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Description
  • Jsou předloženy některé příklady souvislostí mezi teorií matic, teorií grafů a n-rozměrnou euklidovskou geometrií. Zejména jsou úplně charakterizovány kvalitativní vlastnosti vnitřních úhlů simplexů. Pro pravoúhlé simplexy je dokázán vztah mezi stromem odvěsen a opsaným Steinerovým elipsoidem. (cs)
  • Some examples of the interplay between atrix theory, graph theory and n-dimensional Euclidean geometry are presented. In particular, qualitative properties of interior angles in simplices are completely characterized. For right simplices, a relationship between the tree of legs and the circumscribed Steiner ellipsoids is proved.
  • Some examples of the interplay between atrix theory, graph theory and n-dimensional Euclidean geometry are presented. In particular, qualitative properties of interior angles in simplices are completely characterized. For right simplices, a relationship between the tree of legs and the circumscribed Steiner ellipsoids is proved. (en)
Title
  • Matrices and Graphs in Euclidean Geometry
  • Matice a grafy v euklidovské geometrii (cs)
  • Matrices and Graphs in Euclidean Geometry (en)
skos:prefLabel
  • Matrices and Graphs in Euclidean Geometry
  • Matice a grafy v euklidovské geometrii (cs)
  • Matrices and Graphs in Euclidean Geometry (en)
skos:notation
  • RIV/67985807:_____/05:00405566!RIV06-AV0-67985807
http://linked.open.../vavai/riv/strany
  • 51;58
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  • P(IAA1030302), Z(AV0Z10300504)
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  • -
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  • 529075
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  • RIV/67985807:_____/05:00405566
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  • Euclidean space; Gram matrix; biorthogonal bases; simplex; interior angle; Steiner circumscribed ellipsoid; right simplex (en)
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  • IL - Stát Izrael
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  • [7EBFD0013A3F]
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  • ELA Electronic Linear Algebra
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  • 14
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  • Fiedler, Miroslav
http://linked.open...n/vavai/riv/zamer
issn
  • 1081-3810
number of pages
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