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Dongming Wang — Elimination Practice: Software Tools and Applications
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Название: Elimination Practice: Software Tools and ApplicationsАвтор: Dongming Wang Аннотация: With a software library included, this book provides an elementary introduction to polynomial elimination in practice. The library Epsilon, implemented in Maple and Java, contains more than 70 well-documented functions for symbolic elimination and decomposition with polynomial systems and geometric reasoning. The book presents the functionality, implementation, and performance of Epsilon and demonstrates the usefulness of the elimination tool by a number of selected applications, together with many examples and illustrations. The reader will find Epsilon an efficient tool, applicable to a wide range of problems in science, engineering, and industry, and this book an accessible exposition and a valuable reference for elimination theory, methods, and practice.
Язык: Рубрика: Руководства по программному обеспечению /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2004Количество страниц: 232Добавлена в каталог: 31.10.2010Операции: Положить на полку |
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Предметный указатель
Lorenz, E. 107 Lue, X.-L. 151 Macaulay resultant 90 Mannheim theorem 194 Markelov, S. 132 141 Martin, R.R. 152 Medial set 31 42 Menelaus theorem 81 Messollen, M.W. 83 Minimair, M. 90 Minimal 174 Miquel theorem 81 Modified characteristic set 30 42 Modified differential characteristic set 37 Modified differential quasi-characteristic set 37 Modified differential weak-characteristic set 37 Modified quasi-characteristic set 30 Modified weak-characteristic set 30 Module 17 50 Module, charsets 29 Module, dcharsets 35 Module, dtrisys 55 Module, epsilon 18 Module, geother 66 Module, miscel 91 Module, sisys 57 Module, trisys 51 Moreno Maza, M. 84 Morley theorem 81 120 127 Morley — Wu theorem 81 Morley, F. 127 Mourrain, B. 90 Nemytskii, V.V. 190 Newton law 199 Noda, M.-T. 84 Noonburg, V.W. 111 normal 16 42 92 Normal form 118 Nutbourne, A.W. 152 Offset 162 Order 35 Ordinary 19 35 194 Orthocenter theorem 81 Pappus line 142 Pappus theorem 81 142 PARAMETER 110 118 Pascal conic 81 Pascal theorem 81 Pearson, J.M. 192 plex 118 Polynomial set 18 Polynomial set, differential 36 Polynomial system 18 Polynomial system, differential 36 Poncelet theorem 81 136 Primary ideal 24 33 Prime basis 173 Principal curvature 198 Projection 51 Projection, full 52 Projection, property 16 52 55 Projection, strong 97 Pseudo-division 40 Pseudo-remainder 6 29 Pseudo-remainder, differential 36 f Ptolemy theorem 81 Qin-Heron formula 135 139 Quasi-ascending set 19 Quasi-ascending set, differential 36 Quasi-basic set 118 Quasi-characteristic set 30 Quasi-characteristic set, 20 Quasi-characteristic set, differential 36 f Quasi-characteristic set, modified 30 Quasi-irreducible 32 38 53 56 58 Quasi-irreducible characteristic series 32 Quasi-irreducible differential characteristic series 38 Quasi-irreducible differential triangular series 56 Quasi-irreducible differential weak-characteristic series 38 Quasi-irreducible triangular series 53 58 Quasi-irreducible weak-characteristic series 32 Quasi-offset 162 Quasilinear 183 Rank 35 Reduced 29 Regular 16 198 Regular series 21 Regular system 21 Rescaling continuity 167 Resultant 1 82 89 Ritt, J.F. 82 Russian killer 132 Sadovskii, A.P. 192 Saharnikov condition 189 Saharnikov system 186 Saharnikov, N.A. 186 Saturation 172 Saturation basis 173 Saxena, T. 89 Schell theorem 194 Secant theorem 81 Second fundamental form 197 Separant 35 Serveur 87 Shimoyama, T. 83 Sibirskii, K.S. 189 SIMPLE 16 Simple series 22 Simple system 21 SIMPLER 125 155 172 simplicity 155 Simson theorem 81 Simsonline 81 Singularity ideal 180 Smooth contact 167 Software, 15 f Software, Aldor 84 Software, axiom 84 Software, CASA 85 Software, char sets 29 63 Software, CharSets 15 28 50 78 83 Software, CoCoA 85 Software, dcharsets 35 48 194 Software, diffalg 194 198 Software, dtrisys 55 194 Software, FGb 82 86 Software, Fortran 82 Software, Gb 82 86 158 165 Software, geother 66 Software, GEX 83 Software, Ghostview 73 Software, Groebner 3 23 70 78 85 88 Software, HTML 26 66 72 Software, Java 15 Software, Java applet 72 Software, LinearAlgebra 89 Software, Lisp 82 Software, Macaulay 2 83 Software, macsyma 82 84 Software, Magma 85 Software, maple 2 15 25 72 78 82 85 Software, mathematica 85 Software, matlab 91 Software, Maxima 84 Software, miscel 89 91 Software, mupad 85 Software, Netscape 73 Software, PostScript 66 73 Software, Reduce 83 Software, Risa/Asir 83 Software, SACLIB 82 Software, Scratchpad II 82 Software, Singular 83 Software, Singular-libfac 83 Software, sisys 57 63 Software, trisys 51 55 63 solvable 95 Stanger, D. 84 Steiner theorem 81 120 142 Steiner — Lehmus theorem 81 131 149 Steiner — Wu theorem 81 Stepanov, V.V. 190 Strong projection property 97 Subresultant 89 91 Sylvester matrix 2 Sylvester resultant 2 Sylvester, J.J. 89 Symbol, basset 30 f 34 36 46f Symbol, Biarc 154 Symbol, BiarcA 154 Symbol, charsetn 30 f 34 36 46 Symbol, d-prem 36 f Symbol, d-Zero 24 36 Symbol, degree 29 Symbol, diss 37 f 40 Symbol, DRL 87 Symbol, drs 37 f Symbol, dTheorem 76 Symbol, elim 86 Symbol, els 19 35 Symbol, false 22 43 54 57 Symbol, fast 87 Symbol, filename 86 Symbol, grlexA 198 Symbol, g_obj 77 Symbol, Ideal 22 f 87 Symbol, ini 19 35 Symbol, iniset 22 29 34 93 Symbol, isotropic 76 78 Symbol, Kapur 81 Symbol, KS 81 Symbol, latex 40 Symbol, lcoeff 41 Symbol, lead 35 Symbol, line 76 Symbol, list 87 Symbol, lvar 29 Symbol, online 76 78 Symbol, ord 35 Symbol, PB 173 Symbol, Proj 51 Symbol, qbasset 30 36 46 Symbol, qcharsetn 30 f 36 46 Symbol, rank 35 Symbol, remset 20 29 Symbol, resultant 2 89 Symbol, sat 172 Symbol, sep 35 Symbol, split 86 Symbol, tdeg 44 Symbol, term 44 Symbol, Theorem 76 118 Symbol, triset 30 42 46f Symbol, trisetc 30 f 34 42 46 Symbol, true 22 53 55 57 61 98 111 Symbol, verbose 86 Symbol, wbasset 30 f 36 46 Symbol, wcharsetn 30 f 36 46 Symbol, Zero 10 19 Symbol, _contracted_ 43 Symbol, _factorized_ 54f 61 111 Symbol, _reduced_ 54 f 62 98 Thebault conjecture 120 Thebault — Taylor theorem 81 130 Torsion 194 Triangular 3 19 22 Triangular series 20 52 57 Triangular series, differential 24 55 Triangular series, fine 20 Triangular series, irreducible 22 59 Triangular series, quasi-irreducible 53 58 Triangular set 3 19 28 82 Triangular set, differential 36 Triangular set, fine 20 Triangular set, irreducible 22 Triangular system 20 Triangular system, differential 24 55 Triangular system, fine 20 True subvariety 23 Umbilic 198 Universally 123 Unmixed 173 Variety 23 Variety, irreducible 33 59 Wang, D.-K. 170 Weak-ascending set 29 Weak-ascending set, differential 36 Weak-characteristic series 31 f Weak-characteristic series, differential 37 f Weak-characteristic series, extended 31 Weak-characteristic series, irreducible 59 Weak-characteristic series, quasi-irreducible 32 Weak-characteristic set 30 Weak-characteristic set, differential 36 f Weak-characteristic set, modified 30 Weingarten formula 197 Windsteiger, W. 85 Winkler, R. 81 Wu method 66 70 115 Wu — Ritt method 15 28 84 Wu, W.-t. 28 f, 32, 40, 48, 82, 115f 127 143 151 166 193 Yang, L. 85 105
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