Magnetic Positioning Equations Book

Magnetic Positioning Equations


  • Author : Mordechay Esh
  • Publisher : Academic Press
  • Release Date : 2012-06-29
  • Genre: Science
  • Pages : 112
  • ISBN 10 : 9780123985064

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Magnetic Positioning Equations Excerpt :

In the study of Magnetic Positioning Equations, it is possible to calculate and create analytical expressions for the intensity of magnetic fields when the coordinates x, y and z are known; identifying the inverse expressions is more difficult. This book is designed to explore the discovery of how to get the coordinates of analytical expressions x, y and z when the intensity of the magnetic fields are known. The discovery also deals with the problem of how to analyze, define and design any type of transmitter along with its positioning equation(s). Presents new simple mathematical solution expressions. Describes how to solve analytically the 6D systems filing Defines practical multiple turns coil transmitters and their positioning equations Uses optimization methods with positioning equations to improve the sensitivity problem Presents more theoretical approach to define magnetic positioning equations

Magnetic Positioning Equations Book

Magnetic Positioning Equations


  • Author : Mordechay Esh
  • Publisher : Academic Press
  • Release Date : 2012
  • Genre: Science
  • Pages : 102
  • ISBN 10 : 9780123985057

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Magnetic Positioning Equations Excerpt :

In the study of Magnetic Positioning Equations, it is possible to calculate and create analytical expressions for the intensity of magnetic fields when the coordinates x, y and z are known; identifying the inverse expressions is more difficult. This book is designed to explore the discovery of how to get the coordinates of analytical expressions x, y and z when the intensity of the magnetic fields are known. The discovery also deals with the problem of how to analyze, define and design any type of transmitter along with its positioning equation(s). Presents new simple mathematical solution expressions. Describes how to solve analytically the 6D systems filing Defines practical multiple turns coil transmitters and their positioning equations Uses optimization methods with positioning equations to improve the sensitivity problem Presents more theoretical approach to define magnetic positioning equations

Approximate Analytical Methods for Solving Ordinary Differential Equations Book

Approximate Analytical Methods for Solving Ordinary Differential Equations


  • Author : T.S.L Radhika
  • Publisher : CRC Press
  • Release Date : 2014-10-31
  • Genre: Mathematics
  • Pages : 200
  • ISBN 10 : 9781466588134

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Approximate Analytical Methods for Solving Ordinary Differential Equations Excerpt :

Approximate Analytical Methods for Solving Ordinary Differential Equations (ODEs) is the first book to present all of the available approximate methods for solving ODEs, eliminating the need to wade through multiple books and articles. It covers both well-established techniques and recently developed procedures, including the classical series solution method, diverse perturbation methods, pioneering asymptotic methods, and the latest homotopy methods. The book is suitable not only for mathematicians and engineers but also for biologists, physicists, and economists. It gives a complete description of the methods without going deep into rigorous mathematical aspects. Detailed examples illustrate the application of the methods to solve real-world problems. The authors introduce the classical power series method for solving differential equations before moving on to asymptotic methods. They next show how perturbation methods are used to understand physical phenomena whose mathematical formulation involves a perturbation parameter and explain how the multiple-scale technique solves problems whose solution cannot be completely described on a single timescale. They then describe the Wentzel, Kramers, and Brillown (WKB) method that helps solve both problems that oscillate rapidly and problems that have a sudden change in the behavior of the solution function at a point in the interval. The book concludes with recent nonperturbation methods that provide solutions to a much wider class of problems and recent analytical methods based on the concept of homotopy of topology.

Magnetic Materials and Technologies for Medical Applications Book

Magnetic Materials and Technologies for Medical Applications


  • Author : Alexander Tishin
  • Publisher : Woodhead Publishing
  • Release Date : 2021-11-18
  • Genre: Technology & Engineering
  • Pages : 662
  • ISBN 10 : 9780128225332

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Magnetic Materials and Technologies for Medical Applications Excerpt :

The study of electromagnetic fields in the treatment of various diseases is not a new one; however, we are still learning how magnetic fields impact the human body and its organs. Many novel magnetic materials and technologies could potentially transform medicine. Magnetic Materials and Technologies for Medical Applications explores these current and emerging technologies. Beginning with foundational knowledge on the basics of magnetism, this book then details the approaches and methods used in the creation of novel magnetic materials and devices. This book also discusses current technologies and applications, as well as the commercial aspects of introducing new technologies to the field. This book serves as an excellent introduction for early career researchers or a reference to more experienced researchers who wish to stay abreast of current trends and developing technologies in the field. This book could also be used by clinicians working in medicine and companies interested in establishing new medical technologies. Each chapter provides novel tasks for future scientific and technology research studies. Outlines the basics of magnetism for enhanced understanding of its applications in medicine Covers novel magnetic devices as well as technologies still under development, including magnetic brain stimulation, biosensors, and nanoparticles for drug delivery Explores commercial opportunities and obstacles to market entry for new magnetic materials and technologies for the medical field

Introduction to Electromagnetic Waves with Maxwell s Equations Book

Introduction to Electromagnetic Waves with Maxwell s Equations


  • Author : Ozgur Ergul
  • Publisher : John Wiley & Sons
  • Release Date : 2021-11-08
  • Genre: Science
  • Pages : 592
  • ISBN 10 : 9781119626725

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Introduction to Electromagnetic Waves with Maxwell s Equations Excerpt :

Discover an innovative and fresh approach to teaching classical electromagnetics at a foundational level Introduction to Electromagnetic Waves with Maxwell’s Equations delivers an accessible and practical approach to teaching the wellknown topics all electromagnetics instructors must include in their syllabus. Based on the author’s decades of experience teaching the subject, the book is carefully tuned to be relevant to an audience of engineering students who have already been exposed to the basic curricula of linear algebra and multivariate calculus. Forming the backbone of the book, Maxwell’s equations are developed step-by-step in consecutive chapters, while related electromagnetic phenomena are discussed simultaneously. The author presents accompanying mathematical tools alongside the material provided in the book to assist students with retention and comprehension. The book contains over 100 solved problems and examples with stepwise solutions offered alongside them. An accompanying website provides readers with additional problems and solutions. Readers will also benefit from the inclusion of: A thorough introduction to preliminary concepts in the field, including scalar and vector fields, cartesian coordinate systems, basic vector operations, orthogonal coordinate systems, and electrostatics, magnetostatics, and electromagnetics An exploration of Gauss’ Law, including integral forms, differential forms, and boundary conditions A discussion of Ampere’s Law, including integral and differential forms and Stoke’s Theorem An examination of Faraday’s Law, including integral and differential forms and the Lorentz Force Law Perfect for third-and fourth-year undergraduate students in electrical engineering, mechanical engineering, applied maths, physics, and computer science, Introduction to Electromagnetic Waves with Maxwell’s Equations will also earn a place in the libraries of graduate and postgraduate students in any STEM program with applications

Simultaneous Systems of Differential Equations and Multi Dimensional Vibrations Book

Simultaneous Systems of Differential Equations and Multi Dimensional Vibrations


  • Author : Luis Manuel Braga da Costa Campos
  • Publisher : CRC Press
  • Release Date : 2019-11-20
  • Genre: Mathematics
  • Pages : 299
  • ISBN 10 : 9780429638589

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Simultaneous Systems of Differential Equations and Multi Dimensional Vibrations Excerpt :

Simultaneous Differential Equations and Multi-Dimensional Vibrations is the fourth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This fourth book consists of two chapters (chapters 7 and 8 of the set). The first chapter concerns simultaneous systems of ordinary differential equations and focuses mostly on the cases that have a matrix of characteristic polynomials, namely linear systems with constant or homogeneous power coefficients. The method of the matrix of characteristic polynomials also applies to simultaneous systems of linear finite difference equations with constant coefficients. The second chapter considers linear multi-dimensional oscillators with any number of degrees of freedom including damping, forcing, and multiple resonance. The discrete oscillators may be extended from a finite number of degrees-of-freedom to infinite chains. The continuous oscillators correspond to waves in homogeneous or inhomogeneous media, including elastic, acoustic, electromagnetic, and water surface waves. The combination of propagation and dissipation leads to the equations of mathematical physics. Presents simultaneous systems of ordinary differential equations and their elimination for a single ordinary differential equation Includes cases with a matrix of characteristic polynomials, including simultaneous systems of linear differential and finite difference equations with constant coefficients Covers multi-dimensional oscillators with damping and forcing, including modal decomposition, natural frequencies and coordinates, and multiple resonance Discusses waves in inhomogeneous media, such as elastic, electromagnetic, acoustic, and water waves Includes solutions of partial differential equations of mathematical physics by separation of variables leading to ordinary differential equations

Nature Book

Nature


  • Author : Sir Norman Lockyer
  • Publisher : Unknown
  • Release Date : 1883
  • Genre: Electronic journals
  • Pages : null
  • ISBN 10 : UVA:X001485763

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Nature Excerpt :

Distribution Coefficients of Magnets Book

Distribution Coefficients of Magnets


  • Author : U.S. Coast and Geodetic Survey
  • Publisher : Unknown
  • Release Date : 1930
  • Genre: Geomagnetism
  • Pages : 30
  • ISBN 10 : PSU:000071906775

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Distribution Coefficients of Magnets Excerpt :

The Encyclopaedia Britannica Book

The Encyclopaedia Britannica


  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1882
  • Genre: Encyclopedias and dictionaries
  • Pages : null
  • ISBN 10 : ZHBL:ZHBL-00036266

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The Encyclopaedia Britannica Excerpt :

Encyclopaedia Britannica Book

Encyclopaedia Britannica


  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1891
  • Genre: Encyclopedias and dictionaries
  • Pages : null
  • ISBN 10 : IND:30000095331942

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Encyclopaedia Britannica Excerpt :

Modified Maxwell Equations in Quantum Electrodynamics Book

Modified Maxwell Equations in Quantum Electrodynamics


  • Author : Henning F. Harmuth
  • Publisher : World Scientific
  • Release Date : 2001
  • Genre: Science
  • Pages : 312
  • ISBN 10 : 9789812799654

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Modified Maxwell Equations in Quantum Electrodynamics Excerpt :

Divergencies in quantum field theory referred to as OC infinite zero-point energyOCO have been a problem for 70 years. Renormalization has always been considered an unsatisfactory remedy. In 1985 it was found that Maxwell''s equations generally do not have solutions that satisfy the causality law. An additional term for magnetic dipole currents corrected this shortcoming. Rotating magnetic dipoles produce magnetic dipole currents, just as rotating electric dipoles in a material like barium titanate produce electric dipole currents. Electric dipole currents were always part of Maxwell''s equations. This book shows that the correction of Maxwell''s equations eliminates the infinite zero-point energy in quantum electrodynamics. In addition, it presents many more new results. Contents: Monopole, Dipole, and Multipole Currents; Hamiltonian Formalism; Quantization of the Pure Radiation Field; KleinOCoGordon Equation and Vacuum Constants. Readership: Senior undergraduates, graduate students, researchers and academics in quantum, atomic, theoretical, mathematical and nuclear physics."

Position Sensitive Gaseous Photomultipliers  Research and Applications Book

Position Sensitive Gaseous Photomultipliers Research and Applications


  • Author : Francke, Tom
  • Publisher : IGI Global
  • Release Date : 2016-05-23
  • Genre: Technology & Engineering
  • Pages : 562
  • ISBN 10 : 9781522502432

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Position Sensitive Gaseous Photomultipliers Research and Applications Excerpt :

Gaseous photomultipliers are defined as gas-filled devices capable of recording single ultraviolet (UV) and visible photons with high position resolution. Used in a variety of research areas, these detectors can be paired with computers to treat and store imaging information of UV-light. Position-Sensitive Gaseous Photomultipliers: Research and Applications explores the advancement of gaseous detectors as applied for single photon detection. Emphasizing emerging perspectives and new ways to apply gaseous detectors across research fields, this research-based publication is an essential reference source for engineers, physicists, graduate-level students, and researchers.