Volume 27, Issue 1

Search all Advances in Applied Clifford Algebras articles

March 2017

Special Issue: The 10th Conference on Clifford Algebras and their Applications in Mathematical Physics (Pages: 1–344 ) ; Special Issue: Proceedings of the AGACSE 2015 Conference (Pages: 345–891 )

Issue Editors:

Viktor Abramov,
Olga Liivapuu,
Priit Lätt,
Sebastià Xambó-Descamps,
Josep M. Parra-Serra

54 articles in this issue

Preface
Viktor Abramov
Olga Liivapuu
Priit Lätt
EditorialNotes 01 March 2017 Pages: 1 - 7
Super 3-Lie Algebras Induced by Super Lie Algebras
Viktor Abramov
OriginalPaper 10 October 2015 Pages: 9 - 16
Clifford Algebra is the Natural Framework for Root Systems and Coxeter Groups. Group Theory: Coxeter, Conformal and Modular Groups
Pierre-Philippe Dechant
OriginalPaper 22 July 2015 Pages: 17 - 31
Conformal Groups and Vahlen Matrices
Jacques Helmstetter
OriginalPaper 15 May 2015 Pages: 33 - 44
Generalized Zeon Algebras: Theory and Application to Multi-Constrained Path Problems
René Schott
G. Stacey Staples
OriginalPaper 30 August 2015 Pages: 45 - 57
Noncommutative Galois Extensions and Ternary Clifford Analysis
Alexandre Trovon
Osamu Suzuki
OriginalPaper 22 May 2015 Pages: 59 - 70
Three-Term Recurrence Relations for Systems of Clifford Algebra-Valued Orthogonal Polynomials
I. Cação
M. I. Falcão
H. R. Malonek
OriginalPaper 08 September 2015 Pages: 71 - 85
Hilbert Boundary Value Problems with Fermionic Weight in \({\mathbb{R}^{3}}\)
P. Cerejeiras
U. Kähler
M. Ku
OriginalPaper 20 May 2016 Pages: 87 - 98
General Integral Formulas for k-hyper-mono-genic Functions
Sirkka-Liisa Eriksson
Heikki Orelma
OriginalPaper 22 December 2015 Pages: 99 - 110
Two-Sided Hypergenic Functions
Sirkka-Liisa Eriksson
Heikki Orelma
Nelson Vieira
OriginalPaper 12 September 2015 Pages: 111 - 123
Overconvergence of Chebyshev and Legendre Expansions in Quaternionic Ellipsoids
Sorin G. Gal
Irene Sabadini
OriginalPaper 13 May 2015 Pages: 125 - 133
First Order Differential Operators Associated to the Space of q-Monogenic Functions
Eusebio Ariza García
Antonio Di Teodoro
Judith Vanegas
OriginalPaper 24 July 2015 Pages: 135 - 147
Method of Averaging in Clifford Algebras
D. S. Shirokov
OriginalPaper 15 December 2015 Pages: 149 - 163
A Few Comments on Conformal Spin Structures and Conformal U(1)-Spin Structures on a Pseudo-Riemannian 2r-Dimensional Manifold V
Pierre Anglès
OriginalPaper 27 February 2016 Pages: 165 - 183
Geometric Algebras for Euclidean Geometry
Charles Gunn
OriginalPaper 26 February 2016 Pages: 185 - 208
Concept of Lie Derivative of Spinor Fields A Geometric Motivated Approach
Rafael F. Leão
Waldyr Alves Rodrigues Jr.
Samuel A. Wainer
OriginalPaper 19 May 2015 Pages: 209 - 227
Erratum to: Concept of Lie Derivative of Spinor Fields A Geometric Motivated Approach
Rafael F. Leão
Waldyr Alves Rodrigues Jr.
Samuel A. Wainer
Erratum 29 December 2015 Pages: 229 - 230
Using the Symmetries of the Cube and Tetrahedron as a Vehicle for Introducing Some Clifford Algebra to High School Students and Undergraduate College Students
John Snygg
OriginalPaper 16 September 2015 Pages: 231 - 239
Calculation of Quantum Eigens with Geometrical Algebra Rotors
A. Dargys
A. Acus
OriginalPaper 23 April 2015 Pages: 241 - 253
On Some Novel Consequences of Clifford Space Relativity Theory
Carlos Castro
OriginalPaper 09 May 2015 Pages: 255 - 266
Could Elko Spinor Fields Induce VSR Symmetry in the DKP (Meson) Algebra?
R. T. Cavalcanti
R. da Rocha
J. M. Hoff da Silva
OriginalPaper 07 June 2015 Pages: 267 - 277
Gauge Group of the Standard Model in Cl _1,5
Claude Daviau
OriginalPaper Open access 20 May 2015 Pages: 279 - 290
Translational and Rotational Properties of Tensor Fields in Relativistic Quantum Mechanics
V. V. Dvoeglazov
OriginalPaper 24 April 2015 Pages: 291 - 302
Nonassociative Generalization of Supersymmetry
Vladimir Dzhunushaliev
OriginalPaper 21 July 2015 Pages: 303 - 310
Clifford to Unify General Relativity and Electromagnetism
Thierry Socroun
OriginalPaper 08 May 2015 Pages: 311 - 319
Some Remarks Concerning Invariant Quantities in Scalar-tensor Gravity
Ott Vilson
OriginalPaper 26 May 2015 Pages: 321 - 332
From Clifford Algebra of Nonrelativistic Phase Space to Quarks and Leptons of the Standard Model
Piotr Żenczykowski
OriginalPaper Open access 29 May 2015 Pages: 333 - 344
Preface
Sebastià Xambó-Descamps
Josep M. Parra-Serra
EditorialNotes 01 March 2017 Pages: 345 - 349
The Genesis of Geometric Algebra: A Personal Retrospective
David Hestenes
OriginalPaper Open access 11 April 2016 Pages: 351 - 379
General two-sided quaternion Fourier transform, convolution and Mustard convolution
Eckhard Hitzer
OriginalPaper 12 May 2016 Pages: 381 - 395
The E ₈ Geometry from a Clifford Perspective
Pierre-Philippe Dechant
OriginalPaper Open access 28 April 2016 Pages: 397 - 421
Coordinate Free Integrals in Geometric Calculus
Timo Alho
OriginalPaper 24 March 2016 Pages: 423 - 437
Geometric Algebra to Model Uncertainties in the Discretizable Molecular Distance Geometry Problem
Rafael Alves
Carlile Lavor
OriginalPaper 21 March 2016 Pages: 439 - 452
Composing Surfaces with Conformal Rotors
Pablo Colapinto
OriginalPaper 04 May 2016 Pages: 453 - 474
Matrices of SL\({(4, \mathbb{R})}\) that are the Product of Two Skew-Symmetric Matrices
Lei Dong
Lei Huang
Yong Wen
OriginalPaper 29 June 2016 Pages: 475 - 489
Unifying Theory of Pythagorean-Normal Surfaces Based on Geometric Algebra
Rimvydas Krasauskas
OriginalPaper 01 June 2016 Pages: 491 - 502
Geometric Calculus of the Gauss Map
Peter Lewintan
OriginalPaper 05 October 2016 Pages: 503 - 521
On Cayley’s Factorization of 4D Rotations and Applications
Alba Perez-Gracia
Federico Thomas
OriginalPaper 14 May 2016 Pages: 523 - 538
Clifford Multivector Toolbox (for MATLAB)
Stephen J. Sangwine
Eckhard Hitzer
OriginalPaper 19 April 2016 Pages: 539 - 558
Embedded Coprocessors for Native Execution of Geometric Algebra Operations
Silvia Franchini
Antonio Gentile
Salvatore Vitabile
OriginalPaper 09 April 2016 Pages: 559 - 580
Inverse Kinematics for a 6-DOF Walking Humanoid Robot Leg
L. Campos-Macías
O. Carbajal-Espinosa
E. Bayro-Corrochano
OriginalPaper 13 July 2016 Pages: 581 - 597
Geometric Algebra Computing for Heterogeneous Systems
D. Hildenbrand
J. Albert
Chr. Steinmetz
OriginalPaper 10 June 2016 Pages: 599 - 620
CGA-based robotic snake control
Jaroslav Hrdina
Aleš Návrat
R. Matoušek
OriginalPaper 09 June 2016 Pages: 621 - 632
Geometric Control of the Trident Snake Robot Based on CGA
J. Hrdina
A. Návrat
R. Matoušek
OriginalPaper 11 June 2016 Pages: 633 - 645
Parallel Clifford Support Vector Machines Using the Gaussian Kernel
Gehová López-González
Nancy Arana-Daniel
Eduardo Bayro-Corrochano
OriginalPaper 26 October 2016 Pages: 647 - 660
Sparse Representations of Clifford and Tensor Algebras in Maxima
D. Prodanov
V. T. Toth
OriginalPaper 17 May 2016 Pages: 661 - 683
FPGA Implementation of a Geometric Voting Scheme for the Extraction of Geometric Entities from Images
Gerardo Soria-García
Gerardo Altamirano-Gómez
Eduardo Bayro-Corrochano
OriginalPaper 21 July 2016 Pages: 685 - 705
Automatic Multivector Differentiation and Optimization
Lars Tingelstad
Olav Egeland
OriginalPaper Open access 27 September 2016 Pages: 707 - 731
Geometric Algebra as a Unifying Language for Physics and Engineering and Its Use in the Study of Gravity
Anthony N. Lasenby
OriginalPaper Open access 20 July 2016 Pages: 733 - 759
Application of Geometric Algebra to the Electroweak Sector of the Standard Model of Particle Physics
Gene E. McClellan
OriginalPaper 13 May 2016 Pages: 761 - 786

Volume 27, Issue 1

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