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 ...
Zong,C. - 《Bulletin of the London Mathematical Society》 被引量: 46发表: 1998年 New formulations for the Kissing Number Problem Determining the maximum number of $D$-dimensional spheres of radius $r$ that can be adjacent to a central sphere of radius $r$ is known as the Kissing Numb.....
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...
We refer to this lower bound of total area as the Sphere Covering Inequality. The inequality and its generalizations are applied to a number of open problems related to Moser- Trudinger type inequalities, mean field equations and Onsager vortices, etc, and yield optimal results....
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...
minimizing the total number of spheres that will be created. Initially, no training example is covered, and the sphere that covers the largest number of examples is selected into S. 2.2 Minimum sphere covering by integer programming Given a training dataset D, the set of spheres {S ...
Local covering properties of hyperspaces 2 X 来自 ResearchGate 喜欢 0 阅读量: 4 作者: X Yang 摘要: We discuss some local covering properties of 2 X , and prove that some covering properties are equivalent to local properties in 2 X . 年份: 1994 ...
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,...
curvature; thus the problem of computing the Yamabe invariant may be thought of as a quantitative refinement of the question of whether a given manifold admits positive-scalar-curvature metrics. On the other hand, if M does not admit metrics of positive scalar curvature, the number Y(M) ...
Local Complexity of Delone Sets and Crystallinity This paper characterizes when a Delone set X in R-n is an ideal crystal in terms of restrictions on the number of its local patches of a given size or on t... JC Lagarias,PAB Pleasants - Canadian mathematical bulletin = Bulletin canadien ...