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DGCI
2006
Springer
15 years 9 months ago
On Minimal Perimeter Polyminoes
This paper explores proofs of the isoperimetric inequality for 4-connected shapes on the integer grid Z2 , and its geometric meaning. Pictorially, we discuss ways to place a maxima...
Yaniv Altshuler, Vladimir Yanovski, Daniel Vainsen...
EM
2010
134views Management» more  EM 2010»
15 years 6 months ago
High-Accuracy Semidefinite Programming Bounds for Kissing Numbers
Abstract. The kissing number in n-dimensional Euclidean space is the maximal number of non-overlapping unit spheres which simultaneously can touch a central unit sphere. Bachoc and...
Hans D. Mittelmann, Frank Vallentin
IJCSS
2006
94views more  IJCSS 2006»
15 years 6 months ago
Minimum Jerk Reaching Movements of Human Arm with Mechanical Constraints at Endpoint
In this paper, minimum jerk movement on the constrained sphere was studied by using both theoretical analysis and experimental investigation. Based on the constraint optimal princ...
D. H. Sha, James L. Patton, Ferdinando A. Mussa-Iv...
FOCM
2007
48views more  FOCM 2007»
15 years 6 months ago
Integration and Optimization of Multivariate Polynomials by Restriction onto a Random Subspace
Abstract. We consider the problem of efficient integration of an n-variate polynomial with respect to the Gaussian measure in Rn and related problems of complex integration and opt...
Alexander I. Barvinok
COMBINATORICA
2011
14 years 6 months ago
On planarity of compact, locally connected, metric spaces
Thomassen [Combinatorica 24 (2004), 699–718] proved that a 2–connected, compact, locally connected metric space is homeomorphic to a subset of the sphere if and only if it doe...
R. Bruce Richter, Brendan Rooney, Carsten Thomasse...