例句與造句

1. The pattern is similar if non-convex polytopes are included.
2. Schl鋐li showed that there are six regular convex polytopes in 4 dimensions.
3. Branko Gr黱baum published his influential work on " Convex Polytopes " in 1967.
4. The classical convex polytopes may be considered tessellations, or tilings, of spherical space.
5. A comprehensive and influential book in the subject, called " Convex Polytopes ", was published in 1967 by Branko Gr黱baum.
6. It's difficult to find convex polytopes in a sentence. 用convex polytopes造句挺難的
7. In Gr黱baum's book, and in some other texts in discrete geometry, convex polytopes are often simply called " polytopes ".
8. Gr黱baum's classic monograph " Convex polytopes ", first published in 1967, has become the main textbook on the subject.
9. Much of his work has involved hard classification theorems in geometry, but his well known book on convex polytopes contains plenty of nice combinatorial formulae.
10. Convex polytopes are a special subclass of Nef polyhedra, being the set of polyhedra which are the intersections of a finite set of half-planes.
11. One was in convex polytopes, where he noted a tendency among mathematicians to define a " polyhedron " in different and sometimes incompatible ways to suit the needs of the moment.
12. Since it may be difficult to enumerate the faces, volume computation may be challenging, and hence there exist specialized algorithms to determine the volume ( many of these generalize to convex polytopes in higher dimensions ).
13. This construction determines the combinatorial structure of the vertex figure, similar to a set of connected vertices ( see below ), but not its precise geometry; it may be generalized to convex polytopes in any dimension.
14. While at Princeton, Goldman came under the influence of Albert W . Tucker, with whom he published three " seminal papers " in " Annals of Mathematics Studies " on linear programming and convex polytopes.
15. Even in four dimensions, the set of possible ?-vectors of convex polytopes does not form a convex subset of the four-dimensional integer lattice, and much remains unknown about the possible values of these vectors.
16. He also showed that, of all convex polytopes of given surface area that are equivalent to a given Platonic solid ( e . g . a tetrahedron or a octahedron ), a regular polytope always has the largest possible volume.
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