[PDF][PDF] Lectures on random sets and their applications in economics and finance

I Molchanov - 2012 - cemmap.ac.uk
… 11In general, a zonotope is the Minkowski sum of a finite number of segments, ie the … A
zonoid is the limit of zonotopes in the Hausdorff metric and so is the expectation of a random …

[PDF][PDF] Interval Arithmetic, Extended Numbers and Computer Algebra Systems

RJ Fateman - University of California at Berkeley, 2009 - people.eecs.berkeley.edu
… This situation produces centrally-symmetric convex polygons or “zonotopes”. In two
dimensions these can be visualized as “lozenge” shapes that are smaller than the enclosing …

Model-based fault diagnosis for aerospace systems: a survey

J Marzat, H Piet-Lahanier… - Proceedings of the …, 2012 - journals.sagepub.com
This survey of model-based fault diagnosis focuses on those methods that are applicable to
aerospace systems. To highlight the characteristics of aerospace models, generic non-linear …

[PDF][PDF] Résolution de Contraintes Temporelles pour l'Analyse de Systèmes Biologiques

MO Maler - 2011 - contraintes.inria.fr
… Cependant les zonotopes ne sont pas stables par intersection et ne peuvent donc pas
être utilisés dans notre cas pour calculer le domaine de validité exact d’une formule. …

[BOOK][B] Computation of curves and surfaces

W Dahmen, M Gasca, CA Micchelli - 2012 - books.google.com
… As a last example we mention zonotopes, ie, polytopes of the form Z (X)= {ze R*: x= Xu, u€[0,
1]”}, where X is any s xn integer matrix of ranks. One can show that when the integer matrix …

[PDF][PDF] Algorithmic approach to abstracting linear systems by timed automata

C Sloth, R Wisniewski - IFAC Workshop Series, 2011 - vbn.aau.dk
… methods is to overapproximate the reachable states of a system by convex sets as in
Kurzhanski and Vlyi [1997], where the sets are ellipsoids and in Girard [2005] using zonotopes. …

[PDF][PDF] On Simultaneous Approximation in Function Spaces [C-5B] E. Abu-Sirhan Tafila Technical University, Tafila, Jordan esarhan@ ttu. edu. jo The problem of …

MA AlQudah, JR Angelos, G Awanou - math.vanderbilt.edu
We present a formula for the local Lipschitz constant for uniform approximation of f on a
discrete subset X of [− 1, 1] from a generalized Haar subspace of dimension n, under the …

[HTML][HTML] A polynomial-time recursive algorithm for some unconstrained quadratic optimization problems

W Ben-Ameur, J Neto - Discrete applied mathematics, 2011 - Elsevier
Determining the cells of an arrangement of hyperplanes is a classical problem in combinatorial
geometry. In this paper we present an efficient recursive procedure to solve it. In fact, by …

Metric graph theory and geometry: a survey

HJ Bandelt, V Chepoi - Contemporary Mathematics, 2008 - books.google.com
The article surveys structural characterizations of several graph classes defined by distance
properties, which have in part a general algebraic flavor and can be interpreted as subdirect …

Nonrational configurations, polytopes, and surfaces

GM Ziegler - The Mathematical Intelligencer, 2008 - Springer
… we impose the condition that the cubes in the boundary have to be affine cubes--so all 2faces
are centrally symmetric--then there are easy, nonrational examples, namely the zonotopes