How to safely reopen offices, schools and other public spaces while keeping people six feet apart comes down to a question mathematicians have been studying for centuries. Sphere packing might seem ...

SIAM Journal on Numerical Analysis, Vol. 56, No. 1 (2018), pp. 274-295 (22 pages) In this paper, a numerical solution of partial differential equations on the unit sphere is given by using a kernel ...

In 1948, Hendrik Casimir predicted that a generalized version of van der Waals forces would arise between two metal plates due to quantum fluctuations of the electromagnetic field. These forces become ...

This is a preview. Log in through your library . Abstract We give an extensive discussion of sphere-preserving maps defined on subdomains of Euclidean n-space, and their relationship to Möbius maps ...