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標題: Titlebook: Hypergeometric Summation; An Algorithmic Appro Wolfram Koepf Textbook 2014Latest edition Springer-Verlag London 2014 Algorithmic Summation. [打印本頁]

作者: 夾子    時間: 2025-3-21 16:04
書目名稱Hypergeometric Summation影響因子(影響力)




書目名稱Hypergeometric Summation影響因子(影響力)學科排名




書目名稱Hypergeometric Summation網(wǎng)絡公開度




書目名稱Hypergeometric Summation網(wǎng)絡公開度學科排名




書目名稱Hypergeometric Summation被引頻次




書目名稱Hypergeometric Summation被引頻次學科排名




書目名稱Hypergeometric Summation年度引用




書目名稱Hypergeometric Summation年度引用學科排名




書目名稱Hypergeometric Summation讀者反饋




書目名稱Hypergeometric Summation讀者反饋學科排名





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Wolfram Koepfraduate students or faculty interested in how signals and systems techniques can be applied to living systems. The biological nature of the examples allows for systems thinking to be applied to electrical, mechanical, fluid, chemical, thermal and even optical systems. Each chapter focuses on a topic
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Wolfram Koepfraduate students or faculty interested in how signals and systems techniques can be applied to living systems. The biological nature of the examples allows for systems thinking to be applied to electrical, mechanical, fluid, chemical, thermal and even optical systems. Each chapter focuses on a topic
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Wolfram Koepf tumors. Our aim is to understand the kinetics of thermal lesion growth in kidney tissue exposed to RF energy by taking into account dynamic time-temperature changes in electrical properties of multiple tissues (i.e. kidney, surrounding fat, muscle). We present a computer model designed to calculate
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Wolfram Koepf deformations on soft tissues, they modify the boundary conditions of the models and will mainly modify their behavior. Yet, most recent work has focused on the more precise modeling of soft tissues while improving efficiency; but this effort is ruined if boundary conditions are ill-defined. In this
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Wolfram Koepf, Switzerland, on July 10-11, 2006. The manuscripts are organized around three thematic sections which cover several of the major aspects of our rapidly growing ?eld: anatomical modeling and tissue properties, simulation of biophysical processes, as well as systems and applications. The symposium pr
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https://doi.org/10.1007/978-1-4471-6464-7Algorithmic Summation; Antidifference; Basic Hypergeometric Series; Differential Equation; Fasenmyer Alg
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,Petkov?ek’s and van Hoeij’s Algorithm,if the order of the resulting recurrence equation is one, or if the latter contains only two shifts . and . for some ., then one finds a hypergeometric term representation for the sum under consideration using . initial values. In this chapter we give algorithms which find all hypergeometric term solutions of a holonomic recurrence equation.
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Hypergeometric Summation978-1-4471-6464-7Series ISSN 0172-5939 Series E-ISSN 2191-6675
作者: 堅毅    時間: 2025-3-24 21:39
The Gamma Function,Apart from the elementary transcendental functions such as the exponential and trigonometric functions and their inverses, the Gamma function is probably the most important transcendental function. It was defined by Euler to interpolate the factorials at noninteger arguments.
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Hypergeometric Identities,In this chapter we deal with hypergeometric identities.
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Hypergeometric Database,In this chapter we list some of the major hypergeometric identities. Note that most of these do not require any variables to have integer values. We give examples showing how this database can be used to generate binomial identities.
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The Wilf-Zeilberger Method,In this chapter, we study the connection between Gosper’s algorithm and definite sums.Firstly, we give a direct application of Gosper’s algorithm to definite summation. The application of Gosper’s algorithm to a modified input can prove definite hypergeometric identities.
作者: 繼承人    時間: 2025-3-25 20:32
,Zeilberger’s Algorithm,In this chapter, we introduce Zeilberger’s extension of Gosper’s algorithm, using which one can not only prove hypergeometric identities but also sum definite series in many cases, if they represent hypergeometric terms.
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Extensions of the Algorithms,In this chapter, we extend Gosper’s, Wilf-Zeilberger’s and Zeilberger’s methods to accept rational-linear inputs rather than only integer-linear ones. For such an input . is not always rational, so that Gosper’s algorithm may not apply.
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Hyperexponential Antiderivatives,In this chapter, we consider a continuous counterpart of Gosper’s algorithm. The appropriate question is to find a hyperexponential term antiderivative .(.) of a given .(.) whenever one exists.
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Holonomic Equations for Integrals,Now we are ready to consider . of hyperexponential terms. If the corresponding indefinite integral is a hyperexponential term again, then the continuous Gosper algorithm applies, and definite integration is trivial.
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Wolfram Koepfe digital realm. Although some derivations appear, the focus is on the concepts and how to apply them. Throughout the text, systems vocabulary is introduced which will allow the reader to read more advanced literature and communicate with scientist and engineers. Homework and Matlab simulation exerc
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Wolfram Koepften contribution of equal length and were presented at the meeting in single track. The geographical bre- down of the di?erent institutions presenting their res978-3-540-36009-4978-3-540-36010-0Series ISSN 0302-9743 Series E-ISSN 1611-3349
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Textbook 2014Latest edition algebra system Maple?..The algorithms of Fasenmyer, Gosper, Zeilberger, Petkov?ek and van Hoeij for hypergeometric summation and recurrence equations, efficient multivariate summation as well as .q.-analogues of the above algorithms are covered. Similar algorithms concerning differential equations
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0178-5354 current interest: routing in communications networks, freew.Neural Approximations for Optimal Control and Decision.?provides a comprehensive methodology for the approximate solution of functional optimization problems using neural networks and other nonlinear approximators where the use of traditio
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Graft-Verses-Leukemia: Allosensitization of MHC Compatible Donors Induces Antileukemic Reactivity Wiis little convincing evidence, however, that the immunocompetent cells or their progeny in marrow transplants from HLA compatible donors had an adoptive immunotherapeutic effect and caused a graft-versus-leukemia (GVL) reaction [5, 22, 30, 34, 35, 40].
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Gedanken über das Ich und das Es im 1. Lebensjahrrdentlich bedeutsame Vorgang dann erfolgt, wenn das Kind zu bestimmten affektiv-kognitiven Leistungen im Bereich der Abbildungsf?higkeit. in der Lage ist. Ich werde diesen Proze? beschreiben, wenn ich das 2. Lebensjahr bespreche. Die Vorstellungsf?higkeit führt zu einem Fortschritt bei der Objektivierung der ?u?eren Umwelt.
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Mark M. Kockx M.D., Ph.D.ience and engineering.Is written to meet the needs of a textThis book introduces the concepts and methodologies related to the modelling of the complex phenomena occurring in materials processing. After a short reminder of conservation laws and constitutive relationships, the authors introduce the m
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