Abstract Suppose that red and blue points form independent homogeneous Poisson processes of equal intensity in $${{\mathbb {R}}}^d$$ R d . For a positive (respectively, negative) parameter $$\gamma $$ γ we consider red-blue matchi...

This thesis is devoted to a study of real holomorphy rings in R(x) and elliptic function fields R(x)( √ f(x)), f is a monic polynomial of degree 3 with no multiple roots in C over R and sums of powers in R(x). The objects of study are real valuation rings, real holomorphy rings and real places in the rational function fields R(x) and then investigate their extension to elliptic function fields ...

The ILC Linac Group at SLAC is actively pursuing a broad range of R&D to improve the reliability and reduce the cost of the L-band (1.3 GHz) rf system. Current activities include the development of a Marx-style modulator and a 10 MW sheet-beam klystron, construction of an rf distribution system with adjustable power tap-offs and custom hybrids, tests of cavity coupler components to understand r...

Ample incentives exist for firms to pursue product, service, or process innovations to increase their profitability. In contrast, few incentives exist for firms to pursue innovations that provide social externalities if these are not inherently profitable. This article provides an argument that first generation research and development (R&D), or R&D that does not utilise economies of scale (as ...

a recursive-circulant $g(n; d)$ is defined to be acirculant graph with $n$ vertices and jumps of powers of $d$.$g(n; d)$ is vertex-transitive, and has some strong hamiltonianproperties. $g(n; d)$ has a recursive structure when $n = cd^m$,$1 leq c < d $ [10]. in this paper, we will find the automorphismgroup of some classes of recursive-circulant graphs. in particular, wewill find that the autom...