# Galilean coordinate system

From Encyclopedia of Mathematics

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: http://encyclopediaofmath.org/index.php?title=Galilean_coordinate_system&oldid=31906

This article was adapted from an original article by D.D. Sokolov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article