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図書

図書
edited by D.A. Caughey, M.M. Hafez
出版情報: Singapore : World Scientific, c2002  xv, 506 p. ; 24 cm
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図書

図書
Robert M. Mazo
出版情報: Oxford : Clarendon Press, 2002  xii, 289 p. ; 24 cm
シリーズ名: The international series of monographs on physics ; 112
Oxford science publications
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目次情報: 続きを見る
Historical Background / 1:
Robert Brown / 1.1:
Between Brown and Einstein / 1.2:
Albert Einstein / 1.3:
Marian von Smoluchowski / 1.4:
Molecular Reality / 1.5:
The Scope of this Book / 1.6:
Probability Theory / 2:
Probability / 2.1:
Conditional Probability and Independence / 2.2:
Random Variables and Probability Distributions / 2.3:
Expectations and Particular Distributions / 2.4:
Characteristic Function; Sums of Random Variables / 2.5:
Conclusion / 2.6:
Stochastic Processes / 3:
Distribution Functions / 3.1:
Classification of Stochastic Processes / 3.3:
The Fokker-Planck Equation / 3.4:
Some Special Processes / 3.5:
Calculus of Stochastic Processes / 3.6:
Fourier Analysis of Random Processes / 3.7:
White Noise / 3.8:
Einstein-Smoluchowski Theory / 3.9:
What is Brownian Motion? / 4.1:
Smoluchowski's Theory / 4.2:
Smoluchowski Theory Continued / 4.3:
Einstein's Theory / 4.4:
Diffusion Coefficient and Friction Constant / 4.5:
The Langevin Theory / 4.6:
Stochastic Differential Equations and Integrals / 5:
The Langevin Equation Revisited / 5.1:
Stochastic Differential Equations / 5.2:
Which Rule Should Be Used? / 5.3:
Some Examples / 5.4:
Functional Integrals / 6:
The Wiener Integral / 6.1:
Wiener Measure / 6.3:
The Feynman-Kac Formula / 6.4:
Feynman Path Integrals / 6.5:
Evaluation of Wiener Integrals / 6.6:
Applications of Functional Integrals / 6.7:
Some Important Special Cases / 7:
Several Cases of Interest / 7.1:
The Free Particle / 7.2:
The Distribution of Displacements / 7.3:
The Harmonically Bound Particle / 7.4:
A Particle in a Constant Force Field / 7.5:
The Uniaxial Rotor / 7.6:
An Equation for the Distribution of Displacements / 7.7:
Discussion / 7.8:
The Smoluchowski Equation / 8:
The Kramers-Klein Equation / 8.1:
Elimination of Fast Variables / 8.2:
The Smoluchowski Equation Continued / 8.4:
Passage over Potential Barriers / 8.5:
Concluding Remarks / 8.6:
Random Walk / 9:
The Random Walk / 9.1:
The One-Dimensional Pearson Walk / 9.2:
The Biased Random Walk / 9.3:
The Persistent Walk / 9.4:
Boundaries and First Passage Times / 9.5:
Random Remarks on Random Walks / 9.6:
Statistical Mechanics / 10:
Molecular Distribution Functions / 10.1:
The Liouville Equation / 10.2:
Projection Operators--The Zwanzig Equation / 10.3:
Projection Operators--The Mori Equation / 10.4:
Stochastic Equations from a Statistical Mechanical Viewpoint / 10.5:
The Langevin Equation A Heuristic View / 11.1:
The Fokker-Planck Equation--A Heuristic View / 11.2:
What is Wrong with these Derivations? / 11.3:
Eliminating Fast Processes / 11.4:
The Distribution Function / 11.5:
Two Exactly Treatable Models / 11.6:
Two Illustrative Examples / 12.1:
Brownian Motion in a Dilute Gas / 12.2:
The Particle Bound to a Lattice / 12.3:
The One-Dimensional Case / 12.5:
Brownian Motion and Noise / 12.6:
Limits on Measurement / 13.1:
Oscillations of a Fiber / 13.2:
A Pneumatic Example / 13.3:
Electrical Systems / 13.4:
Diffusion Phenomena / 13.5:
Brownian Motion in Configuration Space / 14.1:
Diffusion Controlled Reactions / 14.2:
The Effect of Forces / 14.3:
The Coagulation of Colloids / 14.4:
Taylor Diffusion / 14.5:
Rotational Diffusion / 15:
Fluorescence Depolarization / 15.1:
Non-Spherical Brownian Particles / 15.3:
Polymer Solutions / 15.4:
A Model for Dilute Solutions of Polymers / 16.1:
Hydrodynamic Interaction / 16.2:
The Equation of Motion / 16.3:
Diffusion and Intrinsic Viscosity / 16.4:
Historical Remarks and Additional Reading / 16.5:
Interacting Brownian Particles / 17:
Effects of Concentration / 17.1:
The Multiparticle Smoluchowski Equation / 17.2:
The Diffusion Coefficient / 17.4:
The Viscosity / 17.5:
Dynamics, Fractals, and Chaos / 17.6:
Brownian Dynamics / 18.1:
Brownian Paths as Fractals / 18.2:
Brownian Motion and Chaos / 18.3:
The Applicability of Stokes' Law / 18.4:
Functional Calculus / B:
An Operator Identity / C:
Euler Angles / D:
The Oseen Tensor / E:
Mutual Diffusion and Self-Diffusion / F:
Mutual Diffusion / F.1:
Self-Diffusion / F.2:
Relation between D[subscript m] and D[subscript s] / F.3:
References
Index
Historical Background / 1:
Robert Brown / 1.1:
Between Brown and Einstein / 1.2:
3.

図書

図書
edited by Makoto Maejima, Tokuzo Shiga
出版情報: New Jersey : World Scientific, c2002  xi, 430 p. ; 26 cm
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4.

図書

図書
[the Institute for Electrical and Electronics Engineers ...[et al.]
出版情報: Piscataway, NJ : IEEE Operations Center, c2001  7v. (lxxxii, 3338 p.) ; 28 cm
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5.

図書

図書
edited by Antonio Bassetto ...[et al.]
出版情報: Amsterdam : North-Holland, 2002.4  xiv, 346 p. ; 27 cm
シリーズ名: Nuclear physics. B, Proceedings, supplements ; 108
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6.

図書

図書
Editors: G. W. A. Dummer and J. Mackenzie Robertson
出版情報: Oxford : Pergamon Press, c1968  xxvii, 831 p ; 28 cm
シリーズ名: Pergamon electronics data series
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7.

図書

図書
Matthew Gandy
出版情報: Cambridge, Mass. : MIT Press, c2002  xi, 344 p. ; 24 cm
シリーズ名: Urban and industrial environments / series editor, Robert Gottlieb
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目次情報: 続きを見る
Preface
Introduction
Water, Space, and Power / 1:
Water and the Nascent Civic Realm / 1.1:
Engineering the Technological Sublime / 1.2:
Urban Decay and the Hidden City / 1.3:
Paranoid Urbanism / 1.4:
Hydrological Transformations / 1.5:
Symbolic Order and the Urban Pastoral / 2:
Cultural Anxiety, Land Speculation, and Public Space / 2.1:
Creating the Garden of a Great City / 2.2:
Olmsted's Urban Vision: A Fragile Synthesis / 2.3:
Olmsted Rediscovered: An Emerging Preservationist Ethic / 2.4:
Emerald Dreams / 2.5:
Technological Modernism and the Urban Parkway / 3:
The Automobilization of the American Landscape / 3.1:
Robert Moses and the Radiant City / 3.2:
The Demise of Technological Modernism / 3.3:
Fractured Cities / 3.4:
Between Borinquen and the Barrio / 4:
Landscapes of Despair / 4.1:
Space, Identity, and Power / 4.2:
Disarray in the 1970s / 4.3:
The Power of Memory / 4.4:
Rustbelt Ecology / 5:
Across the Great Divide / 5.1:
Pollution and the Politics of Resistance / 5.2:
Reclaiming the Social Environment / 5.3:
Trash Can Utopias / 5.4:
Epilogue
Notes
Index
Preface
Introduction
Water, Space, and Power / 1:
8.

図書

図書
Juan Arias de Reyna
出版情報: Berlin ; Tokyo : Springer, c2002  xviii, 175 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1785
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目次情報: 続きを見る
Preface
Introduction
About the notation
Fourier series and Hilbert Transform / Part I:
Hardy-Littlewood maximal function / 1:
Weak Inequality / 1.1:
Differentiability / 1.3:
Interpolation / 1.4:
A general inequality / 1.5:
Fourier Series / 2:
Dirichlet / 2.1:
Fourier Series of Continuous Functions / 2.3:
Banach continuity principle / 2.4:
Summability / 2.5:
The Conjugate Function / 2.6:
The Hilbert transform on R / 2.7:
The conjecture of Luzin / 2.8:
Hilbert Transform / 3:
The Hilbert Transform / 3.1:
Maximal Hilbert Transform / 3.6:
The Carleson-Hunt Theorem / Part II:
The Basic Step / 4:
Carleson maximal operator / 4.1:
Local norms / 4.3:
Dyadic Partition / 4.4:
Some definitions / 4.5:
Basic decomposition / 4.6:
The first term / 4.7:
Notation ?/? / 4.8:
The second term / 4.9:
The third term / 4.10:
First form of the basic step / 4.11:
Some comments about the proof / 4.12:
Choosing the partition ?? The norm || / 4.13:
Basic theorem, second form / 4.14:
Maximal inequalities / 5:
Maximal inequalities for ?(?, ×) / 5.1:
Maximal inequalities for Hf / 5.2:
Growth of Partial Sums / 6:
The seven trick / 6.1:
The exceptional set / 6.3:
Bound for the partial sums / 6.4:
Carleson Analysis of the Function / 7:
A musical interlude / 7.1:
The notes of f / 7.3:
The set X / 7.4:
The set S / 7.5:
Allowed pairs / 8:
The length of the notes / 8.1:
Well situated notes / 8.2:
The length of well situated notes / 8.3:
Pair Interchange Theorems / 8.4:
Choosing the shift m / 9.1:
A bound of || f|| ? / 9.3:
Selecting an allowed pair / 9.4:
All together / 10:
End of proof / 10.1:
Consequences / Part III:
Some spaces of functions / 11:
Decreasing rearrangement / 11.1:
The Lorentz spaces Lp,1(µ) and Lp,?(µ) / 11.3:
Marcinkiewicz interpolation theorem / 11.4:
Spaces near L1(µ) / 11.5:
The spaces Llog L(µ) and Lexp(µ) / 11.6:
The Maximal Operator of Fourier series / 12:
Maximal operator of Fourier series / 12.1:
The maximal space Q / 12.3:
The theorem of Antonov / 12.8:
Fourier transform on the line / 13:
Fourier transform / 13.1:
References
Comments
Subject Index
Preface
Introduction
About the notation
9.

図書

図書
Hideaki Ishii, Bruce A. Francis
出版情報: Berlin : Springer, c2002  ix, 173 p. ; 24 cm
シリーズ名: Lecture notes in control and information sciences ; 275
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Introduction
Control Networks
Distributed Control over Networks
Finite Data Rate Control
Single-Input Case
Towards Data Rate Reduction
Extensions for the Multiple Input Case
Conclusion
Introduction
Control Networks
Distributed Control over Networks
10.

図書

図書
Bruce A. Magurn
出版情報: Cambridge : Cambridge University Press, 2002  xiv, 676 p. ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 87
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目次情報: 続きを見る
Preface
Preliminaries / Chapter 0:
Groups of Modules: K[subscript 0] / Part I:
Free Modules / Chapter 1:
Bases / 1A:
Matrix Representations / 1B:
Absence of Dimension / 1C:
Projective Modules / Chapter 2:
Direct Summands / 2A:
Summands of Free Modules / 2B:
Grothendieck Groups / Chapter 3:
Semigroups of Isomorphism Classes / 3A:
Semigroups to Groups / 3B:
Resolutions / 3C:
Stability for Projective Modules / Chapter 4:
Adding Copies of R / 4A:
Stably Free Modules / 4B:
When Stably Free Modules Are Free / 4C:
Stable Rank / 4D:
Dimensions of a Ring / 4E:
Multiplying Modules / Chapter 5:
Semirings / 5A:
Burnside Rings / 5B:
Tensor Products of Modules / 5C:
Change of Rings / Chapter 6:
K[subscript 0] of Related Rings / 6A:
G[subscript 0] of Related Rings / 6B:
K[subscript 0] as a Functor / 6C:
The Jacobson Radical / 6D:
Localization / 6E:
Sources of K[subscript 0] / Part II:
Number Theory / Chapter 7:
Algebraic Integers / 7A:
Dedekind Domains / 7B:
Ideal Class Groups / 7C:
Extensions and Norms / 7D:
K[subscript 0] and G[subscript 0] of Dedekind Domains / 7E:
Group Representation Theory / Chapter 8:
Linear Representations / 8A:
Representing Finite Groups Over Fields / 8B:
Semisimple Rings / 8C:
Characters / 8D:
Groups of Matrices: K[subscript 1] / Part III:
Definition of K[subscript 1] / Chapter 9:
Elementary Matrices / 9A:
Commutators and K[subscript 1](R) / 9B:
Determinants / 9C:
The Bass K[subscript 1] of a Category / 9D:
Stability for K[subscript 1](R) / Chapter 10:
Surjective Stability / 10A:
Injective Stability / 10B:
Relative K[subscript 1] / Chapter 11:
Congruence Subgroups of GL[subscript n](R) / 11A:
Congruence Subgroups of SL[subscript n](R) / 11B:
Mennicke Symbols / 11C:
Relations Among Matrices: K[subscript 2] / Part IV:
K[subscript 2](R) and Steinberg Symbols / Chapter 12:
Definition and Properties of K[subscript 2](R) / 12A:
Elements of St(R) and K[subscript 2](R) / 12B:
Exact Sequences / Chapter 13:
The Relative Sequence / 13A:
Excision and the Mayer-Vietoris Sequence / 13B:
The Localization Sequence / 13C:
Universal Algebras / Chapter 14:
Presentation of Algebras / 14A:
Graded Rings / 14B:
The Tensor Algebra / 14C:
Symmetric and Exterior Algebras / 14D:
The Milnor Ring / 14E:
Tame Symbols / 14F:
Norms on Milnor K-Theory / 14G:
Matsumoto's Theorem / 14H:
Sources of K[subscript 2] / Part V:
Symbols in Arithmetic / Chapter 15:
Hilbert Symbols / 15A:
Metric Completion of Fields / 15B:
The p-Adic Numbers and Quadratic Reciprocity / 15C:
Local Fields and Norm Residue Symbols / 15D:
Brauer Groups / Chapter 16:
The Brauer Group of a Field / 16A:
Splitting Fields / 16B:
Twisted Group Rings / 16C:
The K[subscript 2] Connection / 16D:
Appendix
Sets, Classes, Functions / A:
Chain Conditions, Composition Series / B:
Special Symbols
References
Index
Preface
Preliminaries / Chapter 0:
Groups of Modules: K[subscript 0] / Part I:
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