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  • Je předložena teorie rozkladů tenzorových prostorů na bázi duality. Pomocí operace stopy a vhodných symetrizací a antisymetrizací jsou odvozeny rovnice pro tenzorové rozklady pro tenzory, symetrické v některých horních indexech a antisymetrické v dolních indexech. Jsou odvozeny komutační relace pro tyto operace. Jsou také diskutovány tenzorové rozklady konkrétních tenzorových prostorů. (cs)
  • The trace decomposition theory of tensor spaces, based on duality, is presented. The trace decomposition equations for tensors, symmetric in some sets of superscripts, and antisymmetric in the subscripts, are derived by means of the trace operations and appropriate symmetrizations and antisymmetrizations. Commutation relations for the corresponding linear operators are also derived. Trace decompositions of various concrete tensor spaces are discussed.
  • The trace decomposition theory of tensor spaces, based on duality, is presented. The trace decomposition equations for tensors, symmetric in some sets of superscripts, and antisymmetric in the subscripts, are derived by means of the trace operations and appropriate symmetrizations and antisymmetrizations. Commutation relations for the corresponding linear operators are also derived. Trace decompositions of various concrete tensor spaces are discussed. (en)
Title
  • The total divergence equation
  • Rovnice totální divergence (cs)
  • The total divergence equation (en)
skos:prefLabel
  • The total divergence equation
  • Rovnice totální divergence (cs)
  • The total divergence equation (en)
skos:notation
  • RIV/61989592:15310/06:00002642!RIV07-GA0-15310___
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  • 71-93
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  • P(GA201/06/0922), Z(MSM6198959214)
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  • 1
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  • 504016
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  • RIV/61989592:15310/06:00002642
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  • Tensor; Trace; Kronecker tensor; Weyl tensor; Torsion; Curvature (en)
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  • RU - Ruská federace
http://linked.open...ontrolniKodProRIV
  • [4EE2075FC360]
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  • Lobachevskii Journal of Mathematics
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  • 23
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  • Krupka, Demeter
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  • 1818-9962
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  • 15310
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