d-dimensional simplexIn this paper an asymptotic formula is given for the Lebesgue constants generated by the anisotropically dilated d-dimensional simplex. Contrary to many preceding results established only in dimension two, the obtained ones are proved in any dimension. Also, the "rational" and ...
Our proof utilizes the fact that the polar sine satisfies “a relaxed simplex inequality of two controlling terms with high Ahlfors probability”. We quantify this notion in a somewhat general setting as follows. For a symmetric function f on H d+1 , an integer p, 1 ≤ p ≤ d, and...
On d-dimensional d-semimetrics and simplex-type inequalities for high-dimensional sine func- tions. To appear in Journal of Approximation Theory, see also http://front.math.ucdavis.edu/0805.1430.G. Lerman, J.T. Whitehouse, On d-dimensional d-semimetrics and simplex-type inequalities for ...
报告地点: 教二楼323报告厅 abstract 摘要 it is quite common to encounter compositional data in modern data sciences. most existing statistical methods for compositional data analysis are based on a log-ratio transformation that moves composit...
Then, the molecular mass property is computed by appropriately summing up the mass property corresponding to each simplex. The time complexity of the proposed algorithm is O(m) in the worst case where m is the number of simplexes in the beta-complex that can be efficiently computed from the ...
Numerical integrationCubatureSimplexIn this paper, we consider the problem of the approximation of the integral of a function f over a d-dimensional simplex S of \\(\\mathbb {R}^{d}\\) by some quadrature formulas which use only the functional and derivative values of f on the boundary of...
d-dimensional simplex fractalcritical dimensionrecursion relations/ A0555 Fractals A0540 Fluctuation phenomena, random processes, and Brownian motion A0550 Lattice theory and statisticsIsing problemsBy setting up the relevant recursion relations and by doing exact and approximate calculations, we show that ...
Integral over the d-dimensional simplex. Analytical properties of the integrand function on the complex plane. The integral solution in the form of the quotient of two determinants.doi:10.1016/j.cpc.2011.08.006S. KaprzykESComputer Physics Communications...
Besides the variant joint S/C decoders presented, we also show that the available sets of autocorrelations consist of a convex volume, and its structure can be found using the Simplex algorithm.doi:doi:http://dx.doi.org/Ido KanterHaggai Kfir...
Using the equivalence relation between K-functional and moduli of smoothness, methods of partition function and induction, we establish a strong direct theorem and an inverse theorem of weak type of weighted approximation for d-dimensional Bernstein operators on a simplex in this paper....