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Difference between revisions of "Galilean coordinate system"

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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:
  
<table class="eq" style="width:100%;"> <tr><td valign="top" style="width:94%;text-align:center;"><img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/g/g043/g043050/g0430501.png" /></td> </tr></table>
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$$ds^2=\sum e_idx_i^2,$$
  
where <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/g/g043/g043050/g0430502.png" />. 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]]).
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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=15686
This article was adapted from an original article by D.D. Sokolov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article