An Improved Upper Bound for the ErdAs-Szekeres Conjecture
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This article is an attempt to reframe the evolution of books into a larger evolutionary theory. A central concept of this theory is the notion of regulated representation. A regulated representation is governed by a set of production and usage rules.ur cor ...
In this paper we prove the conjecture of Korevaar and Meyers: for each N≥cdtd, there exists a spherical t-design in the sphere Sd consisting of N points, where cd is a constant depending only on d. ...
Let d(1) < d(2) < ... denote the set of all distances between two vertices of a convex n-gon. We show that the number of pairs of vertices at distance d(2) from one another is at most n + O(1). (C) 2013 Elsevier B.V. All rights reserved. ...
Bringing flexibility and extensibility into Learning Management Systems) is crucial because it gives teachers and students a free choice of technologies and educational materials they want to use for their courses. The paper presents a solution via enablin ...
Like precipitation, the raindrop size distribution (DSD) is strongly variable in space and time. Understanding this variability is important for quantifying and minimizing some of the uncertainties in radar measurements and their interpretation in terms of ...
Let {X(t), t is an element of R-N} be a fractional Brownian motion in R-d of index H. If L(0,I) is the local time of X at 0 on the interval I subset of R-N, then there exists a positive finite constant c(=c(N,d,H)) such that ...
The accuracy of nonscreened and screened hybrid functionals for the calculation of defect levels within the band gap is assessed for the As antisite in GaAs, the nature of which is well characterized experimentally. A set of functionals differing by the fr ...
In real-time optimization, enforcing the constraints that need to be active is important for optimality. In fact, it has been established in the context of parametric variations that, if these constraints are not satisfied, the optimality loss would be O($ ...
A method and apparatus for proving and a method and apparatus for verifying that a secret value is a member of a predetermined set of values. The proving mechanism receives a set of signatures which has respective values in the predetermined set signed usi ...