The separable transfer

The separable transfer

The goal of this paper is to give an approach to constructing transfer homomorphisms along such maps π for abelian sheaves and presheaves of spectra which holds generally for the standard geometric topologies on the category Sch|S of schemes of finite type over S, satisfies the usual properties, and specializes to known phenomena. The construction displayed here, called the separable transfer, ...

The separable transfer ( preliminary

Magnetically separable phase-transfer catalysts.

Magnetic nanoparticles-supported quaternary ammonium and phosphonium salts were prepared and evaluated as phase-transfer catalysts. Some of them exhibited good activities that were comparable to that of tetra-n-butylammonium iodide. The catalysts were readily separated using an external magnet and reusable without significant loss of their catalytic efficiency.

Solution of the Radiative Transfer Equation in the Separable Approximation

A method for the fast and accurate solution of the radiative transfer equation in plane-parallel media with coherent isotropic scattering is presented. This largely analytical approach uses the formalism of meromorphic functions in order to obtain the total solution, i.e. the angle and depth variation of the radiation field. A discretization of space and angle coordinates is not required. For t...

Separable Partitions

An ordered partition of a set of n points in the d dimensional Euclidean space is called a separable partition if the convex hulls of the parts are pairwise disjoint. For each fixed p and d we determine the maximum possible number rp,d(n) of separable partitions into p parts of n points in real d-space up to a constant factor. Of particular interest are the values rp,d(n) = Θ(nd( p 2)) for ever...