词汇 | polytope |
释义 | polytope noun[ C ] mathematics specializeduk /ˈpɒl.i.təʊp/ us /ˈpɑː.li.toʊp/ a flat or solid shape with flat sides : 多面体 Some examples of polytopes are cubes, polygons, and pyramids.一些多面体的例子包括立方体、多边形和金字塔。 The diagram represents a complex polytope. Each face of a polytope is also a polytope. What's the difference between a polytope and a polyhedron? The region described by the constraints is a polytope. Geometrical shapes -cornered circularly congruently conic cylindrically lozenge orbicular ovally ovoid parallelogram pentagon polyhedron prism pyramid pyramidical quadrilateral rectangle rectangular rhombus three-dimensional Examples of polytopepolytope In this case, there would be a force polytope and a moment polytope. By a polyhedron we mean a convex 3-dimensional polytope. Each of the following ten row vectors represents a facet of our polytope. Finally, from what still remains of the unit sphere we remove slabs about the faces of the polytope while retaining the faces. A simple example of a generalized polytope exchange is a generalized interval exchange. If this condition were expressed as a polynomial, its cost could not be expressed as the volume of a polytope. This is a particular wrench polytope caused by the location of the manipulator. The intersection can occur either on a facet, on an edge, or on a vertex of the polytope. Due to the symmetry of the polytope, the same moment will constrain the cylinder in the negative direction. These geometrical properties could be implemented to develop an efficient algorithm to generate a graphical polytope. The proposed algorithm excludes these internal points to give a complete robot manipulability polytope. In order to overcome the aforementioned deficiency, the polytope technique is proposed in this article. After this step, traditional formulae of symbolic summation can be applied and polytope volumes are expressed by polynomials whose variables are symbolic sizes. We do not know whether each of these 3-spheres can be realized as the boundary of a 4-dimensional polytope. To ensure the affinity of cost expressions, conditionals are constrained to be mask skeletons whose condition characterizes a convex polytope. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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