The classical Littlewood-Richardson rule [LR] describes the structure constants obtained when the cup product of two Schubert classes in the cohomology ring of a complex Grassmannian is written as a linear combination of Schubert classes. It also gives a rule for decomposing the tensor product of two irreducible polynomial representations of the general linear group into irreducibles, or equiva...

Simulation methods, in particular Efron's (1979) bootstrap, are being applied more and more widely in statistical inference. Given data, (X1,* ,Xn), distributed according to P belonging to a hypothesized model P the basic goal is to estimate the distribution Lp of a function Tn (X1, * *Xn,P). The bootstrap presupposes the existence of an estimate P (X1, Xn) and consists of estimating Lp by the ...

Mackie, C., Richardson, M. C. & Schulster, D. (1972) FEES Left. 23, 345-348 McIlhinney, R. A. J. & Schulster, D. (1973) J. Endocrinol. 59, 26-27 McIlhinney, R. A. J. & Schulster, D. (1974) Endocrinology 94, 1259-1264 Pegg, A. E. & Williams-Ashman, H. G. (1968) Biochem. J. 108, 533-539 Richardson, M. C. & Schulster, D. (1970) Biochem. J. 120, 2 5 ~ Richardson, M. C. & Schulster, D. (1972) J. End...

This article attributes one of the three “first” editions Leviathan to London printer John Richardson (fl. 1673–1703), revising Noel Malcolm’s attribution a different in recent Clarendon Edition Leviathan. We lay out mystery Leviathan’s so-called “Ornaments” edition and use evidence from damaged type pieces say why we attribute its printing Richardson. then give short sketch Richardson’s life c...

Alexandre F. Fonseca,1,* Tammie Borders,2,† Ray H. Baughman,3,‡ and Kyeongjae Cho1,4,§ 1Department of Materials Science and Engineering, The University of Texas at Dallas, Richardson, Texas 75080, USA 2Department of Chemistry, University of North Texas, Denton, Texas 76203, USA 3The Alan G. MacDiarmid NanoTech Institute and the Department of Chemistry, The University of Texas at Dallas, Richard...

Abstract   In the present study, the effects of wavy wall’s properties on mixed convection heat transfer of Water-Al2O3 Nanofluid in a lid-driven cavity are investigated using the Lattice Boltzmann Method. The Boundary Fitting Method with second order accuracy at both velocity and temperature fields is used to simulate the curved boundaries in the LBM. The problem is investigated for different ...

We give a positive equivariant Littlewood-Richardson rule also discovered independently by Molev. Our proof generalizes a proof by Stembridge of the ordinary Littlewood-Richardson rule. We describe a weight-preserving bijection between our indexing tableaux and the Knutson-Tao puzzles.

Wolfram Tempel, Zhi-Jie (James) Liu, Florian D. Schubot, Ashit Shah, Michael V. Weinberg, Francis E. Jenney, Jr., W. Bryan Arendall, III, Michael W. W. Adams, Jane S. Richardson, David C. Richardson, John P. Rose,* and Bi-Cheng Wang Southeast Collaboratory for Structural Genomics, Department of Biochemistry and Molecular Biology, University of Georgia, Athens, Georgia Department of Biochemistry...

In microscopy, shot noise dominates image formation, which can be modeled as a Poisson process. The Richardson-Lucy method tends to converge slowly for large problems and is not flexible to the addition of nondifferentiable priors. In this project, proximal algorithms like ADMM and Chambolle-Pock are applied to three dimensional deconvolution and are shown to converge faster than Richardson-Lucy.