Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 9 of 9 for “"convex polytopes"”.
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On shellings and subdivisions of convex polytopes
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1992.
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Comparative Analysis of Geometric Random Walks for Sampling in High-Dimensional Convex Polytopes
… λογισμικού του χώρου (Volesti, PolytopeWalk, PolytopeSampler), με την υποστήριξη εξειδικευμένων εργαλείων προεπεξεργασίας (PolyRound, Dingo). Το πειραματικό πλαίσιο κλιμακώνεται συστηματικά: από θεμελιώδη θεωρητικά σχήματα (πυκνοί υπερκύβοι, simplex και πολύτοπα Birkhoff έως 10^4 διαστάσεων) …
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A Study of the Rigidity of Regular Polytopes
… frameworks and plate hinge structures of regular convex polytopes in many dimensions and determine their rigidity.
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Delzant-type classification of near-symplectic toric 4-manifolds
… is a one-to-one correspondence between certain convex polytopes in ... and symplectic toric 2n-manifolds, realized by the image of the moment map. I present proofs of this theorem and the convexity theorem of Atiyah-Guillemin-Sternberg on which it relies. Then, I describe Honda's results on the …
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On folding and unfolding with linkages and origami
… to continuously flatten the surface of any convex polyhedron without distorting intrinsic surface distances or letting the surface pierce itself. This origami motion is quite general, and applies to convex polytopes of any dimension. To prove that no piercing occurs, we apply the same …
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Mollified piecewise polynomial approximants of arbitrary order and smoothness
… on non-overlapping partitions consisting of convex polytopes. On each polytope, an independent local polynomial approximant of arbitrary order is assumed. The basis functions are defined as the convolution of the local approximant with a mollifier. The mollifier is chosen to be smooth, have a …
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Splines on polytopal complexes
… functions (splines) over a subdivision by convex polytopes $\PC$ of a domain $\Omega\subset\R^n$. Interest in this algebra arises in a wide variety of contexts, ranging from approximation theory and computer-aided geometric design to equivariant cohomology and GKM theory. A primary goal in …
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Set-to-set iterative learning control with applications to electrified aircraft operations
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2027-05-01
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Testing transitivity using inequality-constrained inference: Transitivity, probabilistic models, and inequality-constrained inference
Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2026-12-01