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An Introduction to Optimal Control
by Yury Shestopalov, Elena Pronina
English | 2023 | ISBN: 1527528804 | 261 Pages | PDF | 8.57 MB

This book explores the major techniques involved in optimization, control theory, and calculus of variations. The book serves as a concise contemporary guide to optimal control theory, optimization, numerical methods and beyond. As such, it is a valuable source to learn mathematical modeling and the mathematical nature of optimization and optimal control. The presence of a variety of exercises solved down to numerical values is one of the main characteristic features of the book. Another one is its compactness, and the material's usefulness in preparing and teaching several different university courses. The investigation of trends and their formation undertaken in the book leads seamlessly into extrapolation techniques and rigorous methods of scientific prediction. The research for this book was accomplished at the Russian Technological University (RTU) MIREA, based on the courses which have been taught at the RTU for many years.

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An Introduction to Semiclassical and Microlocal Analysis by André Martinez
English | PDF | 2002 | 193 Pages | ISBN : 0387953442 | 11.2 MB
The following lecture notes correspond to a course taught for several years, first at the University of Paris-Nord (France) and then at the University of Bologna (Italy). They are mainly addressed to nonspecialists in the subject, and their purpose is to present in a pedagogical way most of the techniques used in the microlocal treatment of semiclassical problems coming from quantum physics. Both the standard Coo pseudodifferential calculus and the analytic microlocal analysis are developed, in a context that remains intentionally global so that only the relevant difficulties of the theory are encountered. The main original ity lies in the fact that we derive all the main features of analytic microlocal analysis from a single a priori estimate, which turns out to be elementary once the Coo pseudodifferential calculus is established. Various detailed exercises are given at the end of the main chapters, most of them being easily solvable by students. Besides illustrating the main results of the lecture, their aim is also to introduce the reader to various further developments of the theory, such as the functional calculus of pseudodifferential operators, properties of the analytic wave front set, Gevrey classes, the use of coherent states, the notion of semiclassical measures, WKB constructions. Applications to the study of the Schrodinger operator are also discussed in the text, so that they may help the understanding of new notions or general results where they appear by replacing them in the context of quantum mechanics.

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An Introduction to the Kähler-Ricci Flow by Sebastien Boucksom, Philippe Eyssidieux, Vincent Guedj
English | PDF (True) | 2013 | 342 Pages | ISBN : 3319008188 | 2.8 MB
This volume collects lecture notes from courses offered at several conferences and workshops, and provides the first exposition in book form of the basic theory of the Kähler-Ricci flow and its current state-of-the-art. While several excellent books on Kähler-Einstein geometry are available, there have been no such works on the Kähler-Ricci flow. The book will serve as a valuable resource for graduate students and researchers in complex differential geometry, complex algebraic geometry and Riemannian geometry, and will hopefully foster further developments in this fascinating area of research.

The Ricci flow was first introduced by R. Hamilton in the early 1980s, and is central in G. Perelman's celebrated proof of the Poincaré conjecture. When specialized for Kähler manifolds, it becomes the Kähler-Ricci flow, and reduces to a scalar PDE (parabolic complex Monge-Ampère equation).
As a spin-off of his breakthrough, G. Perelman proved the convergence of the Kähler-Ricci flow on Kähler-Einstein manifolds of positive scalar curvature (Fano manifolds). Shortly after, G. Tian and J. Song discovered a complex analogue of Perelman's ideas: the Kähler-Ricci flow is a metric embodiment of the Minimal Model Program of the underlying manifold, and flips and divisorial contractions assume the role of Perelman's surgeries.
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An Introduction to the Relativistic Theory of Gravitation by Petr Hájíček
English | PDF | 2008 | 289 Pages | ISBN : 3540786589 | 2.9 MB
The contemporary theoretical physics consists, by and large, of two independent parts. The rst is the quantum theory describing the micro-world of elementary p- ticles, the second is the theory of gravity that concerns properties of macroscopic systems such as stars, galaxies, and the universe. The relativistic theory of gr- itation which is known as general relativity was created, at the beginning of the last century, by more or less a single man from pure idea combinations and bold guessing. The task was to "marry" the theory of gravity with the theory of special relativity. The rst attempts were aimed at considering the gravitational potential as a eld in Minkowski space-time. All those attempts failed; it took 10 years until Einstein nally solved the problem. The dif culty was that the old theory of gravity as well as the young theory of special relativity had to be modi ed. The next 50 years were dif cult for this theory because its experimental basis remained weak and its complicated mathematical structure was not well understood. However, in the subsequent period this theory ourished. Thanks to improvements in the te- nology and to the big progress in the methods of astronomical observations, the amount of observable facts to which general relativity is applicable was consid- ably enlarged. This is why general relativity is, today, one of the best experimentally tested theories while many competing theories could be disproved. Also the conc- tual and mathematical fundamentals are better understood now.

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An Investigation of Hate Speech in Italian: Use, Identification, and Perception
by Silvio Cruschina, Chiara Gianollo
English | 2024 | ISBN: 9789523691155 | 384 Pages | True PDF | 6.4 MB

Language is a key element in constructing and reinforcing social identities. Through hate speech, language becomes an instrument of creating and spreading stereotypes, discrimination, and social injustices based on attributes such as race, ethnicity, religion, gender, nationality, political ideology, disability, or sexual orientation. The rise of digital communication, especially social media, has made hate speech a major topic of research in various fields. An Investigation of Hate Speech in Italian analyses hate speech from a linguistic perspective. The focus is not only on lexical means, but also on more subtle grammatical and pragmatic strategies related to implicit meanings or conversational dynamics. The volume identifies the common linguistic characteristics of hate speech in different domains of communication and explores criteria that can help distinguish between hate speech and freedom of expression. The studies in this volume focus on Italian, but the methods and findings can easily be extended to other languages for comparative and contrastive purposes. The chapters utilize extensive research data. Social media platforms have provided linguistic data that would otherwise be challenging to collect and analyse systematically. The chapters allow readers to link linguistic insights to different real-world contexts, helping them understand the impact language has on various aspects of life and society.

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An Invitation to Fractal Geometry: Fractal Dimensions, Self-Similarity and Fractal Curves
by Michel L. Lapidus, Goran Radunovic
English | 2024 | ISBN: 1470476231 | 632 Pages | True PDF | 15.4 MB

This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Targeting undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequisites beyond a solid foundation in undergraduate mathematics. While fractal geometry may seem esoteric, this book demystifies it by providing a thorough introduction to its mathematical underpinnings and applications. Complete proofs are provided for most of the key results, and exercises of different levels of difficulty are proposed throughout the book. Key topics covered include the Hausdorff metric, Hausdorff measure, and fractal dimensions such as Hausdorff and Minkowski dimensions. The text meticulously constructs and analyzes Hausdorff measure, offering readers a deep understanding of its properties. Through emblematic examples like the Cantor set, the Sierpinski gasket, the Koch snowflake curve, and the Weierstrass curve, readers are introduced to self-similar sets and their construction via the iteration of contraction mappings. The book also sets the stage for the advanced theory of complex dimensions and fractal drums by gently introducing it via a variety of classical examples, including well-known fractal curves. By intertwining historical context with rigorous mathematical exposition, this book serves as both a stand-alone resource and a gateway to deeper explorations in fractal geometry.

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An Tagen wie diesen: Berühmte Songzeilen und ihre Geschichte By Günther Fischer; Manfred Prescher
2016 | 238 Pages | ISBN: 3806233888 | EPUB | 1 MB
Songzeilen und ihre wahre Geschichte: Jeder von uns kennt Liedzeilen, die einem nicht mehr aus dem Kopf gehen, die man mit einem besonderen Ereignis verbindet oder die einfach nur seltsam findet. Die Musikexperten Günther Fischer und Manfred Prescher haben für diesen Band wieder unzählige solcher Texte gesammelt und erzählen uns, was wirklich hinter ihnen steckt. Dabei beziehen sie die verschiedensten Genres - von Rock'n'Roll bis Heavy Metal, von Disco bis R&B, von HipHop bis Schlager - mit ein. Sie entführen den Leser auf einen Streifzug durch die letzten sieben Jahrzehnte und nehmen gleichermaßen nationale und internationale Hits unter die Lupe. Die vielfältige Auswahl reicht von Helene Fischers 'Atemlos durch die Nacht' zu 'Clint Eastwood' von den Gorillaz. 'Like a Virgin' von Madonna ist ebenso vertreten wie 'Hound Dog' von Elvis Presley, Adeles 'Hello' oder 'Sonderzug nach Pankow' von Udo Lindenberg. Hier kommt wirklich jeder Musikfan auf seine Kosten und wird bei einer geselligen Runde mit neuem Musikwissen glänzen können!

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Analog Filters in Nanometer CMOS by Heimo Uhrmann , Robert Kolm , Horst Zimmermann
English | PDF (True) | 2014 | 173 Pages | ISBN : 3642380123 | 4.9 MB
Starting from the basics of analog filters and the poor transistor characteristics in nanometer CMOS 10 high-performance analog filters developed by the authors in 120 nm and 65 nm CMOS are described extensively. Among them are gm-C filters, current-mode filters, and active filters for system-on-chip realization for Bluetooth, WCDMA, UWB, DVB-H, and LTE applications. For the active filters several operational amplifier designs are described. The book, furthermore, contains a review of the newest state of research on low-voltage low-power analog filters. To cover the topic of the book comprehensively, linearization issues and measurement methods for the characterization of advanced analog filters are introduced in addition. Numerous elaborate illustrations promote an easy comprehension. This book will be of value to engineers and researchers in industry as well as scientists and Ph.D students at universities. The book is also recommendable to graduate students specializing on nanoelectronics, microelectronics or circuit engineering.

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Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers by P. M. Gadea , J. Muñoz Masqué
English | PDF (True) | 2001 | 446 Pages | ISBN : 904813563X | 4 MB
A famous Swiss professor gave a student's course in Basel on Riemann surfaces. After a couple of lectures, a student asked him, "Professor, you have as yet not given an exact de nition of a Riemann surface." The professor answered, "With Riemann surfaces, the main thing is to UNDERSTAND them, not to de ne them." The student's objection was reasonable. From a formal viewpoint, it is of course necessary to start as soon as possible with strict de nitions, but the professor's - swer also has a substantial background. The pure de nition of a Riemann surface- as a complex 1-dimensional complex analytic manifold-contributes little to a true understanding. It takes a long time to really be familiar with what a Riemann s- face is. This example is typical for the objects of global analysis-manifolds with str- tures. There are complex concrete de nitions but these do not automatically explain what they really are, what we can do with them, which operations they really admit, how rigid they are. Hence, there arises the natural question-how to attain a deeper understanding? One well-known way to gain an understanding is through underpinning the d- nitions, theorems and constructions with hierarchies of examples, counterexamples and exercises. Their choice, construction and logical order is for any teacher in global analysis an interesting, important and fun creating task.

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Analysis and Simulation of Noise in Nonlinear Electronic Circuits and Systems by Alper Demir , Alberto Sangiovanni-Vincentelli
English | PDF | 1998 | 278 Pages | ISBN : 0792380371 | 21.4 MB
In electronic circuit and system design, the word noise is used to refer to any undesired excitation on the system. In other contexts, noise is also used to refer to signals or excitations which exhibit chaotic or random behavior. The source of noise can be either internal or external to the system. For instance, the thermal and shot noise generated within integrated circuit devices are in ternal noise sources, and the noise picked up from the environment through electromagnetic interference is an external one. Electromagnetic interference can also occur between different components of the same system. In integrated circuits (Ies), signals in one part of the system can propagate to the other parts of the same system through electromagnetic coupling, power supply lines and the Ie substrate. For instance, in a mixed-signal Ie, the switching activity in the digital parts of the circuit can adversely affect the performance of the analog section of the circuit by traveling through the power supply lines and the substrate. Prediction of the effect of these noise sources on the performance of an electronic system is called noise analysis or noise simulation. A methodology for the noise analysis or simulation of an electronic system usually has the following four components: 2 NOISE IN NONLINEAR ELECTRONIC CIRCUITS * Mathematical representations or models for the noise sources. * Mathematical model or representation for the system that is under the in fluence of the noise sources.

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Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact by Praveen Agarwal
English | EPUB | 2021 | 635 Pages | ISBN : 9811624496 | 100.3 MB
This edited volume is a collection of selected research articles discussing the analysis of infectious diseases by using mathematical modelling in recent times. Divided into two parts, the book gives a general and country-wise analysis of Covid-19. Analytical and numerical techniques for virus models are presented along with the application of mathematical modelling in the analysis of their spreading rates and treatments. The book also includes applications of fractional differential equations as well as ordinary, partial and integrodifferential equations with optimization methods. Probability distribution and their bio-mathematical applications have also been studied. This book is a valuable resource for researchers, scholars, biomathematicians and medical experts.

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Analysis of Linear Control System
by R. L. Narasimham
English | 2019 | ISBN: 9389583462 | 833 Pages | True PDF | 18 MB

This book provides an up-to-date information on a number of important topics in control systems engineering.
The book includes.
Major historical landmarks in the development of the area of control systems engineering.
Algebraic solution through laplace transform of linear differential equations which describe the operation of control systems.
Information concerning the basis or inherent operating characteristics of a system.
Mathematical modeling of electromechanical system typical transducers and control systems.
Stability analysis.
Application of the root-locus method to the design of control systems.
Frequency response analysis with all varieties of graphical Descriptions including relative stability.
State-space methods.
Compensation techniques.
This book will be useful for students of electrical / electronics / chemical / instrumentation disciplines and those appearing for AMIE, GATE, Civil services and Engineering services. A large number of solved and unsolved problems, review questions, MCQs are the prime feature of the book.

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Anamnesis and the Eucharist: Contemporary Anglican Approaches By Julie Gittoes
2016 | 199 Pages | ISBN: 0754661768 | EPUB | 1 MB
Engaging with contemporary Anglican theology of the Eucharist through the concept of anamnesis, this book seeks to enrich the Church's understanding of transformation and mission. Eucharistic theology finds its place in the midst of much contemporary Anglican theology but little attention has been given to the interrelationship between mission and the Eucharist. Julie Gittoes engages with the work of David Ford, Rowan Williams and Catherine Pickstock who share a common concern to engage with the way in which the Eucharist shapes the life of the worshipping community as the body of Christ. Focusing on the concept of anamnesis (remembrance or memorial), Gittoes highlights a language of connection in the way in which anamnesis describes the integration of historical, sacramental and ecclesial embodiments of Christ. The Eucharist looks back to the saving events of Christ's life, death and resurrection; through it the Church is nourished with the body of Christ; participating in it anticipates the eschatological fulfilment of the Kingdom. This book explores the connection between the source event of the Church's life and the transformative encounter with Christ in the Eucharist, the effects of which are seen in social/ethical/political action and the Church's mission.

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Zhesheng Ouyang, "Ancient Beijing and Western Civilization"
English | ISBN: 1032880333 | 2024 | 408 pages | EPUB | 1048 KB
This book explores the historical interactions between Beijing and the West before the Opium War. It focuses on the experiences of Western travellers, missionaries, and envoys who visited Beijing during the Yuan, Ming, and Qing dynasties.

As the capital of Imperial China since the Yuan dynasty, Beijing has been central to communication between China and the West. The study uses first-hand historical materials such as travelogues, memoirs, letters, Ming and Qing archives, and scholarly works from both the West and China. It examines their journeys to Beijing, their lives in the city, and their interactions with imperial officials and ordinary people. The book reconstructs Western perceptions of Beijing and their observations of its architecture, customs, geography, and China's history, culture, and political system. It also addresses important historical issues in Sino-Western relations, including the controversy over Chinese rites between Beijing and the Vatican, attempts to trade with Beijing, sinological studies, and intelligence gathering. The insights gained greatly enhance our understanding of the history of cultural exchange between China and the West.
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Ancient Book of Enoch By Ken Johnson
2012 | 204 Pages | ISBN: 1480102768 | EPUB | 1 MB
The Holy Spirit inspired Jude to quote Enoch for a reason. The Ancient Book of Enoch opens by addressing those in the Tribulation period. It contains numerous prophecies about the flood and fire judgments, and the two comings of the Messiah. It teaches that the Messiah is the Son of God and that He will shed His blood to redeem us and even predicts the generation that this would occur! The book of Enoch prophesies a window of time in which the Second Coming would occur and prophesies that there will be twenty-three Israeli Prime Ministers ruling in fifty-eight terms from AD 1948 to the beginning of the Tribulation period, and much more. Even though it prophecies that the Bible would be created and says we will be judged by our obedience to the Bible, it also makes it clear that this book is not to be added to the Canon of Scripture.The Ancient Book of Enoch recounts the history of the angels that fell in the days of Jared, Enoch's father. It testifies to their marriages with human women and their genetic experiments. This commentary includes a previously unknown chapter from the Dead Sea Scrolls that actually explains how they did their genetic tampering. The commentary is from a fundamentalist Christian view, brought to you by Biblefacts Ministries, biblefacts.org.

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