Galilean coordinate system

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A system of coordinates in a pseudo-Euclidean space in which the line element has the form:

$$ds^2=\sum e_idx_i^2,$$

where $e_i=\pm1$. The Galilean coordinate system is analogous to the Cartesian coordinate system in a Euclidean space. The name originates from the applications of the Galilean reference system (cf. Inertial system).

How to Cite This Entry:
Galilean coordinate system. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by D.D. Sokolov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article