We consider   bivariate  mean-value interpolationproblem, where the integrals over circles are interpolation data. In this case the problem  is described  over   circles of the same radius and with  centers are on astraight line and it is shown that in this case the interpolation is not correct.

The charts of 27 patients with Kawasaki disease (KD) admitted to Nemazee Hospital in Shiraz from January 1991 to October 1998 were reviewed to identify the results of mean peroxidase index (MPXI) values, a measure of neutrophil staining intensity, obtained by the Technicon HI analyzer (Technicon Instruments Corp., Tarrytown, NY) within the first 10 days of the illness 2 separate groups of ...

in order to evaluate of diversity among new maize hybrids for quantitative and morphological traits, 17 new single cross maize hybrids were studied in shahrood agriculture research station using randomized complete blocks design with four replications. results showed that five independent factors were responsible for significant correlation between 16 measured traits and explained 89.18% of tot...

Abstract: Trivariate barycentric coordinates can be used both to express a point inside a tetrahedron as a convex combination of the four vertices and to linearly interpolate data given at the vertices. In this paper we generalize these coordinates to convex polyhedra and the kernels of star-shaped polyhedra. These coordinates generalize in a natural way a recently constructed set of coordinate...

Evaluating the expectation of a quantum circuit is classically difficult problem known as mean value (QMV). It used to optimize approximate optimization algorithm and other variational eigensolvers. We show that such an can be improved substantially by using approximation rather than exact expectation. Together with efficient classical sampling algorithms, minimal gate count thus improve effici...

We derive several mean value formulae on manifolds, generalizing the classical one for harmonic functions on Euclidean spaces as well as the results of Schoen-Yau, Michael-Simon, etc, on curved Riemannian manifolds. For the heat equation a mean value theorem with respect to ‘heat spheres’ is proved for heat equation with respect to evolving Riemannian metrics via a space-time consideration. Som...

In this paper, we propose two confidence measures (CMs) in speech recognition: one based on acoustic likelihood and the other based on phone duration. For a decoded speech frame aligned to an HMM state, the CM based on acoustic likelihood depends on the relative position of its output likelihood value in the probability distribution of likelihood value in that particular state. The CM of whole ...