Let G (α,β) λ be the eigenfunctions of the Dunkl–Cherednik operator T on R. In this paper we express the product G (α,β) λ (x)G (α,β) λ (y) as an integral in terms of G (α,β) λ (z) with an explicit kernel. In general this kernel is not positive. Furthermore, by taking the so–called rational limit, we recover the product formula of M. Rösler for the Dunkl kernel. We then define and study a convo...

Michael Ghil, Mickaël D. Chekroun and Dmitri Kondrashov Dept. of Atmospheric & Oceanic Sciences and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, CA 603 Charles E. Young Dr., East, 3845 Slichter Hall Los Angeles, CA 90095-1567 Ghil phone: (310) 825-1038 fax: (310) 206-5219 email:[email protected] Chekroun phone: (310) 825-1038 fax: (310) 206-5219 email:...

Hidden Markov Models need a large set of parameters which are induced from a text-corpus. The parameters should be optimal in the sense that resulting models assign high probabilities to seen training data. There are several methods to estimate model parameters. The first one is to use each word as a state and estimate the probabilities using the relative frequencies. The second method is a var...

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Black soldier fly (BSF) is becoming popular in the last few years. Several types of organic substrate have been tested as for BSF larvae (BSFL) and resulted valuable nutritional content BSFL. The purpose this study was to compare content, fatty acid profile, growth profile BSFL grown between fermented Palm Kernel Meal (PKM) cow manure (CM). In total 3000 g 7-day old larva (initial weight 0.044 ...

The black walnut (Juglans nigra L.) is an underutilized fruit in the mid-hills of Nepal. However, the physico-chemical properties of Nepalese black walnut are almost unavailable in the literature. Four walnut growing districts namely Baitadi, Dadeldhura, Jumla and East Rukum selected and the black walnut collected at commercial maturity from the local markets. The physical properties w...

Pecan [Carya illinoinensis (Wangenh.) K. Koch] trees developed necrotic areas in the leaves late in the growing season. July samples indicated that leaf P (0.114% DW) and K (0.62% DW) were low, but other elements were within accepted sufficiency ranges. Relationships between leaf P and K concentrations with nut quality and return bloom were determined. Trees were rated for leaf necrosis 1 Octob...

an experiment with 240 one-day-old lohman male broilers was conducted to investigate the effects of different levels of palm kernel meal supplemented diet with/without enzyme on performance and lactic acid bacteria population of ceca. birds were distributed in 20 experimental units and data were analyzed in a complete randomized design with 2x2 arrangement plus a control diet.the levels of palm...

A graph G = (V,E) is called equistable if there exist a positive integer t and a weight function w : V → N such that S ⊆ V is a maximal stable set of G if and only if w(S) = t. Such a function w is called an equistable function of G. For a positive integer k, a graph G = (V,E) is said to be k-equistable if it admits an equistable function which is bounded by k. We prove that the problem of reco...