Intermediate Real Analysis pp 42-91 | Cite as

# Functions

Chapter

## Abstract

If {*a*,*b*} and {*c*,*d*} are given sets, then {*a*,*b*} = {*c*,*d*} implies *a* = *c* or *a* = *d* and *b* = *c* or *b* = *d*. This was why we referred to {*a*,*b*} (cf. Section I.1) as the unordered pair consisting of *a* and *b*. By the *ordered pair** (*a*,*b*) of elements *a* and *b*, we mean the set {*a*,*b*} together with the ordering of its members in which *a* is first and *b* second. We call *a* the *first component* or *coordinate* of (*a*, *b*) and *b* its *second*.

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## Copyright information

© Springer-Verlag New York, Inc. 1983