We characterize those derivations from the convolution algebra ℓ1(ℤ+) to its dual that are weakly compact, providing explicit examples that are not compact. The characterization is combinatorial, in terms of 'translation-finite' subsets of ℤ+, and we investigate how this notion relates to...
In the fall semester of 1957, Ray returned from his sabbatical leave in Norway and immediately posted a page on the student bulletin board asking students to contact him if they were interested in conducting finite element research for the analysis of membrane, plate, shell, and solid structures...
Further examples of the use of Feynman integrals enable the derivation of new properties of hypergeometric series including new analytic continuation formulae for a generalised hypergeometric ... AA Inayat-Hussain - 《Journal of Physics A General Physics》 被引量: 139发表: 1987年 On a new unified...
>>>importgenericmatrix>>>v=genericmatrix.GenericMatrix((3,3))>>>v.SetRow(0,[0.0,-1.0,1.0])>>>v.SetRow(1,[1.0,1.0,1.0])>>>v.SetRow(2,[1.0,1.0,-1.0])>>>v<matrix0.0-1.01.01.01.01.01.01.0-1.0>>>vi=v.Inverse() Then for some real fun, you can try experimenting with generic...
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We examine the problem of determining when a finite Rees quotient of a free monoid has a finite basis for its identities. In [4] and [20] there is shown to be many difficulties associated with this problem but the main examples and theorems there concern the Rees quotients of free monoids...
However, ensuring higher-order finite element functions to be in this set is not obvious for . To obtain convergence rates using Theorem 3.6, we have to discuss the expressions and , which dominate the overall error estimations. First, we consider the case and discuss some arguments similar to...
The response to an impulse is limited in duration; the examples that I have described have finite impulse response. They are FIR filters. In these filters, the impulse response is identical to the set of coefficients. The digital filters that I described on page 202 implement temporal weighting...
With the help of these regularity results, we prove the unconditionalL2-H1\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}...
Thus, we aim to concentrate on rings of order 32 and utilize them as examples. First, we present a constructive approach to finding a generating character χ associated with any singleton local Frobenius ring with invariants p , n , r , t . Given such an χ , determining the MacWilliams...