Results 131 to 140 of about 2,436 (140)
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Transformation Groups, 2008
The purpose of the paper is to explain some formulas appearing in connection with root systems and their zonotopes which are relevant for the theory of the Kostant partition function. In particular, the authors present the Tutte polynomial for all exceptional root systems by a computer assisted computation.
DE CONCINI, Corrado, PROCESI, Claudio
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The purpose of the paper is to explain some formulas appearing in connection with root systems and their zonotopes which are relevant for the theory of the Kostant partition function. In particular, the authors present the Tutte polynomial for all exceptional root systems by a computer assisted computation.
DE CONCINI, Corrado, PROCESI, Claudio
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Zonotopes, Braids, and Quantum Groups
Annals of Combinatorics, 2000In a previous paper the author defined certain elements of the braid group and showed that they satisfy the analogue of well-known \(q\)-identities such as Pascal's, Vandermonde's, and Cauchy's. These correspond to the one-dimensional representations of \(B_n\). Higher-dimensional representations yield new realizations of these identities.
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Combinatorial Properties of Associated Zonotopes
Canadian Journal of Mathematics, 1974Let S 1 . . . ,Sr be r line segments, each of non-zero length, in n-dimensional euclidean space R n . If a polytope Z is defined as the vector (Minkowski) sum (1) Z = S 1 + . . . + Sr ,
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Guaranteed state estimation by zonotopes
42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alamo, T., Bravo, J. M., Camacho, E. F.
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Extremum problems for zonotopes
Geometriae Dedicata, 1988A zonotope Z with n zones in Euclidean space \({\mathbb{R}}^ d\) (1\(\leq d\leq n)\) is the Minkowski sum of n line segments. Using the fact that Z can be decomposed into \(\left( \begin{matrix} n\\ d\end{matrix} \right)\) parallelotopes, a formula for the volume V(Z) of Z is established (Section 1).
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Fans, Arrangements, Zonotopes, and Tilings
1995Zonotopes are the images of n-cubes under affine projection maps. Since for most aspects of polytope theory n-cubes are not very complicated, this definition may hide the complexity and richness of this concept.
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Polynomial Zonotopes Intersection Checking
Proceedings of the ACM/IEEE 16th International Conference on Cyber-Physical Systems (with CPS-IoT Week 2025)Ertai Luo +3 more
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