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Applications of Geometric Algebra in Computer Science and Engineering

Overview of attention for book
Cover of 'Applications of Geometric Algebra in Computer Science and Engineering'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Point Groups and Space Groups in Geometric Algebra
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    Chapter 2 The Inner Products of Geometric Algebra
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    Chapter 3 Unification of Grassmann’s Progressive and Regressive Products using the Principle of Duality
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    Chapter 4 From Unoriented Subspaces to Blade Operators
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    Chapter 5 Automated Theorem Proving in the Homogeneous Model with Clifford Bracket Algebra
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    Chapter 6 Rotations in n Dimensions as Spherical Vectors
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    Chapter 7 Geometric and Algebraic Canonical Forms
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    Chapter 8 Functions of Clifford Numbers or Square Matrices
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    Chapter 9 Compound Matrices and Pfaffians: A Representation of Geometric Algebra
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    Chapter 10 Analysis Using Abstract Vector Variables
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    Chapter 11 A Multivector Data Structure for Differential Forms and Equations
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    Chapter 12 Jet Bundles and the Formal Theory of Partial Differential Equations
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    Chapter 13 Imaginary eigenvalues and complex eigenvectors explained by real geometry
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    Chapter 14 Symbolic Processing of Clifford Numbers in C++
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    Chapter 15 Clifford Numbers and their Inverses Calculated using the Matrix Representation
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    Chapter 16 A Toy Vector Field Based on Geometric Algebra
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    Chapter 17 Quadratic Transformations in the Projective Plane
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    Chapter 18 Annihilators of Principal Ideals in the Grassmann Algebra
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    Chapter 19 Homogeneous Rigid Body Mechanics with Elastic Coupling
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    Chapter 20 Analysis of One and Two Particle Quantum Systems using Geometric Algebra
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    Chapter 21 Interaction and Entanglement in the Multiparticle Spacetime Algebra
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    Chapter 22 Laws of Reflection from Two or More Plane Mirrors in Succession
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    Chapter 23 Exact Kinetic Energy Operators for Polyatomic Molecules
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    Chapter 24 Geometry of Quantum Computing by Hamiltonian Dynamics of Spin Ensembles
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    Chapter 25 Is the Brain a ‘Clifford Algebra Quantum Computer’?
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    Chapter 26 A Hestenes Spacetime Algebra Approach to Light Polarization
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    Chapter 27 Quaternions, Clifford Algebra and Symmetry Groups
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    Chapter 28 A Generic Framework for Image Geometry
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    Chapter 29 Color Edge Detection Using Rotors
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    Chapter 30 Numerical Evaluation of Versors with Clifford Algebra
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    Chapter 31 The Role of Clifford Algebra in Structure-Preserving Transformations for Second-Order Systems
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    Chapter 32 Applications of Algebra of Incidence in Visually Guided Robotics
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    Chapter 33 Monocular Pose Estimation of Kinematic Chains
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    Chapter 34 Stabilization of 3D Pose Estimation
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    Chapter 35 Inferring Dynamical Information from 3D Position Data using Geometric Algebra
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    Chapter 36 Clifford Algebra Space Singularities of Inline Planar Platforms
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    Chapter 37 Fast Quantum Fourier-Heisenberg-Weyl Transforms
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    Chapter 38 The Structure Multivector
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    Chapter 39 The Application of Clifford Algebra to Calculations of Multicomponent Chemical Composition
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    Chapter 40 An Algorithm to Solve the Inverse IFS-Problem
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    Chapter 41 Fast Quantum n -D Fourier and Radon Transforms
Attention for Chapter 13: Imaginary eigenvalues and complex eigenvectors explained by real geometry
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Chapter title
Imaginary eigenvalues and complex eigenvectors explained by real geometry
Chapter number 13
Book title
Applications of Geometric Algebra in Computer Science and Engineering
Published in
arXiv, June 2013
DOI 10.1007/978-1-4612-0089-5_13
Book ISBNs
978-1-4612-6606-8, 978-1-4612-0089-5
Authors

Eckhard M. S. Hitzer, Hitzer, Eckhard M. S.

X Demographics

X Demographics

The data shown below were collected from the profile of 1 X user who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 4 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
China 1 25%
Unknown 3 75%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 1 25%
Student > Bachelor 1 25%
Researcher 1 25%
Student > Master 1 25%
Readers by discipline Count As %
Computer Science 2 50%
Biochemistry, Genetics and Molecular Biology 1 25%
Mathematics 1 25%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 05 June 2013.
All research outputs
#18,340,012
of 22,711,645 outputs
Outputs from arXiv
#531,804
of 930,882 outputs
Outputs of similar age
#148,392
of 197,511 outputs
Outputs of similar age from arXiv
#2,613
of 7,997 outputs
Altmetric has tracked 22,711,645 research outputs across all sources so far. This one is in the 11th percentile – i.e., 11% of other outputs scored the same or lower than it.
So far Altmetric has tracked 930,882 research outputs from this source. They receive a mean Attention Score of 3.9. This one is in the 28th percentile – i.e., 28% of its peers scored the same or lower than it.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 197,511 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 12th percentile – i.e., 12% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 7,997 others from the same source and published within six weeks on either side of this one. This one is in the 44th percentile – i.e., 44% of its contemporaries scored the same or lower than it.