Results 1 - 10 of 864

An Algorithmic Proof Theory for Hypergeometric (ordinary and ``$q$'') Multisum/integral Identities

by Herbert S. Wilf, Doron Zeilberger , 1991
"... this paper we show that these fast algorithms can be extended to the much larger class of multisum terminating hypergeometric (or equivalently, binomial coefficient) identities, to constant term identities of Dyson-Macdonald type, to Mehta-Dyson type integrals, and more generally, to identities inv ..."
Abstract - Cited by 189 (17 self) - Add to MetaCart
involving any (fixed) number of sums and integrals of products of special functions of hypergeometric type. The computergenerated proofs obtained by our algorithms are always short, are often very elegant, and like the single-sum case, sometimes yield the discovery and proof of new identities. We also do

Resilience of the internet to random breakdowns

by Reuven Cohen, Keren Erez, Daniel Ben-avraham, Shlomo Havlin - Physical Review Letters , 2000
"... A common property of many large networks, including the Internet, is that the connectivity of the various nodes follows a scale-free power-law distribution, P(k) = ck −α. We study the stability of such networks with respect to crashes. Our approach, based on percolation theory, leads to a general c ..."
Abstract - Cited by 180 (10 self) - Add to MetaCart
condition for the critical fraction of nodes, pc, that need to be removed before the network disintegrates. We show that for α ≤ 3 the transition never takes place, unless the network is finite. In the special case of the Internet (α ≈ 2.5), we find that it is impressively robust, with pc ≈ 0.999. Recently

The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry

by Niklas Beisert , 2006
"... We investigate the integrable structure of spin chain models with centrally extended su(2|2) and psu(2, 2|4) symmetry. These chains have their origin in the planar AdS/CFT correspondence, but they also contain the one-dimensional Hubbard model as a special case. We begin with an overview of the repr ..."
Abstract - Cited by 143 (6 self) - Add to MetaCart
We investigate the integrable structure of spin chain models with centrally extended su(2|2) and psu(2, 2|4) symmetry. These chains have their origin in the planar AdS/CFT correspondence, but they also contain the one-dimensional Hubbard model as a special case. We begin with an overview

Using Ontologies for Integrated Geographic Information Systems

by F. Fonseca, Max J. Egenhofer, P. Agouris, C. Cmara, Frederico Fonseca, Max J. Egenhofer, Peggy Agouris, Gilberto Câmara , 2002
"... Today, there is a huge amount of data gathered about the Earth, not only from new spatial information systems, but also from new and more sophisticated data collection technologies. This scenario leads to a number of interesting research challenges, such as how to integrate geographic information of ..."
Abstract - Cited by 108 (7 self) - Add to MetaCart
that acts as a system integrator. In this system, an ontology is a component, such as the database, cooperating to fulfill the system's objectives. By browsing through ontologies the users can be provided with information about the embedded knowledge of the system. Special emphasis is given to the case

Tableau Techniques For Querying Information Sources Through Global Schemas

by Gösta Grahne, Alberto O. Mendelzon - In Proc. of the 7th Int. Conf. on Database Theory (ICDT'99), volume 1540 of Lecture Notes in Computer Science , 1999
"... . The foundational homomorphism techniques introduced by Chandra and Merlin for testing containment of conjunctive queries have recently attracted renewed interest due to their central role in information integration applications. We show that generalizations of the classical tableau representation ..."
Abstract - Cited by 126 (7 self) - Add to MetaCart
. The foundational homomorphism techniques introduced by Chandra and Merlin for testing containment of conjunctive queries have recently attracted renewed interest due to their central role in information integration applications. We show that generalizations of the classical tableau representation

Special interests and the gains from political integration

by Daniel Brou, Michele Ruta - Economics and Politics , 2006
"... This paper presents a formal study of economic influence by special-interest groups under political integration and separation. We first show that countries where more groups are organized to lobby gain from political integration on economic grounds. The reason is that a more organized country, unde ..."
Abstract - Cited by 3 (0 self) - Add to MetaCart
This paper presents a formal study of economic influence by special-interest groups under political integration and separation. We first show that countries where more groups are organized to lobby gain from political integration on economic grounds. The reason is that a more organized country

The Riemann Integral Revisited

by Lu R, Chew T. S
"... The Riemann integral is well-known. Here, we study it using an approach that is slightly different from traditional ones. We begin by introducing an integral, originally discovered by Henstock and Kurzweil, and show how the Riemann integral follows as a special case of this integral, which we shall ..."
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The Riemann integral is well-known. Here, we study it using an approach that is slightly different from traditional ones. We begin by introducing an integral, originally discovered by Henstock and Kurzweil, and show how the Riemann integral follows as a special case of this integral, which we shall

Materials for an exploratory theory of the network society.

by Manuel Castells , Anthony Giddens , Alain Touraine , Anthony Smith , Benjamin Barber , Peter Hall , Roger-Pol Droit , Sophie Watson , Frank Webster , Krishan Kumar , David Lyon , Craig Calhoun , Jeffrey Henderson , Ramon Ramos , Jose E Rodrigues-Ibanez , Jose F Tezanos , Mary Kaldor , Stephen Jones , Christopher Freeman - The British Journal of Sociology , 2000
"... ABSTRACT This article aims at proposing some elements for a grounded theor y of the network society. The network society is the social structure characteristic of the Information Age, as tentatively identi ed by empirical, cross-cultural investigation. It permeates most societies in the world, in v ..."
Abstract - Cited by 122 (0 self) - Add to MetaCart
) as in the realm of production. Similarly, technology plays an essential role in framing the relationships of experience: for instance, human reproductive technology frames family relationships and sexuality. Therefore, we must integrate technology, on its own ground, as a speci c layer of the social structure

The hippocampus and space revisited

by Lynn Nadel , 1991
"... The hippocampal formation has long been the focus of intense interest among neuroscientists. The discovery by In the years following publication of the book, most published lesion studies were concerned in some way with the spatial map hypothesis; most often, comparisons with rival hypotheses were ..."
Abstract - Cited by 25 (3 self) - Add to MetaCart
The hippocampal formation has long been the focus of intense interest among neuroscientists. The discovery by In the years following publication of the book, most published lesion studies were concerned in some way with the spatial map hypothesis; most often, comparisons with rival hypotheses

FRACTIONAL INTEGRATION OF CERTAIN SPECIAL FUNCTIONS

by V. B. L. Chaurasia, Vijay Kumar Singhal
"... Abstract. We derive an Eulerian integral and a main theorem based upon the fractional integral operator associated with generalized polynomials given by Srivastava [8. 185, Eq. (7)] and H-function of several complex variables given by Srivastava and Panda [11, p.271, Eq. (4.1)] which provide unifica ..."
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unification and extension of numerous results in the theory of fractional calculus of special functions in one and more variables. Certain interesting sepcial cases (known and new) have also been discussed. 1.
Results 1 - 10 of 864