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Books > Science & Mathematics > Physics > Classical mechanics
An image or video sequence is a series of two-dimensional (2-D)
images sequen tially ordered in time. Image sequences can be
acquired, for instance, by video, motion picture, X-ray, or
acoustic cameras, or they can be synthetically gen erated by
sequentially ordering 2-D still images as in computer graphics and
animation. The use of image sequences in areas such as
entertainment, visual communications, multimedia, education,
medicine, surveillance, remote control, and scientific research is
constantly growing as the use of television and video systems are
becoming more and more common. The boosted interest in digital
video for both consumer and professional products, along with the
availability of fast processors and memory at reasonable costs, has
been a major driving force behind this growth. Before we elaborate
on the two major terms that appear in the title of this book,
namely motion analysis and image sequence processing, we like to
place them in their proper contexts within the range of possible
operations that involve image sequences. In this book, we choose to
classify these operations into three major categories, namely (i)
image sequence processing, (ii) image sequence analysis, and (iii)
visualization. The interrelationship among these three categories
is pictorially described in Figure 1 below in the form of an "image
sequence triangle.""
Thermodynamics is not the oldest of sciences. Mechanics can make
that claim.
Thermodynamicsisaproductofsomeofthegreatestscienti?cmindsofthe19thand
20th centuries. But it is suf?ciently established that most authors
of new textbooks in thermodynamics ?nd it necessary to justify
their writing of yet another textbook. I ?nd this an unnecessary
exercise because of the centrality of thermodynamics as a science
in physics, chemistry, biology, and medicine. I do acknowledge,
however, that instruction in thermodynamics often leaves the
student in a confused state. My attempt in this book is to present
thermodynamics in as simple and as uni?ed a form as possible. As
teachers we identify the failures of our own teachers and attempt
to correct them. Although I personally acknowledge with a deep
gratitude the appreciation for thermodynamics that I found as an
undergraduate, I also realize that my teachers did not convey to me
the sweeping grandeur of thermodynamics. Speci?cally the s- plicity
and the power that James Clerk Maxwell found in the methods of
Gibbs were not part of my undergraduate experience. Unfortunately
some modern authors also seem to miss this central theme, choosing
instead to introduce the thermodynamic potentials as only useful
functions at various points in the development.
Proceedings of IAU Symposium No. 48 held in Morioka, Japan, May
9-15, 1971
This book offers frameworks for the material modeling of gradient
materials both for finite and small deformations within elasticity,
plasticity, viscosity, and thermomechanics. The first chapter
focuses on balance laws and holds for all gradient materials. The
next chapters are dedicated to the material modeling of second and
third-order materials under finite deformations. Afterwards the
scope is limited to the geometrically linear theory, i.e., to small
deformations. The next chapter offers an extension of the concept
of internal constraints to gradient materials. The final chapter is
dedicated to incompressible viscous gradient fluids with the
intention to describe, among other applications, turbulent flows,
as already suggested by Saint-Venant in the middle of the 19th
century.
The idea for organl.zl.ng an Advanced Research Workshop entirely
devoted to the Earth rotation was born in 1983 when Professor
Raymond Hide suggested this topic to the special NATO panel of
global transport mechanism in the Geosciences. Such a specialized
meeting did not take place since the GEOP research conference on
the rotation of the Earth and polar motion which was held at the
Ohio State University (USA) in 1973. In the last ten years, highly
precise measurements of the Earth's rotation parameters and new
global geophysical data have become available allowing major
advance to be made in the under standing of the various
irregularities affecting the Earth's rotation. The aim of the
workshop was to bring together scientists who have made important
contributions in this field during the last decade both at the
observational and geophysical interpretation levels. The confe
rence was divided into four main topics. The first session was
dedicated to the definition, implementation and maintenance of the
terrestrial and celestial reference systems. A few critical points
have been identified as requiring further improvements: (i) appro
priate selection of terrestrial sites recognized for their long
term stability, (ii) determination of the relationship between
terrestrial and celestial references systems as well as between the
various terrestrial ones, (iii) improvment of the theory of a
rotating elastic earth (the recently adopted theory needs already
some corrections')."
Despite their apparent simplicity, the behaviour of pendulums can
be remarkably complicated. Historically, pendulums for specific
purposes have been developed using a combination of simplified
theory and trial and error. There do not appear to be any
introductory books on pendulums, written at an intermediate level,
and covering a wide range of topics. This book aims to fill the
gap. It is written for readers with some background in elementary
geometry, algebra, trigonometry and calculus. Historical
information, where available and useful for the understanding of
various types of pendulum and their applications, is included.
Perhaps the best known use of pendulums is as the basis of clocks
in which a pendulum controls the rate at which the clock runs.
Interest in theoretical and practical aspects of pendulums, as
applied to clocks, goes back more than four centuries. The concept
of simple pendulums, which are idealised versions of real pendulums
is introduced. The application of pendulums to clocks is described,
with detailed discussion of the effect of inevitable differences
between real pendulums and simple pendulums. In a clock, the
objective is to ensure that the pendulum controls the timekeeping.
However, pendulums are sometimes driven, and how this affects their
behaviour is described. Pendulums are sometimes used for occult
purposes. It is possible to explain some apparently occult results
by using modern pendulum theory. For example, why a ring suspended
inside a wine glass, by a thread from a finger, eventually strikes
the glass. Pendulums have a wide range of uses in scientific
instruments, engineering, and entertainment. Some examples are
given as case studies. Indexed in the Book Citation Index- Science
(BKCI-S)
TUrbulence modeling encounters mixed evaluation concerning its
impor tance. In engineering flow, the Reynolds number is often very
high, and the direct numerical simulation (DNS) based on the
resolution of all spatial scales in a flow is beyond the capability
of a computer available at present and in the foreseeable near
future. The spatial scale of energetic parts of a turbulent flow is
much larger than the energy dissipative counterpart, and they have
large influence on the transport processes of momentum, heat,
matters, etc. The primary subject of turbulence modeling is the
proper es timate of these transport processes on the basis of a
bold approximation to the energy-dissipation one. In the
engineering community, the turbulence modeling is highly evaluated
as a mathematical tool indispensable for the analysis of real-world
turbulent flow. In the physics community, attention is paid to the
study of small-scale components of turbulent flow linked with the
energy-dissipation process, and much less interest is shown in the
foregoing transport processes in real-world flow. This research
tendency is closely related to the general belief that universal
properties of turbulence can be found in small-scale phenomena.
Such a study has really contributed much to the construction of
statistical theoretical approaches to turbulence. The estrangement
between the physics community and the turbulence modeling is
further enhanced by the fact that the latter is founded on a weak
theoretical basis, compared with the study of small-scale
turbulence."
The major aim of this book is to introduce the ways in which
scientists approach and think about a phenomenon -- hearing -- that
intersects three quite different disciplines: the physics of sound
sources and the propagation of sound through air and other
materials, the anatomy and physiology of the transformation of the
physical sound into neural activity in the brain, and the
psychology of the perception we call hearing. Physics, biology, and
psychology each play a role in understanding how and what we hear.
The text evolved over the past decade in an attempt to convey
something about scientific thinking, as evidenced in the domain of
sounds and their perception, to students whose primary focus is not
science. It does so using a minimum of mathematics (high school
functions such as linear, logarithmic, sine, and power) without
compromising scientific integrity. A significant enrichment is the
availability of a compact disc (CD) containing over 20 examples of
acoustic demonstrations referred to in the book. These
demonstrations, which range from echo effects and filtered noise to
categorical speech perception and total more than 45 minutes, are
invaluable resources for making the text come alive.
This book is an attempt to bring together various and diverse
scientific areas of research that have the common theme of wave
propagation phenomena. There are few branches of Science and
Engineering in which wave propagation phenomena do not have a part
to play. Example areas of basic research and technological
applications are shock waves in compressible media, stress waves in
solid materials, astrophysical flows, electromagnetic waves,
magneto gas dynamics, geophysical phenomena, hydraulics,
combustion-driven waves and many others. There are fourteen
contributions from distinguished researchers from eight countries.
The emphasis is on modern numerical methods for waves. The Harten
Memorial Lecture presented by P.L. Roe, University of Michigan,
USA, deals with state-of-the-art numerical methods with novel
applications. The book is suitable for scientists and engineers in
all areas involving wave propagation. The level is advanced and
suitable for post-graduate students and researchers in academia and
industry.
The scope of this book is to present in a systematic and unified
manner the ray method (in its various forms) for studying nonlinear
wave propagation in situations of physical interest (essentially
fluid dynamics and plasma physics). The book could be used for an
advanced graduate course on nonlinear waves. It should also be of
interest to applied mathematicians, physicists and engineers,
working in areas related to nonlinear waves.
In these lectures, most of them given at the University of Montreal while he held the Aisenstadt Chair, Roman Jackiw provides a view of fluid dynamics from an entirely novel perspective. He begins by explaining the motivation and reviewing the classical theory, but in a manner different from textbook discussions. Among other topics, he discusses conservation laws and Euler equations, and a method for finding their canonical structure; C. Eckart's Lagrangian and a relativistic generalization for vortex-free motion; nonvanishing vorticity and the Clebsch parameterization for the velocity vector. Jackiw then discusses some specific models for nonrelativistic and relativistic fluid mechanics with more than one spatial dimension, including the Chaplygin gas (whose negative pressure is inversely proportional to density), and the scalar Born-Infeld model. He shows how both the Chaplygin gas and the Born-Infeld model devolve from the parameterization-invariant Nambu-Goto action. As in particle physics, Jackiw shows, fluid mechanics enhanced by supersymmetry, non-Abelian degrees of freedon, and non commuting coordinates. Jackiw discusses the need for a non-Abelian fluid mechanics, and proposes a Lagrangian, which involves a non-Abelian auxiliary field, whose Chern-Simons density should be a total derivative. The generalization to magnetohydrodynamics, which results from including a dynamical non-Abelian guage filed, reduces in the Abelian limit to conventional magnetohydrodynamics. For one-dimensional cases, the models mentioned above are completely integrable, and Jackiw gives the general solution of the Chaplygin gas and the Born-Infeld model on a line, as well as a general solution of the Nambu-Goto theory for a 1-brane (string) in two spatial dimensions. Jackiw discusses the need for a non-Abelian fluid mechanics and proposes a Lagrangian, which involves a non-Abelian auxiliary field whose Chern-Simons density should be a total derivative. The generalization to magnetohydrodynamics, which results from including a dynamical non-Abelian gauge field, reduces in the Abelian limit to conventional magnetohydrodynamics.
This book provides a new Unified Strength Theory and describes its applications. The Unified Strength Theory is a system of yield and failure criteria of materials under complex stresses. It covers the entire range of convex failure criteria, from lower bound (Tresca yield criteria and Mohr-Coulomb failure criteria) to upper bound (twin-shear failure criteria). It also includes the non-convex yield and non-convex failure criteria. A series of new failure criteria and previous failure and yield criteria can be deduced from the Unified Strength Theory. The work presented in this book is unprecedented in the field of strength theory. It is useful for students in understanding the strength theory, for engineers to correctly use it and for researchers to choose an appropriate failure criteria in studying the strenth of materials and structures. An experimental verification, engineering applications, a detailed historical review and more than 1000 references are provided.
"Completing Transition: The Main Challenges" was the topic around which the Oesterreichische Nationalbank and the Joint Vienna Institute organized a high-level conference in 2000, in a continuation of long-standing efforts to promote the dialogue and understanding between various regions in Europe. Given the heterogeneity of the transition countries of Central and Eastern Europe and the heterogeneity of progress toward convergence, the outlook for finishing transition is divergent. However, what will generally be important is corporate governance and institutional reform to sufficiently underpin macroeconomic success, plus a definite commitment of the responsible institutions in the transition countries to follow the chosen policies consistently.
The construction of solutions of singularly perturbed systems of
equations and boundary value problems that are characteristic for
the mechanics of thin-walled structures are the main focus of the
book. The theoretical results are supplemented by the analysis of
problems and exercises. Some of the topics are rarely discussed in
the textbooks, for example, the Newton polyhedron, which is a
generalization of the Newton polygon for equations with two or more
parameters. After introducing the important concept of the index of
variation for functions special attention is devoted to eigenvalue
problems containing a small parameter. The main part of the book
deals with methods of asymptotic solutions of linear singularly
perturbed boundary and boundary value problems without or with
turning points, respectively. As examples, one-dimensional
equilibrium, dynamics and stability problems for rigid bodies and
solids are presented in detail. Numerous exercises and examples as
well as vast references to the relevant Russian literature not well
known for an English speaking reader makes this a indispensable
textbook on the topic.
The idea of this Colloquium came during the XVIIth General Assembly
of the I. A. U. at Montreal. The meeting was organized under the
auspices of I. A. U. Commission 5 (Documentation and Astronomical
Data). The Scientific Organizing Committee consisted of C. Jaschek
(chairperson), O. Dluzhnevskaya, B. Hauck (vice chairperson), W.
Heintz, P. Lantos, Th. Lederle, J. Mead~ G. Ruben, Y. Terashita, G.
Wilkins. The members of this Committee are to be thanked for their
devotion to the organization of what turned out to be a very
successful meeting. The program was organized so as to cover most
of the aspects concerning work with machine readable data. In a
certain sense it is the develop ment of the subjects of I. A. U.
Colloquium 35 "Compilation, critical evaluation and distribution of
stellar data" held at Strasbourg in 1976. The meeting was opened by
welcoming addresses delivered by Dr A. Florsch, Director of the
Strasbourg Observatory, Prof. H. Curien, President of the European
Science Foundation and Prof. W. Heintz, President of I. A. U.
Commission 5. The sessions were devoted to the fol lowing subjects
: Existing data centers, Data networks, New hardware, Recent
software developments, Bibliographical services, Copyright,
Editorial policies and nomenclature, Data in astronomy and Data in
space astronomy. The different sessions were chaired by G. A.
Pilkins, J. Mead, S. Lavrov, W. Heintz, P. Lantos, M. McCarthy, J.
Delhaye and G. Westerhout. On July 9. Dr A.
Hadamard Matrix Analysis and Synthesis: With Applications to
Communications and Signal/Image Processing presents the basic
concepts of Sylvester's construction of Hadamard matrices, the
eigenvalue-eigenvector decompositions, along with its relationship
to Fourier transforms. Relevant computational structures are
included for those interested in implementing the Hadamard
transform. The 2-dimensional Hadamard transform is discussed in
terms of a 1- dimensional transform. The applications presented
touch on statistics, error correction coding theory, communications
signaling, Boolean function analysis and synthesis, image
processing, sequence theory (maximal length binary sequences,
composite sequences, and Thue-Morse sequences) and signal
representation. An interesting application of the Hadamard
transform to images is the Naturalness Preserving Transform (NPT),
which is presented. The NPT provides a way to encode an image that
can be reconstructed when it is transmitted through a noisy or an
unfriendly channel. The potential applications of the Hadamard
transform are wide and the book samples many of the important
concepts among a vast field of applications of the transform.
Hadamard Matrix Analysis and Synthesis: With Applications to
Communications and Signal/Image Processing serves as an excellent
reference source and may be used as a text for advanced courses on
the topic.
This book gives the basic analytical framework for the description
of turbulent flows and discusses various types encountered by civil
engineers involved in hydraulic analysis and design, as well as
environmental engineers. It also presents a detailed exposition of
the various dimensions of turbulent flow. The book is extremely
useful for practising engineers, particularly in the field of
hydraulic analysis and design, building dynamics and environmental
engineering.
The formalism processing of unbuckled solids mechanics involves
several mathematical tools which are to be mastered at the same
time. This volume collects the main points which take place in the
course of the formalism, so that the user immediately finds what he
needs without looking for it. Furthermore, the book contains a
methodological formulary to guide the user in his approach.
This volume constitutes an advanced introduction to the field of
analysis, modeling and numerical simulation of rigid body
mechanical systems with unilateral constraints. The topics include
Moreau's sweeping process, the numerical analysis of nonsmooth
multibody systems with friction, the study of energetical
restitution coefficients for elasto-plastic models, the study of
stability and bifurcation in systems with impacts, and the
development of a multiple impact rule for Newton's cradle and the
simple rocking model. Combining pedagogical aspects with innovative
approaches, this book will not only be of interest to researchers
working actively in the field, but also to graduate students
wishing to get acquainted with this field of research through
lectures written at a level also accessible to nonspecialists.
This book is a collection of contributions presented at the 16th
Conference on Acoustic and Vibration of Mechanical Structure held
in Timisoara, Romania, May 28, 2021. The conference focused on a
broad range of topics related to acoustics and vibration, such as
noise and vibration control, noise and vibration generation and
propagation, effects of noise and vibration, condition monitoring
and vibration testing, modelling, prediction and simulation of
noise and vibration, environmental and occupational noise and
vibration, noise and vibration attenuators, biomechanics and
bioacoustics. The book also discusses analytical, numerical and
experimental techniques applicable to analyze linear and non-linear
noise and vibration problems (including strong nonlinearity) and it
is primarily intended to emphasize the actual trends and
state-of-the-art developments in the above mentioned topics. The
primary audience of this book consist of academics, researchers and
professionals, as well as PhD students concerned with various
fields of acoustics and vibration of mechanical structures.
Turbulence and the associated turbulent transport of scalar and
vector fields is a classical physics problem that has dazzled
scientists for over a century, yet many fundamental questions
remain. Igor Rogachevskii, in this concise book, systematically
applies various analytical methods to the turbulent transfer of
temperature, particles and magnetic field. Introducing key concepts
in turbulent transport including essential physics principles and
statistical tools, this interdisciplinary book is suitable for a
range of readers such as theoretical physicists, astrophysicists,
geophysicists, plasma physicists, and researchers in fluid
mechanics and related topics in engineering. With an overview to
various analytical methods such as mean-field approach, dimensional
analysis, multi-scale approach, quasi-linear approach, spectral tau
approach, path-integral approach and analysis based on budget
equations, it is also an accessible reference tool for advanced
graduates, PhD students and researchers.
This book is the result of two decades of research work which
started with an accidental observation. One of my students, Dipl.
phys. Volkmar Lenz, - ticed that the speckle pattern of laser light
scattered by a cuvette containing diluted milk performed a strange
motion every time he came near the cuvette with his thumb. After
thinkingabout this e?ect we came to the conclusion that this motion
can only be caused by scatteringparticles with di?erent velocities,
as in the case of the di?raction pattern of an optical grating: A
linear motion of the grating does not change the pattern whereas a
rotation of the grating does. The observed speckle motion could
then be explained qualitatively as produced by the inhomogeneous
velocity of the convection within the cuvette which was produced by
the heat of the thumb. The theoretical treatment of this e?ect
revealed that the velocity gradient of the light scattering medium
is responsible for the speckle motion. The idea to use this e?ect
for developingmeasurement techniques for velocity gradients arose
almost immediately. For that purpose we had to develop not only
experimental set-ups to measure the pattern velocity but also the
theory which describes the connection between this velocity and the
velocity gradient. The result of this work together with the
description of a method developed by another group forms the
contents of this book. I am indebted to the students who worked in
my laboratory and developed the measurement techniques. These were,
in temporal order, Dr.
Formalism of classical mechanics underlies a number of powerful
mathematical methods that are widely used in theoretical and
mathematical physics. This book considers the basics facts of
Lagrangian and Hamiltonian mechanics, as well as related topics,
such as canonical transformations, integral invariants, potential
motion in geometric setting, symmetries, the Noether theorem and
systems with constraints. While in some cases the formalism is
developed beyond the traditional level adopted in the standard
textbooks on classical mechanics, only elementary mathematical
methods are used in the exposition of the material. The
mathematical constructions involved are explicitly described and
explained, so the book can be a good starting point for the
undergraduate student new to this field. At the same time and where
possible, intuitive motivations are replaced by explicit proofs and
direct computations, preserving the level of rigor that makes the
book useful for the graduate students intending to work in one of
the branches of the vast field of theoretical physics. To
illustrate how classical-mechanics formalism works in other
branches of theoretical physics, examples related to
electrodynamics, as well as to relativistic and quantum mechanics,
are included.
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