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:

    With sturdy shoulders, space stands opposing all its weight to nothingness. Where space is, there is being.
    Friedrich Nietzsche (1844–1900)