AbMnwt. Let P = (pi 1 i E I} and 8 = {qi 1 i E I} be sets of partis! functions with the same index set Z. We say that Cp is an interpolating function (from P to 0) if @(pi) = qi for each i. We give simple necessary and sufficient conditions for the existence of a monotone interpolating functional. Wti show that these same conditions are necessary and sufficient for the existence of a continuous...

In the original presentation of quantum adiabatic search (QuAdS) the time-dependent search Hamiltonian linearly interpolates from initial to final Hamiltonian. Farhi and coworkers have suggested (quant-ph/0208135) that QuAdS performance might benefit from evolving the search Hamiltonian along paths different from the linearly interpolating one. In this paper QuAdS is numerically simulated to st...

This paper is concerned with the problem of existence of monotone and/or convex splines, having degree n and order of continuity k, which interpolate to a set of data at the knots. The interpolating splines are obtained by using Bernstein polynomials of suitable continuous piecewise linear functions; they satisfy the inequality k < n — k. The theorems presented here are useful in developing alg...

The question of adaptive mesh generation for approximation by splines has been studied for a number of years by various authors. The results have numerous applications in computational and discrete geometry, computer aided geometric design, finite element methods for numerical solutions of partial differential equations, image processing, and mesh generation for computer graphics, among others....

Non-uniform multivariate subdivision schemes are constructed, which generate limit functions interpolating some of the initial control points. Our schemes diier from the known interpolatory subdivision schemes, in that only some of the original control points are interpolated, and not the control points in every level. These new schemes are combinations of a non-interpolatory schemes with diier...

New quantal states which interpolate between the coherent states of the Heisenberg-Weyl (W3) and SU(1,1) algebras are introduced. The interpolating states are obtained as the coherent states of a closed and symmetric algebra which interpolates between the W3 and SU(1,1) algebras. The overcompleteness of the interpolating coherent states is established. Differential operator representations in s...

A set of interpolating functions of the type f(v) = { sin [ π 2 v ] / ( π 2v )}n is analyzed in the context of the smoothed-particle hydrodynamics (SPH) technique. The behaviour of these kernels for several values of the parameter n has been studied either analytically as well as numerically in connection with several tests carried out in two dimensions. The main advantage of this kernel relies...

Ternary subdivision schemes compare favorably with their binary analogues because they are able to generate limit functions with the same (or higher) smoothness but smaller support. In this work we consider the two issues of local tension control and conics reproduction in univariate interpolating ternary refinements. We show that both these features can be included in a unique interpolating 4-...

Results are reported for the first calculation of the low-lying spin-1/2 odd-parity octet baryon masses using O(a) improved gluon and fermion actions. Methods for removing even-parity ground-state contaminations from the two-point correlation functions at zero and finite momenta are outlined. We investigate the properties of two odd-parity interpolating fields based on the established interpola...

Structural discrete choice dynamic programming models have been shown to be a valuable tool for analyzing a wide range of economic behavior. A major limitation on the complexity and applicability of these models is the computational burden associated with computing the high dimensional integrals that typically characterize an agent’s decision rules. This paper develops a regression based approa...