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Name: philip a rust
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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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