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SIAMJO
2002
73views more  SIAMJO 2002»
13 years 7 months ago
Nonlinearly Constrained Best Approximation in Hilbert Spaces: The Strong CHIP and the Basic Constraint Qualification
We study best approximation problems with nonlinear constraints in Hilbert spaces. The strong "conical hull intersection property" (CHIP) and the "basic constraint q...
Chong Li, Xiao-Qing Jin
MLQ
2002
74views more  MLQ 2002»
13 years 7 months ago
Computability on Regular Subsets of Euclidean Space
For the computability of subsets of real numbers, several reasonable notions have been suggested in the literature. We compare these notions in a systematic way by relating them to...
Martin Ziegler
STOC
1989
ACM
99views Algorithms» more  STOC 1989»
13 years 11 months ago
A Random Polynomial Time Algorithm for Approximating the Volume of Convex Bodies
We present a randomised polynomial time algorithm for approximating the volume of a convex body K in n-dimensional Euclidean space. The proof of correctness of the algorithm relie...
Martin E. Dyer, Alan M. Frieze, Ravi Kannan
JCDCG
2000
Springer
13 years 11 months ago
Sequentially Divisible Dissections of Simple Polygons
A k-dissection D of a polygon P, is a partition of P into a set of subpolygons {Q1, . . . , Qm} with disjoint interiors such that these can be reassembled to form k polygons P1, ....
Jin Akiyama, Toshinori Sakai, Jorge Urrutia
COMPGEOM
2010
ACM
13 years 11 months ago
Tangencies between families of disjoint regions in the plane
Let C be a family of n convex bodies in the plane, which can be decomposed into k subfamilies of pairwise disjoint sets. It is shown that the number of tangencies between the memb...
János Pach, Andrew Suk, Miroslav Treml