09 PETER HUMPHRIES_ SMALL SCALE EQUIDISTRIBUTION OF LATTICE POINTS ON THE SPHERE 56:47 TOBIAS FINIS_ WEYL'S LAW WITH REMAINDER TERM AND HECKE OPERATORS 53:38 RIZWANUR KHAN_ NON-VANISHING OF DIRICHLET $L$-FUNCTIONS 1:03:08 ABHISHEK SAHA_ THE MANIN CONSTANT AND $P$-ADIC BOUNDS ON ...
Given a sphere of any radius r in an n -dimensional Euclidean space, we study the coverings of this sphere with solid spheres of radius one. Our goal is to design a covering of the lowest covering density , which defines the average number of solid spheres covering a point in a bigger ...
A basic problem of finite packing and covering is to determine, for a given number of k unit balls in Euclidean d -space E d , (1) the minimal volume of all convex bodies into which the k balls can be packed and (2) the maximal volume of all convex bodies which can be covered by...
1974, Journal of Number Theory Stable and well-rounded lattices in diagonal orbits 2019, Israel Journal of Mathematics Counterexamples to a conjecture of woods 2017, Duke Mathematical Journal On conjectures of Minkowski and Woods for n = 8 2011, Acta Arithmetica Minkowskfs conjecture, well-rounded...
Covering an area of 972,000 square kilometers, Greenland National Park is one of the largest parks in the world, including both the highest parts of the Northern Hcisphere’s largest ice cap and the world’s northernmost land area. For thousands of years, various Inuit (因纽特人的) culture...
Lower asymptotic bound on the number of linear code words in a sphere of given radius in F An upper bound is also derived on the covering radius of linear code. An upper estimate is obtained on the proportion of codes for which these bounds ... VM Blinovskii 被引量: 58发表: 1987年 ...
Providence RI 02912 ABSTRACT In this paper we present an integer programming formulation of the minimumsphere covering problem that seeks to construct a minimum number of spheres to represent the training data. Using soft threshold functions, we further derive a linear programming problem whose solution...
It is thus evident from Wecken's theorem that N(f) is less than or equal to the number of terms on the right-hand side, that is, to the cardinality of R(fπ). That number, which may be infinite, is called the Reidemeister number of f and denoted R(f). When R(f) is finite,...
You can start by controlling the number of hours that they can use the device throughout the day. It is a good idea that they can only use the device for an hour every day. This way, they don’t rely on these things.Around The Web Honda and Nissan plan major merger focused on ‘...
The paper considers a continuous problem of optimal c-sphere covering of a compact set from 惟 from E n with a given number of spheres of minimum radius and a problem of covering a set with the minimum number of spheres of given radius. Algorithms are proposed and substantiated to solve ...