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Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F06%3A00002642%21RIV07-GA0-15310___
rdf:type
n13:Vysledek skos:Concept
dcterms:description
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. 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. 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.
dcterms:title
Rovnice totální divergence The total divergence equation The total divergence equation
skos:prefLabel
Rovnice totální divergence The total divergence equation The total divergence equation
skos:notation
RIV/61989592:15310/06:00002642!RIV07-GA0-15310___
n3:strany
71-93
n3:aktivita
n11:P n11:Z
n3:aktivity
P(GA201/06/0922), Z(MSM6198959214)
n3:cisloPeriodika
1
n3:dodaniDat
n8:2007
n3:domaciTvurceVysledku
n17:6915647
n3:druhVysledku
n12:J
n3:duvernostUdaju
n15:S
n3:entitaPredkladatele
n6:predkladatel
n3:idSjednocenehoVysledku
504016
n3:idVysledku
RIV/61989592:15310/06:00002642
n3:jazykVysledku
n5:eng
n3:klicovaSlova
Tensor; Trace; Kronecker tensor; Weyl tensor; Torsion; Curvature
n3:klicoveSlovo
n7:Torsion n7:Weyl%20tensor n7:Trace n7:Tensor n7:Kronecker%20tensor n7:Curvature
n3:kodStatuVydavatele
RU - Ruská federace
n3:kontrolniKodProRIV
[4EE2075FC360]
n3:nazevZdroje
Lobachevskii Journal of Mathematics
n3:obor
n16:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n18:GA201%2F06%2F0922
n3:rokUplatneniVysledku
n8:2006
n3:svazekPeriodika
23
n3:tvurceVysledku
Krupka, Demeter
n3:zamer
n14:MSM6198959214
s:issn
1818-9962
s:numberOfPages
23
n19:organizacniJednotka
15310