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- 内容細目...cating spheres and balls Hyperbol......ing the number of pieces in a pa......ns Free groups of large rank : g......ng a continuum of spheres from o...... The semigroup of equidecomposab......ures in groups Applications of amenability Gr......ions in groups and supramenability The role of the axiom of choice.
- 件名Banach-Tarski paradox. Measure theory. Decomposition (Mathematics)
- タイトル標目Encyclopedia of mathematics and its applications ; v. 163.
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- 要約等...inatorics with applications in the study of words and in symbolic dy......ear exposition of some recent results, and emphasise the ......heory, tilings and theory of computation, m......utomata theory and synchronised w......nued fractions and probabilistic ......omata, friezes and Dynkin diagram......mathematicians and computer scien......torics, theory of computation, n......amics, tilings and stringology. It will also int...
- 内容細目...st algorithms, and the case of Rosen continue......omata, tilings and (un)computabil......nsional shifts of finite type and sofic shifts / M. ......sive sequences and Dynkin diagram......enauer Pseudo-randomness of a random Kronecker se...... : an instance of dynamical anal....../ E. Cesaratto and B. Vallée.
- 件名Combinatorial analysis. Symbolic dynamics. Computer science. MATHEMATICS--Discrete Mathematics.
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- 要約等...e is imperfect and many bodies ar......id. The theory of ellipsoidal ha...... with the kind of computational ......s, biosciences and inverse proble......ns, the theory of images in elli......oidal geometry and vector surface...... problems. End-of-chapter proble......ent the theory and test the reader's understanding. The book s......sts, engineers and for anyone who...... current state of the art in this fascinating s...
- 内容細目...psoidal system and its geometry; 2. D...... 5. The theory of Niven and Cartesian harm......n sphero-conal and ellipsoidal ha......harmonics; 12. Applications to geometry; 13. Applications to physics; 14. Applications to low-frequen......ng theory; 15. Applications to bioscience; 16. Applications to inverse pro......ix B. Elements of dyadic analysi......ndre functions and spherical harm......endix E. Forms of the Lamé equa......endix F. Table of formulae; Appendix G. Miscell...
- 件名Lamé's functions. MATHEMATICS / General.
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- 要約等...tional subject of continuum mech...... grown rapidly and many new techn......basic concepts of the network ap......imation method and provides a uni......a wide variety of applied proble......em in a system of bodies. They s......ve the problem of closely placed......the new method of the network ap......ans in the USA and Russia. Intend......nts in applied mathematics and related fields......ics, chemistry and engineering, t......seful overview of the topic for ......tional subject of continuum mech...... grown rapidly and many new techn......basic concepts of the network ap......imation method and provides a unified approach f...
- 件名...uality theory (Mathematics) MATHEMATICS / General.
- 著者標目Berlyand, Leonid, 1957- Kolpakov, A. G...
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- 要約等"This is a concise and elementary int......hastic control and mathematical m......heory studying its application in......ical economics and those in econo......udying applied mathematics, mathematical economics, and non-linear PDE......ude the basics of analysis and probability, the theory of stochastic dif......al consumption and in optimal sto......ution control, and solving the HJB equation with...
- 内容細目Stochastic calculus and optimal contro......ry Foundations of stochastic cal......sity solutions of Hamilton-Jacob......ical solutions of Hamilton-Jacob......lman equations Applications to mathematica......ction planning and inventory Opti......l exploitation of renewable reso......ems Investment and exit decisions Appendices A. ...
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- 要約等...ul development of this theory re......des an account of the basic internal and external properties of the real numbe......within IST. In its remaining four......e consequences of the perspective offered by IST as a wide range of real analysis ......nalysis course and gradually move......e, self-study, and as a source fo......ng the methods of modern infinit...... the framework of internal set t......ul development of the theory in ......s. The basic standard and nonstandard properties of the real numbe......ugh discussion of the central topics of analysis that ......raduate course and gradually moves to topics sui...
- 内容細目...rt I. Elements of Real Analysis:......; 3. Sequences and series; 4. The topology of R; 5. Limits and continuity; 6.......; 8. Sequences and series of functions; 9. ......t II. Elements of Abstract Analy......aces; 13. Some applications of completeness; ......representation of numbers; C. Fi......, denumerable, and uncountable se...... D. The syntax of mathematical languages; Refer...
- 件名Mathematical analysis. Set theory. MATHEMATICS / Mathematical Analysis.
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- 要約等"The study of graph structur......onstructed out of more basic ele......the properties of graphs can be ......e two features of graph structur......n that unifies and synthesizes re......gh description of the theory, but also details its applications, on the one hand to the construction of graph algorithms, and, on the other ...... the extension of formal languag......e book will be of interest to gr......duate students and researchers in......nguage theory, and complexity theory"--
- 内容細目...Graph algebras and widths of graphs; 3. Equational and recognizable s...... 4. Equational and recognizable sets of graphs; 5. Mon......6. Algorithmic applications; 7. Monadic se...... Transductions of terms and words J. Engel......10. Conclusion and open problems; References; In...
- 件名Logic, Symbolic and mathematical--Graphic methods. MATHEMATICS / Logic.
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- 要約等... various ideas of 'colouring' (of vertices, edges, and so on) to explore aspects of graph theory. ......th other areas of mathematics, including topology, algebra and geometry, and is increasingl......cover portions of the material, ......a broad survey of the subject. A......iform notation and terminology ap......ghout. Bjarne Toft (Odense, Denm......or researchers and graduate stude......n graph theory and combinatorics and as a useful introduction to t...
- 内容細目...word / Bjarne Toft Preface Preli......ell W. Beineke and Robin J. Wilso......chael Stiebitz and Bjarne Toft 3. Chromatic ......chael Stiebitz and Margit Voigt 7......c graphs / Alexander Soifer 9. Integer flow and orientation / ...... Lai, Rong Luo and Cun-Quan Zhang......10. Colouring random graphs / Ross J. Kang and Colin McDiarmi......as, Zsolt Tuza and Vitaly Voloshi......nique de Werra and Alain Hertz 13......s / Zsolt Tuza and Xuding Zhu 15......./ Tommy Jensen and Bjarne Toft Notes on contributors.
- 件名Graph coloring--Data processing. Graph theory--Data processing. MATHEMATICS / Discrete Mathematics.
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- 内容細目Fundamental concepts and applications Boolean equati......ime implicants and minimal DNFs /......eter L. Hammer and Alexander Kogan Dualit......y / Yves Crama and Kazuhisa Makin......thogonal forms and shellability R......in C. Golumbic and Vladimir Gurvi......racterizations of special classe......nctions Graphs and hypergraphs Al......ity JBool : a software tool / Claude Benzaken and Nadia Brauner.
- 件名Algebraic functions. Algebra, Boolean. MATHEMATICS / Linear Programming.
- 一般注記... comprehensive and unified presentation of the structural, algorithmic, and applied aspects of the theory of Boolean functi......epresentations of Boolean functi......ly disjunctive and conjunctive no......ental elements of the theory (Bo......lean equations and satisfiability......ime implicants and associated sho...... indepth study of special classes of Boolean functi......once functions and their characte......l equations) , and two fruitful generalizations of the concept of Boolean functi......ined functions and pseudo-Boolean...... time. Because of the unique depth and breadth of the unified tr......at it provides and its emphasis on algorithms an...
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- 要約等...o the calculus of variations and its main principle......heir real-life applications in various con......tial geometry, and optimization i......es an overview of the field, with examples and exercises suit......ch. The method of presentation w......ntial geometry and partial differ......xt. Since much of the material h......ract concepts. Its extensive reference list and index also mak......g in a variety of fields who are......tial equations and functional analysis"-- Provid...
- 内容細目...liptic systems of gradient type ....... Minimization of cost-functions......ix A. Elements of convex analysi......ix C. Category and genus Appendix D. Clarke and Degiovanni gra......ix E. Elements of set-valued analysis Reference...
- 件名Calculus of variations.
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- 要約等"The algebraic theory of automata was c......Schützenberger and Chomsky over 50 years ago and there has sinc......n a great deal of development. C...... combinatorial mathematics and theoretical co......to an audience of graduate students and researchers a modern account of the subject and its applications. The algebraic......a general form of wide applicabi......in addition to applications in automata theory, codes and non-commutativ......llent resource and reference for ......mputer science and their areas of overlap"-- Pro......gebraic theory of automata was c......Schützenberger and Chomsky over 50 years ago and there has since been a great ...
紙図書
国立国会図書館全国の図書館
紙図書
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- 要約等"The study of lattice sums b......cal properties of crystals to the properties of the atoms and ions from whic......the literature of Madelung's con......cal properties of regular lattices of atoms (initiat......leigh, Lorentz and Lorenz). For o......ous scientists and mathematicians......the properties of lattices, some......ating the work of their predeces......nsive overview of the substantial body of knowledge that......n lattice sums and their applications. The authors a......pen questions, and explain modern......plify the task of finding new re......is fascinating and ongoing field.......o, three, four and higher dimensions are covered...
- 件名Lattice theory. Number theory. MATHEMATICS / Number Theory.
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- タイトル標目Encyclopedia of mathematics and its applications ; 162.
紙図書
国立国会図書館全国の図書館
- 要約等...es in elliptic and parabolic part......nique approach of investigating ......an equation is often to study a ......ple, using sub and superharmonic ......nusual feature of the present bo......ation formulae and nonlinear pote......rchers in pure and applied mathematics, and engineers who ......asic knowledge of functional ana......measure theory and Sobolev spaces.
- 件名Inequalities (Mathematics) Singularities (Mathematics)
- 関連情報Encyclopedia of mathematics and its applications
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- 要約等"This collection of papers presents a series of in-depth examinations of a variety of advanced topic......lean functions and expressions. T......ritten by some of the most promi......pective fields and cover topics r......g from algebra and propositional ......l engineering, and reliability th...... the diversity of the questions raised and investigated i......rkable feature of the collection......cepts, models, and tools provided......rious chapters of the book. This......r their understanding of their own scie......fic discipline and to explore new......his collection of papers presents a series of in-depth examinations of a va...
- 内容細目...re equivalence and property verif......ion / J.-H. Roland Jiang and Tiziano Villa Synthesis of multi-level Bo......oolean aspects of network reliability / Charles...
- 一般注記...ted URL: Table of contents only http: //www.loc...
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- 要約等...urveys, unites and extends some 20 years of research on direct and inverse proble......onical systems of integral and differential equations and related system...... the main part of the given data...... to the theory of matrix valued ......Hilbert spaces of vector valued ......s), the theory of J-inner matrix......lued functions and their applicat...... interpolation and extension prob......ly for courses and seminars in an......tudy. A number of examples are p......urveys, unites and extends some 20 years of research on direct and inverse proble......onical systems of integral and differential equations and related systems. Five basic i...
- 件名Inverse problems (Differential equations) Integral equations. MATHEMATICS / General.
- タイトル標目Encyclopedia of mathematics and its applications ; 145.
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- 要約等... ubiquitous in mathematics and have significant applications in computer sc......stics, biology and the social sci......duate students and researchers in all of these areas. B......th definitions of key concepts and fundamental re......ts (Dilworth's and Sperner's theorem, interval and semiorders, Ga......ttices, coding and dimension theo......s then present applications of these structur......ence modelling and aggregation, o......ional research and management, cluster and concept analysis, and data mining. E......ded at the end of each chapter w......vided for some of the most diffi......further topics of ongoing research"--
- 内容細目...e; 1. Concepts and examples; 2. P......icular classes of ordered sets; 3. Morphisms of ordered sets; 4. Chains and antichains; 5. Ordered sets and distributive l...... Order codings and dimensions; 7........ The 58 types of connected sets of size at most 5......C. The numbers of ordered sets and types of ordered sets; ......on marks; List of symbols; Bibliography; Index.
- 別の記録形式Table of contents only
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- 要約等...veloped theory of Hadamard expan......ic) evaluation of Laplace and Laplace-type i......egrals. This brand new method bui......mptotic method of steepest descents, of which the open......ed by a series of examples of increasing com....... A discussion of uniformity pro......kes phenomenon and hyperasymptotics of Laplace-type i......mard expansion of Laplace integrals, with and without saddle......ints. Problems of different types of saddle coalesc......ader to understand the level of accuracy achie......also considers applications to some import......duate students and researchers working in asympt...
- 内容細目Preface; 1. Asymptotics of Laplace-type i......mard expansion of Laplace integr......mard expansion of Laplace-type integrals; 4. Applications.
- 件名Integral equations -- Asymptotic theory. Asymptotic expansions. MATHEMATICS / Algebra / Abstract.