Abstract We present a systematic way to implement higher order Whitney forms in numerical methods based on discrete exterior calculus. Given simplicial mesh, we first refine the mesh into smaller simplices which can be used define forms. Cochains this refined then interpolated using Hence, when is with calculus, solution expressed as form. algorithms for three required steps: refining solving c...

In this paper I describe the implementation of a probabilistic regression model in BUGS. BUGS is a program that carries out Bayesian inference on statistical problems using a simulation technique known as Gibbs sampling. It is possible to implement surprisingly complex regression models in this environment. I demonstrate the simultaneous inference of an interpolant and an input-dependent noise ...

Given a segment of a conic section in the form of a rational quadratic Bézier curve and any positive odd integer n, a geometric Hermite interpolant, with 2n contacts, counting multiplicity, is presented. This leads to a G spline approximation having an approximation order of O(h). A bound on the Hausdorff error of the Hermite interpolant is provided. Both the interpolation and error bound are e...

Mundici considered the question of whether the interpolant of two propositional formulas of the form F → G can always have a short circuit description, and showed that if this is the case then every problem in NP ∩ co-NP would have polynomial size circuits. In this note we observe further consequences of the interpolant having short circuit descriptions, namely that UP ⊆ P/poly, and that every ...

In this note a local thinning of the data locations is proposed, in order to construct a least squares multiquadric approximant stable and close to the multiquadric interpolant

We show that in dimensions four and higher, to insure a smooth interpolant, additional geometric constraints must be imposed on the generalized Clough–Tocher split introduced in Worsey and Farin (Constr. Approx. 3:99–110, 1987).

Craig interpolation is a well known method of abstraction successfully used in both hardware and software model checking. The logical strength of interpolants can affect the quality of approximations and consequently the performance of the model checkers. Recently, it was observed that for the same resolution proof a complete lattice of interpolants ordered by strength can be derived. Most stat...

A new solution to the multivariate Hermite-Birkhoff interpolation problem is presented. The classical approach to this problem consists in constructing the minimum degree polynomial, which coincides with the prescribed function and derivative values at the sample points. Here the interpolant is represented as a truncated Multipoint Taylor (MT) series. A MT series can be regarded as an extension...

Penelitian ini bertujuan untuk mengetahui dosis terbaik pemberian tepung maggot terhadap eritrosit, hemoglobin, dan hematokrit darah ayam joper betina. dilaksanakan pada Februari – Maret 2022 berlokasi di Peternakan Ayam Joper Daffa, Labuhan Dalem, Kecamatan Tanjung Senang, Kota Bandar Lampung. Pemeriksaan dilakukan Balai Veteriner Lampung, Rancangan percobaan yang digunakan adalah Acak Lengkap...