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Established French loanwords in Sango - A pilot study

This study is an initial attempt to describe the established French loanwords in the lingua franca Sango, which is the main language spoken in the Central African Republic (CAR). It is a second language for the majority of the population of 3 million people for whom a great number of vernaculars serve as first languages. French loanwords in Sango are prompted by the contact between Sango and Frenc

Fourier meets Möbius: fast subset convolution

We present a fast algorithm for the subset convolution problem:given functions f and g defined on the lattice of subsets of ann-element set n, compute their subset convolution f*g, defined for S⊆ N by [ (f * g)(S) = [T ⊆ S] f(T) g(S/T),,]where addition and multiplication is carried out in an arbitrary ring. Via Möbius transform and inversion, our algorithm evaluates the subset convolution in O(n2

Homogenization of a dielectric mixture with anisotropic spheres in anisotropic background

This paper treats the problem of calculating the macroscopic effective properties of dielectric mixtures where both the inclusions and the background medium can be anisotropic. For this homogenization process, the Maxwell Garnett -type approach is used where the inclusions are assumed to be spherical and embedded in a homogeneous background medium. The anisotropy of the background medium has to be