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C. W. Lee 《Discrete and Computational Geometry》1996,15(4):389-421
We describe here the notion of generalized stress on simplicial complexes, which serves several purposes: it establishes a
link between two proofs of the Lower Bound Theorem for simplicial convex polytopes; elucidates some connections between the
algebraic tools and the geometric properties of polytopes; leads to an associated natural generalization of infinitesimal
motions; behaves well with respect to bistellar operations in the same way that the face ring of a simplicial complex coordinates
well with shelling operations, giving rise to a new proof that p.l.-spheres are Cohen-Macaulay; and is dual to the notion
of McMullen's weights on simple polytopes which he used to give a simpler, more geometric proof of theg-theorem.
Supported in part by NSF Grants DMS-8504050 and DMS-8802933, by NSA Grant MDA904-89-H-2038, by the Mittag-Leffier Institute,
by DIMACS (Center for Discrete Mathematics and Theoretical Computer Science), a National Science Foundation Science and Technology
Center, NSF-STC88-09648, and by a grant from the EPSRC. 相似文献
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J.M. Adamo 《Fuzzy Sets and Systems》1980,3(2):151-179
The L.P.L. language (Linguistic oriented Programming Language) that we shall present in this paper and in a forthcoming one is a new language aiming at an implementation of the concepts of the fuzzy sets theory. In the first paper, after an introduction to the basic concepts. we shall describe the syntactic aspects of L.P.L., i.e., the data declarations structure, the statements structure, the general structure of L.P.L. models. The second paper will deal first with the basic semantic and the semantics of logical expressions, then the semantics of basic statements as well as the semantics of the control structure of programs. 相似文献
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J.M. Adamo 《Fuzzy Sets and Systems》1981,6(1):43-59
Four application cases of the L.P.L. language are presented here. We show that L.P.L. provides extended possibilities for the building of combinatorial programs. 相似文献
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