On Geometric Characteristics of an <i>n</i>-Dimensional Simplex
We prove and discuss some propositions for geometric characteristics of an n-dimensional simplex. Also we note the connection with linear interpolation on the cube [0; 1]^n.
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2011-06-01
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| Series: | Modelirovanie i Analiz Informacionnyh Sistem |
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| Online Access: | https://www.mais-journal.ru/jour/article/view/1088 |
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Article |
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doaj-9d1654e8a7bf4d1680be32a3d3e558762021-07-29T08:15:17ZengYaroslavl State UniversityModelirovanie i Analiz Informacionnyh Sistem1818-10152313-54172011-06-011825264829On Geometric Characteristics of an <i>n</i>-Dimensional SimplexM. V. Nevskii0Ярославский государственный университет им. П.Г. ДемидоваWe prove and discuss some propositions for geometric characteristics of an n-dimensional simplex. Also we note the connection with linear interpolation on the cube [0; 1]^n.https://www.mais-journal.ru/jour/article/view/1088<i>n</i>-dimensional simplex<i>n</i>-dimensional cubehomothetyaxial diameterlinear interpolationprojection |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. V. Nevskii |
| spellingShingle |
M. V. Nevskii On Geometric Characteristics of an <i>n</i>-Dimensional Simplex Modelirovanie i Analiz Informacionnyh Sistem <i>n</i>-dimensional simplex <i>n</i>-dimensional cube homothety axial diameter linear interpolation projection |
| author_facet |
M. V. Nevskii |
| author_sort |
M. V. Nevskii |
| title |
On Geometric Characteristics of an <i>n</i>-Dimensional Simplex |
| title_short |
On Geometric Characteristics of an <i>n</i>-Dimensional Simplex |
| title_full |
On Geometric Characteristics of an <i>n</i>-Dimensional Simplex |
| title_fullStr |
On Geometric Characteristics of an <i>n</i>-Dimensional Simplex |
| title_full_unstemmed |
On Geometric Characteristics of an <i>n</i>-Dimensional Simplex |
| title_sort |
on geometric characteristics of an <i>n</i>-dimensional simplex |
| publisher |
Yaroslavl State University |
| series |
Modelirovanie i Analiz Informacionnyh Sistem |
| issn |
1818-1015 2313-5417 |
| publishDate |
2011-06-01 |
| description |
We prove and discuss some propositions for geometric characteristics of an n-dimensional
simplex. Also we note the connection with linear interpolation on the cube [0; 1]^n. |
| topic |
<i>n</i>-dimensional simplex <i>n</i>-dimensional cube homothety axial diameter linear interpolation projection |
| url |
https://www.mais-journal.ru/jour/article/view/1088 |
| work_keys_str_mv |
AT mvnevskii ongeometriccharacteristicsofaninidimensionalsimplex |
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1721256593121607680 |