Jack G. Shaheen 1935–2017

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Lookahead networks by G. JACK LIPOVSKI AMBUJGOYAL and MIROSLAW MALEK

A fail-soft and easily reconfigurable interconnection network is proposed that can function like a bus or like a shift register ring. Its performance as a bus exceeds the performance of an Ethernet, and its performance as a ring is similar to that of a distributed local computer network (DLCN). It can be reconfigured to a sufficient degree to prune out faults or to partition the network into su...

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Jack Polynomials and the Coinvariant Ring of G

We study the coinvariant ring of the complex reflection group G(r, p, n) as a module for the corresponding rational Cherednik algebra H and its generalized graded affine Hecke subalgebra H. We construct a basis consisting of non-symmetric Jack polynomials, and using this basis decompose the coinvariant ring into irreducible modules forH. The basis consists of certain non-symmetric Jack polynomi...

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JACK POLYNOMIALS ATTACHED TO REPRESENTATIONS OF G(r, p, n)

The rational Cherednik algebra H is a certain algebra of differential-reflection operators attached to a complex reflection group. There is a category O of modules for this algebra which is a highest weight category. For the infinite family G(r, p, n) of complex reflection groups, the algebra H contains a subalgebra isomorphic to a (generalized) degenerate affine Hecke algebra, and our strategy...

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An Identity of Jack Polynomials

In this work we give an alterative proof of one of basic properties of zonal polynomials and generalised it for Jack polynomials

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Jack Horner

assess their own thought processes in an internal dialogue similar to reasoned debate among group members; and to represent features of the world, not just as your perspective or my perspective, but as objectively true, as facts. Evolutionary psychology is a crowded market. There’s no shortage of books telling a story about how chimp-like ancestors turned into modern humans. A Natural History o...

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ژورنال

عنوان ژورنال: Review of Middle East Studies

سال: 2018

ISSN: 2151-3481,2329-3225

DOI: 10.1017/rms.2018.21