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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Siberian Mathematica...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Siberian Mathematical Journal
Article . 1985 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Group and phenomenological symmetries in geometry

Authors: G. G. Mikhailichenko;

Group and phenomenological symmetries in geometry

Abstract

In dem Artikel definiert man die Begriffe der phänomenologischen Symmetrie der \(n\)-dimensionalen Geometrie der Abstände des Rangs \(m=n+2\) und der \(n\)-dimensionalen Geometrie der Abstände mit gruppaler Symmetrie der Ordnung \(n(n+1)/2\) auf einer vorgegebenen Menge. Man zeigt, daß die gruppale Symmetrie des \(n\)-dimensionalen Raumes, welcher die Bewegung des festen Körpers mit \(n(n+1)/2\) Freiheitsgraden definiert, äquivalent mit der phänomenologischen Symmetrie ist.

Keywords

Analytic geometry with other transformation groups, physical structures, phenomenological symmetry, General theory of distance geometry, Metric geometry, group symmetry, Axiomatics, foundations

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Top 10%
Average
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