In the presence of a positive, compactly supported measure on an affine algebraic curve, we relate density polynomials in Lebesgue $$L^2$$ -space to existence analytic bounded point evaluations. Analogues complex plane results Thomson and Brennan are obtained rational curves.

The stepwise solvation-equilibrium model of Stokes and Robinson isused for a description of departures from ideality in ionic solutions. It is shown howto construct a thermodynamically consistent model including solvation effects. Sim-ple expressions are derived for the mean ion solvation number. The model is appliedto strong electrolyte solutions (pure water+salt and mixed aque...

We propose Spherical Structured Feature (SSF) maps to approximate shift and rotation invariant kernels as well as b-order arc-cosine kernels (Cho & Saul, 2009). We construct SSF maps based on the point set on d − 1 dimensional sphere Sd−1. We prove that the inner product of SSF maps are unbiased estimates for above kernels if asymptotically uniformly distributed point set on Sd−1 is given. Acco...

A new density-functional theory is developed for representing the structural and thermodynamic properties of Lennard-Jones fluids by unifying the modified fundamental measure theory for the short-range repulsion and the first-order mean-spherical approximation ~FMSA! via the energy route for the attractive part of the intermolecular potential. This theory significantly improves the conventional...