Difference between revisions of "Galilean coordinate system"
From Encyclopedia of Mathematics
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A system of coordinates in a [[Pseudo-Euclidean space|pseudo-Euclidean space]] in which the line element has the form: | A system of coordinates in a [[Pseudo-Euclidean space|pseudo-Euclidean space]] in which the line element has the form: | ||
| − | + | $$ds^2=\sum e_idx_i^2,$$ | |
| − | where | + | 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|Inertial system]]). |
Latest revision as of 15:43, 23 April 2014
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
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