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Quaternions: Theory and Applications

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Title: Quaternions: Theory and Applications
Description: This book focuses on the theory and applications of quaternions. Chapter One collects some old problems on lattice orders and directed partial orders on complex numbers and quaternions, and summarizes recent development in answering those questions. Chapter Two discusses spin 1 particles with anomalous magnetic moments in the external uniform electric field. Chapter Three examines techniques of projective operators used to construct solutions for a spin 1 particle with anomalous magnetic moment in the external uniform magnetic field. Chapter Four analyzes the implementation of a cheap Micro AHRS (Attitude and Heading Reference System) using low-cost inertial sensors. Chapter Five reviews the basic concepts of quaternion and reduced biquaternions algebra. It introduces the 2D Hermite-Gaussian functions (2D-HGF) as the eigenfunction of discrete quaternion Fourier transform (DQFT) and discrete reduced biquaternion Fourier transform (DRBQFT), and the eigenvalues of two dimensional Hermite-Gaussian functions for three types of DQFT and two types of DRBQFT. Chapter Six investigates a leader-follower formation control problem of quadrotors. Chapter Seven considers determinantal representations the Drazin and weighted Drazin inverses over the quaternion skew field.
Authors: Griffin, Sandra
Resource Type: eBook.
Subjects: Numbers, Complex, Quaternions
Categories: MATHEMATICS / Algebra / Intermediate
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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  Availability: 0
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DbLabel: eBook Collection (EBSCOhost)
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RelevancyScore: 1077
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PubType: eBook
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  Data: Quaternions: Theory and Applications
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  Data: This book focuses on the theory and applications of quaternions. Chapter One collects some old problems on lattice orders and directed partial orders on complex numbers and quaternions, and summarizes recent development in answering those questions. Chapter Two discusses spin 1 particles with anomalous magnetic moments in the external uniform electric field. Chapter Three examines techniques of projective operators used to construct solutions for a spin 1 particle with anomalous magnetic moment in the external uniform magnetic field. Chapter Four analyzes the implementation of a cheap Micro AHRS (Attitude and Heading Reference System) using low-cost inertial sensors. Chapter Five reviews the basic concepts of quaternion and reduced biquaternions algebra. It introduces the 2D Hermite-Gaussian functions (2D-HGF) as the eigenfunction of discrete quaternion Fourier transform (DQFT) and discrete reduced biquaternion Fourier transform (DRBQFT), and the eigenvalues of two dimensional Hermite-Gaussian functions for three types of DQFT and two types of DRBQFT. Chapter Six investigates a leader-follower formation control problem of quadrotors. Chapter Seven considers determinantal representations the Drazin and weighted Drazin inverses over the quaternion skew field.
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    Classifications:
      – Code: 512.5
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Numbers, Complex
        Type: general
      – SubjectFull: Quaternions
        Type: general
    Titles:
      – TitleFull: Quaternions: Theory and Applications
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Griffin, Sandra
      – PersonEntity:
          Name:
            NameFull: Griffin, Sandra
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2017
            – D: 10
              M: 02
              Type: profile
              Y: 2017
          Identifiers:
            – Type: isbn-print
              Value: 9781536107685
            – Type: isbn-electronic
              Value: 9781536107890
          Titles:
            – TitleFull: Quaternions: Theory and Applications
              Type: main
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