Orthogonal Projections Based on Hyperbolic and Spherical n-Simplex
Orthogonal projection along a geodesic to the chosen k-plane is introduced using edge and Gram matrix of an n-simplex in hyperbolic or spherical n-space. The distance from a point to k-plane is obtained by the orthogonal projection. It is also given the perpendicular foot from a point to k-plane of...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/808250 |
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| _version_ | 1849469086189223936 |
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| author | Murat Savas Baki Karliga Atakan T. Yakut |
| author_facet | Murat Savas Baki Karliga Atakan T. Yakut |
| author_sort | Murat Savas |
| collection | DOAJ |
| description | Orthogonal projection along a geodesic to the chosen k-plane is introduced using edge and Gram matrix of an n-simplex in hyperbolic or spherical n-space. The distance from a point to k-plane is obtained by the orthogonal projection. It is also given the perpendicular foot from a point to k-plane of hyperbolic and spherical n-space. |
| format | Article |
| id | doaj-art-f77452b53074414da356e2e8ecfdfe56 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-f77452b53074414da356e2e8ecfdfe562025-08-20T03:25:38ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/808250808250Orthogonal Projections Based on Hyperbolic and Spherical n-SimplexMurat Savas0Baki Karliga1Atakan T. Yakut2Department of Mathematics, Faculty of Science, Gazi University, 06500 Ankara, TurkeyDepartment of Mathematics, Faculty of Science, Gazi University, 06500 Ankara, TurkeyDepartment of Mathematics, Art and Sciences Faculty, Nigde University, 51100 Nigde, TurkeyOrthogonal projection along a geodesic to the chosen k-plane is introduced using edge and Gram matrix of an n-simplex in hyperbolic or spherical n-space. The distance from a point to k-plane is obtained by the orthogonal projection. It is also given the perpendicular foot from a point to k-plane of hyperbolic and spherical n-space.http://dx.doi.org/10.1155/2015/808250 |
| spellingShingle | Murat Savas Baki Karliga Atakan T. Yakut Orthogonal Projections Based on Hyperbolic and Spherical n-Simplex Advances in Mathematical Physics |
| title | Orthogonal Projections Based on Hyperbolic and Spherical n-Simplex |
| title_full | Orthogonal Projections Based on Hyperbolic and Spherical n-Simplex |
| title_fullStr | Orthogonal Projections Based on Hyperbolic and Spherical n-Simplex |
| title_full_unstemmed | Orthogonal Projections Based on Hyperbolic and Spherical n-Simplex |
| title_short | Orthogonal Projections Based on Hyperbolic and Spherical n-Simplex |
| title_sort | orthogonal projections based on hyperbolic and spherical n simplex |
| url | http://dx.doi.org/10.1155/2015/808250 |
| work_keys_str_mv | AT muratsavas orthogonalprojectionsbasedonhyperbolicandsphericalnsimplex AT bakikarliga orthogonalprojectionsbasedonhyperbolicandsphericalnsimplex AT atakantyakut orthogonalprojectionsbasedonhyperbolicandsphericalnsimplex |