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Real Quaternionic Calculus Handbook


Real Quaternionic Calculus Handbook
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Real Quaternionic Calculus Handbook


Real Quaternionic Calculus Handbook
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Author : Joao Pedro Morais
language : en
Publisher: Birkhauser
Release Date : 2014-01-31

Real Quaternionic Calculus Handbook written by Joao Pedro Morais and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-31 with categories.


This book establishes concrete examples rather than general theorems in its exploration of the multifacted subject of real quaternion analysis. The material is presented in a straightforward writing style, with exercises at the end of each chapter.



Real Quaternionic Calculus Handbook


Real Quaternionic Calculus Handbook
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Author : João Pedro Morais
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-01-08

Real Quaternionic Calculus Handbook written by João Pedro Morais and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-08 with Mathematics categories.


Real quaternion analysis is a multi-faceted subject. Created to describe phenomena in special relativity, electrodynamics, spin etc., it has developed into a body of material that interacts with many branches of mathematics, such as complex analysis, harmonic analysis, differential geometry, and differential equations. It is also a ubiquitous factor in the description and elucidation of problems in mathematical physics. In the meantime real quaternion analysis has become a well established branch in mathematics and has been greatly successful in many different directions. This book is based on concrete examples and exercises rather than general theorems, thus making it suitable for an introductory one- or two-semester undergraduate course on some of the major aspects of real quaternion analysis in exercises. Alternatively, it may be used for beginning graduate level courses and as a reference work. With exercises at the end of each chapter and its straightforward writing style the book addresses readers who have no prior knowledge on this subject but have a basic background in graduate mathematics courses, such as real and complex analysis, ordinary differential equations, partial differential equations, and theory of distributions.



Real Quaternionic Calculus Handbook


Real Quaternionic Calculus Handbook
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Author : Qing Jun Hou
language : en
Publisher:
Release Date : 2016-08-01

Real Quaternionic Calculus Handbook written by Qing Jun Hou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-01 with categories.


A quaternion is a four-element vector that can be used to encode any rotation in a 3D coordinate system. Technically, a quaternion is composed of one real element and three complex elements, and it can be used for much more than rotations. Quaternions provide an alternative measurement technique that does not suffer from gimbal lock. Quaternions are less intuitive than Euler Angles and the math can be a little more complicated. Quaternions find uses in both theoretical and applied mathematics, in particular for calculations involving threedimensional rotations such as in three-dimensional computer graphics, computer vision and crystallographic texture analysis. In practical applications, they can be used alongside other methods, such as Euler angles and rotation matrices, or as an alternative to them, depending on the application. In modern mathematical language, quaternions form a four-dimensional associative normed division algebra over the real numbers, and therefore also a domain. Real Quaternionic Calculus Handbook is a comprehensive guide aims to describe phenomena in special relativity, electrodynamics, spin etc., it has developed into a body of material that relates with many branches of mathematics, such as complex analysis, harmonic analysis, differential geometry, and differential equations.



Towards Intelligent Systems Modeling And Simulation


Towards Intelligent Systems Modeling And Simulation
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Author : Samsul Ariffin Abdul Karim
language : en
Publisher: Springer Nature
Release Date : 2021-09-17

Towards Intelligent Systems Modeling And Simulation written by Samsul Ariffin Abdul Karim and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-17 with Technology & Engineering categories.


This book creates the emergence of disruptive technologies that have led to a significant change in the role of mathematics and statistics for problem solving, with the use of sophisticated software and hardware in solving complex systems and process. In the era of digital technology, mathematics and statistics need to be highly relevant to be able to cater for the needs of IR4.0 such as big data analytics, simulation, autonomous system, and cloud computing. Motivated by this development, a total of 26 chapters are contributed by respectable experts for this book. The main scope of the book is to conduct a new system of modeling and simulations on solving differential equations, nonlinear equations, energy, epidemiology, and risk assessment. This book is of interest for postgraduate students, researchers as well as other scientists who are working in numerical modeling and simulations based on efficient mathematical and statistical techniques.



Topics In Clifford Analysis


Topics In Clifford Analysis
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Author : Swanhild Bernstein
language : en
Publisher: Springer Nature
Release Date : 2019-10-15

Topics In Clifford Analysis written by Swanhild Bernstein and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-15 with Mathematics categories.


Quaternionic and Clifford analysis are an extension of complex analysis into higher dimensions. The unique starting point of Wolfgang Sprößig’s work was the application of quaternionic analysis to elliptic differential equations and boundary value problems. Over the years, Clifford analysis has become a broad-based theory with a variety of applications both inside and outside of mathematics, such as higher-dimensional function theory, algebraic structures, generalized polynomials, applications of elliptic boundary value problems, wavelets, image processing, numerical and discrete analysis. The aim of this volume is to provide an essential overview of modern topics in Clifford analysis, presented by specialists in the field, and to honor the valued contributions to Clifford analysis made by Wolfgang Sprößig throughout his career.



Progress In Pattern Recognition Image Analysis Computer Vision And Applications


Progress In Pattern Recognition Image Analysis Computer Vision And Applications
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Author : Ruben Vera-Rodriguez
language : en
Publisher: Springer
Release Date : 2019-03-02

Progress In Pattern Recognition Image Analysis Computer Vision And Applications written by Ruben Vera-Rodriguez and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-02 with Computers categories.


This book constitutes the refereed post-conference proceedings of the 23rd Iberoamerican Congress on Pattern Recognition, CIARP 2018, held in Madrid, Spain, in November 2018 The 112 papers presented were carefully reviewed and selected from 187 submissions The program was comprised of 6 oral sessions on the following topics: machine learning, computer vision, classification, biometrics and medical applications, and brain signals, and also on: text and character analysis, human interaction, and sentiment analysis



Progress In Pattern Recognition Image Analysis Computer Vision And Applications


Progress In Pattern Recognition Image Analysis Computer Vision And Applications
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Author : Marcelo Mendoza
language : en
Publisher: Springer
Release Date : 2018-02-09

Progress In Pattern Recognition Image Analysis Computer Vision And Applications written by Marcelo Mendoza and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-09 with Computers categories.


This book constitutes the refereed post-conference proceedings of the 22nd Iberoamerican Congress on Pattern Recognition, CIARP 2017, held in Valparaíso, Chile, in November 2017. The 87 papers presented were carefully reviewed and selected from 156 submissions. The papers feature research results in the areas of pattern recognition, image processing, computer vision, multimedia and related fields.



A Mathematical Perspective On Flight Dynamics And Control


A Mathematical Perspective On Flight Dynamics And Control
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Author : Andrea L'Afflitto
language : en
Publisher: Springer
Release Date : 2017-01-30

A Mathematical Perspective On Flight Dynamics And Control written by Andrea L'Afflitto and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-30 with Technology & Engineering categories.


This brief presents several aspects of flight dynamics, which are usually omitted or briefly mentioned in textbooks, in a concise, self-contained, and rigorous manner. The kinematic and dynamic equations of an aircraft are derived starting from the notion of the derivative of a vector and then thoroughly analysed, interpreting their deep meaning from a mathematical standpoint and without relying on physical intuition. Moreover, some classic and advanced control design techniques are presented and illustrated with meaningful examples. Distinguishing features that characterize this brief include a definition of angular velocity, which leaves no room for ambiguities, an improvement on traditional definitions based on infinitesimal variations. Quaternion algebra, Euler parameters, and their role in capturing the dynamics of an aircraft are discussed in great detail. After having analyzed the longitudinal- and lateral-directional modes of an aircraft, the linear-quadratic regulator, the linear-quadratic Gaussian regulator, a state-feedback H-infinity optimal control scheme, and model reference adaptive control law are applied to aircraft control problems. To complete the brief, an appendix provides a compendium of the mathematical tools needed to comprehend the material presented in this brief and presents several advanced topics, such as the notion of semistability, the Smith–McMillan form of a transfer function, and the differentiation of complex functions: advanced control-theoretic ideas helpful in the analysis presented in the body of the brief. A Mathematical Perspective on Flight Dynamics and Control will give researchers and graduate students in aerospace control an alternative, mathematically rigorous means of approaching their subject.



Advances In Sensors Reviews Vol 5


Advances In Sensors Reviews Vol 5
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Author : Sergey Yurish
language : en
Publisher: Lulu.com
Release Date : 2018-09

Advances In Sensors Reviews Vol 5 written by Sergey Yurish and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09 with Technology & Engineering categories.


The Vol. 5 of this Book Series contains 22 chapters written by 79 contributors-experts from universities, research centres and industry from 15 countries: Australia, Canada, China, France, Germany, Italy, Malaysia, Mexico, Poland, Portugal, Russia, Slovenia, Spain, Ukraine and USA. This volume contains information at the cutting edge of sensor research and related topics from the following three areas: Physical Sensors, Sensor Networks and Remote Sensing. Coverage includes current developments in various sensors, sensor instrumentation and applications. In order to offer a fast and easy reading of each topic, every chapter in this volume is independent and self-contained.With the unique combination of information in this volume, the 'Advances in Sensors: Reviews' Book Series will be of value for scientists and engineers in industry and at universities, to sensors developers, distributors, and end users.



Optoelectronic Devices In Robotic Systems


Optoelectronic Devices In Robotic Systems
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Author : Oleg Sergiyenko
language : en
Publisher: Springer Nature
Release Date : 2022-10-29

Optoelectronic Devices In Robotic Systems written by Oleg Sergiyenko and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-29 with Technology & Engineering categories.


This book provides a wide scope of contributions related to optoelectronic device application in a variety of robotic systems for diverse purposes. The contributions are focused on optoelectronic sensors and analyzing systems, 3D and 2D machine vision technologies, robot navigation, pose estimations, robot operation in cyclic procedures, control schemes, motion controllers, and intelligent algorithms and vision systems. Applications of these technologies are outlined for unmanned aerial vehicles, autonomous and mobile robots, industrial inspection applications, cultural heritage documentation, and structural health monitoring. Also discussed are recent advanced research in measurement and others areas where 3D and 2D machine vision and machine control play an important role. Surveys and reviews about optoelectronic and vision-based applications are also included. These topics are of interest to readers from a diverse group including those working in optoelectronics, and electrical, electronic and computer engineering.