John Voight: Quaternion Algebras


Note: Communicated by Nek Valous, National Center for Tumor Diseases (NCT), Heidelberg.

Title: Quaternion Algebras (© 2021)
Author: John Voight
DOI: 10.1007/978-3-030-56694-4
Link: https://doi.org/10.1007/978-3-030-56694-4

Description: This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras
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Kobayashi: Storage Capacity of Quaternion-Valued Hopfield Neural Networks With Dual Connections


Masaki Kobayashi; Storage Capacity of Quaternion-Valued Hopfield Neural Networks With Dual Connections. Neural Comput 2021; 33 (8): 2226–2240. doi: https://doi.org/10.1162/neco_a_01405, Open Access: https://direct.mit.edu/neco/article/33/8/2226/101864/Storage-Capacity-of-Quaternion-Valued-Hopfield

Abstract: A complex-valued Hopfield neural network (CHNN) is a multistate Hopfield model. A quaternion-valued Hopfield neural network Continue reading

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Li et al.: Two-sided fractional quaternion Fourier transform and its application


Li, Z., Shi, H. & Qiao, Y. Two-sided fractional quaternion Fourier transform and its application. J Inequal Appl 2021, 121 (2021). https://doi.org/10.1186/s13660-021-02654-3, Open Access: https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-021-02654-3

Abstract: In this paper, we introduce the two-sided fractional quaternion Fourier transform (FrQFT) Continue reading

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AGACSE 2021 abstract submission deadline: 15 Aug. 2021!


We would like to recall that the Abstract submission deadline of the contributions to the 8th Conference on Applied Geometric Algebras in Computer Science and Engineering (AGACSE 2021), http://agacse2021.fme.vutbr.cz/main.php is approaching, the submission will close on 15th August. Continue reading

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INTERNATIONAL CONFERENCE OF ADVANCED COMPUTATIONAL APPLICATIONS OF GEOMETRIC ALGEBRA, October 2-5, 2022, Sheraton Hotel | Denver, CO, USA


INTERNATIONAL CONFERENCE OF ADVANCED COMPUTATIONAL APPLICATIONS OF GEOMETRIC ALGEBRA
October 2-5, 2022
Sheraton Hotel | Denver, CO
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ICACGA is an international conference focused on advanced computational applications of (Clifford) Geometric Algebra (GA) Continue reading

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AACA Vol. 31, Issue 3 – ToC Alert


In this issue

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Kamarianakis and Papagiannakis: An All-In-One Geometric Algorithm for Cutting, Tearing, and Drilling Deformable Models


Manos Kamarianakis, George Papagiannakis, An All-In-One Geometric Algorithm for Cutting, Tearing, and Drilling Deformable Models, 25 pages pages, 20 figues, extended version of arXiv:2007.04464v2 , accepted in Advances in Applied Clifford Algebras (AACA), preprint URL: https://arxiv.org/abs/2102.07499

Abstract: Conformal Geometric Algebra (CGA) Continue reading

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clifford: Geometric Algebra for Python packages


clifford is a numerical Geometric Algebra (a.k.a. Clifford algebra) package for python. URL: https://github.com/pygae/clifford
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Loucka and Vasik: On multi-conditioned conic fitting in Geometric algebra for conics


Pavel Loučka, Petr Vašík, On multi-conditioned conic fitting in Geometric algebra for conics, 40 pages, 6 figures, preprint URL: https://arxiv.org/abs/2103.14072

Abstract: We introduce several modifications of conic fitting in Geometric algebra Continue reading

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Derevianko, Vasik: Solver-free optimal control for Linear Dynamical Switched System by means of Geometric Algebra


Anna Derevianko, Petr Vašík, Solver-free optimal control for Linear Dynamical Switched System by means of Geometric Algebra, 21 pages, 10 figures, preprint URL: https://arxiv.org/abs/2103.13803

Abstract: We design an algorithm for control of a linear switched system by means of Geometric Algebra. Continue reading

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