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Electric power systems --- Harmonics (Electric waves) --- Electric waves
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Electric power systems --- Harmonics (Electric waves) --- Finite element method. --- Mathematical models. --- Mathematics.
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This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry. The author's primary emphasis is on potential theory on the hyperbolic ball, but many other relevant results for the hyperbolic upper half-space are included both in the text and in the end-of-chapter exercises. These exercises expand on the topics covered in the chapter and involve routine computations and inequalities not included in the text. The book also includes some open problems, which may be a source for potential research projects.
Harmonic functions. --- Subharmonic functions. --- Hyperbolic spaces. --- Hyperbolic complex manifolds --- Manifolds, Hyperbolic complex --- Spaces, Hyperbolic --- Geometry, Non-Euclidean --- Functions, Subharmonic --- Functions of real variables --- Potential theory (Mathematics) --- Functions, Harmonic --- Laplace's equations --- Bessel functions --- Differential equations, Partial --- Fourier series --- Harmonic analysis --- Lamé's functions --- Spherical harmonics --- Toroidal harmonics
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Subject: Porphyry's Commentary on Ptolemy's Harmonics is a unique document of Neoplatonic thought on music. Not only does it contain a thorough discussion of the perception and appreciation of pitched sounds, but it also gives us a hint of how the technicalities of music theory might have been taught to non specialised readers with a philosophical background; moreover, it is a treasure of quotations from lost authors and works. The apparatus of this new edition includes all the emendations and conjectures that have been proposed by many scholars since Ingemar Düring's 1932 edition and takes into account a few manuscripts that escaped the previous editor's otherwise remarkable recensio. The boundaries of some quotations from ancient authors are redefined and many misprints corrected. Finally, the text of the Byzantine epitome of the Commentary is here edited for the first time --Publisher's website.
Music, Greek and Roman --- Music theory --- Théorie musicale --- History and criticism --- History --- Histoire --- Ptolemy, --- Musique grecque et romaine --- Early works to 1800. --- Sources. --- Histoire et critique --- Ouvrages avant 1800 --- Sources --- Théorie musicale --- Porphyry. --- Influence. --- Igneous rocks --- Baṭlamyūs, --- Ptholomeus, --- Ptolemaeus, Claudius, --- Ptolemaios, Klaudios, --- Ptolemaus, Claudius, --- Ptolémée, Claude, --- Ptolemeĭ, Klavdiĭ, --- Ptolemy, Claudius, --- Tolemeo, Claudio, --- Tolomeo, Claudio, --- بطليموس --- بطلميوس --- Ptolemaeus, Claudius. --- Ptolémée --- Tolomeo, Claudio --- Harmonics. --- Neoplatonism. --- Harmonics --- Neoplatonism --- Porphyry
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Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrödinger equations are given. Furthermore, an example of an s-harmonic function, its harmonic extension and some insight into a fractional version of a classical conjecture due to De Giorgi are presented. Although the aim is primarily to gather some introductory material concerning applications of the fractional Laplacian, some of the proofs and results are new. The work is entirely self-contained, and readers who wish to pursue related subjects of interest are invited to consult the rich bibliography for guidance.
Harmonic functions. --- Laplace transformation. --- Transformation, Laplace --- Calculus, Operational --- Differential equations --- Transformations (Mathematics) --- Functions, Harmonic --- Laplace's equations --- Bessel functions --- Differential equations, Partial --- Fourier series --- Harmonic analysis --- Lamé's functions --- Spherical harmonics --- Toroidal harmonics --- Harmonic functions --- Laplace transformation --- Fonctions harmoniques --- Laplace, Transformation de --- Differential equations, partial. --- Mathematical optimization. --- Integral Transforms. --- Functional analysis. --- Partial Differential Equations. --- Calculus of Variations and Optimal Control; Optimization. --- Integral Transforms, Operational Calculus. --- Functional Analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Transform calculus --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Partial differential equations --- Partial differential equations. --- Calculus of variations. --- Integral transforms. --- Operational calculus. --- Operational calculus --- Electric circuits --- Isoperimetrical problems --- Variations, Calculus of --- Differential equations, Partial. --- Calculus, Operational.
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This book reports on cutting-edge findings regarding harmonic stability assessment for offshore wind power plants (OWPPs). It presents a timely investigation of the harmonic stability interaction between OWPPs on the one hand, and associated control systems in the wind turbines and other power electronic devices in the transmission system on the other. The book particularly focuses on voltage-sourced converter high-voltage direct current (VSC-HVDC) and static compensator (STATCOM) systems. From a practical perspective, the book reports on appropriate models for power electronic devices. It describes how the frequency domain evaluation approach can be assessed by comparing results obtained with the Nyquist stability criterion against the more detailed electromagnetic transient based model realized in the PSCAD/EMTDC simulation program. The book also provides a concise yet complete overview of large OWPPs that incorporate power electronic devices on a broad scale, and highlights selected challenges and opportunities in the context of real-world applications.
Electrical Engineering --- Electrical & Computer Engineering --- Engineering & Applied Sciences --- Power electronics. --- Offshore wind power plants. --- Harmonics (Electric waves) --- Offshore wind farms --- Offshore windfarms --- Electronics, Power --- Electric power --- Electronics --- Electric waves --- Power-plants --- Production of electric energy or. --- Renewable energy sources. --- Power Electronics, Electrical Machines and Networks. --- Renewable and Green Energy. --- Signal, Image and Speech Processing. --- Alternate energy sources --- Alternative energy sources --- Energy sources, Renewable --- Sustainable energy sources --- Power resources --- Renewable natural resources --- Agriculture and energy --- Renewable energy resources. --- Signal processing. --- Image processing. --- Speech processing systems. --- Computational linguistics --- Electronic systems --- Information theory --- Modulation theory --- Oral communication --- Speech --- Telecommunication --- Singing voice synthesizers --- Pictorial data processing --- Picture processing --- Processing, Image --- Imaging systems --- Optical data processing --- Processing, Signal --- Information measurement --- Signal theory (Telecommunication)
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