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1.

図書
図書
1. Non-homogeneous media and vibration theory (: gw ; : us)
Enrique Sanchez-Palencia
出版情報: Berlin ; New York : Springer-Verlag, 1980  ix, 398 p. ; 25 cm
シリーズ名: Lecture notes in physics ; 127
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2.

図書
図書
2. Oscillation theory of differential equations with deviating arguments
G.S. Ladde, V. Lakshmikantham, B.G. Zhang
出版情報: New York : Marcel Dekker, c1987  vi, 308 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 110
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3.

図書
図書
3. Theory of oscillators
by A.A. Andronov, A.A. Vitt and S.E. Khaikin ; translated from Russian by F. Immirzi ; translation edited and abridged by W. Fishwick
出版情報: Oxford : Pergamon Press, c1966  xxxii, 815 p. ; 24 cm
シリーズ名: International series of monographs in physics ; v. 4
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4.

図書
図書
4. Nonlinear oscillations
by Nicholas Minorsky
出版情報: Malabar, Fla. : R. E. Krieger Pub. Co., 1974  xviii, 714 p. ; 24 cm
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5.

図書
図書
5. Oscillations in chemical reactions (: us ; : gw)
with contributions by O. Gurel and D. Gurel
出版情報: Berlin : Springer-Verlag, 1983  121 p. ; 25 cm
シリーズ名: Topics in current chemistry = Fortschritte der chemischen Forschung ; 118
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6.

図書
図書
6. Нелинейные почти периодические колебания
М.А. Красносельский, В.Ш. Бурд, Ю.С. Колесов
出版情報: Москва : Изд-во "Наука", Глав. ред. физико-математической лит-ры, 1970  351 p. ; 21 cm
シリーズ名: Нелинейный анализ и его приложения
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7.

図書
図書
7. Optimal control of mechanical oscillations
A. Kovaleva ; translated by V. Silberschmidt
出版情報: Berlin ; New York : Springer, c1999  vii, 264 p. ; 24 cm
シリーズ名: Foundation of engineering mechanics
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目次情報: 続きを見る
Optimal periodic control: the integral equations method
Periodic control of vibro-impact systems
The averaging method in oscillation control problems
Oscillations in systems with random disturbances
Some problems of optimal control for systems with random disturbances
Appendix
Optimal periodic control: the integral equations method
Periodic control of vibro-impact systems
The averaging method in oscillation control problems
8.

図書
図書
8. The physics of oscillations and waves : with applications in electricity and mechanics
Ingram Bloch
出版情報: New York : Plenum Press, c1997  x, 317 p. ; 24 cm
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Undamped and Undriven Oscillators and LC Circuits
The Effect of Damping
Sinusoidally Driven Oscillators and Circuit Loops
Sums of Sinusoidal Forces or EMF's - Fourier Analysis
Integration in the Complex Plane
Evaluation of Certain Fourier Integrals - Causality, Green's Functions
Electrical Networks
Nonlinear Oscillations
Coupled Oscillators without Damping - Lagrange's Equations
Matrices - Rotations - Eigenvalues and Eigenvectors - Normal Coordinates
Some Examples of Normal Coordinates
Finite One-Dimensional Periodic Systems
Difference Equations
Infinite One-Dimensional Periodic Systems - Characteristic Impedance
Continuous Systems
Wave Equation
Lagrangian Density
Hamilton's Principle
Applied Forces
Interacting Systems
Other Linear Problems
Nonlinear Waves
Answers to Selected Problems
Index
Undamped and Undriven Oscillators and LC Circuits
The Effect of Damping
Sinusoidally Driven Oscillators and Circuit Loops
9.

図書
図書
9. Oscillations and waves
Fritz K. Kneubühl
出版情報: New York : Springer, 1997  xiv, 523 p. ; 25 cm
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10.

図書
図書
10. Oscillation theory of two-term differential equations
by Uri Elias
出版情報: Dordrecht : Kluwer, c1997  vii, 217 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 396
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目次情報: 続きを見る
Preface
Introduction / 0：
The Basic Lemma / 1：
Boundary Value Functions / 2：
Bases of Solutions / 3：
Comparison of Boundary Value Problems / 4：
Comparison Theorems for Two Equations / 5：
Disfocality and Its Characterization / 6：
Various Types of Disfocality / 7：
Solutions on an Infinite Interval / 8：
Disconjugacy and its Characterization / 9：
Eigenvalue Problems / 10：
More Extremal Points / 11：
Minors of the Wronskian / 12：
The Dominance Property of Solutions / 13：
References
Index
Preface
Introduction / 0：
The Basic Lemma / 1：
11.

図書
図書
11. Problèmes de la théorie asymptotique des oscillations non stationnaires
par Youri A. Mitropolski ; traduit [du russe] par G. Carvalle
出版情報: Paris : Gauthier-Villars, 1966  547 p ; 24 cm
シリーズ名: Monographies internationales de mathématiques modernes ; 7
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12.

図書
図書
12. Oscillations and traveling waves in chemical systems
edited by Richard J. Field, Mária Burger
出版情報: New York : Wiley, c1985  xx, 681 p. ; 25 cm
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目次情報: 続きを見る
The Mathematical Aspects of Temporal Oscillations in Reacting Systems / H. Othmer
Experimental and Mechanistic Characterization of Bromate-Ion-Driven Chemical Oscillations and Traveling Waves in Closed Systems / R. Field
A Quantitative Account of Oscillations, Bistability, and Traveling Waves in the Belousov-Zhabotinskii Reaction / J. Tyson
Mathematical Analysis of the Oregonator Model of the Belousov-Zhabotinskii Reaction / W. Troy
Chemical Oscillators Based on Iodate Ion and Hydrogen Peroxide / S. Furrow
Numerical Techniques for Modeling and Analysis of Oscillating Reactions / D. Edelson ; H. Rabitz
From Bistability to Sustained Oscillations in Homogeneous Chemical Systems in Flow Reactor Mode / P. DeKepper ; J Boissonade
Halogen Based Oscillators in a Flow Reactor / I. Epstein ; M. Orban
Periodically Perturbed Chemical Systems / P. Rehmus ; J. Ross
The Structure and Variety of Chemical Waves / P. Ortoleva ; S. Schmidt
Propagating Reaction-Diffusion Fronts / A. Saul ; K. Showalter
Organizing Centers for Chemical Waves in Two and Three Dimensions / A. Winfree
Gas Evolution Oscillators / P. Bowers ; R. Noyes
Isothermal Oscillations and Relaxation Ignitions in Gas-Phase Reactions: The Oxidations of Carbon Monoxide and Hydrogen / P. Gray ; S. Scott
Thermokinetic Oscillations in Homogeneous Gas Phase Oxidations / J. Griffiths
Oscillating Chemical Reactions as an Example of the Development of a Subfield of Science / M. Burger ; E. Bujdoso
Appendix: A Periodic Reaction and its Mechanism / B. Belousov
References
Index
The Mathematical Aspects of Temporal Oscillations in Reacting Systems / H. Othmer
Experimental and Mechanistic Characterization of Bromate-Ion-Driven Chemical Oscillations and Traveling Waves in Closed Systems / R. Field
A Quantitative Account of Oscillations, Bistability, and Traveling Waves in the Belousov-Zhabotinskii Reaction / J. Tyson
13.

図書
図書
13. Oscillation theory of delay differential equations : with applications
I. Győri and G. Ladas
出版情報: Oxford [England] : Clarendon Press , New York : Oxford University Press, 1991  xii, 368 p. ; 24 cm
シリーズ名: Oxford mathematical monographs
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14.

図書
図書
14. Dynamic instability : automobiles, aircraft, suspension bridges
by Y. Rocard ; translated from the French by M.L. Meyer
出版情報: London : C. Lockwood, 1957  xi, 227 p. ; 23 cm
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15.

図書
図書
15. Oscillation theory for neutral differential equations with delay
D.D. Bainov, D.P. Mishev
出版情報: Bristol ; Philadelphia : A. Hilger, c1991  vi, 280 p. ; 24 cm
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16.

図書
図書
16. Stochastic and chaotic oscillations
by Yu.I. Neimark and P.S. Landa
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1992  xii, 500 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . Soviet series ; v. 77
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17.

図書
図書
17. Combustion-driven oscillations in industry
[by] Abbott A. Putnam
出版情報: New York : American Elsevier Pub. Co., 1971  xiii, 208 p ; 24 cm
シリーズ名: Fuel and energy science series
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18.

図書
図書
18. Oscillations and waves in linear and nonlinear systems
by M.I. Rabinovich and D.I. Trubetskov
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1989  xx, 577 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . Soviet series ; v. 50
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19.

図書
図書
19. Nonlinear oscillations
by Nicholas Minorsky
出版情報: Princeton, N.J. : Van Nostrand, c1962  xviii, 714 p. ; 24 cm
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20.

図書
図書
20. The operator of translation along the trajectories of differential equations
by M.A. Krasnoselʹskiĭ
出版情報: Providence : American Mathematical Society, 1968  vi, 294 p. ; 24 cm
シリーズ名: Translations of mathematical monographs ; v. 19
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21.

図書
図書
21. The theory of plasma waves
Thomas Howard Stix
出版情報: New York : McGraw-Hill, c1962  x, 283 p. ; 24 cm
シリーズ名: McGraw-Hill advanced physics monograph series
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22.

図書
図書
22. Nonradial oscillations of stars. 2nd ed
Wasaburo Unno ... [et al.]
出版情報: Tokyo : University of Tokyo Press, c1989  xii, 420 p. ; 24 cm
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23.

図書
図書
23. Fundamentals of waves & oscillations (: hard ; : pbk)
K.U. Ingard
出版情報: Cambridge ; New York : Cambridge University Press, 1988  xiv, 595 p. ; 26 cm
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目次情報: 続きを見る
Preface
Oscillations / Part 1：
Review of elementary concepts and examples / 1：
Introduction / 1.1：
Harmonic motion defined / 1.2：
The mass--spring oscillator / 1.3：
Examples of harmonic motion / 1.4：
The two-body oscillator. Reduced mass / 1.5：
Two-dimensional oscillator / 1.6：
Nonlinear oscillations / 1.7：
Forced harmonic motion / 1.8：
Free damped motion / 1.9：
Problems
The complex amplitude / 2：
A review of complex numbers / 2.1：
Euler's formula / 2.2：
The complex amplitude of a harmonic function / 2.3：
Discussion / 2.4：
Examples
Forced oscillations and frequency response / 3：
Electro-mechanical analogies / 3.1：
Frequency response / 3.2：
Impedance and admittance / 3.3：
Power transfer / 3.4：
Sources of vibration / 3.5：
Fourier analysis / 3.6：
Arbitrary driving force / 3.8：
Free oscillations and impulse response / 4：
Free oscillations / 4.1：
Impulse response / 4.2：
Response to an arbitrary driving force / 4.3：
Transition to steady state / 4.4：
Coupled oscillators / 4.5：
Free motion. Normal modes / 5.1：
Weakly coupled oscillators. Beats / 5.3：
Orthogonality. Configuration space / 5.4：
Unequal coupled oscillators / 5.6：
Waves / Part 2：
Fundamentals of waves / 6：
What is a wave? / 6.1：
Description of waves (kinematics) / 6.2：
Dynamics. Field equations / 6.3：
Harmonic waves and complex amplitude equations / 6.4：
Examples of waves / 6.5：
Simple demonstrations / 6.6：
Wave power / 6.7：
Wave pulse / 6.8：
Waves in two and three dimensions / 6.9：
Wave reflection, transmission, and absorption / 7：
Wave reflection at a junction / 7.1：
Energy absorption at a termination / 7.2：
Wave reflection and elastic collisions / 7.3：
Resonances and normal modes / 8：
Forced harmonic waves / 8.1：
Forced harmonic motion of the real mass-spring oscillator / 8.2：
Free oscillations and normal modes / 8.3：
Normal mode expansion. Fourier series / 8.4：
Continuous harmonic force distribution / 8.5：
Normal modes in two and three dimensions / 8.6：
Density of normal modes / 8.7：
Electromagnetic waves / 9：
Review of units / 9.1：
EM waves on a cable reconsidered / 9.2：
Maxwell's equations / 9.3：
Plane EM waves / 9.4：
Generation of EM waves / 9.5：
Polarization / 9.6：
Dispersion of EM waves / 9.7：
Acoustic waves in fluids / 10：
Description of fluid motion / 10.1：
Fluid equations / 10.2：
Acoustic field equations / 10.3：
Spherical waves / 10.4：
The acoustic spectrum / 10.5：
Measurements / 10.6：
Wave interference and diffraction / 11：
Interference of two plane waves / 11.1：
Interference of waves from an array of sources / 11.2：
Continuous source distribution / 11.3：
Diffraction / 11.4：
Diffraction limited resolution / 11.5：
Coherence and incoherence / 11.6：
Refraction and reflection / 12：
Trace velocity and Snell's law / 12.1：
Acoustic reflection and transmission coefficients / 12.2：
EM reflection and transmission coefficients / 12.3：
Total reflection / 12.4：
Refraction in a moving medium / 12.5：
Inhomogeneous medium / 12.6：
The Doppler effect / 13：
Mechanical waves / 13.1：
Periodic structures. Dispersion / 13.2：
Wave transmission on a mass-spring lattice / 14.1：
Wave packet and group velocity / 14.2：
Wave impedance and energy flow / 14.3：
Wave attenuation / 14.4：
Normal modes of a one-dimensional lattice / 14.5：
General motion and impulse response of a periodic lattice / 14.6：
Wave guides and cavities / 15：
Propagating and decaying waves / 15.1：
Acoustic waves in a rectangular wave guide / 15.2：
EM waves in a rectangular wave guide / 15.3：
Normal modes in a rectangular cavity / 15.4：
Matter waves / 16：
Review / 16.1：
Free particle wave function / 16.2：
The Uncertainty Principle / 16.3：
Effect of potential. Barrier penetration / 16.4：
Refraction of matter waves / 16.5：
Stationary states. Schroedinger equation / 16.6：
Special Topics / Part 3：
Radiation and scattering / 17：
Sound radiation from a pulsating sphere / 17.1：
Multipole sources / 17.2：
Nonuniform spherical source. Spherical harmonics / 17.3：
Radiation from a continuous source distribution / 17.4：
Huygens' principle and scattering / 17.5：
Acoustic scattering / 17.6：
Electromagnetic scattering / 17.7：
Surface waves on a liquid / 18：
Waves on shallow water / 18.1：
Surface tension / 18.2：
Waves on deep water. Effect of surface tension / 18.3：
Effect of viscosity / 18.4：
Thermal ripples and Brillouin scattering / 18.5：
Liquid-liquid interface. Critical phenomenon / 18.6：
Plasma oscillations and hydromagnetic waves / 19：
The plasma state / 19.1：
Longitudinal waves. (Plasma oscillations) / 19.2：
Transverse waves. (Hydromagnetic or Alfven waves) / 19.3：
Waves in solids / 20：
Longitudinal waves in a rod / 20.1：
Shear waves / 20.2：
Wave reflection. Energy considerations / 20.3：
Bending waves on a plate / 20.4：
Displacement, deformation, and rotation / 20.5：
Stress-strain relation / 20.6：
Relations between elastic constants / 20.7：
Longitudinal and transverse waves / 20.8：
Wave conversion / 20.9：
The Rayleigh wave / 20.10：
Seismology / 20.11：
Feedback oscillations / 21：
The frequency equation / 21.1：
Valve instability / 21.2：
Instability of a vortex sheet / 21.3：
Whistles and wind instruments / 21.4：
Lasers / 21.5：
Heat maintained oscillations. The Rijke tube / 21.6：
Index
Preface
Oscillations / Part 1：
Review of elementary concepts and examples / 1：
24.

図書
図書
24. Differential equations : stability, oscillations, time lags
[by] A. Halanay
出版情報: New York : Academic Press, 1966  xii, 528 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 23
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25.

図書
図書
25. Oscillation theory (: u.s. ; : gw)
Kurt Kreith
出版情報: Berlin ; New York : Springer Verlag, 1973  vi, 109 p. ; 26 cm
シリーズ名: Lecture notes in mathematics ; 324
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26.

図書
図書
26. Nonlinear autonomous oscillations : analytical theory
Minoru Urabe
出版情報: New York : Academic Press, 1967  xi, 330 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 34
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27.

図書
図書
27. Oscillations in nonlinear systems
Jack K. Hale
出版情報: New York : McGraw-Hill, c1963  ix, 180 p. ; 23 cm
シリーズ名: McGraw-Hill series in advanced mathematics with applications
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28.

図書
図書
28. Operators, oscillations, waves (open systems)
by M.S. Livšic ; [Translated from the Russian by Scripta Technica Ltd. ; English translation edited by R. Herden]
出版情報: Providence, R.I. : American Mathematical Society, 1973  vi, 274 p ; 24 cm
シリーズ名: Translations of mathematical monographs ; v. 34
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29.

図書
図書
29. Biological oscillators : their mathematical analysis (: pbk)
Theodosios Pavlidis
出版情報: New York : Academic Press, 1973  xiii, 207 p. ; 24 cm
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30.

図書
図書
30. Oscillation theory for functional differential equations
L.H. Erbe, Qingkai Kong, B.G. Zhang
出版情報: New York : Dekker, c1995  vii, 482 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 190
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目次情報: 続きを見る
Preliminaries
oscillations of first order delay differential equations
oscillation of first order neutral differential equations
oscillation and nonoscillation of second order differential equations with deviating arguments
oscillation of higher order neutral differential equations
oscillation of systems of neutral differential equations
boundary value problems for second order functional differential equations
Preliminaries
oscillations of first order delay differential equations
oscillation of first order neutral differential equations
31.

図書
図書
31. Noise and fluctuations : an introduction
by D.K.C. MacDonald
出版情報: New York : Wiley, c1962  viii, 118 p. ; 24 cm
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32.

図書
図書
32. Dynamic instability : automobiles, aircraft, suspension bridges
by Y. Rocard ; translated from the French by M. L. Meyer
出版情報: New York : Frederik Ungar, 1957  xi, 227 p. ; 23 cm
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33.

図書
図書
33. Les systèmes oscillants : a l'usage des candidats aux certificats de licence et aux diplômes d'ingénieur
par J. Granier
出版情報: Paris : Dunod, 1936  viii, 215 p ; 24 cm
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34.

図書
図書
34. Rhythms of the brain
György Buzsáki
出版情報: New York : Oxford University Press, 2006  xiv, 448 p. ; 24 cm
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目次情報: 続きを見る
Prelude
Introduction / Cycle 1：
Structure defines function / Cycle 2：
Diversity of cortical functions is provided by inhibition / Cycle 3：
Windows on the brain / Cycle 4：
A system of rhythms: from simple to complex dynamics / Cycle 5：
Synchronization by oscillation / Cycle 6：
The brain's default state: self-organized oscillations in rest and sleep / Cycle 7：
Perturbation of the default patterns by experience / Cycle 8：
The gamma buzz: gluing by oscillations in the waking brain / Cycle 9：
Perceptions and actions are brain state-dependent / Cycle 10：
Oscillations in the "other cortex:" navigation in real and memory space / Cycle 11：
Coupling of systems by oscillations / Cycle 12：
The tough problem / Cycle 13：
References
Prelude
Introduction / Cycle 1：
Structure defines function / Cycle 2：
35.

図書
図書
35. Introduction to non-linear mechanics
by N. Kryloff and N. Bogoliuboff. A free translation by Solomon Lefschetz of excerpts from two Russian monographs
出版情報: Princeton : Princeton university press , London : H. Milford, Oxford university press, 1943  2 p.l., [iii]-iv p., 1 l., 105 p. ; 23 cm
シリーズ名: Annals of mathematics studies ; no. 11
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36.

図書
図書
36. Problems of the asymptotic theory of nonstationary vibrations
[by] Yu. A. Mitropolʹskii ; translated from the Russian by Ch. Gutfreund
出版情報: Jerusalem : Israel Program for Scientific Translations, 1965  vi, 385 p. ; 25 cm
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37.

図書
図書
37. Mathematische Schwingungslehre : Theorie der gewöhnlichen Differentialgleichungen mit konstanten Koeffizienten sowie einiges über partielle Differentialgleichungen und Differenzengleichungen
von Erich Schneider
出版情報: Berlin : J. Springer, 1924  vi, 194 p. ; 22 cm
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38.

図書
図書
38. Contributions to the theory of nonlinear oscillations ([v. 1] - v. 5)
edited by S. Lefschetz
出版情報: Princeton : Princeton University Press, 1950-1960  5 v. ; 22-26 cm
シリーズ名: Annals of mathematics studies ; no. 20, 29, 36, 41, 45
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