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» Some existence and construction results of polygonal designs
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NDJFL
2000
97views more  NDJFL 2000»
13 years 7 months ago
Neo-Fregean Foundations for Real Analysis: Some Reflections on Frege's Constraint
now of a number of ways of developing Real Analysis on a basis of abstraction principles and second-order logic. One, outlined by Shapiro in his contribution to this volume, mimic...
Crispin Wright
STOC
2001
ACM
119views Algorithms» more  STOC 2001»
14 years 7 months ago
Complex tilings
Two infinite families of self-similar tilings are described which have apparently not been reported before. Each tiling is based on a single prototile that is a segment of a regul...
Bruno Durand, Leonid A. Levin, Alexander Shen
SIGACT
2008
103views more  SIGACT 2008»
13 years 7 months ago
Computational geometry column 50
Two long-open problems have been solved: (1) every sufficiently large planar point set in general position contains the vertices of an empty hexagon; (2) every finite collection o...
Joseph O'Rourke
FOCM
2008
100views more  FOCM 2008»
13 years 7 months ago
A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds
We consider the problem of finding a singularity of a differentiable vector field X defined on a complete Riemannian manifold. We prove a unified result for the existence and local...
Felipe Alvarez, Jérôme Bolte, Julien ...
FOCS
2002
IEEE
14 years 9 days ago
Protocols and Impossibility Results for Gossip-Based Communication Mechanisms
In recent years, gossip-based algorithms have gained prominence as a methodology for designing robust and scalable communication schemes in large distributed systems. The premise ...
David Kempe, Jon M. Kleinberg