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Both sides previous revision Previous revision Next revision | Previous revision Next revisionBoth sides next revision | ||
tutorial:coordinates [2012/07/07 14:41] – [An example] joswig | user_guide:coordinates [2019/01/25 10:58] – ↷ Links adapted because of a move operation oroehrig | ||
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Points from both sections can now be identified with infinite rays through the origin in //W//. Facets are identified with the a hyperplane containing the image of the facet in //V// and the origin in //W//. This hyperplane is represented by a normal vector. | Points from both sections can now be identified with infinite rays through the origin in //W//. Facets are identified with the a hyperplane containing the image of the facet in //V// and the origin in //W//. This hyperplane is represented by a normal vector. | ||
- | Note that a facet defining hyperplane is not uniquely determined if the polyhedron is not full-dimensional. {{ tutorial: | + | Note that a facet defining hyperplane is not uniquely determined if the polyhedron is not full-dimensional. {{ user_guide: |
A vertex is incident with a facet if and only if the scalar product of their representatives in //W// is zero. | A vertex is incident with a facet if and only if the scalar product of their representatives in //W// is zero. | ||
Line 40: | Line 40: | ||
</ | </ | ||
- | Each line describes one linear inequality. | + | Each line describes one linear inequality. |
Clearly, the polyhedron is unbounded. | Clearly, the polyhedron is unbounded. |