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"The World Magnetic Model is the standard model used by the U.S. Department of Defense, the U.K. Ministry of Defence, the North Atlantic Treaty Organization (NATO) and the International Hydrographic Organization (IHO), for navigation, attitude and heading referencing systems using the geomagnetic field. It is also used widely in civilian navigation and heading systems."
Geomagnetism --- Spherical harmonics. --- Navigation. --- Magnetic pole. --- Earth sciences. --- Mathematical models.
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This open access book is devoted to the theoretical and experimental studies of a novel accelerator light source mechanism called steady-state microbunching (SSMB) which promises high-power, high-repetition rate, narrow-band coherent radiation in an electron storage ring. The contribution of this dissertation consists of three parts: first, answers the question of how to realize SSMB from a beam dynamics perspective; second, reveals what radiation characteristics can we obtain from the formed SSMB; and third, experimentally demonstrates the working mechanism of SSMB in a real machine for the first time. The highlights of this book can be summarized as: Presents the first proof-of-principle experiment of a promising accelerator light source mechanism; Covers precision longitudinal and transverse-longitudinal coupling dynamics in a storage ring; Provides useful formulas and example parameters for high-power infrared, EUVand soft X-ray light source design. .
Particle accelerators. --- Synchrotrons. --- Lasers. --- Harmonics (Electric waves). --- X-rays. --- Photonics. --- Quantum optics. --- Accelerator Physics. --- Synchrotron Techniques. --- Laser. --- Harmonics and X-Ray generation. --- Ultrafast Photonics. --- Quantum Optics.
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This monograph is concerned with wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet bases using special functions, especially Bessel, Hermite, Tchebychev, and Gegenbauer polynomials. ContentsReview of orthogonal polynomialsHomogenous polynomials and spherical harmonicsReview of special functionsSpheroidal-type wavelets Some applicationsSome applications
Wavelets (Mathematics) --- Wavelet analysis --- Harmonic analysis --- Wavelets. --- harmonic analysis. --- special functions. --- spherical harmonics. --- zonal functions.
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This open access book focuses on processing, modeling, and visualization of anisotropy information...
Mathematics. --- Visualization. --- Matrix theory. --- Algebra. --- Computer mathematics. --- Optical data processing. --- Mathematical physics. --- Linear and Multilinear Algebras, Matrix Theory. --- Computational Science and Engineering. --- Computer Imaging, Vision, Pattern Recognition and Graphics. --- Theoretical, Mathematical and Computational Physics. --- Physical mathematics --- Physics --- Optical computing --- Visual data processing --- Bionics --- Electronic data processing --- Integrated optics --- Photonics --- Computers --- Computer mathematics --- Mathematics --- Mathematical analysis --- Visualisation --- Imagination --- Visual perception --- Imagery (Psychology) --- Math --- Science --- Optical equipment --- Visualization --- Linear and Multilinear Algebras, Matrix Theory --- Computational Science and Engineering --- Computer Imaging, Vision, Pattern Recognition and Graphics --- Theoretical, Mathematical and Computational Physics --- Data and Information Visualization --- Linear Algebra --- tensor --- tensor fields --- higher-order harmonics --- spherical harmonics --- image processing --- medical imaging --- diffusion-weighted imaging (DWI) --- structural mechanics --- astrophysics --- statistics --- open access --- Combinatorics & graph theory --- Algebra --- Maths for scientists --- Computer vision --- Mathematical physics --- Computer science
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