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...
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...
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...
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...
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...