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1.

図書

図書
Aldo Andreotti
出版情報: Pisa : Scucla Normale Superiore, 1992-  2 v. ; 24 cm
シリーズ名: Pubblicazioni della Classe di scienze / Scuola Normale Superiore ; . Selecta : di opere di Aldo Andreotti ; tomo 1-2
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2.

図書

図書
Aldo Andreotti
出版情報: Pisa : Scucla Normale Superiore, 1999  633 p. ; 24 cm
シリーズ名: Pubblicazioni della Classe di scienze / Scuola Normale Superiore ; . Selecta : di opere di Aldo Andreotti
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3.

図書

図書
Claire Voisin
出版情報: Roma : Scuola Normale Superiore, 1998  viii, 85 p. ; 25 cm
シリーズ名: Pubblicazioni della Classe di scienze / Scuola Normale Superiore ; Lezioni Lagrange
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4.

図書

図書
Pierre-Louis Lions
出版情報: Pisa : Scuola Normale Superiore Pubblicazioni della Classe di Scienze, 1997  69 p. ; 25 cm
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5.

図書

図書
Sukumar Das Adhikari
出版情報: New Delhi : Narosa, c1999  xiii, 153 p. ; 24 cm
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6.

図書

図書
Jaigyoung Choe, editor
出版情報: Cambridge, Ma. : International Press, c1998  333 p. ; 26 cm
シリーズ名: International Press series in geometry and topology ; 25
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7.

図書

図書
A. Ehrenfeucht, T. Harju, G. Rozenberg
出版情報: Singapore : World Scientific, c1999  xvi, 290 p. ; 23 cm
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目次情報: 続きを見る
Preface
Preliminaries / Chapter 1:
Notations / 1.1:
Sets and functions / 1.1.1:
Closure operators / 1.1.2:
Relations / 1.1.3:
Equivalence relations / 1.1.4:
Partial orders / 1.2:
Downsets / 1.2.1:
Order embeddings / 1.2.2:
Linear orders / 1.2.3:
Semigroups and groups / 1.3:
Notations for semigroups and monoids / 1.3.1:
Free monoids (with involution) / 1.3.2:
Preliminaries on groups / 1.3.3:
Group actions / 1.3.4:
Free groups, commutators and verbal identities / 1.3.5:
Graph Theoretical Preliminaries / Chapter 2:
Directed and Undirected Graphs / 2.1:
Basic notions / 2.1.1:
Connectivity of graphs / 2.1.2:
Some special graphs / 2.1.3:
Comparability graphs / 2.2:
Transitively oriented graphs / 2.2.1:
Permutation graphs and cographs / 2.2.2:
Construction trees of cographs / 2.2.3:
2-Structures and Their Clans / Chapter 3:
Introduction and representations / 3.1:
Definition of a 2-structure / 3.1.1:
Isomorphic 2-structures / 3.1.2:
Reversibility / 3.1.3:
Substructures and clans / 3.2:
Substructures, clans and factors / 3.2.1:
Refinements and similarity / 3.2.2:
Reversible version / 3.2.3:
Graphs and packed components / 3.2.4:
Some special 2-structures / 3.2.5:
Closure properties of clans / 3.3:
Basic closures / 3.3.1:
Sibas: set theoretic closure properties / 3.3.2:
Clans of factors / 3.3.3:
Prime clans / 3.4:
Prime members in sibas / 3.4.1:
Minimal overlapping clans / 3.4.2:
Quotients and Homomorphisms / Chapter 4:
Quotients / 4.1:
Factorizations and quotients / 4.1.1:
Homomorphisms / 4.1.2:
Natural epimorphisms and decompositions / 4.1.3:
Clans and epimorphisms / 4.2:
Homomorphism theorem / 4.2.1:
Prime clans in quotients / 4.2.2:
Primitive quotients / 4.2.3:
Other operations / 4.3:
Premorphisms / 4.3.1:
Extensions / 4.3.2:
Clan Decomposition / Chapter 5:
The clan decomposition theorem / 5.1:
Maximal prime clans / 5.1.1:
Special sibas and 2-structures / 5.1.2:
The relationship of sibas to 2-structures / 5.1.3:
The shape of a 2-structure / 5.2:
The shape and its representation as a tree / 5.2.1:
Same shapes / 5.2.2:
A construction of prime clans / 5.3:
A construction of clans / 5.3.1:
Primitive 2-Structures / 5.3.2:
Small primitive substructures / 6.1:
Uniformly imprimitive 2-structures / 6.1.1:
Primitive substructures of 3 or 4 nodes / 6.1.2:
Hereditary properties / 6.2:
Local and global nodes / 6.2.1:
Critically primitive 2-structures / 6.2.2:
The parity theorem / 6.3.1:
The list of critically primitive 2-structures / 6.3.2:
Angular 2-Structures / Chapter 7:
Angularity / 7.1:
All-connectivity / 7.1.1:
All-connected skew angular 2-structures / 7.1.2:
T-structures / 7.2:
T-structures and partial orders / 7.2.1:
T[subscript 2]-structures / 7.2.2:
Linear orders and Schroder numbers / 7.3:
Bi-orders and linear orders / 7.3.1:
Uniformly imprimitive linear orders / 7.3.2:
Parenthesis words and Schroder numbers / 7.3.3:
Labelled 2-Structures / Chapter 8:
Introduction to l2-structures / 8.1:
Definitions / 8.1.1:
Substructures, clans and quotients / 8.1.2:
Clan decomposition of l2-structures / 8.2:
Uniqueness of decompositions / 8.2.1:
The shape of an l2-structure / 8.2.2:
Graphs and their representations / 8.2.3:
Graphs as l2-structures / 8.3.1:
On comparability graphs / 8.3.2:
Unstable Labelled 2-Structures / Chapter 9:
Triangle free and unstable l2-structures / 9.1:
Removable edges / 9.1.1:
Internal and external nodes / 9.1.2:
Triangle-free l2-structures / 9.1.3:
Heredity in unstable l2-structures / 9.2:
The partition of nodes / 9.2.1:
Alternating structures / 9.2.2:
Degrees of nodes / 9.2.3:
A composition of unstable l2-structures / 9.3:
A constructive reduction of primitive l2-structures / 9.3.1:
Pendant components / 9.3.2:
Automorphisms of Labelled 2-Structures / Chapter 10:
Label preserving automorphisms / 10.1:
The l-automorphism groups / 10.1.1:
Transitivity / 10.1.2:
Automorphic actions on factors / 10.1.3:
Universality of l-automorphism groups / 10.1.4:
Nonpreserving automorphisms / 10.2:
Connections to l-automorphisms / 10.2.1:
Transitivity and associated permutations / 10.2.2:
Representing labels by automorphisms / 10.2.3:
Switching of Graphs / Chapter 11:
Introduction to switching / 11.1:
The group of graphs / 11.1.1:
Switching classes / 11.1.3:
Structural properties of switching classes / 11.2:
A local characterization / 11.2.1:
Automorphisms / 11.2.2:
Special problems on undirected graphs / 11.3:
Two-graphs / 11.3.1:
Eulerian graphs / 11.3.2:
Pancyclic graphs / 11.3.3:
Trees / 11.3.4:
Labelled Structures over Groups / Chapter 12:
Introduction / 12.1:
Groups and involutions / 12.1.1:
Selectors and switching classes / 12.1.2:
An interpretation in networks / 12.2:
Concurrent behaviour in networks / 12.2.1:
Reducing the actions to groups / 12.2.2:
Introducing reversibility / 12.2.3:
Examples for some special groups / 12.3:
The cyclic groups Z[subscript 3] and Z[subscript 4] / 12.3.1:
The symmetric group S[subscript 3] / 12.3.2:
Clans of Switching Classes / Chapter 13:
Associated groups / 13.1:
The group of selectors / 13.1.1:
The group of abelian switching classes / 13.1.2:
Clans and horizons / 13.2:
Spanning trees / 13.2.1:
Horizons and constant selectors / 13.2.2:
Clans / 13.2.3:
Cardinalities of switching classes / 13.3:
Some special cases / 13.3.1:
Centralizers / 13.3.2:
Some improvements / 13.3.3:
Quotients and Plane Trees / Chapter 14:
Quotients of switching classes / 14.1:
Planes and plane trees / 14.1.1:
Planes / 14.2.1:
Plane trees / 14.2.2:
Bijective correspondence of plane trees / 14.2.3:
Forms / 14.2.4:
Invariants / Chapter 15:
Free invariants / 15.1:
General invariants / 15.1.1:
Edge monoids / 15.1.2:
Variable functions and free invariants / 15.1.3:
Group properties of free invariants / 15.2:
Abelian property / 15.2.1:
Graphs of words / 15.2.2:
Verbal identities / 15.2.3:
Invariants on abelian groups / 15.3:
Independency of free invariants / 15.3.1:
Complete sets of invariants / 15.3.2:
Invariants on nonabelian groups / 15.4:
General observations / 15.4.1:
Central characters / 15.4.2:
A characterization theorem / 15.4.3:
Bibliography
Index
Preface
Preliminaries / Chapter 1:
Notations / 1.1:
8.

図書

図書
出版情報: Cambridge, Mass. : International Press, 1998  xxvi p., p. 619-1150 ; 27 cm
シリーズ名: The Asian journal of methematics ; v. 2, no. 4
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9.

図書

図書
G. Haller
出版情報: New York ; Tokyo : Springer, c1999  xvi, 427 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; 138
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10.

図書

図書
H. Flenner, L. O'Carroll, W. Vogel
出版情報: New York : Springer, c1999  vi, 307 p. ; 25 cm
シリーズ名: Springer monographs in mathematics
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目次情報: 続きを見る
Introduction
Notations
The Classical Bezout Theorem / 1:
Degrees of Projective Schemes / 1.1:
Multiplicities of Local Rings / 1.2:
Joins / 1.3:
Generic Bertini Theorems / 1.4:
The Intersection Algorithm and Applications / 2:
The Intersection Algorithm / 2.1:
Application I: The Refined Bezout Theorem / 2.2:
Segre Classes, v-Cycles and Positivity / 2.3:
Segre Classes: The General Case / 2.4:
Limits of Joins and Intersections / 2.5:
Connectedness and Bertini Theorems / 3:
Connectedness Theorems / 3.1:
Applications to Intersections and Singularities of Mappings / 3.2:
Open Loci Results and the Generic Principle / 3.3:
Bertini Theorems / 3.4:
Grothendieck's Finiteness Theorem and Applications / 3.5:
A Relative Version of Krull's Principal Ideal Theorem / 3.6:
Joins and Intersections / 4:
Linear Projections / 4.1:
Tangencies of Algebraic Varieties / 4.2:
Embedded Tangent Spaces and Tangent Cones / 4.3:
Dual Varieties and the Gauss Map / 4.4:
Superadditivity of Join Defects / 4.5:
Joins, Vertices and Higher Join Varieties / 4.6:
Higher Secant Varieties of Rational Normal Scrolls / 4.7:
Converse to Bezout's Theorem / 5:
Joins of Minimal Dimension / 5.1:
A Numerical Criterion for Proper Intersection / 5.2:
The Arithmetically Cohen-Macaulay Case / 5.3:
A Local Version of Bezout's Theorem / 5.4:
Intersection Numbers and their Properties / 6:
A General Version of the j-Multiplicity / 6.1:
Intersection Numbers / 6.2:
Criteria for Bounded Multiplicity / 6.3:
Examples and Problems / 6.4:
Linkage, Koszul Cohomology and Intersections / 7:
Linkage / 7.1:
Strongly Cohen-Macaulay Subschemes / 7.2:
Linkage and the Strong Cohen-Macaulay Property / 7.3:
Applications to Cones, Joins and Secant Varieties / 7.4:
Secant Varieties for Two Dimensional Singularities / 7.5:
Limits of Joins for Small Deviation / 7.6:
Further Applications / 8:
Generic Residual Intersections / 8.1:
Generic Projections and Double Point Cycles / 8.2:
Generic Projections and the Ramification Cycle / 8.3:
Trisecant Varieties and Inner Projections / 8.4:
Appendix / A:
Some Standard Results from Commutative Algebra / A.1:
Gorenstein Rings / A.2:
Historical Remarks / A.3:
Bibliography
Index of Notations
Index
Introduction
Notations
The Classical Bezout Theorem / 1:
11.

図書

図書
edited by Andrea Cantini, Ettore Casari, Pierluigi Minari
出版情報: Dordrecht : Kluwer Academic, c1999  viii, 282 p.
シリーズ名: Synthese library ; v. 280
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12.

図書

図書
P.K. Suetin ; translated from the Russian by E.V. Pankratiev
出版情報: Australia ; Amsterdam : Gordon & Breach, c1999  xx, 348 p. ; 26 cm
シリーズ名: Analytical methods and special functions ; v. 3
An international series of monographs in mathematics
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13.

図書

図書
András Hajnal, Peter Hamburger ; translated by Attila Máté
出版情報: Cambridge : Cambridge University Press, 1999  viii, 316 p. ; 23 cm
シリーズ名: London Mathematical Society student texts ; 48
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目次情報: 続きを見る
Preface
Introduction to set theory / Part I.:
Introduction
Notation, conventions / 1.:
Definition of equivalence. The concept of cardinality. The Axiom of Choice / 2.:
Countable cardinal, continuum cardinal / 3.:
Comparison of cardinals / 4.:
Operations with sets and cardinals / 5.:
Examples / 6.:
Ordered sets. Order types. Ordinals / 7.:
Properties of wellordered sets. Good sets. The ordinal operation / 8.:
Transfinite induction and recursion. Some consequences of the Axiom of Choice, the Wellordering Theorem / 9.:
Definition of the cardinality operation. Properties of cardinalities. The cofinality operation / 10.:
Properties of the power operation / 11.:
Hints for solving problems marked with * in Part I
An axiomatic development of set theory / Appendix:
The Zermelo-Fraenkel axiom system of set theory / A1.:
Definition of concepts; extension of the language / A2.:
A sketch of the development. Metatheorems / A3.:
A sketch of the development. Definitions of simple operations and properties (continued) / A4.:
A sketch of the development. Basic theorems, the introduction of [omega] and R (continued) / A5.:
The ZFC axiom system. A weakening of the Axiom of Choice. Remarks on the theorems of Sections 2-7 / A6.:
The role of the Axiom of Regularity / A7.:
Proofs of relative consistency. The method of interpretation / A8.:
Proofs of relative consistency. The method of models / A9.:
Topics in combinatorial set theory / Part II.:
Stationary sets / 12.:
[Delta]-systems / 13.:
Ramsey's Theorem and its generalizations. Partition calculus / 14.:
Inaccessible cardinals. Mahlo cardinals / 15.:
Measurable cardinals / 16.:
Real-valued measurable cardinals, saturated ideals / 17.:
Weakly compact and Ramsey cardinals / 18.:
Set mappings / 19.:
The square-bracket symbol. Strengthenings of the Ramsey counterexamples / 20.:
Properties of the power operation. Results on the singular cardinal problem / 21.:
Powers of singular cardinals. Shelah's Theorem / 22.:
Hints for solving problems of Part II
Bibliography
List of symbols
Name index
Subject index
Preface
Introduction to set theory / Part I.:
Introduction
14.

図書

図書
Norman Macrae
出版情報: [Providence, R.I.] : American Mathematical Society, 1999, c1992  x, 405 p. ; 27 cm
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The cheapest way to make the world richer
A silver spoon in Budapest, 1903-14
At the Lutheran Gymnasium, 1914-21
An undergraduate with lion's claws, 1921-26
Rigor becomes more relaxed, 500 B. C.-A. D. 1931
The quantum leap, 1926-32
Sturm und Drang, marriage, emigration, 1927-31
Depression at Princeton, 1931-37
The calculating exploder, 1937-43
Los Alamos to Trinity, 1943-45
In the domain of economics
The computers at Philadelphia, 1944-46
The computers from Princeton, 1946-52
And then the H-bomb With astonishing influence, 1950-56
Acknowledgments
Permissions acknowledgments
Notes
Bibliography
Index Macrae on Macrae
The cheapest way to make the world richer
A silver spoon in Budapest, 1903-14
At the Lutheran Gymnasium, 1914-21
15.

図書

図書
Thomas Beth, Dieter Jungnickel, Hanfried Lenz
出版情報: Cambridge : Cambridge University Press, 1999  2 v. (xix, 1100 p.) ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 69, 78
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Examples and basic definitions / 1:
Combinatorial analysis of designs / 2:
Groups and designs / 3:
Witt designs and Mathieu groups / 4:
Highly transitive groups / 5:
Difference sets and regular symmetric designs / 6:
Difference families / 7:
Further direct constructions / 8:
Examples and basic definitions / 1:
Combinatorial analysis of designs / 2:
Groups and designs / 3:
16.

図書

図書
Nikolai G. Ushakov
出版情報: Utrecht : VSP, 1999  ix, 355 p. ; 26 cm
シリーズ名: Modern probability and statistics
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17.

図書

図書
Christina Birkenhake, Herbert Lange
出版情報: Boston : Birkhäuser, c1999  xv, 251 p. ; 24 cm
シリーズ名: Progress in mathematics ; v. 177
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18.

図書

図書
Gabriel P. Paternain
出版情報: Boston : Birkhäuser, c1999  xii, 149 p. ; 24 cm
シリーズ名: Progress in mathematics ; v. 180
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19.

図書

図書
Huzihiro Araki ; translated by Ursula Carow-Watamura
出版情報: Oxford : Oxford University Press, 1999  xii, 236 p. ; 24 cm
シリーズ名: The international series of monographs on physics ; v. 101
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States and observables / 1:
Probabilistic description / 1.1:
Functions of observables / 1.2:
The expectation value of an observable / 1.4:
Mixture and pure states / 1.5:
The physical topology of the states / 1.6:
Equivalent theories / 1.7:
Symmetries / 1.8:
Quantum theory / 2:
The quantum mechanical descrption / 2.1:
Algebraic viewpoint / 2.2:
The representation associated with a state: GNS construction / 2.3:
The symmetries of quantum mechanics / 2.4:
Symmetries from the algebraic point of view / 2.5:
The relativistic symmetry / 3:
Minkowski space / 3.1:
The inhomogeneous Lorentz group / 3.2:
The relativistic symmetry in quantum mechanics / 3.3:
Irreducible representations and one-particle states / 3.4:
Free particle system and Fock space / 3.5:
Energy momentum / 3.6:
Local observables / 4:
General properties of local observables / 4.1:
The vacuum state / 4.2:
Irreducibility / 4.3:
Mass gap and exponential clustering property / 4.4:
The JLD representation / 4.5:
Truncated expectation values and multiple clustering property / 4.6:
Additivity assumption and Reeh-Schlieder theorem / 4.7:
Quantum field theory / 4.8:
From quantum fields to local observables / 4.9:
Scattering theory / 5:
The concept of scattering states and the S-matrix / 5.1:
Description of asymptotic states / 5.2:
Construction of asymptotic states / 5.3:
The counter interpretation of asymptotic states--verification of an appropriate asymptotic behaviour / 5.4:
Asymptotic conditions and reduction formula for the S-matrix / 5.5:
Analyticity and TCP symmetry / 5.6:
Sector theory / 6:
Superselection rules and localized excitations / 6.1:
Localized endomorphisms and sectors / 6.2:
Permutation of excitations and statistics of a sector / 6.3:
Charge conjugate sector / 6.4:
Operator algebra system of fields and gauge groups / 6.5:
Theory of local charges / 6.6:
Hilbert space and operators / Appendix A:
Hilbert space / A.1:
Pre-Hilbert space and completion / A.2:
Orthonormal basis / A.3:
Unitary and antiunitary maps / A.4:
Subspaces and projection operators / A.5:
Direct sum and direct integral / A.6:
Spectral decomposition / A.7:
Trace / A.8:
Unbounded operators / A.9:
One-parameter group of unitary operators / A.10:
Tensor product / A.11:
Operator algebras / Appendix B:
C* algebras / B.1:
Von Neumann algebras / B.2:
Free fields / Appendix C:
Charged scalar field / C.1:
One particle system with positive mass and arbitrary spin / C.2:
Examples of free fields with positive mass and integer spin / C.3:
Examples of free fields with positive mass and half odd integer spin / C.4:
General literature and references
References for Chapter 1
References for Chapter 2
References for Chapter 3
References for Chapter 4
References for Chapter 5
References for Chapter 6
Literature for appendices
Index
States and observables / 1:
Probabilistic description / 1.1:
Functions of observables / 1.2:
20.

図書

図書
sponsored by Lehigh University's Journal of differentical geometry ; edited by C.C. Hsiung, S.-T. Yau
出版情報: Boston : International Press, c1998  339 p., 1 leaf of plates ; 24 cm
シリーズ名: Surveys in differential geometry : supplement to the Journal of differential geometry ; v. 3
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21.

図書

図書
Bernard Dacorogna, Paolo Marcellini
出版情報: Boston : Birkhäuser, c1999  xii, 273 p. ; 24 cm
シリーズ名: Progress in nonlinear differential equations and their applications / editor, Haim Brezis ; v. 37
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22.

図書

図書
edited by Christopher C. Bernido ... [et al.]
出版情報: Amsterdam : Gordon and Breach Science, c1999  xviii, 343 p. ; 24 cm
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23.

図書

図書
Wayne Raskind, Charles Weibel, editors
出版情報: Providence, RI : American Mathematical Society, 1999  xi, 315 p. ; 26 cm
シリーズ名: Proceedings of symposia in pure mathematics ; v. 67
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Conjectures de type local-global sur l'image des groupes de Chow dans la cohomologie etale / J.-L. Colliot-Thelene
Algebraic theory of characteristic classes of bundles with connection / H. Esnault
Polylogarithmic identities in cubical higher Chow groups / H. Gangl ; S. Muller-Stach
Topological cyclic homology of schemes / T. Geisser ; L. Hesselholt
Filtrations on higher algebraic $K$-theory / H. Gillet ; C. Soule
Motivic cohomology of smooth geometrically cellular varieties / B. Kahn
Integral homology of $PGL_2$ over elliptic curves / K. P. Knudson
Application of motivic complexes to negligible classes / E. Peyre
Two-primary algebraic $K$-theory of spaces and related spaces of symmetries of manifolds / J. Rognes
A mini-course on recent progress in algebraic $K$-theory and its relationship with topology and analysis / J. Rosenberg
The Chow ring of a classifying space / B. Totaro
Voevodsky's Seattle lectures: $K$-theory and motivic cohomology / V. Voevodsky
Products in higher Chow groups and motivic cohomology / C. Weibel
Conjectures de type local-global sur l'image des groupes de Chow dans la cohomologie etale / J.-L. Colliot-Thelene
Algebraic theory of characteristic classes of bundles with connection / H. Esnault
Polylogarithmic identities in cubical higher Chow groups / H. Gangl ; S. Muller-Stach
24.

図書

図書
editor, Marco Avellaneda
出版情報: Singapore : World Scientific, c1999-  v. ; 26 cm
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目次情報: 続きを見る
Introduction
Acknowledgements
The Contributors
Models and Model Selection / Part I:
Multivariate Binomial Approximations for Asset Prices with Nonstationary Variance and Covariance Characteristics / Marti G. Subrahmanyam ; Teng-Suan Ho ; Richard C. Stapleton
Deriving Closed-Form Solutions for Gaussian Pricing Models: A Systematic Time-Domain Approach / Alexander Levin
Models for Estimating the Structure of Interest Rates from Observations of Yield Curves / K. O. Kortanek ; V. G. Medvedev
Calibrating Volatility Surfaces via Relative-Entropy Minimization / Marco Avellaneda ; Craig Friedman ; Richard Holmes ; Dominick Samperi
Option Pricing and Exotics / Part II:
Static Hedging of Exotic Options / Peter Carr ; Katrina Ellis ; Vishal Gupta
Closed Form Formulas for Exotic Options and Their Lifetime Distribution / Raphael Douady
Asian Options, the Sum of Lognormals, and the Reciprocal Gamma Distribution / Steven E. Posner ; Moshe Arye Milevsky
Pricing and Hedging American Options: A Recursive Integration Method / Jing-zhi Huang ; G. George Yu
Estimation of Time Series / Part III:
Piecewise Convex Function Estimation: Pilot Estimators / Kurt S. Riedel
Function Estimation Using Data-Adaptive Kernel Smoothers--How Much Smoothing? / A. Sidorenko
Empirical Studies and Options / Part IV:
E-ARCH Model for Implied Volatility Term Structure of FX Options / Yingzi Zhu
A Test of Efficiency for the Currency Option Market Using Stochastic Volatility Forecasts / Dajiang Guo
Portfolio-Based Risk Pricing: Pricing Long-Term Put Options with GJR-GARCH(1,1)/Jump Diffusion Process / Sergei Esipov
Financial Economics and Portfolio Theory / Part V:
The Existence of Equilibrium in a Financial Market with Transaction Costs / Xing Jin ; Frank Milne
Portfolio Generating Functions / Robert Fernholz
Introduction
Acknowledgements
The Contributors
25.

図書

図書
edited by Louis J. Billera ... [et al.]
出版情報: Cambridge : Cambridge University Press, 1999  ix, 345 p. ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; 38
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26.

図書

図書
edited by Massimo Picardello, Wolfgang Woess
出版情報: Cambridge : Cambridge University Press, 1999  viii, 361 p. ; 24 cm
シリーズ名: Symposia mathematica ; v. 39
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27.

図書

図書
Martin R. Bridson, André Haefliger
出版情報: Berlin ; Tokyo : Springer, c1999  xxi, 643 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 319
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28.

図書

図書
G. Meurant
出版情報: Amsterdam ; Tokyo : Elsevier Science, 1999  xxii, 753 p. ; 24 cm
シリーズ名: Studies in mathematics and its applications ; v. 28
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Introductory Material
Vector and matrices norms
Eigenvalues
Irreducibility and diagonal dominance
M--Matrices and generalizations
Splittings
Positive definite matrices
The graph of a matrix
Chebyshev polynomials
Discretization methods for partial diffential equations
Eigenvalues and Fourier analysis
Floating point arithmetic
Vector and parallel computers
BLAS and LAPACK
Bibliographical comments
Gaussian elimination for general linear systems
Introduction to Gaussian elimination
Gaussian elimination without permutations
Gaussian elimination with permutations (partial piv-oting)
Gaussian elimination with other pivoting strategies
Operation counts
Gaussian elimination for symmetric systems
The outer product algorithm
The bordering algorithm
The inner product algorithm
Coding the three factorization algorithms
Positive definite systems
Indefinite systems
Gaussian elimination for H-matrices
Block methods
Tridiagonal and block tridiagonal systems
Roundoff error analysis
Perturbation analysis
Scaling
Iterative refinement
Parallel solution of general linear systems
Gaussian elimination for sparse linear systems
Introduction
The fill--in phenomenon
Graphs and fill--in for symmetric matrices
Characterization of the fill--in
Band and envelope numbering schemes for symmetric matrices
The Cuthill--McKee and reverse Cuthill--McKee orderings
Sloan's algorithm
Spectral schemes
The basic idea
The multilevel spectral algorithm
The Kumfert and Pothen hybrid algorithm
The Boman--Hendrickson multilevel algorithm
The minimum degree ordering
The nested dissection ordering
Generalization of dissection algorithms
General dissection algorithms
Graph bisection improvement techniques
The multisection algorithm
The multifrontal method
Non--symmetric sparse matrices
Numerical stability for sparse matrices
Parallel algorithms for sparse matrices
Fast solvers for separable PDEs
Fast Fourier Transform
The basics of the FFT
The complex FFT
The real transforms
FFT on vector and parallel computers
Stability of the FFT
Other algorithms
Double Fourier analysis
The Fourier tridiagonal Method
The cyclic reduction method
The FACR(l) method
The capacitance matrix method
Classical iterative methods
The Jacobi method
The Gauss-Seidel method
The SOR Method
The SSOR method
Alternating direction methods
Richardson methods
Acceleration techniques
Stability of classical iterative methods
The conjugate gradient and related methods
Introductory Material
Vector and matrices norms
Eigenvalues
29.

図書

図書
V.I. Bernik, M.M. Dodson
出版情報: Cambridge [Cambridgeshire] : Cambridge University Press, 1999  xi, 172 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; v. 137
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Preface
Notation
Diophantine approximation and manifolds / Chapter 1.:
Introduction / 1.1.:
Diophantine approximation in one dimension / 1.2.:
Approximation in higher dimensions / 1.3.:
Euclidean submanifolds / 1.4.:
Metric Diophantine approximation on manifolds / 1.5.:
Notes / 1.6.:
Khintchine's and Groshev's theorems for manifolds / Chapter 2.:
Extremal manifolds / 2.1.:
Khintchine and Groshev type manifolds / 2.3.:
Baker's conjecture / 2.4.:
Higher dimensional manifolds / 2.5.:
Hausdorff measure and dimension / 2.6.:
Hausdorff measure / 3.1.:
Hausdorff dimension / 3.3.:
Properties of Hausdorff dimension / 3.4.:
Determining the Hausdorff dimension / 3.5.:
Hausdorff dimension on manifolds / 3.6.:
Upper bounds for Hausdorff dimension / 3.7.:
Diophantine approximation on manifolds / 4.1.:
Smooth manifolds of dimension at least 2 / 4.3.:
Simultaneous Diophantine approximation / 4.4.:
Lower bounds for Hausdorff dimension / 4.5.:
Regular systems / 5.1.:
Ubiquitous systems / 5.3.:
Simultaneous Diophantine approximation on manifolds / 5.4.:
Diophantine approximation over the p-adic field / 5.5.:
Introduction to p-adic numbers / 6.1.:
Diophantine approximation in Q[subscript p] / 6.2.:
Integral polynomials with small p-adic values / 6.3.:
Applications / 6.4.:
Diophantine type and very well approximable numbers / 7.1.:
A wave equation / 7.3.:
The rotation number / 7.4.:
Dynamical systems / 7.5.:
Linearising diffeomorphisms / 7.6.:
Diophantine approximation in hyperbolic space / 7.7.:
References / 7.8.:
Index
Preface
Notation
Diophantine approximation and manifolds / Chapter 1.:
30.

図書

図書
editors, Selman Akbulut, Turgut Önder, Ronald J. Stern
出版情報: Ankara : Scientific and Technical Research Council og Turkey, [1995]  88 p. ; 23 cm
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31.

図書

図書
George E. Andrews, Richard Askey, Ranjan Roy
出版情報: Cambridge, UK ; New York : Cambridge University Press, 1999  xvi, 664 p. ; 25 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 71
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32.

図書

図書
editors, A. Stasiak, V. Katritch, L.H. Kauffman
出版情報: Singapore : World Scientific, c1998  x, 414 p. ; 23 cm
シリーズ名: Series on knots and everything ; vol. 19
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33.

図書

図書
M. Salah Baouendi, Peter Ebenfelt, Linda Preiss Rothschild
出版情報: Princeton, NJ : Princeton University Press, c1999  xii, 404 p. ; 25 cm
シリーズ名: Princeton mathematical series ; 47
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Preface
Hypersurfaces and Generic Submanifolds in C[superscript N] / Ch. I:
Abstract and Embedded CR Structures / Ch. II:
Vector Fields: Commutators, Orbits, and Homogeneity / Ch. III:
Coordinates for Generic Submanifolds / Ch. IV:
Rings of Power Series and Polynomial Equations / Ch. V:
Geometry of Analytic Discs / Ch. VI:
Boundary Values of Holomorphic Functions in Wedges / Ch. VII:
Holomorphic Extension of CR Functions / Ch. VIII:
Holomorphic Extension of Mappings of Hypersurfaces / Ch. IX:
Segre Sets / Ch. X:
Nondegeneracy Conditions for Manifolds / Ch. XI:
Holomorphic Mappings of Submanifolds / Ch. XII:
Mappings of Real-algebraic Subvarieties / Ch. XIII:
References
Index
Preface
Hypersurfaces and Generic Submanifolds in C[superscript N] / Ch. I:
Abstract and Embedded CR Structures / Ch. II:
34.

図書

図書
by V. Kolmanovskii and A. Myshkis
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1999  xvi, 648 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 463
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Preface
Modelling by Functional Differential Equations / Part I.:
Theoretical preliminaries / Chapter 1.:
Functional differential equations (FDEs) / 1.:
Some classes of FDEs / 1.1:
Solution concept for a FDE / 1.2:
FDE with retardation / 1.3:
A little bit of philosophy / 1.4:
Models / Chapter 2.:
Viscoelasticity
Aftereffect in mechanics / 2.:
Motion of a particle in a liquid / 2.1:
Controlled motion of a rigid body / 2.2:
Models of polymer crystallization / 2.3:
Stretching of a polymer filament / 2.4:
Hereditary phenomena in physics / 3.:
Dynamics of oscillation / 3.1:
Relativistic dynamics / 3.2:
Nuclear reactors / 3.3:
Distributed networks (long line with tunnel diode) / 3.4:
Heat flow in materials with memory / 3.5:
Models of lasers / 3.6:
Neural network / 3.7:
Models with delays in technical problems / 4.:
Infeed grinding and cutting / 4.1:
Technological delay / 4.2:
Car chasing / 4.3:
Ship course stabilization / 4.4:
Process of combustion in small rockets / 4.5:
Delay-differential equations in engineering applications / 4.6:
Aftereffect in biology / 5.:
Evolution equations of a single species / 5.1:
Interaction of two species / 5.2:
Population dynamics model of N interacting species / 5.3:
Coexistence of competitive micro-organisms / 5.4:
Control problems in ecology / 5.5:
Control problems in microbiology (chemostat models) / 5.6:
Nicholson blowflies model / 5.7:
Helical movement of tips of growing plants / 5.8:
Grazing system / 5.9:
Aftereffect in medicine / 6.:
Mathematical models of the sugar quantity in blood / 6.1:
Model of arterial blood pressure regulation / 6.2:
Cancer chemotherapy / 6.3:
Mathematical models of learning / 6.4:
Mathematical models in immunology and epidemiology / 6.5:
Model of the human immunodeficiency virus (HIV) epidemic / 6.6:
Model of survival of red blood cells / 6.7:
Vision process in the compound eye / 6.8:
Human respiratory system / 6.9:
Regulation of glucose-insulin system / 6.10:
A disease transmission model / 6.11:
Aftereffect in economy and other sciences / 7.:
Optimal skill with retarded controls / 7.1:
Optimal advertising policies / 7.2:
Commodity price fluctuations / 7.3:
Model of the fishing process / 7.4:
River pollution control / 7.5:
Control of financial management / 7.6:
Theoretical Background of Functional Differential Equations / Part II.:
General theory / Chapter 3.:
Introduction. Method of steps
Notation
Cauchy problem for FDEs
Steps method for FDEs of retarded type (RDEs)
Steps methods for FDEs of neutral type (NDEs)
Problem for a process with aftereffect renewal / 1.5:
Cauchy problem for RDEs
Basic solvability theorem
Variants
Semigroup relation
Absolutely continuous solutions
RDEs with infinite delay / 2.5:
Features of the Cauchy problem for RDEs / 2.6:
Cauchy problem for NDEs
Smooth solutions
NDEs with a functional of integral type
Application of the steps method
Transition to the operator equation
Hale's form of NDEs
Differential inclusions of retarded type (RDIs)
Introduction
Multimaps
Solvability of the Cauchy problem for RDIs
Generalized solutions of RDEs and RDIs
General linear FDEs with aftereffect
Cauchy problem for linear RDEs
Generalization
Integral representation for the solution of the Cauchy problem (variation of constants formula)
Adjoint equation. Periodic solutions
Linear NDEs
Simplest nonautonomous RDEs of the first and second orders
Linear autonomous FDEs
Exponential solutions of linear autonomous RDEs
Solution of the Cauchy problem
Example of a showering person
Linear autonomous NDEs
Hopf bifurcation of FDEs
Example
General case
Example of an RDE with constant delay: intraspecific struggle for a common food
Example of an RDE with autoregulative delay: combustion in the chamber of a turbojet engine
Example NDE: auto-oscillation in a long line with tunnel diod / 7.7:
Stochastic retarded differential equations (SRDEs) / 8.:
Initial value problem / 8.1:
Existence and uniqueness of solution / 8.2:
Some characteristics of solutions of linear equations / 8.3:
Stability / Part III.:
Stability of retarded differential equations / Chapter 4.:
Liapunov's direct method
Stability definitions
Stability theorems for equations with bounded delay
Stability of equations with unbounded delay
Stability of linear nonautonomous RDEs
Stability of linear periodic RDEs
Application of comparison theorems / 1.6:
Stability in the first approximation / 1.7:
Case of non-positive derivative / 1.8:
Linear autonomous RDEs
Laplace transformation
Stability conditions
Stability investigation methods for linear autonomous RDEs
Mikhailov criterium
Scalar n-th order equations
Equations with discrete delays
Razumikhin's method
Guiding functions for systems without delay
Guiding functionals for RDEs
Direct application of Liapunov functions to RDEs
The main idea of B.S. Razumikhin
"Impossibility of the first breakdown"
Precize formulation / 4.7:
Connection between Razumikhin's method and Liapunov functionals / 4.8:
Asymptotic stability / 4.9:
Refinement of estimations / 4.10:
Transformation of RDEs / 4.11:
Other applications of Razumikhin's method / 4.13:
Stability of RDEs with autonomous linear part / Chapter 5.:
Notations
L[superscript 2]-stability
Estimates for the Green function
A bound for a region of attraction
Liapunov functionals for concrete FDEs / Chapter 6.:
Statement of the problem
Formal description of the procedure
Dissipative systems
Exponential contractivity
Exponentially stable linear part
Smooth coefficients
Scalar RDEs
Scalar equations of n-th order
Scalar equations of second order
Stability of chemostat
Riccati type stability conditions of some linear systems with delay / Chapter 7.:
Special case
The stability condition for this case
An application of a form of NDE
One more stability condition
Discrete delay-independent stability conditions
Delay-dependent stability conditions for equations with discrete delays
The stability condition
Distributed delay
Stability of neutral type functional differential equations / Chapter 8.:
Direct Liapunov's method
Degenerate Liapunov functionals
Stability in a first approximation
The use of functionals depending on derivatives
Instability of NDEs
Stability of linear NDEs
Scalar NDEs
Stability of NDEs with discrete delays
The influence of small delays on stability
Linear inhomogeneous NDEs
Boundedness of derivatives for linear NDEs
Boundedness of derivatives for nonlinear NDEs / 2.7:
Linear periodic NDEs / 2.8:
Application of the direct Liapunov method / Chapter 9.:
Description of the procedure
Scalar NDEs of n-th order
Another stability condition
The summarizing result
Nonlinear NDEs
Stability of the second order NDEs
An illustrative example for dimension n = 3
Matrix Riccati equations in stability of NDEs
Stability of stochastic functional differential equations / Chapter 10.:
Definitions of stability
Ito's formula
Examples
Exponential stability
Stability under persistent disturbances
Boundedness of moments of solutions
General conditions for boundedness of moments
Scalar SRDE
Second order SRDE
Construction of Liapunov functionals for SNDEs
Scalar SNDE
Nonlinear example
Riccati matrix equations in stability of linear SRDEs
Boundary Value Problems and Periodic Solutions of Differential Equations / Part IV.:
Boundary value problems for functional differential equations / Chapter 11.:
Boundary value problems for FDEs of evolutionary type
Problems with a finite defect
Halanay's boundary value problem
Periodic problem
Boundary value problems for FDEs of nonevolutionary type
FDEs with unique principal term
FDEs with nonunique principal term
Fredholm alternative for periodic solutions of linear FDEs / Chapter 12.:
Existence of periodic solutions
Conditions of the Fredholm alternative validity
Connection between boundedness and periodicity
Periodic solution of linear difference equations (DcEs)
Stationary case. Commensurable shifts of the argument
Arbitrary delays
Variable coefficients, delays divisible by a period
Variable coefficients, delays commensurable with a period
Variable coefficients, arbitrary constant delays
NDEs with small nonlinearities
Periodic solutions of autonomous FDEs with small parameter
Generalized periodic solutions of Functional Differential Equations / Chapter 13.:
Some prerequisites
Conditions of existence of periodic solutions
Relation between stability and periodicity
Stability of periodic solutions
Periodic solutions of concrete classes of equations
The case of quasilinear deterministic equation
Linear equations
Periodic solutions of the Ito's SFDEs
Scalar SRDEs
Method of Liapunov functionals
Uniqueness of periodic solutions
Control and Estimation in Hereditary Systems / Part V.:
Problems of control for deterministic FDEs / Chapter 14.:
The dynamic programming method for deterministic RDEs. Bellman's equation
Optimality conditions
Linear quadratic problems
Optimal control synthesis
Exact solution
Systems with delays in the control
Effects of delays in regulators
NDE
Optimal control of bilinear hereditary systems
Construction of the optimal control synthesis
Model of optimal feedback control for microbial growth
Control problems with phase constraint formula
General optimality conditions
Necessary optimality conditions
Systems with state delays
Systems with distributed delays
Linear systems with discrete and distributed delays
Neutral type systems
Adaptive control of FDEs
Scalar equations
Delay identification
Multidimensional systems
Optimal control of stochastic delay systems / Chapter 15.:
Dynamic programming method for controlled stochastic hereditary processes
The linear quadratic problem
Bellman functional and optimal control
Approximate solution
Some generalizations
Approximate optimal control for equations with small parameters
Formal algorithm
Quasilinear systems with quadratic cost
Another approach to the problem of optimal synthesis control
Admissible functionals
Quasilinear quadratic problems
State estimates of stochastic systems with delay / Chapter 16.:
Filtering of Gaussian processes
Problem statement
Integral representation for the optimal estimate
The fundamental filtering equation
Dual optimal control problem
Particular cases
Dependence of the error of the optimal estimate on the delay
Filtering of solutions of Ito's equations with delay
Dual control problem
Minimax filtering in systems with delay
Bibliography
Index
Preface
Modelling by Functional Differential Equations / Part I.:
Theoretical preliminaries / Chapter 1.:
35.

図書

図書
George Xian-zhi Yuan
出版情報: New York : Marcel Dekker, c1999  xii, 621 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 218
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36.

図書

図書
William M. Goldman
出版情報: Oxford : Clarendon, 1999  xx, 316 p. ; 24cm
シリーズ名: Oxford mathematical monographs
Oxford science publications
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37.

図書

図書
International Congress of Mathematicians ; Deutsche Mathematiker-Vereinigung
出版情報: [S.l.] : [s.n.] , [Bielefeld : Fakultät für Mathematik, Universität Bielefeld, c1998]  3 v. ; 24 cm
シリーズ名: Documenta mathematica : Journal der Deutschen Mathematiker-Vereinigung ; Extra Volume
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38.

図書

図書
V. Buslaev, M. Solomyak, D. Yafaev, editors
出版情報: Providence, R.I. : American Mathematical Society, c1999  viii, 285 p. ; 26 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 189 . Advances in the mathematical sciences (formerly advances in Soviet mathematics) ; 41
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On the scientific work of Mikhail Shlemovich Birman / V. Buslaev ; M. Solomyak ; D. Yafaev
List of publications of M. Sh. Birman Representation theorems for solutions of the Helmholtz equation on $\mathbb{R}^n$ / S. Agmon
Kronig-Penney electron in a homogeneous electric field / V. S. Buslaev
A Minkowski type trace inequality and strong subadditivity of quantum entropy / E. A. Carlen ; E. H. Lieb
Integrable operators / P. Deift
On the determination of a potential from three spectra / F. Gesztesy ; B. Simon
Oscillatory eigenvalue branches for Schrodinger operators with strongly coupled magnetic fields / R. Hempel
Schrodinger operators with strong magnetic fields: Quasi-periodicity of spectral orbits and topology / I. Herbst ; S. Nakamura
Heavy atoms in a superstrong magnetic field / V. Ivrii
A parametrix for the nonstationary Schrodinger equation / L. Kapitanski ; Yu. Safarov
Comparison principles for nonlinear operator differential equations in Banach spaces / V. Kozlov ; V. Maz
'ya On disjointness of solutions to the MNS equations / O. A. Ladyzhenskaya ; G. A. Seregin
On the negative eigenvalues of a class of Schrodinger operators / A. Laptev ; Yu. Netrusov
Semiclassical asymptotics for the spectral shift function / D. Robert
On the number of negative eigenvalues for the two-dimensional magnetic Schrodinger operator / G. Rozenblum
Elliptic boundary value problems with relaxed conditions / M. A. Shubin
On the spectrum of the periodic magnetic Hamiltonian / A. V. Sobolev
Another look at Cwikel's inequality / T. Weidl
The discrete spectrum in the singular Friedrichs model
Spectrum of the relative motion of many-particle systems in a homogeneous magnetic field: What do we know about it? / G. Zhislin
On the scientific work of Mikhail Shlemovich Birman / V. Buslaev ; M. Solomyak ; D. Yafaev
List of publications of M. Sh. Birman Representation theorems for solutions of the Helmholtz equation on $\mathbb{R}^n$ / S. Agmon
Kronig-Penney electron in a homogeneous electric field / V. S. Buslaev
39.

図書

図書
John N. McDonald, Neil A. Weiss ; biographies by Carol A. Weiss
出版情報: San Diego : Academic Press, c1999  xvii, 745 p. ; 24 cm
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Set Theory
The Real Numbers and Calculus Lebesque
Theory on the Real Line Measure
Theory Elements of Probability Differentiation
Elements of Topological and Metric
Spaces Completeness, Compactness, and Approximation
Hilbert Spaces
Classical Banach Spaces
Basic Theory of Normed and Locally
Convex Spaces
Elements of Harmonic
Analysis Measurable Dynamical Systems
Index
Set Theory
The Real Numbers and Calculus Lebesque
Theory on the Real Line Measure
40.

図書

図書
by Nikolai Leonenko
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1999  viii, 401 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 465
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41.

図書

図書
Rajiv Gupta, Kenneth S. Williams, editors
出版情報: Providence, R.I. : American Mathematical Society, c1999  xxxii, 392 p. ; 26 cm
シリーズ名: CRM proceedings & lecture notes ; v. 19
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Rational curves with zero self intersection on certain $K$3 surfaces / A. Baragar
Notes on Ramanujan's singular moduli / B. C. Berndt ; H. H. Chan
The operator $x +(1/x)-2$ and the reciprocal integers / M.-J. Bertin
Integral points on cubic surfaces / F. Beukers
The last exhaustive computation of class groups of complex quadratic number fields / D. A. Buell
Diophantine approximation in projective space / K.-K. Choi ; J. D. Vaaler
Bounds for odd perfect numbers / R. J. Cook
Automorphic $L$-functions in level aspect / W. Duke
The number field sieve on many computers / R.-M. Elkenbracht-Huizing ; P. L. Montgomery ; R. D. Silverman ; R. K. Wackerbarth ; S. S. Wagstaff, Jr
On the order of $a$ (mod $p$) / P. Erdos ; M. R. Murty
A special case of Cohen-Lenstra heuristics in function fields / C. Friesen
An asymptotic expansion of Ramanujan / W. F. Galway
Improving Ramachandra's and Levesque's unit index / C. Greither
On the middle factor of the period polynomial for finite fields / S. Gurak
On the distribution of champs / A. Ivic ; C. Pomerance
Sextic number fields with discriminant $(-1)^j2^a3^b$ / J. W. Jones ; D. P. Roberts
Traces of singular moduli and the Fourier coefficients of the elliptic modular function $j(\tau)$ / M. Kaneko
Probleme d'Eisenstein pour le conducteur 3 / P. Kaplan
Liens entre le theoreme de Mason et la conjecture $(abc)$ / M. Langevin
On the trace of Hecke operators for Maass forms / X.-J. Li
An analysis of Shanks's algorithm for computing square roots in finite fields / S. Lindhurst
On the equation $a_1p_1 + a_2p_2 + a_3p_3 = b$ with prime variables in arithmetic progressions / M.-C. Liu ; T. Wang
Solutions to $x^2 - Dy^2 = Q$ / S. Louboutin ; R. A. Mollin
Integers represented by ternary quadratic forms / K. Ono ; K. Soundararajan
Some uniformity results following from the Lang conjectures / P. L. Pacelli
Fourier coefficients of cusp forms / Y. N. Petridis
Beer and continued fractions with periodic periods / A. J. van der Poorten
An inequality for polynomials / C. J. Smyth
Some integrals of theta functions in Ramanujan's lost notebook / S. H. Son
Arithmetic of a certain Calabi-Yau threefold / H. A. Verrill
Diophantine approximation in Euclidean spaces / L. Ya. Vulakh
Transcendance et independance algebrique de valeurs de fonctions modulaires / M. Waldschmidt
On the rank of ideal class groups / S. Wong
Conference problems session conducted / J. L. Selfridge ; R. K. Guy Homework! ; P. Ribenboim
Rational curves with zero self intersection on certain $K$3 surfaces / A. Baragar
Notes on Ramanujan's singular moduli / B. C. Berndt ; H. H. Chan
The operator $x +(1/x)-2$ and the reciprocal integers / M.-J. Bertin
42.

図書

図書
Ulrich Mosel
出版情報: Berlin : Springer, c1999  xiii, 310 p. ; 25 cm
シリーズ名: Texts and monographs in physics
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目次情報: 続きを見る
Preliminaries / Part I:
Units and Metric / 1:
Units / 1.1:
Metric and Notation / 1.2:
Fundamentals of Field Theory / Part II:
Classical Fields / 2:
Equations of Motion / 2.1:
Examples / 2.1.1:
Symmetries and Conservation Laws / 2.2:
Geometrical Space-Time Symmetries / 2.2.1:
Internal Symmetries / 2.2.2:
Free Fields and Their Quantization / 3:
Classification of Fields / 3.1:
Scalar Fields / 3.2:
Quantization of the Hermitian Scalar Field / 3.2.1:
Quantization of the Charged Scalar Field / 3.2.2:
Vector Fields / 3.3:
Massive Vector Fields / 3.3.1:
Massless Vector Fields / 3.3.2:
Fermion Fields / 3.4:
Dirac Equation / 3.4.1:
Lagrangian for Fermion Fields / 3.4.2:
Quantization ofthe Dirac Field / 3.4.3:
Massless Fermions / 3.4.4:
Neutrinos / 3.4.5:
Transition Rates in Quantum Field Theory / 3.5:
Quantum Mechanical Consistency / 3.6:
GlobalSymmetries / Part III:
Symmetries of Meson and Baryon Systems / 4:
U(1) Symmetry / 4.1:
Properties of the Group U(1) / 4.1.1:
Structure of the Nucleon Lagrangian / 4.1.2:
SU(2) Symmetry / 4.2:
Properties of the Group SU(2) / 4.2.1:
General Definitions / 4.2.2:
Application to the Pion-Nucleon System / 4.2.3:
Structure of SU(2) Multiplets / 4.2.4:
SU(3) Symmetry / 4.3:
Properties of the Group SU(3) / 4.3.1:
Structure of SU(3) Multiplets / 4.3.2:
Assignments of Hadrons to SU(3) Multiplets / 4.3.3:
SU(3) Symmetry Breaking / 4.3.4:
Quarks / 5:
Construction of SU(3) Multiplets / 5.1:
Construction of the Representation <$>3 \otimes \bar {3}<$> / 5.1.1:
Construction of the Representation 3 ⊗ 3 ⊗ 3 / 5.1.2:
State Vectors for the Multiplets / 5.2:
Tensor Algebra / 5.2.1:
Hadron Multiplets / 5.2.2:
Color Degree of Freedom / 5.3:
Chiral Symmetry / 6:
Phenomenology of β-Decay / 6.1:
Leptonic β-Decay / 6.1.1:
Semileptonic β-Decay / 6.1.2:
Current Conservation in Strong Interactions / 6.2:
Vector Current Conservation / 6.2.1:
Axial Vector Current Conservation / 6.2.2:
Chiral Symmetry Group / 6.3:
Chiral Symmetry Transformations for the Fermions / 6.3.1:
Chiral Symmetry Transformations for the Mesons / 6.3.2:
Spontaneous Global Symmetry Breaking / 7:
Goldstone Theorem / 7.1:
Goldstone Bosons / 7.1.1:
Examples of the Goldstone Mechanism / 7.2:
Spontaneous Breaking of a Global Non-Abelian Symmetry / 7.2.1:
σ-Model / 7.2.2:
Nambu-Jona-Lasinio Model / 7.2.3:
Local Gauge Symmetries / Part IV:
Gauge Field Theories / 8:
Conserved Currents in QED / 8.1:
Local Abelian Gauge Invariance / 8.2:
Non-Abelian Gauge Fields / 8.3:
Lagrangian for Non-Abelian Gauge Field Theories / 8.3.1:
Properties of Non-Abelian Gauge Field Theories / 8.3.2:
Spontaneous Symmetry Breaking in Gauge Field Theories / 9:
Higgs Mechanism / 9.1:
Spontaneous Breaking of a Local Non-Abelian Symmetry / 9.2:
Summary of the Higgs Mechanism / 9.3:
Electroweak Interaction / Part V:
Weak Interactions of Quarks and Leptons / 10:
Phenomenological Introduction / 10.1:
Strangeness Changing Weak Decays / 10.1.1:
Neutral Currents / 10.1.2:
Intermediate Vector Bosons / 10.2:
Fundamentals of a Theory of Weak Interactions / 10.3:
Electroweak Interactions of Leptons / 11:
Leptonic Multiplets and Interactions / 11.1:
Electroweak Currents / 11.1.1:
Lepton Masses / 11.2:
Electroweak Interactions / 11.3:
Generalization to Other Leptons / 11.3.1:
Parameters of the Lagrangian / 11.4:
Charged Current Experiments / 11.4.1:
Neutral Current Experiments / 11.4.2:
Electroweak Interactions of Quarks / 12:
Hadronic Multiplets / 12.1:
Hadron Masses / 12.1.1:
Electroweak Interactions of Quarks and Leptons / 13:
Lagrangian of Electroweak Interactions / 13.1:
Standard Model / 13.2:
CP Invariance of Electroweak Interactions / 14:
Kobayashi-Maskawa Matrix / 14.1:
Unitarity of the KM Matrix / 14.2:
K0 Decay and CP Violation / 14.3:
CP Invariance and the KM Matrix / 14.4:
Strong Interaction / Part VI:
Quantum Chromodynamics / 15:
Gauge Group for Strong Interactions / 15.1:
QCD Lagrangian / 15.2:
Properties of QCD / 15.3:
Scale Invariance / 15.3.1:
Chiral Invariance / 15.3.2:
Antishielding and Confinement / 15.3.3:
Deconfinement Phase Transition / 15.3.4:
Hadron Structure / Part VII:
Bag Models of Hadrons / 16:
Potential Well in the Dirac Theory / 16.1:
The MIT Bag / 16.2:
Fermions in the MIT Bag / 16.2.1:
Gluons in the MIT Bag / 16.2.2:
Hyperfine Structure of Bag States / 16.2.4:
Magnetic Moments of the Nucleon / 16.2.5:
Axial Vector Current / 16.2.6:
Chiral Symmetry in the MIT Bag / 16.2.7:
Soliton Models of Hadrons / 17:
Skyrmion Model / 17.1:
Hybrid Chiral Bag Model / 17.2:
Linear 7-Model / 17.3:
Friedberg-Lee Soliton Bag Model / 17.4:
NJL Soliton Model / 17.5:
Appendices / Part VIII:
Solutions of the Free Dirac Equation / A:
Properties of Free Dirac States / A.1:
Dirac and Majorana Fields / A.2:
Explicit Quark States for Hadrons / B:
Table of Hadron Properties / C:
Bibliography by Subject
References
Index
Preliminaries / Part I:
Units and Metric / 1:
Units / 1.1:
43.

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図書
S. Kusuoka, T. Maruyama (eds.)
出版情報: Tokyo : Springer-Verlag, c1999-  v. ; 25 cm
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Research Articles / G. Carlier, Duality and existence for a class of mass transportation problems and economic applications
Functional evolution equations governed by m-accretive operators / Charles Castaing ; Ahmed Gamal Ibrahim
Implicit functions and diffeomorphisms without C / Leonid Hurwcz ; Marcel K. Richter
Optimization and Lagrange multipliers: Non-C1 Constraints and minimal constraint qualifications / Leonid Hurwicz
Nonlinear generalizations of theorems on inverse-positive matrices / Takao Fujimoto ; Jose A. Silva ; Antonio Villar
method for pricing of Bermuda type derivatives / Shigeo Kusuoka ; Monte Carlo
Historical Perspectives: Isao Mutoh, Mathematical economics in Vienna between the wars
Subject index
Komlos type convergence for random variables and random sets with applications to minimization problems / C. Castaing ; M. Saadoune
Capital-labor substitution and indeterminacy in continuous-time two-sector models / J.-P. Garnier ; K. Nishimura ; A. Venditti
Weak and strong convergence theorems for new resolvents of maximal monotone operators in Banach spaces / T. Ibaraki ; W. Takahashi
Golden optimal policy in calculus of variation and dynamic programming / S. Iwamoco
A remark on law invariant convex risk measures / S. Kusuoka
Existence and uniqueness of an equilibrium in a model of spatial electoral competition with entry / A. Rubinchik ; S. Weber
Publisher's Errata: Solving long term optimal investment problems with Cox-Ingersoll-Ross interest rates / H. Hata ; J. Sekine
Subject Index
Instructions for Authors
Unemployment and income distribution in the medium-run growth model / H. Adachi
Convergences in a dual space with applications to Fatou lemma
Variational analysis and mathematical economics 1: Subdifferential calculus and the second theorem of welfare economics / A.D. Ioffe
Smooth feasible solutions to a dual Monge-Kantorovich problem with applications to best approximation and utility theory in mathematical economics / V.L. Levin
Optimal growth rate in random trade time / K. Matsumoto
Some properties of distortion risk measures / H. Tsukahara
Optimal hedging strategies on asymmetric functions / T. Arai
Tightness conditions and integrability of the sequential weak upper limit of a sequence of multifunctions / C. Hess
Core convergence in economies with bads / C. Hara
A distance and a binary relation related to income comparisons / H. Komiya
On preference relations that admit smooth utility functions / V. L. Levin
Rational expectations can preclude trades / T. Matsuhisa ; R. Ishikawa
The Le Chatelier Principle in dynamic models of the firm / R. J. Rossana
Interdependent utility functions in an intergenerational context / T. Shinotsuka
Some various convergence results for multivalued martingales / F. Akhiat ; F. Ezzaki
A note on Aumann's core equivalence theorem without monotonicity / J. Honda ; S.-I. Takekuma
On two classical turnpike results for the Robinson-Solow-Srinivasan model / M.A. Khan ; A.J. Zaslavski
A certain limit of iterated conditional tail expectation
Set-valued optimization in welfare economics / T.Q. Bao and B.S. Mordukhovich
Convexity of the lower partition range of a concave vector measure / N. Sagara ; M. Vlach
Good locally maximal programs for the Robinson-Solow-Srinivasan model
Historical Perspective
Pythagorean mathematical idealism and the framing of economic and political theory / S.T. Lowry
Research Articles / G. Carlier, Duality and existence for a class of mass transportation problems and economic applications
Functional evolution equations governed by m-accretive operators / Charles Castaing ; Ahmed Gamal Ibrahim
Implicit functions and diffeomorphisms without C / Leonid Hurwcz ; Marcel K. Richter
44.

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図書
Peter J. Cameron
出版情報: Cambridge ; New York : Cambridge University Press, 1999  x, 220 p. ; 24 cm
シリーズ名: London Mathematical Society student texts ; 45
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General theory / 1:
Representation theory / 2:
Coherent configurations / 3:
The O'Nan-Scott theorem / 4:
Oligomorphic groups / 5:
Miscellanea / 6:
Tables / 7:
General theory / 1:
Representation theory / 2:
Coherent configurations / 3:
45.

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図書
大石進一著
出版情報: 東京 : 裳華房, 1999.3  vii, 148p ; 21cm
シリーズ名: 応用解析セミナー
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46.

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図書
edited by Keith M. Ball, Vitali Milman
出版情報: New York : Cambridge University Press, c1999  xx, 236 p. ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; 34
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47.

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図書
edited by Silvio Levy
出版情報: Cambridge [England] : Cambridge University Press, 1999  x, 331 p., [4] p. of col. plates ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; 35
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48.

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図書
S. Tabachnikov, editor
出版情報: Providence, R.I. : American Mathematical Society, c1999  x, 286 p. ; 26 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 190 . Advances in the mathematical sciences (formerly advances in Soviet mathematics) ; 42
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49.

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図書
Ioannis Antoniou and Günter Lumer (editors)
出版情報: Boca Raton, Fla. ; London : Chapman & Hall/CRC Press, c1999  378 p. ; 26 cm
シリーズ名: Research notes in mathematics ; 399
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50.

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図書
edited by David E. Dobbs, Marco Fontana, Salah-Eddine Kabbaj
出版情報: New York : M. Dekker, 1999  xi, 555 p. ; 26 cm
シリーズ名: Lecture notes in pure and applied mathematics ; v. 205
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51.

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Bruno Scarpellini
出版情報: Boca Raton : Chapman & Hall/CRC, c1999  346 p. ; 24 cm
シリーズ名: Research notes in mathematics ; 402
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52.

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editors, H. Bass, A.O. Kuku, C. Pedrini
出版情報: Singapore ; River Edge, N.J. : World Scientific, c1999  xii, 607 p. ; 23 cm
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53.

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図書
C.T.C. Wall
出版情報: Providence, RI : American Mathematical Society, c1999  xv, 302 p. ; 26 cm
シリーズ名: Mathematical surveys and monographs ; v. 69
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目次情報: 続きを見る
Preliminaries: Note on conventions
Basic homotopy notions Surgery below the middle dimension
Appendix: Applications Simple Poincare complexes
The main theorem: Statement of results
An important special case
The even-dimensional case
The odd-dimensional case
The bounded odd-dimensional case
The bounded even-dimensional case
Completion of the proof Patterns of application: Manifold structures on Poincare complexes
Applications to submanifolds Submanifolds: Other techniques
Separating submanifolds Two-sided submanifolds One-sided submanifolds
Calculations and applications: Calculations: Surgery obstruction groups
Calculations: The surgery obstructions
Applications: Free actions on spheres
General remarks An extension of the Atiyah-Singer $G$-signature theorem
Free actions of $S^1$ Fake projective spaces (real) Fake lens spaces
Applications: Free uniform actions on euclidean space
Fake tori Polycyclic groups
Applications to 4-manifolds Postscript: Further ideas and suggestions: Recent work
function space methods Topological manifolds
Poincare embeddings Homotopy and simple homotopy
Further calculations Sullivan's results
Reformulations of the algebra Rational surgery
References
Index
Preliminaries: Note on conventions
Basic homotopy notions Surgery below the middle dimension
Appendix: Applications Simple Poincare complexes
54.

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図書
Graham Everest, Thomas Ward
出版情報: London ; New York ; Tokyo : Springer, c1999  xii, 211 p. ; 24 cm
シリーズ名: Universitext
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55.

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図書
Hajime Sato ; translated by Kiki Hudson
出版情報: Providence, R.I. : American Mathematical Society, 1999  xviii, 118 p. ; 22 cm
シリーズ名: Translations of mathematical monographs ; v. 183 . Iwanami series in modern mathematics
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Objectives Homeomorphisms and homotopy equivalences
Topological spaces and cell complexes
Fundamental groups and higher homotopy groups
Homology Homology groups of cell complexes
Cohomology Homology of product spaces and the universal coefficient theorem
Fiber bundles and vector bundles
Spectral sequences A view from current mathematics
Appendix
Answers to exercises
Recommended reading
Index
Objectives Homeomorphisms and homotopy equivalences
Topological spaces and cell complexes
Fundamental groups and higher homotopy groups
56.

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図書
Gordon Semenoff, Luc Vinet, editors
出版情報: New York : Springer, c1999  xvi, 489 p. ; 24 cm
シリーズ名: CRM series on mathematical physics
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57.

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図書
Michel Weber
出版情報: Paris : Hermann, Éditeurs des sciences et des arts, c1998  150 p. ; 24 cm
シリーズ名: Travaux en cours ; 58
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58.

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図書
Jan R. Magnus and Heinz Neudecker
出版情報: Chichester ; New York : Wiley, c1999  xviii, 395 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Applied probability and statistics
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Matrices: Basic Properties of Vectors and Matrices
Kronecker Products, the Vec Operator and the Moore-Penrose Inverse
Miscellaneous Matrix Results
Differentials: The Theory: Mathematical Preliminaries
Differentials and Differentiability
The Second Differential
Static Optimization
Differentials: The Practice: Some Important Differentials
First Order Differentials and Jacobian Matrices
Second Order Differentials and Hessian Matrices
Inequalities: Inequalities
The Linear Model: Statistical Preliminaries
The Linear Regression Model
Further Topics in the Linear Model
Applications to Maximum Likelihood Estimation: Maximum Likelihood Estimation
Simultaneous Equations
Topics in Psychometrics
Matrices: Basic Properties of Vectors and Matrices
Kronecker Products, the Vec Operator and the Moore-Penrose Inverse
Miscellaneous Matrix Results
59.

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図書
N.J. Hitchin, G.B. Segal and R.S. Ward
出版情報: Oxford : Clarendon Press, 1999  viii, 136 p. ; 24 cm
シリーズ名: Oxford graduate texts in mathematics ; 4
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60.

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editors of the volume, Bronisław Jakubczyk, Wiesław Pawłucki, Jacek Stasica
出版情報: Warszawa : Institute of Mathematics, Polish Academy of Sciences, 1998  292 p. ; 24 cm
シリーズ名: Banach Center publications ; v. 44
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61.

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図書
Adhemar Bultheel ... [et al.]
出版情報: New York : Cambridge University Press, 1999  xiv, 407 p. ; 24 cm
シリーズ名: Cambridge monographs on applied and computational mathematics ; 5
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目次情報: 続きを見る
List of symbols
Introduction
Preliminaries / 1:
The fundamental spaces / 2:
The kernal functions / 3:
Recurrence for orthogonal functions / 4:
Quadrature / 5:
Interpolation / 6:
Density of the rational functions / 7:
Favard theorems / 8:
Convergence / 9:
Moment problems / 10:
The boundary case / 11:
Some applications / 12:
Conclusion
Bibliography
The kernel functions
Recurrence and second kind functions
Para-orthogonality and quadrature
Index
List of symbols
Introduction
Preliminaries / 1:
62.

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図書
Paul Taylor
出版情報: Cambridge ; New York : Cambridge University Press, 1999  xi, 572 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; 59
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First order reasoning / 1:
Types and induction / 2:
Posets and lattices / 3:
Cartesian closed categories / 4:
Limits and colimits / 5:
Structural recursion / 6:
Adjunctions / 7:
Algebra with dependent types / 8:
The quantifiers / 9:
First order reasoning / 1:
Types and induction / 2:
Posets and lattices / 3:
63.

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図書
edited by Freddy Van Oystaeyen
出版情報: New York : Marcel Dekker, c1999  xviii, 312 p. ; 26 cm
シリーズ名: Lecture notes in pure and applied mathematics ; v. 206
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64.

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図書
A.V. Melʹnikov ; [translated from the Russian by H.H. McFaden]
出版情報: Providence, R.I. : American Mathematical Society, c1999  xiv, 133 p. ; 26 cm
シリーズ名: Translations of mathematical monographs ; v. 184
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65.

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図書
Francis Hirsch, Gilles Lacombe ; translated by Silvio Levy
出版情報: New York ; Tokyo : Springer, c1999  xiv, 393 p. ; 24 cm
シリーズ名: Graduate texts in mathematics ; 192
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66.

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図書
西岡弘明著
出版情報: 東京 : コロナ社, 1999.5  v, 182p ; 21cm
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67.

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図書
James D. Lewis
出版情報: Providence, R.I. : American Mathematical Society, c1999  xvi, 368 p. ; 26 cm
シリーズ名: CRM monograph series ; v. 10
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目次情報: 続きを見る
Complex manifolds Vector bundles Kahler manifolds Line bundles
The Lefschetz (1,1) theorem
The Lefschetz (1,1) theorem revisited
Formulation of the general Hodge conjecture
Chern class theory Cohomology of complete intersections
The Hodge theorem Analytic and topological necessities of the Kahler condition Intermediate
Jacobians Various approaches to the Hodge conjecture for varieties with well understood geometric structure
The approach to the Hodge conjecture via normal functions
Hodge theory and Chow groups Results and formulations in the singular case
A survey of the Hodge conjecture for abelian varieties Index
Index of notation
Complex manifolds Vector bundles Kahler manifolds Line bundles
The Lefschetz (1,1) theorem
The Lefschetz (1,1) theorem revisited
68.

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図書
Gerald E. Farin
出版情報: Natick, Mass : A.K. Peters, c1999  xv, 267 p. ; 25 cm
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69.

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H. クネーラー著 ; 金井省二, 秋葉繁夫訳
出版情報: 東京 : シュプリンガー・フェアラーク東京, 1999.4  2冊 ; 21cm
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70.

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Sergey P. Kiselev, Evgenii V. Vorozhtsov, Vasily M. Fomin
出版情報: Boston : Birkhäuser, c1999  xiv, 575 p. ; 25 cm
シリーズ名: Modeling and simulation in science, engineering & technology
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71.

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図書
David C. Heath, Glen Swindle, editors
出版情報: Providence, R.I. : American Mathematical Society, c1999  ix, 167 p. ; 27 cm
シリーズ名: Proceedings of symposia in applied mathematics ; v. 57 . AMS short course lecture notes
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72.

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図書
edited by Robert P. Gilbert, Joji Kajiwara and Yongzhi S. Xu
出版情報: Dordrecht ; London : Kluwer Academic, c1999  vii, 384 p. ; 25 cm
シリーズ名: International Society for Analysis, Applications, and Computation ; v. 4
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73.

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図書
edited by Károly Böröczky, Jr., Walter Neumann, András Stipsicz
出版情報: Budapest : János Bolyai Mathematical Society, 1999  413 p. ; 25 cm
シリーズ名: Bolyai Society mathematical studies ; 8
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74.

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図書
editor of the volume, Jerzy Jezierski
出版情報: Warszawa : Institute of Mathematics, Polish Academy of Science, 1999  268 p. ; 24 cm
シリーズ名: Banach Center publications ; v. 49
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75.

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図書
edited by Michael Schneider, Yum-Tong Siu
出版情報: Cambridge : Cambridge University Press, c1999  xii, 564 p. ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; 37
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76.

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図書
Yves Meyer
出版情報: Providence, R.I. : American Mathematical Society, c1998  ix, 133 p. ; 27 cm
シリーズ名: CRM monograph series ; v. 9
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77.

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図書
David Spring
出版情報: Basel ; Boston : Birkhäuser Verlag, c1998  viii, 212 p. ; 24 cm
シリーズ名: Monographs in mathematics ; v. 92
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78.

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図書
J.W.P. Hirschfeld
出版情報: Oxford : Clarendon Press, 1998  xiv, 555 p. ; 24 cm
シリーズ名: Oxford mathematical monographs
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Introduction / I:
Finite fields / 1:
Projective spaces and algebraic varieties / 2:
Elementary general properties / II:
Subspaces / 3:
Partitions / 4:
Canonical forms for varieties and polarities / 5:
The line and the plane / III:
The line / 6:
First properties of the plane / 7:
Ovals / 8:
Arithmetic of arcs of degree two / 9:
Arcs in ovals / 10:
Cubic curves / 11:
Arcs of higher degree / 12:
Blocking sets / 13:
Small planes / 14:
Appendix
Notation
References
Introduction / I:
Finite fields / 1:
Projective spaces and algebraic varieties / 2:
79.

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図書
J. Scott Carter, Masahico Saito
出版情報: Providence, R.I. : American Mathematical Society, c1998  xi, 258 p. ; 27cm
シリーズ名: Mathematical surveys and monographs ; v. 55
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80.

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図書
David A. Cox and Bernd Sturmfels, editors ; Dinesh Manocha ... [et al., authors]
出版情報: Providence, R.I. : American Mathematical Society, c1998  ix, 172 p. ; 27 cm
シリーズ名: Proceedings of symposia in applied mathematics ; v. 53 . AMS short course lecture notes
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81.

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図書
Abbas Bahri
出版情報: Harlow, Essex : Addison Wesley Longman, 1998  326 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 378
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82.

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図書
M Bach, C Constanda, G C Hsiao, A-M Sändig and P Werner (Editors)
出版情報: Harlow, Essex : Addison Wesley Longman, 1998  256 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 379
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83.

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図書
Gerald A. Edgar
出版情報: New York, NY : Springer, c1998  x, 286 p. ; 25 cm
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84.

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図書
D.F. Griffiths, D.J. Higham and G.A. Watson (editors)
出版情報: Harlow : Addison Wesley Longman, 1998  254 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 380
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85.

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図書
E.M. Landis ; [translated by Tamara Rozhkovskaya]
出版情報: Providence, R.I. : American Mathematical Society, c1998  xii, 203 p. ; 27 cm
シリーズ名: Translations of mathematical monographs ; v. 171
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Elliptic equations in nondivergence form
Elliptic equations in divergence form
Parabolic equations
Appendix
Bibliography
Index
Elliptic equations in nondivergence form
Elliptic equations in divergence form
Parabolic equations
86.

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図書
Alfred Gray
出版情報: Boca Raton, Fla. : CRC Press, c1998  xxiv, 1053 p., [8] p. of plates ; 27 cm
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87.

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図書
Albrecht Beutelspacher and Ute Rosenbaum
出版情報: Cambridge : Cambridge University Press, 1998  x, 258 p. ; 24 cm
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88.

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図書
Mark Pollicott, Michiko Yuri
出版情報: Cambridge : Cambridge University Press, 1998  xiii, 179 p. ; 24 cm
シリーズ名: London Mathematical Society student texts ; 40
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目次情報: 続きを見る
Introduction and preliminaries
Topological Dynamics / Part I:
Examples and basic properties / 1:
An application of recurrence to arithmetic progressions / 2:
Topological entropy / 3:
Interval maps / 4:
Hyperbolic toral automorphisms / 5:
Rotation numbers / 6:
Measurable Dynamics / Part II:
Invariant measures / 7:
Measure theoretic entropy / 8:
Ergodic measures / 9:
Ergodic theorems / 10:
Mixing / 11:
Statistical properties / 12:
Supplementary / Part III:
Fixed points for the annulus / Chapters: 13:
Variational principle / 14:
Invariant measures for commuting transformations / 15:
An application of ergodic theory to arithmetic progressions / 16:
Introduction and preliminaries
Topological Dynamics / Part I:
Examples and basic properties / 1:
89.

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図書
editors, N. Kono, N-R.Shieh
出版情報: Singapore : World Scientific, c1997  viii, 355 p. ; 23 cm
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90.

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図書
Donald J. Newman
出版情報: New York ; Tokyo : Springer, c1998  viii, 76 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 177
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目次情報: 続きを見る
Introduction and dedication
The idea of analytic number theory
The partition function
The Erdos-Fuchs theorem
Sequences without arithmetic progressions
The Waring problem
A "Natural" Proof of the Non-vanishing of L-Series
Simple Analytic Proof of the Prime Number Theorem
Index
Introduction and dedication
The idea of analytic number theory
The partition function
91.

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図書
F.H. Clarke ... [et al.]
出版情報: New York ; Tokyo : Springer, c1998  xii, 276 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 178
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92.

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図書
Renato Spigler, Stephanos Venakides, editors
出版情報: Providence, Rhode Island : American Mathematical Society, c1998  xi, 392 p. ; 26 cm
シリーズ名: Proceedings of symposia in applied mathematics ; v. 54
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Scaling laws and vanishing viscosity limits in turbulence theory / G. I. Barenblatt ; A. J. Chorin
Potential theory in Hilbert spaces / P. Cannarsa ; G. Da Prato
Recent developments in the theory of the Boltzmann equation / C. Cercignani
New results for the asymptotics of orthogonal polynomials and related problems via the Lax-Levermore method / P. Deift ; T. Kriecherbauer ; K. T.-R. McLaughlin
Evolution of trajectory correlations in steady random flows / A. Fannjiang ; L. Ryzhik ; G. Papanicolaou
Integrability: From d'Alembert to Lax / A. S. Fokas
Methods in the theory of quasi periodic motions / G. Gallavotti
Fourier analysis and nonlinear wave equations / S. Klainerman
The KdV zero-dispersion limit and densities of Dirichlet spectra / C. D. Levermore
On Boltzmann equation and its applications / P.-L. Lions
Simplified asymptotic equations for slender vortex filaments / A. J. Majda
Homoclinic orbits for pde's / D. W. McLaughlin ; J. Shatah
Lagrangian metrics on fractals / U. Mosco
Approximate solutions of nonlinear conservation laws and related equations / E. Tadmor
The small dispersion KdV equation with decaying initial data / S. Venakides
Scaling laws and vanishing viscosity limits in turbulence theory / G. I. Barenblatt ; A. J. Chorin
Potential theory in Hilbert spaces / P. Cannarsa ; G. Da Prato
Recent developments in the theory of the Boltzmann equation / C. Cercignani
93.

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図書
Anton Bovier, Pierre Picco, editors
出版情報: Boston : Birkhauser, c1998  viii, 382 p. ; 25 cm
シリーズ名: Progress in probability / series editors, Thomas Liggett, Charles Newman, Loren Pitt ; 41
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94.

図書

図書
L. Decreusefond ... [et al.], editors
出版情報: Boston : Birkhäuser, c1998  vi, 408 p. ; 25 cm
シリーズ名: Progress in probability / series editors, Thomas Liggett, Charles Newman, Loren Pitt ; 42
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95.

図書

図書
Alejandro Adem ... [et al.], editors
出版情報: Providence, R.I. : American Mathematical Society, c1998  xiii, 532 p. ; 27 cm
シリーズ名: Proceedings of symposia in pure mathematics ; v. 63
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目次情報: 続きを見る
On the cohomology of Coxeter groups and their finite parabolic subgroups. II / T. Akita
Linear source modules and trivial source modules / R. Boltje
Resolutions de foncteurs de Mackey / S. Bouc
Homotopy uniqueness of $BPU(3)$ / C. Broto ; A. Viruel
Lowering operators for $GL(n)$ and quantum $GL(n)$ / J. Brundan
Homomorphisms in higher complexity quotient categories / J. F. Carlson ; W. W. Wheeler
On the homotopy theory of $p$-completed classifying spaces / F. R. Cohen ; R. Levi
$H^*V$ is of bounded type over $\mathcal{A}(p)$ / M. D. Crossley
Classifying spaces of central group extensions / J. Dietz ; T. Ratliff
Sharp homology decompositions for classifying spaces of finite groups / W. G. Dwyer
On the geometry and cohomology of the simple groups $G_2(q)$ and $^3D_4(q)$ / P. Fong ; R. J. Milgram
Transfer and Chern classes for extraspecial $p$-groups / D. J. Green ; P. A. Minh
The infinite order of the symplectic classes in the cohomology of the stable mapping class group / R. Grieder
A variant of the proof of the Landweber Stong conjecture / H.-W. Henn
Unstable modules over the Steenrod algebra and cohomology of groups
The category of Mackey functors for a compact Lie group / L. G. Lewis
Comparison of extensions of modules for algebraic groups and quantum groups / Z. Lin
The defect of the completion of a Green functor / F. Luca
Simple modules of Ariki-Koike algebras / A. Mathas
On the geometry and cohomology of the simple groups $G_2(q)$ and $^3D_4(q)$: II
On the relation between simple groups and homotopy theory
Varieties for $G_rT$-modules / D. K. Nakano
On defect groups of the Mackey algebras for finite groups / F. Oda
Applications of stable classifying space theory to group cohomology / S. Priddy
The spectra $k$ and $kO$ are not Thom spectra / Yu. B. Rudyak
The code of a regular generalized quadrangle of even order / N. S. N. Sastry ; P. Sin
Quivers of blocks with normal defect group / M. Schaps ; D. Shapira ; O. Shlomo
Cohomology of a homogeneous space $E_6/T^1 \cdot SU(6)$ / T. Watanabe
Problem session, Seattle 1996 / D. Benson
On the cohomology of Coxeter groups and their finite parabolic subgroups. II / T. Akita
Linear source modules and trivial source modules / R. Boltje
Resolutions de foncteurs de Mackey / S. Bouc
96.

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図書
I.G. Macdonald
出版情報: Providence, R.I. : American Mathematical Society, c1998  xv, 53 p. ; 26 cm
シリーズ名: University lecture series ; 12
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97.

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図書
Yakov M. Eliashberg, William P. Thurston
出版情報: Providence, R.I. : American Mathematical Society, c1998  ix, 66 p. ; 26 cm
シリーズ名: University lecture series ; 13
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98.

図書

図書
Katsumi Nomizu, editor
出版情報: Providence, R.I. : Amercican Mathematical Society, c1998  x, 143 p. ; 27 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 183
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Harmonic analysis on homogeneous manifolds of reductive type and unitary representation theory / T. Kobayashi
Actions of loop groups, deformations of harmonic maps, and their applications / M. A. Guest ; Y. Ohnita
The Capelli identities, a century after / T. Umeda
On representation of the classical groups / K. Koike
Around the theory of the generalized weight system: Relations with singularity theory, the generalized Weyl group and its invariant theory, etc. / K. Saito
Harmonic analysis on homogeneous manifolds of reductive type and unitary representation theory / T. Kobayashi
Actions of loop groups, deformations of harmonic maps, and their applications / M. A. Guest ; Y. Ohnita
The Capelli identities, a century after / T. Umeda
99.

図書

図書
Ya.G. Berkovich, E.M. Zhmudʹ
出版情報: Providence, R.I. : American Mathematical Society, c1998-c1999  2 v. ; 27 cm
シリーズ名: Translations of mathematical monographs ; v. 172, 181
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目次情報: 続きを見る
Degrees and kernels of irreducible characters
Involutions Connectedness and Zassenhaus groups
The Nagao theorem
Linear groups Permutation characters Characters of SL$(2,p^n)$
Zeros of characters
The Schur index On degrees of irreducible components of induced characters Groups in which only two nonlinear irreducible characters have equal degrees
Groups with small sums of degrees of some characters
On sums of degrees of irreducible characters
Groups whose nonlinear irreducible characters take three distinct values
Nonsolvable groups with many involutions
On kernels of nonlinear irreducible characters
On monolithic characters
The class number Problems
Notes on the bibliography
Bibliography
Author index
Subject index
List of corrections to part 1
Degrees and kernels of irreducible characters
Involutions Connectedness and Zassenhaus groups
The Nagao theorem
100.

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図書
John A. Nohel, David H. Sattinger, editors
出版情報: Boston : Birkhäuser, c1998  2 v. ; 27 cm
シリーズ名: Contemporary mathematicians
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