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1.

図書

図書
G. W. H. Cheeseman, R. F. Cookson
出版情報: New York : Wiley, c1979  xii, 835 p. ; 24 cm
シリーズ名: The chemistry of heterocyclic compounds : a series of monographs ; vol. 35
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General Introduction to Quinoxaline Chemistry
Quinoxaline--The Parent Heterocycle
Quinoxalines Unsubstituted in the Heteroring
Quinoxaline Mono- and Di-N-oxides
Quinoxaline-2-ones and Quinoxaline-2,3-diones
Quinoxaline-2-thiones and Quinoxaline-2,3-dithiones
Quinoxaline-2-carboxaldehydes and Quinoxaline-2,3 dicarboxaldehydes
Quinoxaline 2-Ketones and 2,3-Diketones
Quinoxaline-2-carboxylic Acids and Quinoxaline-2,3 dicarboxylic Acids
2-Halogenoquinoxalines and 2,3-Dihalogenoquinoxalines
2-Aminoquinoxalines and 2,3-Diaminoquinoxalines
2-Hydrazinoquinoxalines
2-Alkoxy-, 2-Aryloxy-, 2,3-Dialkoxy-,2-Alkoxy-, 3-aryloxy-, and 2,3-Diaryloxquinoxalines
2-Alkyl- and 2,3-Dialkylquinoxalines
2-Aryl(heteroaryl)- and 2,3-Diaryl(diheteroaryl)quinoxalines
2-Polyhydroxyalkylquinoxalines
Quinoxaline Quaternary Salts
Reduced Quinoxalines
Salts
Pyrrolo [1,2-a] pyrazines
Pyrrolo[b]pyrazines
Imidazopyrazines
Pyrazolopyrazines
Triazolo- and Tetrazolopyrazines
Furo-, Oxazolo-, Isoxazolo-, and Oxadiazolopyrazines
Thieno-, Thiazolo-, Isothiazolo-, and Thiadiazolopyrazines
Miscellaneous 5,6-Systems
Pyrido[1,2-a] pyrazines
Pyrido[2,3-b]pyrazines
Pyrido[3,4-b]pyrazines
Pyrazinopyrimidines
Pyrazinopyrazines
Pyrazinotriazines and Pyrazinotetrazines
Pyrazinooxazines
Pyrazinothiazines
Pyrroloquinoxalines
Imidazoquinoxalines
Pyrazoloquinoxaline
Benzo[f]quinoxalines
Benzo[g]quinoxalines
Pyridoquinoxalines
Author Index?
Subject Index
General Introduction to Quinoxaline Chemistry
Quinoxaline--The Parent Heterocycle
Quinoxalines Unsubstituted in the Heteroring
2.

図書

図書
Walter Koechner
出版情報: New York : Springer-Verlag, 1976  xi, 620 p. ; 24 cm
シリーズ名: Springer series in optical sciences ; v. 1
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Preface
Introduction
Energy Transfer Between Radiation and Atomic Transitions / 1:
Optical Amplification / 1.1:
Interaction of Radiation with Matter / 1.2:
Blackbody Radiation / 1.2.1:
Boltzmann's Statistics / 1.2.2:
Einstein's Coefficients / 1.2.3:
Phase Coherence of Stimulated Emission / 1.2.4:
Absorption and Optical Gain / 1.3:
Atomic Lineshapes / 1.3.1:
Absorption by Stimulated Transitions / 1.3.2:
Population Inversion / 1.3.3:
Creation of a Population Inversion / 1.4:
The Three-Level System / 1.4.1:
The Four-Level System / 1.4.2:
The Metastable Level / 1.4.3:
Laser Rate Equations / 1.5:
Comparison of Three- and Four-Level Lasers / 1.5.1:
Properties of Solid-State Laser Materials / 2:
Overview / 2.1:
Host Materials / 2.1.1:
Active Ions / 2.1.2:
Ruby / 2.2:
Nd:Lasers / 2.3:
Nd:YAG / 2.3.1:
Nd:Glass / 2.3.2:
Nd:Cr:GSGG / 2.3.3:
Nd:YLF / 2.3.4:
Nd:YVO[subscript 4] / 2.3.5:
Er:Lasers / 2.4:
Er:YAG / 2.4.1:
Er:Glass / 2.4.2:
Tunable Lasers / 2.5:
Alexandrite Laser / 2.5.1:
Ti:Sapphire / 2.5.2:
Cr:LiSAF / 2.5.3:
Tm:YAG / 2.5.4:
Yb:YAG / 2.6:
Laser Oscillator / 3:
Operation at Threshold / 3.1:
Gain Saturation / 3.2:
Circulating Power / 3.3:
Oscillator Performance Model / 3.4:
Conversion of Input to Output Energy / 3.4.1:
Laser Output / 3.4.2:
Relaxation Oscillations / 3.5:
Theory / 3.5.1:
Spike Suppression / 3.5.2:
Gain Switching / 3.5.3:
Examples of Laser Oscillators / 3.6:
Lamp-Pumped cw Nd:YAG Laser / 3.6.1:
Diode Side-Pumped Nd:YAG Laser / 3.6.2:
End-Pumped Systems / 3.6.3:
Ring Laser / 3.7:
Laser Amplifier / 4:
Single- and Multiple-Pass Pulse Amplifiers / 4.1:
Pulse Amplification / 4.1.1:
Nd:YAG Amplifiers / 4.1.2:
Nd:Glass Amplifiers / 4.1.3:
Multipass Amplifier Configurations / 4.1.4:
Regenerative Amplifiers / 4.2:
cw Amplifiers / 4.3:
Signal Distortions / 4.4:
Spatial Distortions / 4.4.1:
Temporal Distortions / 4.4.2:
Depopulation Losses / 4.5:
Amplified Spontaneous Emission / 4.5.1:
Prelasing and Parasitic Modes / 4.5.2:
Reduction of Depopulation Losses / 4.5.3:
Self-Focusing / 4.6:
Whole-Beam Self-Focusing / 4.6.1:
Examples of Self-focusing in Nd:YAG Lasers / 4.6.2:
Small-Scale Self-Focusing / 4.6.3:
Suppression of Self-Focusing / 4.6.4:
Optical Resonator / 5:
Transverse Modes / 5.1:
Intensity Distribution / 5.1.1:
Characteristics of a Gaussian Beam / 5.1.2:
Resonator Configurations / 5.1.3:
Stability of Laser Resonators / 5.1.4:
Diffraction Losses / 5.1.5:
Higher-Order Modes / 5.1.6:
Mode Selection / 5.1.7:
Active Resonator / 5.1.8:
Examples of Resonator Designs / 5.1.9:
Resonator Modeling and Software Packages / 5.1.10:
Longitudinal Modes / 5.2:
The Fabry-Perot Interferometer / 5.2.1:
Laser Resonator with Gain Medium / 5.2.2:
Longitudinal Mode Control / 5.2.3:
Injection Seeding / 5.2.4:
Intensity and Frequency Control / 5.3:
Amplitude Fluctuations / 5.3.1:
Frequency Tuning / 5.3.2:
Frequency Locking / 5.3.3:
Hardware Design / 5.4:
Unstable Resonators / 5.5:
Confocal Positive-Branch Unstable Resonator / 5.5.1:
Negative-Branch Unstable Resonator / 5.5.2:
Variable Reflectivity Output Couplers / 5.5.3:
Gain, Mode Size, and Alignment Sensitivity / 5.5.4:
Wavelength Selection / 5.6:
Optical Pump Systems / 6:
Pump Sources / 6.1:
Flashlamps / 6.1.1:
Continuous Arc Lamps / 6.1.2:
Laser Diodes / 6.1.3:
Pump Radiation Transfer Methods / 6.2:
Side-Pumping with Lamps / 6.2.1:
Side-Pumping with Diodes / 6.2.2:
End-Pumped Lasers / 6.2.3:
Face-Pumped Disks / 6.2.4:
Thermo-Optic Effects / 7:
Cylindrical Geometry / 7.1:
Temperature Distribution / 7.1.1:
Thermal Stresses / 7.1.2:
Photoelastic Effects / 7.1.3:
Thermal Lensing / 7.1.4:
Stress Birefringence / 7.1.5:
Compensation of Optical Distortions / 7.1.6:
Slab and Disk Geometries / 7.2:
Rectangular-Slab Laser / 7.2.1:
Slab Laser with Zigzag Optical Path / 7.2.2:
Disk Amplifiers and Lasers / 7.2.3:
End-Pumped Configurations / 7.3:
Thermal Gradients and Stress / 7.3.1:
Thermal Fracture Limit / 7.3.2:
Thermal Management / 7.4:
Liquid Cooling / 7.4.1:
Conduction Cooling / 7.4.2:
Air/Gas Cooling / 7.4.3:
Q-Switching / 8:
Q-Switch Theory / 8.1:
Fast Q-Switch / 8.1.1:
Slow Q-Switching / 8.1.2:
Continuously Pumped, Repetitively Q-Switched Systems / 8.1.3:
Mechanical Q-Switches / 8.2:
Electro-Optical Q-Switches / 8.3:
KDP and KD*P Pockels Cells / 8.3.1:
LiNbO[subscript 3] Pockels Cells / 8.3.2:
Prelasing and Postlasing / 8.3.3:
Depolarization Losses / 8.3.4:
Drivers for Electro-Optic Q-Switches / 8.3.5:
Acousto-Optic Q-Switches / 8.4:
Bragg Reflection / 8.4.1:
Device Characteristics / 8.4.2:
Passive Q-Switches / 8.5:
Cavity Dumping / 8.6:
Mode Locking / 9:
Pulse Formation / 9.1:
Passive Mode Locking / 9.2:
Liquid Dye Saturable Absorber / 9.2.1:
Coupled-Cavity Mode Locking / 9.2.2:
Kerr Lens Mode Locking / 9.2.3:
Semiconductor Saturable Absorber Mirror (SESAM) / 9.2.4:
Active Mode Locking / 9.3:
cw Mode Locking / 9.3.1:
Transient Active Mode Locking / 9.3.2:
Picosecond Lasers / 9.4:
AM Mode Locking / 9.4.1:
FM Mode Locking / 9.4.2:
Femtosecond Lasers / 9.5:
Laser Materials / 9.5.1:
Dispersion Compensation / 9.5.2:
Examples of Kerr Lens or SESAM Mode-Locked Femtosecond Lasers / 9.5.3:
Chirped Pulse Amplifiers / 9.5.4:
Nonlinear Devices / 10:
Nonlinear Optical Effects / 10.1:
Second-Order Nonlinearities / 10.1.1:
Third-Order Nonlinearities / 10.1.2:
Harmonic Generation / 10.2:
Basic Theory of Second Harmonic Generation / 10.2.1:
Phase Matching / 10.2.2:
Properties of Nonlinear Crystals / 10.2.3:
Intracavity Frequency Doubling / 10.2.4:
Third Harmonic Generation / 10.2.5:
Examples of Harmonic Generation / 10.2.6:
Optical Parametric Oscillators / 10.3:
Performance Modeling / 10.3.1:
Crystals / 10.3.2:
Quasi Phase Matching / 10.3.3:
Design and Performance / 10.3.4:
Raman Laser / 10.4:
Device Implementation / 10.4.1:
Optical Phase Conjugation / 10.5:
Basic Considerations / 10.5.1:
Material Properties / 10.5.2:
Focusing Geometry / 10.5.3:
Pump-Beam Properties / 10.5.4:
System Design / 10.5.5:
Damage of Optical Elements / 11:
Surface Damage / 11.1:
Inclusion Damage / 11.2:
Damage Threshold of Optical Materials / 11.3:
Scaling Laws / 11.3.1:
Laser Host Materials / 11.3.2:
Optical Glass / 11.3.3:
Nonlinear Crystals / 11.3.4:
Dielectric Thin Films / 11.3.5:
System Design Considerations / 11.4:
Choice of Materials / 11.4.1:
Design of System / 11.4.2:
System Operation / 11.4.3:
Laser Safety / Appendix A:
Conversion Factors and Constants / Appendix B:
Definition of Symbols / Appendix C:
References
Subject Index
Preface
Introduction
Energy Transfer Between Radiation and Atomic Transitions / 1:
3.

図書

図書
Harold P. Klug, Leroy E. Alexander
出版情報: New York : Wiley, c1974  xxv, 966 p. ; 24 cm
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Elementary Crystallography / 1:
The Crystalline State / 1-1:
Crystalline and Amorphous Solids / 1-1.1:
Definition of a Crystal / 1-1.2:
Characteristics of the Crystalline and Vitreous States / 1-1.3:
Crystal Geometry / 1-2:
External Form and Habit of Crystals / 1-2.1:
Constancy of Interfacial Angles / 1-2.2:
Symmetry Elements of Crystals / 1-2.3:
Pseudosymmetry, 13 / 1-2.4:
Crystallographic Axes / 1-2.5:
Axial Ratios / 1-2.6:
The Six Crystal Symmetry Systems / 1-2.7:
Miller Indices / 1-2.8:
The Law of Rational Indices / 1-2.9:
Crystal Forms / 1-2.10:
Composite Crystals and Twinning / 1-2.11:
Equation for the Plane (hkl) / 1-2.12:
Zones and Zone Relationships / 1-2.13:
Space Lattices / 1-3:
Historical Introduction / 1-3.1:
Definition / 1-3.2:
The Unit Ceil / 1-3.3:
The 14 Bravais Lattices / 1-3.4:
Some Crystallographic Implications of Space Lattices / 1-3.5:
Distance between Neighboring Lattice Planes in the Series (hkl) / 1-3.6:
The Reciprocal Lattice / 1-3.7:
Point Groups and Space Groups / 1-4:
The Point Group or Crystal Symmetry Class / 1-4.1:
The Space Group / 1-4.2:
General References
Specific References
The Production and Properties of X-rays / 2:
X-Ray Safety and Protection / 2-1:
The Production of X-Rays / 2-2:
The Origin of X-Rays / 2-2.1:
X-Ray Tubes / 2-2.2:
Gas tubes / A:
Hot-cathode tubes / B:
Modern diffraction tube design / C:
Cold-cathode diffraction tubes / D:
High-intensity diffraction tubes / E:
Microfocus diffraction tubes / F:
Power Equipment for the Production of X-rays / 2-2.3:
Commercial X-ray Generators for Diffraction / 2-2.4:
Isotopic X-ray Sources / 2-2.5:
Properties of X-Rays and their Measurement / 2-3:
The X-ray Spectrum of an Element / 2-3.1:
The continuous x-ray spectrum
The characteristic x-ray spectrum
The Precise Determination of X-ray Wavelengths / 2-3.2:
Absorption of X-rays / 2-3.3:
Secondary Fluorescent and Scattered X-rays / 2-3.4:
Refraction of X-rays / 2-3.5:
Monochromatization of X-radiation / 2-3.6:
Single filter technique
Balanced-filter technique
Crystal monochromator techniques
Graphite monochromators
The Photographic Effects of X-rays / 2-3.7:
Fundamental Principles of X-ray Diffraction / 3:
Kinematical and Dynamical Diffraction Theory / 3-1:
The Geometry of Diffraction / 3-2:
Scattering of X-rays by Electrons and Atoms / 3-2.1:
Scattering by a Regularly Spaced Row of Atoms / 3-2.2:
Conditions for Diffraction by a Linear Lattice of Atoms / 3-2.3:
Diffraction by a Simple Cubic Lattice / 3-2.4:
Proof that the "Diffracting Plane" is a Lattice Plane / 3-2.5:
The Bragg Equation / 3-2.6:
Derivation of the Bragg Equation from the "Reflection" Analogy / 3-2.7:
The Geometrical Picture of Diffraction in Reciprocal Space / 3-2.8:
The Intensity of Diffraction / 3-3:
Perfect and Imperfect Crystals / 3-3.1:
Primary and Secondary Extinction / 3-3.2:
Relative and Absolute Intensities / 3-3.3:
Factors Affecting the Diffraction Intensities / 3-3.4:
The polarization factor
The Lorentz and "velocity" factors
The temperature factor
The atomic scattering factor
The structure factor
The multiplicity factor
The absorption factor / G:
Expressions for the Relative Intensity of Diffraction by the Various Techniques / 3-3.5:
Lattice-Centering and Space-Group Extinctions / 3-3.6:
Photographic Powder Techniques / 4:
The Debye-Scherrer Method / 4-1:
Introduction / 4-1.1:
Camera Design / 4-1.2:
General geometry
Details of camera construction
Camera support and alignment
Preparation of the Powder / 4-1.3:
Mounting the Powder / 4-1.4:
Making the Exposure / 4-1.5:
Processing the Film / 4-1.6:
Parafocusing Methods / 4-2:
Monochromatic-Pinhole Techniques / 4-3:
Forward-Reflection Method / 4-3.1:
Back-Reflection Method / 4-3.2:
Microcameras and Microbeam Techniques / 4-4:
High-Temperature Techniques / 4-5:
Low-Temperature Techniques / 4-6:
High-Pressure Techniques / 4-7:
Diffractometric Powder Technique
Geometry of the Powder Diffractometer / 5-1:
General Features / 5-1.1:
Details of the Optical Arrangement / 5-1.2:
The Seemann-Bohlin Diffractometer / 5-1.3:
Alignment and Angular Calibration of the Diffractometer / 5-1.4:
Operations appropriately performed in advance by the manufacturer
Further internal alignment of the goniometer
Alignment of the goniometer with respect to the x-ray tube
Calibration of the O? 2Theta; position
Calibration of angular registration between 0 and 180? 2Theta;
Profiles and positions of diffraction maxima / 5-2:
Convolution Synthesis of Line Profiles / 5-2.1:
X-ray source, g I
Flat specimen surface, g II
Axial divergence, g III
Specimen transparency, g IV
Receiving slit, g v
Comparison of calculated and experimental line profiles
Displacement and Breadth of Diffraction Maxima / 5-2.2:
Line position
Line breadth
The practical determination of the centroid and variance
Accurate Determination of Interplanar (d) Spacings / 5-2.3:
"Routine" Determination of Interplanar (d) Spacings / 5-2.4:
Electrical Characteristics of the Diffractometer / 5-3:
General Arrangement of Components / 5-3.1:
Radiation Detectors (Quantum Counters) / 5-3.2:
Gas-ionization counters
Geiger-Muller counters
Proportional counters
Scintillation counters
Solid-state (energy-dispersive) detectors
Nonlinearity of Detector Response / 5-3.3:
Monochromatizing Techniques / 5-3.4:
Pulse-height discrimination and analysis
Ross balanced filters
Crystal monochromators
Choice of Experimental Conditions and Procedures / 5-4:
Statistical Accuracy of Counter Measurements / 5-4.1:
The Specimen / 5-4.2:
Preparation of powders
Rotation of the specimen
Preferred orientation and the specimen mount
High-temperature techniques
Low-temperature techniques
Other special specimen techniques
Transmission Techniques / 5-4.3:
Continuous-Scan Techniques / 5-4.4:
Step-Scan Techniques and Automation / 5-4.5:
The Interpretation of Powder Diffraction Data / 6:
The Viewing and Precision Measurement of Powder Photographs / 6-1:
Determination of Interplanar (d) Spacings / 6-2:
Debye-Scherrer Patterns / 6-2.1:
Monochromatic-Pinhole (Flat-Film) Patterns / 6-2.2:
Indexing Cubic Powder Patterns / 6-3:
Reciprocal-Lattice Picture of Diffraction by a Cubic Powder / 6-3.1:
Indexing a Cubic Pattern by sin 2 Theta Ratios / 6-3.2:
Determination of the Unit-Cell Dimension a / 6-3.3:
Indexing a Cubic Pattern When a Is Known / 6-3.4:
Determination of Lattice Type / 6-4:
Indexing Noncubic Powder Patterns / 6-5:
Indexing Noncubic Patterns When the Unit-Cell Dimensions are Known / 6-5.1:
Graphical Methods of Indexing / 6-5.2:
Analytical Methods of Indexing: Tetragonal, Hexagonal, and Orthorhombic Patterns / 6-5.3:
Analytical Methods of Indexing: Monoclinic and Triclinic Patterns / 6-5.4:
Automated Computing Procedures for Indexing Powder Patterns / 6-6:
Programs for Patterns of Orthorhombic and Higher Symmetry / 6-6.1:
Programs for Patterns of Low Symmetry / 6-6.2:
The Measurement of Intensities from Photographic Blackening / 6-7:
Preparation of a Graded Intensity Scale / 6-7.1:
Visual Estimation of Intensities / 6-7.3:
Photometer Techniques / 6-7.4:
The Measurement of Intensities with the X-Ray Diffractometer / 6-8:
Putting Intensities on an Absolute Scale / 6-9:
Special Scattering and Diffraction Effects / 6-10:
Background Effects / 6-10.1:
Background due to lattice imperfections
Background due to general radiation
Absorption discontinuities
Air scatter
Secondary fluorescence radiation
Reflections of Unusual Char / 6-10.2:
Elementary Crystallography / 1:
The Crystalline State / 1-1:
Crystalline and Amorphous Solids / 1-1.1:
4.

図書

図書
Hans Neunhoeffer, Paul F. Wiley
出版情報: New York : Wiley, 1978  xxv, 1335 p. ; 24 cm
シリーズ名: The chemistry of heterocyclic compounds : a series of monographs ; v. 33
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1,2,3-Triazines / H. Neunhoeffer
Introduction
Uncondensed Aromatic Systems
Uncondensed Reduced Systems
1,2,3-Triazine Rings Condensed with Carbocycles
1,2,3-Triazine Rings Condensed with Heterocycles through Carbon Atoms
1,2,3-Triazine Rings Condensed with Heterocycles through a Carbon Atom and a Nitrogen Atom
1,2,3-Triazine Rings Condensed with Two Heterocycles
1,2,3-Triazine Rings Condensed with Heterocycles through Two Nitrogen Atoms
Uses and Biochemical Aspects of
1,2,3-Triazine Derivatives
1,2,4-Triazines
Uncondensed Reduced
Condensed
1,2,4-Triazine Systems
1,2,4-Triazine Rings Condensed with Heterocycles through Carbon Atoms
1,2,4-Triazine Rings Condensed with Heterocycles through a Carbon and a Nitrogen Atom
1,2,4-Triazine Rings Condensed with Heterocycles through Two Nitrogen Atoms
1,2,4-Triazine Rings Condensed with Two Heterocycles
1,2,4-Triazine Rings as Part of a Bicyclic System
Polymers Containing the 1,2,4-Triazine Nucleus
References
1,2,4,5-Tetrazines / P. F. Wiley
Verdazyls
Condensed Systems
Polymers
Uses
Other Six-Membered Nitrogen Heterocycles / P. F.Wiley
1,2,3,4-Tetrazines
1,2,3,5-Tetrazines
Pentazines
1,2,3-Triazines / H. Neunhoeffer
Introduction
Uncondensed Aromatic Systems
5.

図書

図書
小平邦彦監修 ; 岩堀長慶 [ほか] 編
出版情報: 東京 : 岩波書店, 1976.5-  冊 ; 22cm
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6.

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.:
7.

図書

図書
edited by Saul Patai
出版情報: Chichester [Eng.] ; New York : J. Wiley, 1979-1992  4 v. ; 24 cm
シリーズ名: The Chemistry of functional groups ; supplement B
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8.

図書

図書
edited by Paul D. Boyer
出版情報: New York : Academic Press, 1976  xxv, 542 p. ; 24 cm
シリーズ名: The enzymes / edited by Paul D. Boyer, Edwin G. Krebs ; v. 13 . Oxidation-reduction ; pt. C
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9.

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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目次情報: 続きを見る
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:
10.

図書

図書
edited by Saul Patai
出版情報: London ; New York : John Wiley & Sons, 1973  2 v. (xiii, 1215 p.) ; 24 cm
シリーズ名: The Chemistry of functional groups
所蔵情報: loading…
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