Ordered pairs versus coordinates
Name: philip a rust
What is the difference between an ordered pair and a coordinate?
Given two sets, if you take an element from each and put them together
in a pair of paretheses, you have an ordered pair. The set of all
ordered pairs made in that way from sets A and B is called 'the
Cartesian product of A and B' or AxB.
Coordinates, on the other hand, are somethings that occur in a coordinate
system. There's a lot of things to be said about coordinate systems, but
basically it's about the discovery that all points in a plane can be
described uniquely by means of ordered pairs of real numbers. In this
context a coordinate is one of the real numbers in such an ordered pair.
jan p anderson
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Update: June 2012