A note on Gordan's theorem over cone domains
This note presents a proof of Gordan's Theorem over general closed, convex cone domains which follows in a natural way appealing to the standard definitions of closed convex cones and their respective polar cones.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117128200074X |
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| _version_ | 1832549417648914432 |
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| author | Brad Skarpness V. A. Sposito |
| author_facet | Brad Skarpness V. A. Sposito |
| author_sort | Brad Skarpness |
| collection | DOAJ |
| description | This note presents a proof of Gordan's Theorem over general closed, convex cone domains which follows in a natural way appealing to the standard definitions of closed convex cones and their respective polar cones. |
| format | Article |
| id | doaj-art-fffc6fc840314a58bd3fde14d82e72f8 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1982-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fffc6fc840314a58bd3fde14d82e72f82025-02-03T06:11:23ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251982-01-015480981210.1155/S016117128200074XA note on Gordan's theorem over cone domainsBrad Skarpness0V. A. Sposito1Department of Statistics, Virginia Polytechnical Institute, Blacksburg 24061, Virginia, USADepartment of Statistics, Iowa State University, Ames 50011, Iowa, USAThis note presents a proof of Gordan's Theorem over general closed, convex cone domains which follows in a natural way appealing to the standard definitions of closed convex cones and their respective polar cones.http://dx.doi.org/10.1155/S016117128200074XGordan's theoremclosed convex conespolar cones. |
| spellingShingle | Brad Skarpness V. A. Sposito A note on Gordan's theorem over cone domains International Journal of Mathematics and Mathematical Sciences Gordan's theorem closed convex cones polar cones. |
| title | A note on Gordan's theorem over cone domains |
| title_full | A note on Gordan's theorem over cone domains |
| title_fullStr | A note on Gordan's theorem over cone domains |
| title_full_unstemmed | A note on Gordan's theorem over cone domains |
| title_short | A note on Gordan's theorem over cone domains |
| title_sort | note on gordan s theorem over cone domains |
| topic | Gordan's theorem closed convex cones polar cones. |
| url | http://dx.doi.org/10.1155/S016117128200074X |
| work_keys_str_mv | AT bradskarpness anoteongordanstheoremoverconedomains AT vasposito anoteongordanstheoremoverconedomains AT bradskarpness noteongordanstheoremoverconedomains AT vasposito noteongordanstheoremoverconedomains |