[PDF][PDF] Optimal tolerancing in mechanical design using polyhedral computation tools

K Fukuda, JP Petit, E d'Annecy… - … European workshop of …, 2003 - tizian.cs.uni-bonn.de
Mechanical engineering is a field in which mechanisms (assemblies of parts) are designed
and manufactured. This mechanism is born from a customer need and this last specifies …

Geometric and Topological Combinatorics

GM Ziegler, A Björner, G Kalai - Oberwolfach Reports, 2007 - ems.press
… When v1 = v2 = ··· = vn = 2, tight bounds (“zonotope bounds”) are attained by n line
segments in general position, see, eg [4]. One can easily formulate trivial upper bounds: …

[PDF][PDF] Combinatorial geometry with algorithmic applications

J Pach, M Sharir - The Alcala Lectures, Alcala, Spain, 2006 - math.tau.ac.il
… The well-known combinatorial structure oriented matroids of rank k + 1 are closely related
to arrangements of pseudo-hyperplanes in Rk [86, 342], and zonotopes in Rd correspond to …

Reliable parameter estimation in presence of uncertain variables that are not estimated

I Braems, L Jaulin, M Kieffer, N Ramdani… - IFAC Proceedings …, 2003 - Elsevier
In a bounded-error context, reliable set-inversion algorithms such as SIVIA provide guaranteed
estimates of the set of all the parameters deemed compatible with the selected model …

Multivariate Lorenz dominance based on zonoids

GA Koshevoy, K Mosler - AStA Advances in Statistical Analysis, 2007 - Springer
… As the zonoid ̂Z(X) in (3) is a convex polytope, it is also called the lift zonotope. We define
… (2003) A scatter matrix estimate based on zonotope. The Annals of Statistics 31, 1439–1459 …

[HTML][HTML] Concentration, results and applications

G Schechtman - Handbook of the geometry of Banach spaces, 2003 - Elsevier
Concentration inequalities are estimates for the degree of approximation of functions on metric
probability spaces around their mean. It turns out that in many natural situations one can …

[HTML][HTML] Global optimization of dynamic systems

I Papamichail, CS Adjiman - Computers & chemical engineering, 2004 - Elsevier
Many chemical engineering systems are described by differential equations. Their optimization
is often complicated by the presence of nonconvexities. A deterministic spatial branch …

On the existence of crepant resolutions of Gorenstein Abelian quotient singularities in dimensions\geq 4

DI Dais, M Henk, GM Ziegler - arXiv preprint math/0512619, 2005 - arxiv.org
For which finite subgroups G of SL(r,C), r \geq 4, are there crepant desingularizations of the
quotient space C^r/G? A complete answer to this question (also known as "Existence …

Calculating collision probability for arbitrary space vehicle shapes via numerical quadrature

RP Patera - Journal of guidance, control, and dynamics, 2005 - arc.aiaa.org
METHODS to compute space-vehicle collision probability have been developed and presented
in earlier publications. 1− 5 The contour integration method was developed to improve …

On the Existence of Crepant Resolutions of Gorenstein Abelian Quotient Singularities

DI Dais, M Henk, GM Ziegler - … August 20-26, 2005, Anogia, Crete …, 2006 - books.google.com
… T (r–1; k), belonging to the interior of k sr_1, is constructed as the image under an appropriate
integral affine transformation of the join of the origin 0€ R" with the facets of the zonotope