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NOTE ON PROJECTION BODIES OF ZONOTOPES WITH n+1 GENERATORS: 《Acta Mathematica Scientia》2025年第1期96-103,共8页Martin HENK; We show that the volume of the projection bodyΠ(Z)of an n-dimensional zonotope Z with n+1 generators and of volume 1 is always exactly 2^(n).Moroever,we point out that an upper bound on the volume ofΠ(K)of a central...; 关键词：projection body Petty functional POLYTOPES ZONOTOPES

Fundamental Groups of Real Toric Spaces over Simple Polytopes: 《Acta Mathematica Sinica,English Series》2022年第10期1887-1900,共14页Zhi LU Song ZHANG; Partially supported by the NSFC(Grant No.11971112);the China Scholarship Council(Grant No.202106100095)。; In this paper we study the cubical stuctures and fundamental groups of real toric spaces.We give an explicit presentation of the fundamental group of the real toric space over a simple polytope.Then using this present...; 关键词：Real toric space fundamental group simple polytope real Buchstaber invariant

The Logarithmic Capacitary Minkowski Problem for Polytopes: 《Acta Mathematica Sinica,English Series》2022年第2期406-418,共13页Ge XIONG Jia Wei XIONG; Supported by NSFC(Grant No.11871373)。; The logarithmic capacitary Minkowski problem asks for necessary and sufficient conditions on a finite Borel measure on the unit sphere so that it is the logarithmic capacitary measure of a convex body.This article com...; 关键词：Minkowski problem capacity POLYTOPE general position

The Log Minimal Model Program for Horospherical Varieties Via Moment Polytopes: 《Acta Mathematica Sinica,English Series》2018年第3期542-562,共21页Boris PASQUIER; In a previous work, we described the Minimal Model Program in the family of Q-Gorenstein projective horospherical varieties, by studying certain continuous changes of moment polytopes of polarized horospherical variet...; 关键词：Log minimal model program horospherical varieties moment polytopes

Minkowski Sum of Polytopes Defined by Their Vertices被引量：1: 《Journal of Applied Mathematics and Physics》2015年第1期62-67,共6页Vincent Delos Denis Teissandier; Minkowski sums are of theoretical interest and have applications in fields related to industrial backgrounds. In this paper we focus on the specific case of summing polytopes as we want to solve the tolerance analysis...; 关键词：Computational Geometry POLYTOPE MINKOWSKI Sum Linear Programming CONVEX HULL

On Two Problems for Matrix Polytopes: 《Applied Mathematics》2014年第17期2650-2656,共7页Serife Yilmaz Taner Büyükkoroglu; We consider two problems from stability theory of matrix polytopes: the existence of common quadratic Lyapunov functions and the existence of a stable member. We show the applicability of the gradient algorithm and gi...; 关键词：Stable Matrix Matrix Family Common Quadratic Lyapunov Functions Switched System Gradient Method

Robust D-stability LMI conditions of matrix polytopes via affine parameter-dependent Lyapunov functions: 《Journal of Systems Engineering and Electronics》2013年第6期984-991,共8页Pan Xiong Feng Wang Xibin Cao Guangren Duan; supported by the National Natural Science Foundation of China (60904051;61021002); The problem of the robust D-stability analysis for linear systems with parametric uncertainties is addressed. For matrix polytopes, new conditions via the affine parameter-dependent Lyapunov function of uncertain syst...; 关键词：linear uncertain system robust D-stability analysis linear matrix inequality （LMI） condition affine parameterdependent Lyapunov function matrix polytope.

On the Buchstaber Invariant of Simple Convex 3-Polytopes: 《Chinese Annals of Mathematics,Series B》2013年第5期697-714,共18页Dengpin LIU; the National Natural Science Foundation of China(No.10931005);the Shang-hai National Natural Science Foundation(No.10ZR1403600);the Research Fund for the DoctoralProgram of Higher Education of China(No.20100071110001); and uses it imply that application In this paper the author gives a method of constructing characteristic matrices, to determine the Buchstaber invariants of all simple convex 3-polytopes, which each simple convex 3-p...; 关键词：Simple convex polytope Characteristic function Buchstaber invariant

Why Well Spread Probability Samples Are Balanced被引量：3: 《Open Journal of Statistics》2013年第1期36-41,共6页Anton Grafstrom Niklas L.P.Lundstrom; When sampling from a finite population there is often auxiliary information available on unit level. Such information can be used to improve the estimation of the target parameter. We show that probability samples tha...; 关键词：Balanced Sample Local Pivotal Method Spatial Balance Spatially Correlated Poisson Sampling Voronoi Polytopes

Algorithms and Software for Generating Sequences of Random Tuples in Special Simple Polytopes: 《通讯和计算机（中英文版）》2011年第3期180-187,共8页Efraim Shmerling; 关键词：随机软件多面体元组生成算法序列随机生成软件程序测量方法

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