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Books > Science & Mathematics > Physics > Applied physics & special topics > General

Size Effects in Nanostructures - Basics and Applications (Hardcover, 2014 ed.): Victor Kuncser, Lucica Miu Size Effects in Nanostructures - Basics and Applications (Hardcover, 2014 ed.)
Victor Kuncser, Lucica Miu
R3,709 R3,449 Discovery Miles 34 490 Save R260 (7%) Ships in 10 - 15 working days

The influence of size effects on the properties of nanostructures is subject of this book. Size and interfacial effects in oxides, semiconductors, magnetic and superconducting nanostructures, from very simple to very complex, are considered. The most general meaning is assumed for size effects, including not only the influence of a reduced dimension/dimensionality, but also specific interfacial effects. Preparation and characterization tools are explained for various nanostructures. The specific applications are discussed with respect to size-related properties. A logic implication of type phenomenon-property-material-application is envisaged throughout this work.

Advances in Imaging and Electron Physics, Volume 171 (Hardcover, New): Peter W. Hawkes Advances in Imaging and Electron Physics, Volume 171 (Hardcover, New)
Peter W. Hawkes
R5,279 Discovery Miles 52 790 Ships in 10 - 15 working days

"Advances in Imaging and Electron Physics "merges two long-running serials--"Advances in Electronics and Electron Physics" and "Advances in Optical and Electron Microscopy."

This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.
Key features:

* Contributions from leading authorities * Informs and updates on all the latest developments in the field

Unimolecular and Supramolecular Electronics II - Chemistry and Physics Meet at Metal-Molecule Interfaces (Hardcover, 2012 ed.):... Unimolecular and Supramolecular Electronics II - Chemistry and Physics Meet at Metal-Molecule Interfaces (Hardcover, 2012 ed.)
Robert M. Metzger
R5,169 Discovery Miles 51 690 Ships in 18 - 22 working days

Molecular Electronic Junction Transport: Some Pathways and Some Ideas, by Gemma C. Solomon, Carmen Herrmann and Mark A. Ratner Unimolecular Electronic Devices, by Robert M. Metzger and Daniell L. Mattern Active and Non-Active Large-Area Metal Molecules Metal Junctions, by Barbara Branchi, Felice C. Simeone and Maria A. Rampi Charge Transport in Single Molecular Junctions at the Solid/Liquid Interface, by Chen Li, Artem Mishchenko and Thomas Wandlowski Tunneling Spectroscopy of Organic Monolayers and Single Molecules, by K. W. Hipps Single Molecule Logical Devices, by Nicolas Renaud, Mohamed Hliwa and Christian Joachim"

Application of Titanium Dioxide Photocatalysis to Construction Materials - State-of-the-Art Report of the RILEM Technical... Application of Titanium Dioxide Photocatalysis to Construction Materials - State-of-the-Art Report of the RILEM Technical Committee 194-TDP (Hardcover, 2011 ed.)
Yoshihiko Ohama, Dionys van Gemert
R2,653 Discovery Miles 26 530 Ships in 18 - 22 working days

Titanium dioxide photocatalysis is based on the semiconducting nature of its anatase crystal type. Construction materials with titanium photocatalyst show performances of air purification, self-cleaning, water purification, antibacterial action. This book describes principles of titanium dioxide photocatalysis, its applications to cementitious and noncementitious materials, as well as an overview of standardization of testing methods.

Advances in Imaging and Electron Physics, Volume 167 (Hardcover, New): Peter W. Hawkes Advances in Imaging and Electron Physics, Volume 167 (Hardcover, New)
Peter W. Hawkes
R5,569 Discovery Miles 55 690 Ships in 10 - 15 working days

"Advances in Imaging and Electron Physics "merges two long-running serials--"Advances in Electronics and Electron Physics" and "Advances in Optical and Electron Microscopy."
This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.
* Contributions from leading international scholars and industry experts
* Discusses hot topic areas and presents current and future research trends
* Invaluable reference and guide for physicists, engineers and mathematicians

Optical Communication over Plastic Optical Fibers - Integrated Optical Receiver Technology (Hardcover, 2013 ed.): Mohamed Atef,... Optical Communication over Plastic Optical Fibers - Integrated Optical Receiver Technology (Hardcover, 2013 ed.)
Mohamed Atef, Horst Zimmermann
R3,246 Discovery Miles 32 460 Ships in 18 - 22 working days

This book presents high-performance data transmission over plastic optical fibers (POF) using integrated optical receivers having good properties with multilevel modulation, i.e. a higher sensitivity and higher data rate transmission over a longer plastic optical fiber length. Integrated optical receivers and transmitters with high linearity are introduced for multilevel communication. For binary high-data rate transmission over plastic optical fibers, an innovative receiver containing an equalizer is described leading also to a high performance of a plastic optical fiber link. The cheap standard PMMA SI-POF (step-index plastic optical fiber) has the lowest bandwidth and the highest attenuation among multimode fibers. This small bandwidth limits the maximum data rate which can be transmitted through plastic optical fibers. To overcome the problem of the plastic optical fibers high transmission loss, very sensitive receivers must be used to increase the transmitted length over POF. The plastic optical fiber limited bandwidth problem can be decreased by using multilevel signaling like multilevel pulse amplitude modulation or by using an equalizer for binary data transmission.

Advances in Imaging and Electron Physics, Volume 168 - Optics of Charged Particle Analyzers (Hardcover): Peter W. Hawkes Advances in Imaging and Electron Physics, Volume 168 - Optics of Charged Particle Analyzers (Hardcover)
Peter W. Hawkes
R5,573 Discovery Miles 55 730 Ships in 10 - 15 working days

"Advances in Imaging and Electron Physics "merges two long-running serials--"Advances in Electronics and Electron Physics" and "Advances in Optical and Electron Microscopy."
This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.
* Contributions from leading international scholars and industry experts
* Discusses hot topic areas and presents current and future research trends
* Invaluable reference and guide for physicists, engineers and mathematicians

Advances in Imaging and Electron Physics, Volume 165 (Hardcover, 165th edition): Peter W. Hawkes Advances in Imaging and Electron Physics, Volume 165 (Hardcover, 165th edition)
Peter W. Hawkes
R5,569 Discovery Miles 55 690 Ships in 10 - 15 working days

"Advances in Imaging and Electron Physics "merges two long-running serials--"Advances in Electronics and Electron Physics" and "Advances in Optical and Electron Microscopy."

This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.
* Contributions from leading international scholars and industry experts
* Discusses hot topic areas and presents current and future research trends
* Invaluable reference and guide for physicists, engineers and mathematicians

The Science and Technology of Undulators and Wigglers (Hardcover, New): James A. Clarke The Science and Technology of Undulators and Wigglers (Hardcover, New)
James A. Clarke
R7,197 Discovery Miles 71 970 Ships in 10 - 15 working days

Synchrotron radiation sources are now used routinely by thousands of research scientists and engineers throughout the world to perform experiments in biology, physics, materials science, chemistry and so on. The very best of these sources are based upon the use of undulator and wiggler insertion devices that can enhance the intensity of the radiation by many orders of magnitude. This book, which is part of the Oxford Series on Synchrotron Radiation, brings together both a detailed step by step description of the radiation properties from these devices as well as an explanation of the practical realization of actual devices using available magnet technologies. The book is aimed at not just the users but also the providers of synchrotron radiation. It takes the reader through the fundamental issues, and provides sufficient depth so as to be an indispensable reference to light source designers, accelerator physicists and insertion device specialists. The approach taken is to provide the reader with all of the essential information and to back this up with practical examples and illustrations wherever possible.

Free Convection Film Flows and Heat Transfer - Models of Laminar Free Convection with Phase Change for Heat and Mass Transfer... Free Convection Film Flows and Heat Transfer - Models of Laminar Free Convection with Phase Change for Heat and Mass Transfer Analysis (Hardcover, 2nd ed. 2012)
Deyi Shang
R4,113 Discovery Miles 41 130 Ships in 18 - 22 working days

This book presents recent developments in our systematic studies of hydrodynamics and heat and mass transfer in laminar free convection, accelerating film boiling and condensation of Newtonian fluids, as well as accelerating film flow of non-Newtonian power-law fluids (FFNF). These new developments provided in this book are (i) novel system of analysis models based on the developed New Similarity Analysis Method; (ii) a system of advanced methods for treatment of gas temperature- dependent physical properties, and liquid temperature- dependent physical properties; (iii) the organically combined models of the governing mathematical models with those on treatment model of variable physical properties; (iv) rigorous approach of overcoming a challenge on accurate solution of three-point boundary value problem related to two-phase film boiling and condensation; and (v) A pseudo-similarity method of dealing with thermal boundary layer of FFNF for greatly simplifies the heat-transfer analysis and numerical calculation. A system of practical application equations on heat and mass transfer are provided in each chapter, which are formulated based on the rigorous numerical solutions with consideration of variable physical properties. In addition, in the second edition, other new research developments are further included on resolving an even big challenge associated with investigations of laminar free film condensation of vapour-gas mixture. They involve the novel methods for treatment of concentration- and temperature- dependent physical properties of vapour-gas mixture, and for rigorous solution of interfacial vapour saturation temperature, which have lead to rigorous analysis and calculation results on two-phase film flow velocity, temperature, and concentration fields, as well as condensate heat and mass transfer.

Electro-Chemo-Mechanics of Anodic Porous Alumina Nano-Honeycombs: Self-Ordered Growth and Actuation (Hardcover, 2015 ed.):... Electro-Chemo-Mechanics of Anodic Porous Alumina Nano-Honeycombs: Self-Ordered Growth and Actuation (Hardcover, 2015 ed.)
Chuan Cheng
R4,237 R3,437 Discovery Miles 34 370 Save R800 (19%) Ships in 10 - 15 working days

In this thesis, real-time evolution of the nanopore channel growth and self-ordering process in anodic nanoporous alumina are simulated on the basis of an established kinetics model. The simulation results were in accordance with the experiments on the (i) growth sustainability of pore channels guided by pre-patterns; and (ii) substrate grain orientation dependence on self-ordering. In addition, a new fabrication method for the rapid synthesis of highly self-ordered nanoporous alumina is established, based on a systematic search for the self-ordering conditions in experiments. Lastly, it reports on a novel surface-charge induced strain in nanoporous alumina-aluminium foils, which indicates that nanoporous alumina can be used as a new type of actuating material in micro-actuator applications.

Detection of Trapped Antihydrogen (Hardcover, 2013 ed.): Richard Hydomako Detection of Trapped Antihydrogen (Hardcover, 2013 ed.)
Richard Hydomako
R3,281 Discovery Miles 32 810 Ships in 10 - 15 working days

In 2010, the ALPHA collaboration achieved a first for mankind: the stable, long-term storage of atomic antimatter, a project carried out a the Antiproton Decelerator facility at CERN. A crucial element of this observation was a dedicated silicon vertexing detector used to identify and analyze antihydrogen annihilations. This thesis reports the methods used to reconstruct the annihilation location. Specifically, the methods used to identify and extrapolate charged particle tracks and estimate the originating annihilation location are outlined. Finally, the experimental results demonstrating the first-ever magnetic confinement of antihydrogen atoms are presented. These results rely heavily on the silicon detector, and as such, the role of the annihilation vertex reconstruction is emphasized.

Advances in Imaging and Electron Physics, Volume 163 - Optics of Charged Particle Analyzers (Hardcover, 163rd edition): Peter... Advances in Imaging and Electron Physics, Volume 163 - Optics of Charged Particle Analyzers (Hardcover, 163rd edition)
Peter W. Hawkes
R5,557 Discovery Miles 55 570 Ships in 10 - 15 working days

"Advances in Imaging and Electron Physics " merges two long-running serials--"Advances in Electronics and Electron Physics" and "Advances in Optical and Electron Microscopy."
This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.
* Contributions from leading international scholars and industry experts
* Discusses hot topic areas and presents current and future research trends
* Invaluable reference and guide for physicists, engineers and mathematicians

Exciton Polaritons in Microcavities - New Frontiers (Hardcover, 2012): Daniele Sanvitto, Vladislav Timofeev Exciton Polaritons in Microcavities - New Frontiers (Hardcover, 2012)
Daniele Sanvitto, Vladislav Timofeev
R4,753 Discovery Miles 47 530 Ships in 18 - 22 working days

In the past decade, there has been a burst of new and fascinating physics associated to the unique properties of two-dimensional exciton polaritons, their recent demonstration of condensation under non-equilibrium conditions and all the related quantum phenomena, which have stimulated extensive research work. This monograph summarizes the current state of the art of research on exciton polaritons in microcavities: their interactions, fast dynamics, spin-dependent phenomena, temporal and spatial coherence, condensation under non-equilibrium conditions, related collective quantum phenomena and most advanced applications. The monograph is written by the most active authors who have strongly contributed to the advances in this area. It is of great interests to both physicists approaching this subject for the first time, as well as a wide audience of experts in other disciplines who want to be updated on this fast moving field.

Lectures on Hyperhamiltonian Dynamics and Physical Applications (Hardcover, 1st ed. 2017): Giuseppe Gaeta, Miguel A Rodriguez Lectures on Hyperhamiltonian Dynamics and Physical Applications (Hardcover, 1st ed. 2017)
Giuseppe Gaeta, Miguel A Rodriguez
R2,455 Discovery Miles 24 550 Ships in 10 - 15 working days

This book provides the mathematical foundations of the theory of hyperhamiltonian dynamics, together with a discussion of physical applications. In addition, some open problems are discussed. Hyperhamiltonian mechanics represents a generalization of Hamiltonian mechanics, in which the role of the symplectic structure is taken by a hyperkahler one (thus there are three Kahler/symplectic forms satisfying quaternionic relations). This has proved to be of use in the description of physical systems with spin, including those which do not admit a Hamiltonian formulation. The book is the first monograph on the subject, which has previously been treated only in research papers.

Advances in Imaging and Electron Physics, Volume 162 - Optics of Charged Particle Analyzers (Hardcover, 161 Ed): Peter W. Hawkes Advances in Imaging and Electron Physics, Volume 162 - Optics of Charged Particle Analyzers (Hardcover, 161 Ed)
Peter W. Hawkes
R5,562 Discovery Miles 55 620 Ships in 10 - 15 working days

"Advances in Imaging and Electron Physics " merges two long-running serials--"Advances in Electronics and Electron Physics" and "Advances in Optical and Electron Microscopy."
This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.
* Contributions from leading international scholars and industry experts
* Discusses hot topic areas and presents current and future research trends
* Invaluable reference and guide for physicists, engineers and mathematicians

Advances in Imaging and Electron Physics, Volume 164 (Hardcover, 161 Ed): Peter W. Hawkes Advances in Imaging and Electron Physics, Volume 164 (Hardcover, 161 Ed)
Peter W. Hawkes
R5,572 Discovery Miles 55 720 Ships in 10 - 15 working days

"Advances in Imaging and Electron Physics " merges two long-running serials--"Advances in Electronics and Electron Physics" and "Advances in Optical and Electron Microscopy."
This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.
* Contributions from leading international scholars and industry experts
* Discusses hot topic areas and presents current and future research trends
* Invaluable reference and guide for physicists, engineers and mathematicians

Advances in Imaging and Electron Physics, Volume 161 - Optics of Charged Particle Analyzers (Hardcover, 161st edition): Peter... Advances in Imaging and Electron Physics, Volume 161 - Optics of Charged Particle Analyzers (Hardcover, 161st edition)
Peter W. Hawkes
R5,563 Discovery Miles 55 630 Ships in 10 - 15 working days

"Advances in Imaging and Electron Physics " merges two long-running serials--"Advances in Electronics and Electron Physics" and "Advances in Optical and Electron Microscopy."
This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.
* Contributions from leading international scholars and industry experts
* Discusses hot topic areas and presents current and future research trends
* Invaluable reference and guide for physicists, engineers and mathematicians

Advances in Imaging and Electron Physics, Volume 160 (Hardcover, 161 Ed): Peter W. Hawkes Advances in Imaging and Electron Physics, Volume 160 (Hardcover, 161 Ed)
Peter W. Hawkes
R5,564 Discovery Miles 55 640 Ships in 10 - 15 working days

"Advances in Imaging and Electron Physics " merges two long-running serials--"Advances in Electronics and Electron Physics" and "Advances in Optical and Electron Microscopy."
This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.
* Contributions from leading international scholars and industry experts
* Discusses hot topic areas and presents current and future research trends
* Invaluable reference and guide for physicists, engineers and mathematicians

Dynamics and Vibrations - Progress in Nonlinear Analysis (Hardcover, 2014 ed.): Seyed Habibollah Hashemi Kachapi, Davood... Dynamics and Vibrations - Progress in Nonlinear Analysis (Hardcover, 2014 ed.)
Seyed Habibollah Hashemi Kachapi, Davood Domairry Ganji
R4,585 R3,514 Discovery Miles 35 140 Save R1,071 (23%) Ships in 10 - 15 working days

Dynamical and vibratory systems are basically an application of mathematics and applied sciences to the solution of real world problems. Before being able to solve real world problems, it is necessary to carefully study dynamical and vibratory systems and solve all available problems in case of linear and nonlinear equations using analytical and numerical methods. It is of great importance to study nonlinearity in dynamics and vibration; because almost all applied processes act nonlinearly, and on the other hand, nonlinear analysis of complex systems is one of the most important and complicated tasks, especially in engineering and applied sciences problems.
There are probably a handful of books on nonlinear dynamics and vibrations analysis. Some of these books are written at a fundamental level that may not meet ambitious engineering program requirements. Others are specialized in certain fields of oscillatory systems, including modeling and simulations. In this book, we attempt to strike a balance between theory and practice, fundamentals and advanced subjects, and generality and specialization. None of the books in this area have completely studied and analyzed nonlinear equation in dynamical and vibratory systems using the latest analytical and numerical methods, so that the user can solve the problems without the need of studying too many different references. Thereby in this book, by the use of the latest analytic, numeric laboratorial methods and using more than 300 references like books, papers and the researches done by the authors and by considering almost all possible processes and situation, new theories has been proposed to encounter applied problems in engineering and applied sciences. In this way, the user (bachelor's, master's and PhD students, university teachers and even in research centers in different fields of mechanical, civil, aerospace, electrical, chemical, applied mathematics, physics, and etc.) can encounter such systems confidently. In the different chapters of the book, not only are the linear and especially nonlinear problems with oscillatory form broadly discussed, but also applied examples are practically solved by the proposed methodology.

Amorphous Nanophotonics (Hardcover, 2013 ed.): Carsten Rockstuhl, Toralf Scharf Amorphous Nanophotonics (Hardcover, 2013 ed.)
Carsten Rockstuhl, Toralf Scharf
R5,112 R4,791 Discovery Miles 47 910 Save R321 (6%) Ships in 10 - 15 working days

This book represents the first comprehensive overview over amorphous nano-optical and nano-photonic systems. Nanophotonics is a burgeoning branch of optics that enables many applications by steering the mould of light on length scales smaller than the wavelength with devoted nanostructures. Amorphous nanophotonics exploits self-organization mechanisms based on bottom-up approaches to fabricate nanooptical systems. The resulting structures presented in the book are characterized by a deterministic unit cell with tailored geometries; but their spatial arrangement is not controlled. Instead of periodic, the structures appear either amorphous or random. The aim of this book is to discuss all aspects related to observable effects in amorphous nanophotonic material and aspects related to their design, fabrication, characterization and integration into applications. The book has an interdisciplinary nature with contributions from scientists in physics, chemistry and materials sciences and sheds light on the topic from many directions.

Advances in Imaging and Electron Physics, Volume 158 (Hardcover, 158th edition): Peter W. Hawkes Advances in Imaging and Electron Physics, Volume 158 (Hardcover, 158th edition)
Peter W. Hawkes
R5,567 Discovery Miles 55 670 Ships in 10 - 15 working days

Advances in Imaging and Electron Physics merges two long-running serials--Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.

Updated with contributions from leading international scholars and industry experts
Discusses hot topic areas and presents current and future research trends
Provides an invaluable reference and guide for physicists, engineers and mathematicians

Laser Shock Processing of FCC Metals - Mechanical Properties and Micro-structural Strengthening Mechanism (Hardcover, 2013... Laser Shock Processing of FCC Metals - Mechanical Properties and Micro-structural Strengthening Mechanism (Hardcover, 2013 ed.)
Yongkang Zhang, Jinzhong Lu, Kaiyu Luo
R2,658 Discovery Miles 26 580 Ships in 18 - 22 working days

Laser shock processing (LSP) is a new and promising surface treatment technique for improving the fatigue durability, corrosion, wear resistance and other mechanical properties of metals and alloys. During LSP, the generated shock wave can introduce a deep compressive residual stress into the material, due to its high-pressure (GPa-TPa), ultra-fast (several tens nanoseconds), ultra-high strain-rate and high-energy. The overall properties and behavior of metal materials subjected to LSP were significantly improved because a refined surface layer was successfully obtained. Nevertheless, up to now, a clear scenery between micro-structure and macro-property of the refined surface layer, especially formation of sub-micrometer grains from coarse grains during severe plastic deformation, is still pending. Therefore, the basic studies of the underlying mechanism for grain refinement by ultra-high strain-rate presented in this book becomes more and more crucial.

Advances in Imaging and Electron Physics, Volume 156 (Hardcover, 156th edition): Peter W. Hawkes Advances in Imaging and Electron Physics, Volume 156 (Hardcover, 156th edition)
Peter W. Hawkes
R5,274 Discovery Miles 52 740 Ships in 10 - 15 working days

"Advances in Imaging and Electron Physics" merges two long-running serials--"Advances in Electronics and Electron Physics" and "Advances in Optical and Electron Microscopy." This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.

Advances in Imaging and Electron Physics, Volume 155 - Selected Problems of Computational Charged Particle Optics (Hardcover,... Advances in Imaging and Electron Physics, Volume 155 - Selected Problems of Computational Charged Particle Optics (Hardcover, 155th edition)
Dmitry Greenfield, Mikhael Monastyrskii; Series edited by Peter W. Hawkes
R5,272 Discovery Miles 52 720 Ships in 10 - 15 working days

"Advances in Imaging and Electron Physics" merges two long-running serials--"Advances in Electronics and Electron Physics" and "Advances in Optical and Electron Microscopy." This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.
This monograph summarizes the authors' knowledge and experience acquired over many years in their work on computational charged particle optics. Its main message is that even in this era of powerful computers with a multitude of general-purpose and problem-oriented programs, asymptotic analysis based on perturbation theory remains one of the most effective tools to penetrate deeply into the essence of the problem in question.

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