About degree of nondegeneracy of a tetrahedron (Preprint)

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Gepubliceerd in:Mathematical Physics and Computer Modeling vol. 22 No, no. 4 (Aug 2019), p. n/a
Hoofdauteur: Igumnov, Alexander Y
Andere auteurs: Vol 22 No 4 2019, pp 5-29
Gepubliceerd in:
Volgograd State University
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Samenvatting:In work characteristic is offered nondegeneracies of a simplex, defined through ρ?-distance between classes orthogonally equivalent families of points (numbered sets of tops of a simplex). This characteristic it can be used, in particular, for drawing up criteria of quality of a grid. In work the problem of calculation is investigated ρ?-distances from the set tetrahedron (a 4-vertex simplex) to a set degenerate tetrahedrons. It is shown that this the task comes down to calculation of ρ?-distance from this tetrahedron to families of points (on the plane) some three classes. For the correct 4-vertex tetrahedron the ρ?-distance is calculated obviously.
ISSN:2587-6325
2587-6902
2409-1782
DOI:10.15688/mpcm.jvolsu.2019.4.1
Bron:Advanced Technologies & Aerospace Database