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Article
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Proceedings of the American Mathematical Society
Article . 1959 . Peer-reviewed
Data sources: Crossref
Proceedings of the American Mathematical Society
Article . 1959 . Peer-reviewed
Data sources: Crossref
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A Pseudo-Euclidean Geometry

A pseudo-Euclidean geometry
Authors: Fulton, Curtis M.;

A Pseudo-Euclidean Geometry

Abstract

The axioms to be used in this paper are, with only two exceptions, the same as those for abstract Euclidean vector spaces. We denote the elements by small letters and call them points. The null element 0, however, will not be considered a point. Capital letters will be used for scalars which are assumed to be real numbers. For addition and scalar multiplication we postulate the usual properties [1, pp. 3-4]. Our axioms for the "inner product," also a real number, are as follows:

Keywords

foundations of geometry, noneuclidean geometry

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selected citations
These citations are derived from selected sources.
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!
0
Average
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