Cartesian Coordinate System - Cartesian Space

Cartesian Space

A Euclidean plane with a chosen Cartesian system is called a Cartesian plane. Since Cartesian coordinates are unique and non-ambiguous, the points of a Cartesian plane can be identified with all possible pairs of real numbers; that is with the Cartesian product, where is the set of all reals. In the same way one defines a Cartesian space of any dimension n, whose points can be identified with the tuples (lists) of n real numbers, that is, with .

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Famous quotes containing the word space:

    At first thy little being came:
    If nothing once, you nothing lose,
    For when you die you are the same;
    The space between, is but an hour,
    The frail duration of a flower.
    Philip Freneau (1752–1832)