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1.

図書

図書
Ali Hasan Nayfeh
出版情報: New York : Wiley, c1973  xii, 425 p. ; 23 cm
シリーズ名: Pure and applied mathematics
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Introduction / 1.:
Parameter Perturbations / 1.1.:
An Algebraic Equation / 1.1.1.:
The van der Pol Oscillator / 1.1.2.:
Coordinate Perturbations / 1.2.:
The Bessel Equation of Zeroth Order / 1.2.1.:
A Simple Example / 1.2.2.:
Order Symbols and Gauge Functions / 1.3.:
Asymptotic Expansions and Sequences / 1.4.:
Asymptotic Series / 1.4.1.:
Asymptotic Expansions / 1.4.2.:
Uniqueness of Asymptotic Expansions / 1.4.3.:
Convergent versus Asymptotic Series / 1.5.:
Nonuniform Expansions / 1.6.:
Elementary Operations on Asymptotic Expansions / 1.7.:
Exercises
Straightforward Expansions and Sources of Nonuniformity / 2.:
Infinite Domains / 2.1.:
The Duffing Equation / 2.1.1.:
A Model for Weak Nonlinear Instability / 2.1.2.:
Supersonic Flow Past a Thin Airfoil / 2.1.3.:
Small Reynolds Number Flow Past a Sphere / 2.1.4.:
A Small Parameter Multiplying the Highest Derivative / 2.2.:
A Second-Order Example / 2.2.1.:
High Reynolds Number Flow Past a Body / 2.2.2.:
Relaxation Oscillations / 2.2.3.:
Unsymmetrical Bending of Prestressed Annular Plates / 2.2.4.:
Type Change of a Partial Differential Equation / 2.3.:
Long Waves on Liquids Flowing down Incline Planes / 2.3.1.:
The Presence of Singularities / 2.4.:
Shift in Singularity / 2.4.1.:
The Earth-Moon-Spaceship Problem / 2.4.2.:
Thermoelastic Surface Waves / 2.4.3.:
Turning Point Problems / 2.4.4.:
The Role of Coordinate Systems / 2.5.:
The Method of Strained Coordinates / 3.:
The Method of Strained Parameters / 3.1.:
The Lindstedt-Poincare Method / 3.1.1.:
Transition Curves for the Mathieu Equation / 3.1.2.:
Characteristic Exponents for the Mathieu Equation (Whittaker's Method) / 3.1.3.:
The Stability of the Triangular Points in the Elliptic Restricted Problem of Three Bodies / 3.1.4.:
Characteristic Exponents for the Triangular Points in the Elliptic Restricted Problem of Three Bodies / 3.1.5.:
A Simple Linear Eigenvalue Problem / 3.1.6.:
A Quasi-Linear Eigenvalue Problem / 3.1.7.:
The Quasi-Linear Klein-Gordon Equation / 3.1.8.:
Lighthill's Technique / 3.2.:
A First-Order Differential Equation / 3.2.1.:
The One-Dimensional Earth-Moon-Spaceship Problem / 3.2.2.:
A Solid Cylinder Expanding Uniformly in Still Air / 3.2.3.:
Expansions by Using Exact Characteristics--Nonlinear Elastic Waves / 3.2.4.:
Temple's Technique / 3.3.:
Renormalization Technique / 3.4.:
Limitations of the Method of Strained Coordinates / 3.4.1.:
The Methods of Matched and Composite Asymptotic Expansions / 3.5.1.:
The Method of Matched Asymptotic Expansions / 4.1.:
Introduction--Prandtl's Technique / 4.1.1.:
Higher Approximations and Refined Matching Procedures / 4.1.2.:
A Second-Order Equation with Variable Coefficients / 4.1.3.:
Reynolds' Equation for a Slider Bearing / 4.1.4.:
The Method of Composite Expansions / 4.1.5.:
A Second-Order Equation with Constant Coefficients / 4.2.1.:
An Initial Value Problem for the Heat Equation / 4.2.2.:
Limitations of the Method of Composite Expansions / 4.2.4.:
Variation of Parameters and Methods of Averaging / 5.:
Variation of Parameters / 5.1.:
Time-Dependent Solutions of the Schrodinger Equation / 5.1.1.:
A Nonlinear Stability Example / 5.1.2.:
The Method of Averaging / 5.2.:
Van der Pol's Technique / 5.2.1.:
The Krylov-Bogoliubov Technique / 5.2.2.:
The Generalized Method of Averaging / 5.2.3.:
Struble's Technique / 5.3.:
The Krylov-Bogoliubov-Mitropolski Technique / 5.4.:
The Duffiing Equation / 5.4.1.:
The Klein-Gordon Equation / 5.4.2.:
The Method of Averaging by Using Canonical Variables / 5.5.:
The Mathieu Equation / 5.5.1.:
A Swinging Spring / 5.5.3.:
Von Zeipel's Procedure / 5.6.:
Averaging by Using the Lie Series and Transforms / 5.6.1.:
The Lie Series and Transforms / 5.7.1.:
Generalized Algorithms / 5.7.2.:
Simplified General Algorithms / 5.7.3.:
A Procedure Outline / 5.7.4.:
Algorithms for Canonical Systems / 5.7.5.:
Averaging by Using Lagrangians / 5.8.:
A Model for Dispersive Waves / 5.8.1.:
A Model for Wave-Wave Interaction / 5.8.2.:
The Nonlinear Klein-Gordon Equation / 5.8.3.:
The Method of Multiple Scales / 6.:
Description of the Method / 6.1.:
Many-Variable Version (The Derivative-Expansion Procedure) / 6.1.1.:
The Two-Variable Expansion Procedure / 6.1.2.:
Generalized Method--Nonlinear Scales / 6.1.3.:
Applications of the Derivative-Expansion Method / 6.2.:
Forced Oscillations of the van der Pol Equation / 6.2.1.:
Parametric Resonances--The Mathieu Equation / 6.2.4.:
The van der Pol Oscillator with Delayed Amplitude Limiting / 6.2.5.:
Limitations of the Derivative-Expansion Method / 6.2.6.:
Limitations of This Technique / 6.3.:
Generalized Method / 6.4.:
A General Second-Order Equation with Variable Coefficients / 6.4.1.:
A Linear Oscillator with a Slowly Varying Restoring Force / 6.4.3.:
An Example with a Turning Point / 6.4.4.:
The Duffing Equation with Slowly Varying Coefficients / 6.4.5.:
Reentry Dynamics / 6.4.6.:
Advantages and Limitations of the Generalized Method / 6.4.7.:
Asymptotic Solutions of Linear Equations / 7.:
Second-Order Differential Equations / 7.1.:
Expansions Near an Irregular Singularity / 7.1.1.:
An Expansion of the Zeroth-Order Bessel Function for Large Argument / 7.1.2.:
Liouville's Problem / 7.1.3.:
Higher Approximations for Equations Containing a Large Parameter / 7.1.4.:
Homogeneous Problems with Slowly Varying Coefficients / 7.1.5.:
Reentry Missile Dynamics / 7.1.7.:
Inhomogeneous Problems with Slowly Varying Coefficients / 7.1.8.:
Successive Liouville-Green (WKB) Approximations / 7.1.9.:
Systems of First-Order Ordinary Equations / 7.2.:
Expansions Near an Irregular Singular Point / 7.2.1.:
Asymptotic Partitioning of Systems of Equations / 7.2.2.:
Subnormal Solutions / 7.2.3.:
Systems Containing a Parameter / 7.2.4.:
Homogeneous Systems with Slowly Varying Coefficients / 7.2.5.:
The Langer Transformation / 7.3.:
Problems with Two Turning Points / 7.3.3.:
Higher-Order Turning Point Problems / 7.3.4.:
Higher Approximations / 7.3.5.:
An Inhomogeneous Problem with a Simple Turning Point--First Approximation / 7.3.6.:
An Inhomogeneous Problem with a Simple Turning Point--Higher Approximations / 7.3.7.:
An Inhomogeneous Problem with a Second-Order Turning Point / 7.3.8.:
Turning Point Problems about Singularities / 7.3.9.:
Turning Point Problems of Higher Order / 7.3.10.:
Wave Equations / 7.4.:
The Born or Neumann Expansion and The Feynman Diagrams / 7.4.1.:
Renormalization Techniques / 7.4.2.:
Rytov's Method / 7.4.3.:
A Geometrical Optics Approximation / 7.4.4.:
A Uniform Expansion at a Caustic / 7.4.5.:
The Method of Smoothing / 7.4.6.:
References and Author Index
Subject Index
Introduction / 1.:
Parameter Perturbations / 1.1.:
An Algebraic Equation / 1.1.1.:
2.

図書

図書
Huibert Kwakernaak, Raphael Sivan
出版情報: New York : Wiley Interscience, c1972  xxv, 575 p. ; 24 cm
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Notation and Symbols
Elements of Linear System Theory / Chapter 1:
Introduction / 1.1:
State Description of Linear Systems / 1.2:
State Description of Nonlinear and Linear Differential Systems / 1.2.1:
Linearization / 1.2.2:
Examples / 1.2.3:
State Transformations / 1.2.4:
Solution of the State Differential Equation of Linear Systems / 1.3:
The Transition Matrix and the Impulse Response Matrix / 1.3.1:
The Transition Matrix of a Time-Invariant System / 1.3.2:
Diagonalization / 1.3.3:
The Jordan Form / 1.3.4:
Stability / 1.4:
Definitions of Stability / 1.4.1:
Stability of Time-Invariant Linear Systems / 1.4.2:
Stable and Unstable Subspaces for Time-Invariant Linear Systems / 1.4.3:
Investigation of the Stability of Nonlinear Systems through Linearization / 1.4.4:
Transform Analysis of Time-Invariant Systems / 1.5:
Solution of the State Differential Equation through Laplace Transformation / 1.5.1:
Frequency Response / 1.5.2:
Zeroes of Transfer Matrices / 1.5.3:
Interconnections of Linear Systems / 1.5.4:
Root Loci / 1.5.5:
Controllability / 1.6:
Definition of Controllability / 1.6.1:
Controllability of Linear Time-Invariant Systems / 1.6.2:
The Controllable Subspace / 1.6.3:
Stabilizability / 1.6.4:
Controllability of Time-Varying Linear Systems / 1.6.5:
Reconstructibility / 1.7:
Definition of Reconstructibility / 1.7.1:
Reconstructibility of Linear Time-Invariant Systems / 1.7.2:
The Unreconstructible Subspace / 1.7.3:
Detectability / 1.7.4:
Reconstructibility of Time-Varying Linear Systems / 1.7.5:
Duality of Linear Systems / 1.8:
Phase-Variable Canonical Forms / 1.9:
Vector Stochastic Processes / 1.10:
Definitions / 1.10.1:
Power Spectral Density Matrices / 1.10.2:
The Response of Linear Systems to Stochastic Inputs / 1.10.3:
Quadratic Expressions / 1.10.4:
The Response of Linear Differential Systems to White Noise / 1.11:
White Noise / 1.11.1:
Linear Differential Systems Driven by White Noise / 1.11.2:
The Steady-State Variance Matrix for the Time-Invariant Case / 1.11.3:
Modeling of Stochastic Processes / 1.11.4:
Quadratic Integral Expressions / 1.11.5:
Problems / 1.12:
Analysis of Linear Control Systems / Chapter 2:
The Formulation of Control Problems / 2.1:
The Formulation of Tracking and Regulator Problems / 2.2.1:
The Formulation of Terminal Control Problems / 2.2.3:
Closed-Loop Controllers / 2.3:
The Basic Design Objective
The Stability of Control Systems / 2.4:
The Steady-State Analysis of the Tracking Properties / 2.5:
The Steady-State Mean Square Tracking Error and Input / 2.5.1:
The Single-Input Single-Output Case / 2.5.2:
The Multiinput Multioutput Case / 2.5.3:
The Transient Analysis of the Tracking Properties / 2.6:
The Effects of Disturbances in the Single-Input Single-Output Case / 2.7:
The Effects of Observation Noise in the Single-Input Single-Output Case / 2.8:
The Effect of Plant Parameter Uncertainty in the Single-Input Single-Output Case / 2.9:
The Open-Loop Steady-State Equivalent Control Scheme / 2.10:
Conclusions / 2.11:
Optimal Linear State Feedback Control Systems / 2.12:
Stability Improvement of Linear Systems by State Feedback / 3.1:
Linear State Feedback Control / 3.2.1:
Conditions for Pole Assignment and Stabilization / 3.2.2:
The Deterministic Linear Optimal Regulator Problem / 3.3:
Solution of the Regulator Problem / 3.3.1:
Derivation of the Riccati Equation / 3.3.3:
Steady-State Solution of the Deterministic Linear Optimal Regulator Problem / 3.4:
Introduction and Summary of Main Results / 3.4.1:
Steady-State Properties of Optimal Regulators / 3.4.2:
Steady-State Properties of the Time-Invariant Optimal Regulator / 3.4.3:
Solution of the Time-Invariant Regulator Problem by Diagonalization / 3.4.4:
Numerical Solution of the Riccati Equation / 3.5:
Direct Integration / 3.5.1:
The Kalman-Englar Method / 3.5.2:
Solution by Diagonalization / 3.5.3:
Solution by the Newton-Raphson Method / 3.5.4:
Stochastic Linear Optimal Regulator and Tracking Problems / 3.6:
Regulator Problems with DisturbancesThe Stochastic Regulator Problem / 3.6.1:
Stochastic Tracking Problems / 3.6.2:
Solution of the Stochastic Linear Optimal Regulator Problem / 3.6.3:
Regulators and Tracking Systems with Nonzero Set Points and Constant Disturbances / 3.7:
Nonzero Set Points / 3.7.1:
Constant Disturbances / 3.7.2:
Asymptotic Properties of Time-Invariant Optimal Control Laws / 3.8:
Asymptotic Behavior of the Optimal Closed-Loop Poles / 3.8.1:
Asymptotic Properties of the Single-Input Single-Output Nonzero Set Point Regulator / 3.8.2:
The Maximally Achievable Accuracy of Regulators and Tracking Systems / 3.8.3:
Sensitivity of Linear State Feedback Control Systems / 3.9:
Optimal Linear Reconstruction of the State / 3.10:
Observers / 4.1:
Full-Order Observers / 4.2.1:
Conditions for Pole Assignment and Stabilization of Observers / 4.2.2:
Reduced-Order Observers / 4.2.3:
The Optimal Observer / 4.3:
A Stochastic Approach to the Observer Problem / 4.3.1:
The Nonsingular Optimal Observer Problem with Uncorretated State Excitation and Observation Noises / 4.3.2:
The Nonsingular Optimal Observer Problem with Correlated State Excitation and Observation Noises / 4.3.3:
The Time-Invariant Singular Optimal Observer Problem / 4.3.4:
The Colored Noise Observation Problem / 4.3.5:
Innovations / 4.3.6:
The Duality of the Optimal Observer and the Optimal Regulator / 4.4:
Steady-State Properties of the Optimal Observer
The Duality of the Optimal Regulator and the Optimal Observer Problem / 4.4.1:
Asymptotic Properties of Time-Invariant Steady-State Optimal Observers / 4.4.3:
Optimal Linear Output Feedback Control Systems / 4.5:
The Regulation of Linear Systems with Incomplete Measurements / 5.1:
The Structure of Output Feedback Control Systems / 5.2.1:
Conditions for Pole Assignment and Stabilization of Output Feedback Control Systems / 5.2.2:
Optimal Linear Regulators with Incomplete and Noisy Measurements / 5.3:
Problem Formulation and Solution / 5.3.1:
Evaluation of the Performance of Optimal Output Feedback Regulators / 5.3.2:
Proof of the Separation Principle / 5.3.3:
Linear Optimal Tracking Systems with Incomplete and Noisy Measurements / 5.4:
Sensitivity of Time-Invariant Optimal Linear Output Feedback Control Systems / 5.5:
Linear Optimal Output Feedback Controllers of Reduced Dimensions / 5.7:
Controllers of Reduced Dimensions / 5.7.1:
Numerical Determination of Optimal Controllers of Reduced Dimensions / 5.7.3:
Linear Optimal Control Theory for Discrete-Time Systems / 5.8:
Theory of Linear Discrete-Time Systems / 6.1:
State Description of Linear Discrete-Time Systems / 6.2.1:
Interconnections of Discrete-Time and Continuous-Time Systems / 6.2.3:
Solution of State Difference Equations / 6.2.4:
Transform Analysis of Linear Discrete-Time Systems / 6.2.5:
Duality / 6.2.7:
Discrete-Time Vector Stochastic Processes / 6.2.10:
Linear Discrete-Time Systems Driven by White Noise / 6.2.12:
Analysis of Linear Discrete-Time Control Systems / 6.3:
Discrete-Time Linear Control Systems / 6.3.1:
The Steady-State and the Transient Analysis of the Tracking Properties / 6.3.3:
Further Aspects of Linear Discrete-Time Control System Performance / 6.3.4:
Optimal Linear Discrete-Time State Feedback Control Systems / 6.4:
Stability Improvement by State Feedback / 6.4.1:
The Linear Discrete-Time Optimal Regulator Problem / 6.4.3:
Steady-State Solution of the Discrete-Time Regulator Problem / 6.4.4:
The Stochastic Discrete-Time Linear Optimal Regulator / 6.4.5:
Linear Discrete-Time Regulators with Non-zero Set Points and Constant Disturbances / 6.4.6:
Sensitivity / 6.4.7:
Optimal Linear Reconstruction of the State of Linear Discrete-Time Systems / 6.5:
The Formulation of Linear Discrete- / 6.5.1:
Notation and Symbols
Elements of Linear System Theory / Chapter 1:
Introduction / 1.1:
3.

図書

図書
by N.N. Bogoliubov
出版情報: New York : Gordon and Breach, c1967-1970  2 v. ; 24 cm
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4.

図書

図書
edited by Egon Matijević
出版情報: New York, N.Y. : Plenum Press, c1976-  v. ; 24 cm
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Physical Chemistry of Cetyl Alcohol: Occurrence and Function of Liquid Crystals in O/W Creams / Shoji Fukushima ; Michihiro Yamaguchi1.:
Introduction
Cetyl Alcohol
Description of Cetyl Alcohol / 1.1.:
Short History of Cetyl Alcohol / 1.2.:
Definitions in Official Books / 1.3.:
Physical Properties of Cetyl Alcohols / 2.:
Polymorphism of Higher Alcohols / 2.1.:
Crystal Structure of Higher Alcohols / 2.2.:
Melting Point and Transition Point of Higher Alcohols / 2.3.:
Transition Point and Infrared Absorption / 2.4.:
Specific Interaction between 1-Hexadecanol and 1-Octadecanol / 3.:
Composition of Commercially Available Cetyl Alcohol / 3.1.:
Transition Point of 1-Hexadecanol / 3.2.:
Interaction between Higher Alcohols and Water / 4.:
Experimental Facts / 4.1.:
Formation of Hemihydrate / 4.2.:
Structure of Hydrated Alcohols / 4.3.:
Phase Diagram of the 1-Hexadecanol/1-Octadecanol/Water Ternary System / 4.4.:
Studies on Higher Alcohol/Surfactant/Water Systems / 5.:
The 1-Decanol/Sodium Caprylate/Water System / 5.1.:
The 1-Hexadecanol/OTAC/Water System / 5.2.:
Rheology of Ternary Systems Containing 1-Hexadecanol or a Homologous Alcohol / 5.3.:
Influence of the Amount of 1-Hexadecanol / 5.3.1.:
Influence of the Nature of Surfactant and of Higher Alcohol / 5.3.2.:
Influence of Alkyl Chain Length of Surfactant / 5.3.3.:
Conclusion / 5.3.4.:
Nature of Ternary Systems Prepared with Hexaoctadecanols / 6.:
Stability and Rheological Properties of Ternary Systems as a Function of Temperature / 6.1.:
Variations in External Appearance / 6.1.1.:
Variations in Viscosity / 6.1.2.:
Microscopic Observation / 6.1.3.:
X-Ray Diffraction Analysis / 6.1.4.:
Low-Angle X-Ray Diffraction Analysis / 6.1.5.:
Thermal Property / 6.1.6.:
Polymorphism of Hexaoctadecanol (3:2) and Stability of a Ternary Cream / 6.2.:
Liquid Crystalline Phases in Hexaoctadecanol (3:2)/Surfactant/Water Ternary Systems / 7.:
Phase Diagram / 7.1.:
D[subscript 2] Region / 7.2.:
M Region / 7.3.:
The Location and State of the D[subscript 2] Phase and M Particles in a Ternary Cream / 7.4.:
Temperature and the Process Yielding the Liquid Crystalline Phase / 8.:
Temperature of the Formation of the Liquid Crystalline Phase / 8.1.:
Method of Phase Separation Experiments / 8.1.1.:
Results of the Phase Separation Experiment / 8.1.2.:
G Phase and S Phase / 8.2.:
X-Ray Diffraction / 8.2.1.:
Differential Scanning Calorimetry / 8.2.3.:
Temperature at which the LC Phase is Formed / 8.2.4.:
In situ Formation of G and M Phases / 8.3.:
The Function of Liquid Crystalline Phases in O/W Creams / 9.:
Studies on O/W Creams / 9.1.:
The Difference in the Viscosity-Increasing Effects due to the Nature of Higher Alcohols / 9.2.:
The Difference in the Viscosity-Increasing Effect due to the Nature of Surfactants / 9.3.:
The Viscosity Change due to the Ratio of Cetostearyl Alcohol to Surfactant / 9.4.:
The Effect of Mixing 1-Hexadecanol with 1-Octadecanol / 9.5.:
Crystallization of Cetyl Alcohol in Cosmetic Creams / 9.6.:
Internal Structure and Stability of O/W C Creams / 10.:
Internal Structure of O/W Creams / 10.1.:
A Novel Theory for the Stabilization of O/W Creams / 10.2.:
Additional References on Cetyl and Homologous Alcohols / Appendix 1:
Appendix 2
References
Ionization Processes and Proton Binding in Polyprotic Systems: Small Molecules, Proteins, Interfaces, and Polyelectrolytes / Michael Borkovec ; Bo Jonsson ; Ger J. M. Koper
Experimental Techniques
Macroscopic Techniques
Definition and Measurement of pH / 2.1.1.:
Potentiometric Titration Techniques / 2.1.2.:
Other Macroscopic Techniques / 2.1.3.:
Spectroscopic Methods
Nuclear Magnetic Resonance (NMR) Techniques / 2.2.1.:
Optical and Other Spectroscopic Methods / 2.2.2.:
Modeling of Ionizable Systems
General Considerations
Computer Simulation Techniques
Simple Electrolyte Solutions / 3.3.:
Poisson-Boltzmann (PB) and Debye-Huckel (DH) Approximations / 3.3.1.:
An Illustrative Example / 3.3.2.:
Beyond the Poisson-Boltzmann (PB) Approximation / 3.3.3.:
Charged Molecules and Macromolecules in Water / 3.4.:
Debye-Huckel (DH) and Poisson-Boltzmann (PB) Treatment / 3.4.1.:
High-Salt versus Low-Salt Regime / 3.4.2.:
Toward Detailed Molecular Models / 3.4.3.:
Treatment of Ionization Equilibria / 3.5.:
Single Ionizable Site / 3.5.1.:
Localized versus Delocalized Binding / 3.5.2.:
Macroscopic Description / 3.5.3.:
Microscopic Description / 3.5.4.:
Adding Internal Degrees of Freedom / 3.5.5.:
Small Molecules
Monoprotic Acids and Bases
Equilibrium Constants / 4.1.1.:
Titration Behavior / 4.1.2.:
Experimental Data / 4.1.3.:
Diprotic Acids and Bases
Conformational Degrees of Freedom / 4.2.1.:
Equivalent Sites / 4.2.4.:
Oligoprotic Acids and Bases
Microscopic Description for Triprotic Acids and Bases / 4.3.1.:
Linear Molecules / 4.3.3.:
Noninteracting Sites
Microscopic versus Macroscopic Picture / 4.4.1.:
Affinity Distributions / 4.4.2.:
Interpretation and Prediction of Ionization Constants / 4.5.:
Empirical Methods / 4.5.1.:
Methods Based on First Principles / 4.5.2.:
Proteins
The Null Model
The Smeared-Out Charge Model
The Tanford-Kirkwood Model
Solution Techniques of the Ionization Problem
Shifts in Ionization Constants
Recent Developments in Dielectric Continuum Models / 5.4.:
General Methodology / 5.4.1.:
Case Studies / 5.4.2.:
Side Chain Flexibility / 5.4.3.:
Beyond Dielectric Continuum Models / 5.5.:
Protein Folding / 5.6.:
Polyelectrolytes
Mean-Field Models
Nearest-Neighbor Chain Interaction Models
Discrete Charge Model / 6.3.:
Mean-Field and Smearing-Out Approximations / 6.3.1.:
Chain Flexibility / 6.3.2.:
Polyamines / 6.4.:
Linear Polyamines / 6.4.1.:
Branched Polyamines / 6.4.2.:
Polycarboxylates / 6.5.:
Weakly Charged Linear Polycarboxylates / 6.5.1.:
Highly Charged Linear Polycarboxylates / 6.5.2.:
Humic Acids / 6.6.:
Ionizable Interfaces
Diffuse Layer Model and Its Generalization
Nernstian Surface / 7.1.1.:
Basic Stern Model / 7.1.2.:
Specific Counterion Binding / 7.1.3.:
Smearing-Out Approximation / 7.2.1.:
1-pK versus 2-pK Models / 7.2.2.:
pK Shifts / 7.2.3.:
Latex Particles
Ionizable Monolayers
Metal Oxide and Metal Hydroxide Particles / 7.5.:
Experimental Aspects / 7.5.1.:
Data Interpretation / 7.5.2.:
Goethite / 7.5.3.:
Hematite / 7.5.4.:
Rutile and Anatase / 7.5.5.:
Gibbsite / 7.5.6.:
Silica / 7.5.7.:
Discussion
Electrostatics of Point Charges / Appendix A.:
Planar Interface / A.1.:
Sphere / A.2.:
Cylinder / A.3.:
Further Tools in the Ising Model Analysis / Appendix B.:
Cluster Expansion / B.1.:
Other Choices of State Variables / B.2.:
Mean-Field Cluster Expansions / B.3.:
Mean-Field Treatment of Nonequivalent Sites / B.4.:
Square Lattice with Nearest-Neighbor Interactions / B.5.:
Affinity Distribution Approach / Appendix C.:
Derivation from Simple Models / C.1.:
Experimental Data Inversion / C.2.:
Combined Application of Radiochemical and Electrochemical Methods for the Investigation of Solid/Liquid Interfaces / Kalman Varga ; Gabor Hirschberg ; Pal Baradlai ; Melinda Nagy
On the Significance of Radiotracer Methods in Sorption Studies
General Problems of Radioactive Contamination Studies
An Overview of Radiotracer Methods
Methods Used for the Investigation of Interfacial Phenomena
Experimental Techniques: A Historical Survey
Recent Progress
Methods Used for the Investigation of Radioactive Contamination-Decontamination of Constructional Materials
Selected Results
Adsorption of Anions and Cations on Polycrystalline Gold
Comparative Study of Specific Adsorption of Cl[superscript -], HSO[superscript - subscript 4]/SO[superscript 2- subscript 4] and HSO[superscript - subscript 3]/SO[superscript 2- subscript 3] Ions / 3.1.1.:
Electrosorption of Ag and Co Species / 3.1.2.:
Accumulation of [superscript 110m]Ag on an Austenitic Stainless Steel
Sorption Behavior of Duplex Stainless Steels in HCl and H[subscript 2]SO[subscript 4] Solutions
Time and Concentration Dependence of Cl[superscript -] and HSO[superscript - subscript 4]/SO[superscript 2- subscript 4] Accumulations
Potential Dependence of Cl[superscript -] and HSO[superscript - subscript 4]/SO[superscript 2- subscript 4] Accumulations
Conclusions
Author Index
Subject Index
Magnetic Particles: Preparation, Properties and Applications / M. Ozaki1:
Maghemite (gamma-Fe2O3): A Versatile Magnetic Colloidal Material / C.J. Serna ; M.P. Morales2:
Dynamics of Adsorption and Oxidation of Organic Molecules on Illuminated Titanium Dioxide Particles Immersed in Water / M.A. Blesa ; R.J. Candal ; S.A. Bilmes3:
Colloidal Aggregation in Two-Dimensions / A. Moncho-Jorda ; F. Martinez-L=pez ; M.A. Cabrerizo-V8lchez ; R. Hidalgo Alvarez ; M. Quesada-PMFrez4:
Kinetics of Particle and Protein Adsorption / Z. Adamczyk5:
Physical Chemistry of Cetyl Alcohol: Occurrence and Function of Liquid Crystals in O/W Creams / Shoji Fukushima ; Michihiro Yamaguchi1.:
Introduction
Cetyl Alcohol
5.

図書

図書
edited by I. M. Ward
出版情報: London ; New York : Elsevier Applied Science, 1982-87  2 v. ; 23 cm
シリーズ名: Developments series
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6.

図書

図書
Michael Tinkham
出版情報: New York : McGraw-Hill, c1964  xii, 340 p ; 24 cm
シリーズ名: International series in pure and applied physics
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目次情報: 続きを見る
Preface
Introduction / 1:
The Nature of the Problem / 1-1:
The Role of Symmetry / 1-2:
Abstract Group Theory / 2:
Definitions and Nomenclature / 2-1:
Illustrative Examples / 2-2:
Rearrangement Theorem / 2-3:
Cyclic Groups / 2-4:
Subgroups and Cosets / 2-5:
Example Groups of Finite Order / 2-6:
Conjugate Elements and Class Structure / 2-7:
Normal Divisors and Factor Groups / 2-8:
Class Multiplication / 2-9:
Exercises
References
Theory of Group Representations / 3:
Definitions / 3-1:
Proof of the Orthogonality Theorem / 3-2:
The Character of a Representation / 3-3:
Construction of Character Tables / 3-4:
Decomposition of Reducible Representations / 3-5:
Application of Representation Theory in Quantum Mechanics / 3-6:
Illustrative Representations of Abelian Groups / 3-7:
Basis Functions for Irreducible Representations / 3-8:
Direct-product Groups / 3-9:
Direct-product Representations within a Group / 3-10:
Physical Applications of Group Theory / 4:
Crystal-symmetry Operators / 4-1:
The Crystallographic Point Groups / 4-2:
Irreducible Representations of the Point Groups / 4-3:
Elementary Representations of the Three-dimensional Rotation Group / 4-4:
Crystal-field Splitting of Atomic Energy Levels / 4-5:
Intermediate Crystal-field-splitting Case / 4-6:
Weak-crystal-field Case and Crystal Double Groups / 4-7:
Introduction of Spin Effects in the Medium-field Case / 4-8:
Group-theoretical Matrix-element Theorems / 4-9:
Selection Rules and Parity / 4-10:
Directed Valence / 4-11:
Application of Group Theory to Directed Valence / 4-12:
Full Rotation Group and Angular Momentum / 5:
Rotational Transformation Properties and Angular Momentum / 5-1:
Continuous Groups / 5-2:
Representation of Rotations through Eulerian Angles / 5-3:
Homomorphism with the Unitary Group / 5-4:
Representations of the Unitary Group / 5-5:
Representation of the Rotation Group by Representations of the Unitary Group / 5-6:
Application of the Rotation-representation Matrices / 5-7:
Vector Model for Addition of Angular Momenta / 5-8:
The Wigner or Clebsch-Gordan Coefficients / 5-9:
Notation, Tabulations, and Symmetry Properties of the Wigner Coefficients / 5-10:
Tensor Operators / 5-11:
The Wigner-Eckart Theorem / 5-12:
The Racah Coefficients / 5-13:
Application of Racah Coefficients / 5-14:
The Rotation-Inversion Group / 5-15:
Time-reversal Symmetry / 5-16:
More General Invariances / 5-17:
Quantum Mechanics of Atoms / 6:
Review of Elementary Atomic Structure and Nomenclature / 6-1:
The Hamiltonian / 6-2:
Approximate Eigenfunctions / 6-3:
Calculation of Matrix Elements between Determinantal Wavefunctions / 6-4:
Hartree-Fock Method / 6-5:
Calculation of L-S-term Energies / 6-6:
Evaluation of Matrix Elements of the Energy / 6-7:
Eigenfunctions and Angular-momentum Operations / 6-8:
Calculation of Fine Structure / 6-9:
Zeeman Effect / 6-10:
Magnetic Hyperfine Structure / 6-11:
Electric Hyperfine Structure / 6-12:
Molecular Quantum Mechanics / 7:
Born-Oppenheimer Approximation / 7-1:
Simple Electronic Eigenfunctions / 7-2:
Irreducible Representations for Linear Molecules / 7-3:
The Hydrogen Molecule / 7-4:
Molecular Orbitals / 7-5:
Heitler-London Method / 7-6:
Orthogonal Atomic Orbitals / 7-7:
Group Theory and Molecular Orbitals / 7-8:
Selection Rules for Electronic Transitions / 7-9:
Vibration of Diatomic Molecules / 7-10:
Normal Modes in Polyatomic Molecules / 7-11:
Group Theory and Normal Modes / 7-12:
Selection Rules for Vibrational Transitions / 7-13:
Molecular Rotation / 7-14:
Effect of Nuclear Statistics on Molecular Rotation / 7-15:
Asymmetric Rotor / 7-16:
Vibration-Rotation Interaction / 7-17:
Rotation-Electronic Coupling / 7-18:
Solid-state Theory / 8:
Symmetry Properties in Solids / 8-1:
The Reciprocal Lattice and Brillouin Zones / 8-2:
Form of Energy-band Wavefunctions / 8-3:
Crystal Symmetry and the Group of the k Vector / 8-4:
Pictorial Consideration of Eigenfunctions / 8-5:
Formal Consideration of Degeneracy and Compatibility / 8-6:
Group Theory and the Plane-wave Approximation / 8-7:
Connection between Tight- and Loose-binding Approximations / 8-8:
Spin-orbit Coupling in Band Theory / 8-9:
Time Reversal in Band Theory / 8-10:
Magnetic Crystal Groups / 8-11:
Symmetries of Magnetic Structures / 8-12:
The Landau Theory of Second-order Phase Transitions / 8-13:
Irreducible Representations of Magnetic Groups / 8-14:
Appendix
Review of Vectors, Vector Spaces, and Matrices / A:
Character Tables for Point-symmetry Groups / B:
Tables of c[superscript k] and a[superscript k] Coefficients for s, p, and d Electrons / C:
Index
Preface
Introduction / 1:
The Nature of the Problem / 1-1:
7.

図書

図書
edited by Yu. E. Nesterikhin, George W. Stroke and Winston E. Kock
出版情報: New York : Plenum Press, c1976-1978  2 v. ; 26 cm
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8.

図書

図書
Peter Bloomfield
出版情報: New York : Wiley, c1976  xiii, 258 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Applied probability and statistics
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目次情報: 続きを見る
Introduction / 1:
Fourier Analysis / 1.1:
Historical Development of Fourier Methods / 1.2:
Why Use Trigonometric Functions? / 1.3:
Fitting Sinusoids / 2:
Curve-Fitting Approach / 2.1:
Least Squares Fitting of Sinusoids / 2.2:
Multiple Periodicities / 2.3:
Orthogonality of Sinusoids / 2.4:
Effect of Discrete Time: Aliasing / 2.5:
Some Statistical Results / 2.6:
Appendix
The Search for Periodicity / 3:
Fitting the Frequency / 3.1:
Fitting Multiple Frequencies / 3.2:
Some More Statistical Results / 3.3:
Harmonic Analysis / 4:
Fourier Frequencies / 4.1:
Discrete Fourier Transform / 4.2:
Decomposing the Sum of Squares / 4.3:
Special Functions / 4.4:
Smooth Functions / 4.5:
The Fast Fourier Transform / 5:
Computational Cost of Fourier Transforms / 5.1:
Two-Factor Case / 5.2:
Application to Harmonic Analysis of Data / 5.3:
Examples of Harmonic Analysis / 6:
Variable Star Data / 6.1:
Leakage Reduction by Data Windows / 6.2:
Tapering the Variable Star Data / 6.3:
Wolf's Sunspot Numbers / 6.4:
Nonsinusoidal Oscillations / 6.5:
Amplitude and Phase Fluctuations / 6.6:
Transformations / 6.7:
Periodogram of a Noise Series / 6.8:
Fisher's Test for Periodicity / 6.9:
Complex Demodulation / 7:
Smoothing: Linear Filtering / 7.1:
Designing a Filter / 7.3:
Least Squares Filter Design / 7.4:
Demodulating the Sunspot Series / 7.5:
Complex Time Series / 7.6:
Sunspots: The Complex Series / 7.7:
The Spectrum / 8:
Periodogram Analysis of Wheat Prices / 8.1:
Analysis of Segments of a Series / 8.2:
Smoothing the Periodogram / 8.3:
Autocovariances and Spectrum Estimates / 8.4:
Alternative Representations / 8.5:
Choice of a Spectral Window / 8.6:
Examples of Smoothing the Periodogram / 8.7:
Reroughing the Spectrum / 8.8:
Some Stationary Time Series Theory / 9:
Stationary Time Series / 9.1:
Continuous Spectra / 9.2:
Time Averaging and Ensemble Averaging / 9.3:
Periodogram and Continuous Spectra / 9.4:
Approximate Mean and Variance / 9.5:
Properties of Spectral Windows / 9.6:
Aliasing and the Spectrum / 9.7:
Analysis of Multiple Series / 10:
Cross Periodogram / 10.1:
Estimating the Cross Spectrum / 10.2:
Theoretical Cross Spectrum / 10.3:
Distribution of the Cross Periodogram / 10.4:
Distribution of Estimated Cross Spectra / 10.5:
Alignment / 10.6:
Further Topics / 11:
Time Domain Analysis / 11.1:
Spatial Series / 11.2:
Multiple Series / 11.3:
Higher Order Spectra / 11.4:
Nonquadratic Spectrum Estimates / 11.5:
Incomplete and Irregular Data / 11.6:
References
Author Index
Subject Index
Introduction / 1:
Fourier Analysis / 1.1:
Historical Development of Fourier Methods / 1.2:
9.

図書

図書
M. Iosifescu, P. Tăutu
出版情報: Bucureşti : Editura Academiei, 1973  2 v. ; 24 cm
シリーズ名: Biomathematics ; v.3-4
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10.

図書

図書
Tim Clark
出版情報: New York : Wiley, c1985  x, 332 p. ; 24 cm
シリーズ名: A Wiley-Interscience publication
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目次情報: 続きを見る
Chemical Calculations / Chapter 1:
Introduction / 1.1:
The Program / 1.2:
Molecular Mechanics / Chapter 2:
Applications and Parametrization / 2.1:
The MMP2 Program: Input and Output Examples / 2.3:
References
Molecular Orbital Theory / Chapter 3:
How the Programs Work / 3.1:
Geometries: The Z-Matrix / 3.3:
Geometry Optimization / 3.4:
Potential Surfaces / 3.5:
Qualitative Molecular Orbital Theory / 3.6:
Literature / 3.7:
Semiempirical Methods / Chapter 4:
Semiempirical Molecular Orbital Theory / 4.1:
MINDO/3 / 4.2:
MNDO / 4.3:
MOPAC Input and Output / 4.4:
MINDO/3 and MNDO Subject / 4.5:
Index
Ab Initio Methods / Chapter 5:
Ab Initio Molecular Orbital Theory / 5.1:
The GAUSSIAN Programs / 5.2:
GAUSSIAN82 Input and Output Examples / 5.3:
Electron Correlation / 5.4:
Appendixes
MOPAC Z-Matrices for Chapter 3 / A:
Other Useful Programs / B:
Bond Length Tables / C:
Chemical Calculations / Chapter 1:
Introduction / 1.1:
The Program / 1.2:
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