulties in making one-to-one correspondence between their gestural actions and verbal count.
This game helps students meet the Common Core math standard on one-to-one correspondence counting and number identification.
The simplicity of the one-to-one correspondence between the Federal Reserve's balance sheet and excess reserves hides the difficulty involved in predicting how banks are likely to behave in the presence of the expanded reserves.
Kauffman [9] has established that "Universes of knots (links) are in one-to-one correspondence with planar graphs".
Help children learn one-to-one correspondence by pointing to or putting your hand on each item.
There is no easy one-to-one correspondence between the artist's source of inspiration and the work itself.
The point is that S&E degree production in a state is related to the future science and engineering talent in the workforce, though by no means is there a one-to-one correspondence.

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