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Package Manual Gauss Functionality for homalg
, 2012
"... This document explains the primary uses of the GaussForHomalg package. Included in this manual is a documented list of the most important methods and functions you will need. Copyright © 20072012 by Simon Goertzen This package may be distributed under the terms and conditions of the GNU Public Lice ..."
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This document explains the primary uses of the GaussForHomalg package. Included in this manual is a documented list of the most important methods and functions you will need. Copyright © 20072012 by Simon Goertzen This package may be distributed under the terms and conditions of the GNU Public
A NEW ANALOGUE OF GAUSS ’ FUNCTIONAL EQUATION HIROSHI HARUKI
, 1994
"... ABSTRACT. Gauss established a theory on the functional equation (Gauss ’ functional equation) f (a + v/) f(a,b) (a,b>0), where f R+ R+ R is an unknown function of the above equation. In this paper we treat the functional equation 2 ’a+b) =f(a’b) (a,b>O), where f R+ R+ R is an unknown functio ..."
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ABSTRACT. Gauss established a theory on the functional equation (Gauss ’ functional equation) f (a + v/) f(a,b) (a,b>0), where f R+ R+ R is an unknown function of the above equation. In this paper we treat the functional equation 2 ’a+b) =f(a’b) (a,b>O), where f R+ R+ R is an unknown
A Gauss Function Based Approach for Unbalanced Ontology Matching
 Proc. SIGMOD
, 2009
"... Ontology matching, aiming to obtain semantic correspondences between two ontologies, has played a key role in data exchange, data integration and metadata management. Among numerous matching scenarios, especially the applications cross multiple domains, we observe an important problem, denoted as ..."
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Cited by 7 (2 self)
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as unbalanced ontology matching which requires to find the matches between an ontology describing a local domain knowledge and another ontology covering the information over multiple domains, is not well studied in the community. In this paper, we propose a novel Gauss Function based ontology matching approach
Theory of Elasticity,
, 1951
"... ABSTRACT The knowledge of the insitu stress field in rock masses is in general of crucial importance in various areas of geoengineering, such as mining or civil underground excavations, hydrocarbon extraction, CO2 storage, hydraulic fracture operations, etc. In the context of the Finite Element ..."
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Cited by 710 (1 self)
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of the stress state at each Gauss point is proposed, and in a second one global equilibrium is verified and rebalanced nodal forces are applied as needed. While the reequilibration step is a closed procedure based only on statics, the first estimate of the stress state can be done in a variety of ways
Transformations of Gauss hypergeometric functions
, 2004
"... The paper classifies algebraic transformations of Gauss hypergeometric functions and pullback transformations between hypergeometric differential equations. This classification recovers the classical transformations of degree 2, 3, 4, 6, and finds other transformations of some special classes of th ..."
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Cited by 35 (11 self)
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The paper classifies algebraic transformations of Gauss hypergeometric functions and pullback transformations between hypergeometric differential equations. This classification recovers the classical transformations of degree 2, 3, 4, 6, and finds other transformations of some special classes
Acknowledgements The Gauss
, 2013
"... This document explains the primary uses of the Gauss package. Included is a documented list of the most important methods and functions needed to work with sparse matrices and the algorithms provided by the Gauss package. Copyright © 20072013 by Simon Goertzen This package may be distributed under ..."
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This document explains the primary uses of the Gauss package. Included is a documented list of the most important methods and functions needed to work with sparse matrices and the algorithms provided by the Gauss package. Copyright © 20072013 by Simon Goertzen This package may be distributed under
Gauss sums for function fields
 J. Number Theory
, 1991
"... In this paper, we study the behaviour of "Gauss sums " (introduced in [Thl, Th2]) for function fields of one variable over finite fields. We will show (Section 1) that their prime factorization is analogous to the classical case for the rational function field (at least when the infinite p ..."
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Cited by 5 (3 self)
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In this paper, we study the behaviour of "Gauss sums " (introduced in [Thl, Th2]) for function fields of one variable over finite fields. We will show (Section 1) that their prime factorization is analogous to the classical case for the rational function field (at least when the infinite
Gauss ’ hypergeometric function
, 2009
"... We give a basic introduction to the properties of Gauss ’ hypergeometric functions, with an emphasis on the determination of the monodromy group of the Gaussian hyperegeometric equation. Initially this document started as an informal introduction to Gauss’ hypergeometric functions for those who want ..."
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Cited by 1 (0 self)
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We give a basic introduction to the properties of Gauss ’ hypergeometric functions, with an emphasis on the determination of the monodromy group of the Gaussian hyperegeometric equation. Initially this document started as an informal introduction to Gauss’ hypergeometric functions for those who
© Hindawi Publishing Corp. A GAUSS TYPE FUNCTIONAL EQUATION
, 2000
"... Abstract. Gauss ’ functional equation (used in the study of the arithmeticgeometricmean) is generalized by replacing the arithmetic mean and the geometric mean by two arbitrary means. 2000 Mathematics Subject Classification. Primary 39B22; Secondary 26E60. 1. Introduction. By ..."
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Abstract. Gauss ’ functional equation (used in the study of the arithmeticgeometricmean) is generalized by replacing the arithmetic mean and the geometric mean by two arbitrary means. 2000 Mathematics Subject Classification. Primary 39B22; Secondary 26E60. 1. Introduction. By
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