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List of equations List of appendices Abbreviations
"... 1.1 Motivation and background of the study 1 ..."
The Askeyscheme of hypergeometric orthogonal polynomials and its qanalogue
, 1998
"... We list the socalled Askeyscheme of hypergeometric orthogonal polynomials and we give a qanalogue of this scheme containing basic hypergeometric orthogonal polynomials. In chapter 1 we give the definition, the orthogonality relation, the three term recurrence relation, the second order differenti ..."
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Cited by 578 (6 self)
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differential or difference equation, the forward and backward shift operator, the Rodriguestype formula and generating functions of all classes of orthogonal polynomials in this scheme. In chapter 2 we give the limit relations between different classes of orthogonal polynomials listed in the Askey
IESO Charge Types and Equations LIST
"... This document enumerates the various charge types and equations used in the IESO settlements process for IESOAdministered markets that are subject to a functional deferral, and those that are NOT subject to a functional deferral. Public Disclaimer The posting of documents on this Web site is done f ..."
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This document enumerates the various charge types and equations used in the IESO settlements process for IESOAdministered markets that are subject to a functional deferral, and those that are NOT subject to a functional deferral. Public Disclaimer The posting of documents on this Web site is done
IESO Charge Types and Equations LIST
"... This document enumerates the various charge types and equations used in the IESO settlements process for IESOAdministered markets that are subject to a functional deferral, and those that are NOT subject to a functional deferral. Public Disclaimer The posting of documents on this Web site is done f ..."
Abstract
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This document enumerates the various charge types and equations used in the IESO settlements process for IESOAdministered markets that are subject to a functional deferral, and those that are NOT subject to a functional deferral. Public Disclaimer The posting of documents on this Web site is done
Scalable molecular dynamics with NAMD.
 J Comput Chem
, 2005
"... Abstract: NAMD is a parallel molecular dynamics code designed for highperformance simulation of large biomolecular systems. NAMD scales to hundreds of processors on highend parallel platforms, as well as tens of processors on lowcost commodity clusters, and also runs on individual desktop and la ..."
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Cited by 849 (63 self)
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and laptop computers. NAMD works with AMBER and CHARMM potential functions, parameters, and file formats. This article, directed to novices as well as experts, first introduces concepts and methods used in the NAMD program, describing the classical molecular dynamics force field, equations of motion
OrderSorted Algebra I: Equational Deduction for Multiple Inheritance, Overloading, Exceptions and Partial Operations
 Theoretical Computer Science
, 1992
"... This paper generalizes manysorted algebra (hereafter, MSA) to ordersorted algebra (hereafter, OSA) by allowing a partial ordering relation on the set of sorts. This supports abstract data types with multiple inheritance (in roughly the sense of objectoriented programming), several forms of pol ..."
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Cited by 231 (36 self)
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of polymorphism and overloading, partial operations (as total on equationally defined subsorts), exception handling, and an operational semantics based on term rewriting. We give the basic algebraic constructions for OSA, including quotient, image, product and term algebra, and we prove their basic properties
Realworld Data is Dirty: Data Cleansing and The Merge/Purge Problem
 DATA MINING AND KNOWLEDGE DISCOVERY
, 1998
"... The problem of merging multiple databases of information about common entities is frequently encountered in KDD and decision support applications in large commercial and government organizations. The problem we study is often called the Merge/Purge problem and is difficult to solve both in scale and ..."
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Cited by 250 (0 self)
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and accuracy. Large repositories of data typically have numerous duplicate information entries about the same entities that are difficult to cull together without an intelligent "equational theory" that identifies equivalent items by a complex, domaindependent matching process. We have developed a
Soliton Equations and Their AlgebroGeometric Solutions. Volume I
 1+1)Dimensional Continuous Models., Cambridge Studies in Advanced Mathematics
, 2003
"... “Integrable Systems ” has become a field of mathematics in relatively recent times (triggering frequent additions to the Mathematics Subject Classification), one with the odd distinction that a definition of integrability is still lacking. The reason for this elusiveness and also for much of the fas ..."
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Cited by 134 (45 self)
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properties were identified, beginning in the 1960s; there is still no way to predict whether your equation will be integrable, but those that are seem to enjoy an extraordinarily beautiful mathematical structure. Uncovering such structure in the attempt at finding defining properties of, and tests for
list of equation names;
"... LSQ is used to obtain least squares or minimum distance estimates of one or more linear or nonlinear equations. These estimates may optionally be instrumental variables estimates as well. LSQ can compute nonlinear least squares, nonlinear two stage least squares or instrumental variables, nonlinear ..."
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LSQ is used to obtain least squares or minimum distance estimates of one or more linear or nonlinear equations. These estimates may optionally be instrumental variables estimates as well. LSQ can compute nonlinear least squares, nonlinear two stage least squares or instrumental variables, nonlinear
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1,960