Academic literature on the topic 'Quaternions algebra'
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Journal articles on the topic "Quaternions algebra"
ATA, Erhan, and Ümit Ziya SAVCI. "Generalized Quaternions and Matrix Algebra." Afyon Kocatepe University Journal of Sciences and Engineering 23, no. 3 (2023): 638–47. http://dx.doi.org/10.35414/akufemubid.1182145.
Full textABRATE, MARCO. "QUADRATIC FORMULAS FOR GENERALIZED QUATERNIONS." Journal of Algebra and Its Applications 08, no. 03 (2009): 289–306. http://dx.doi.org/10.1142/s0219498809003308.
Full textJiang, Tongsong, Dong Zhang, Zhenwei Guo, Gang Wang, and V. I. Vasil’ev. "Algebraic Techniques for Canonical Forms and Applications in Split Quaternionic Mechanics." Journal of Mathematics 2023 (November 7, 2023): 1–13. http://dx.doi.org/10.1155/2023/4599585.
Full textColombaro, Ivano. "Exterior-algebraic formulation of quaternions with applications." Journal of Physics: Conference Series 3027, no. 1 (2025): 012020. https://doi.org/10.1088/1742-6596/3027/1/012020.
Full textDargys, Adolfas, and Artūras Acus. "Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras." Nonlinear Analysis: Modelling and Control 27, no. 6 (2022): 1129–49. http://dx.doi.org/10.15388/namc.2022.27.29528.
Full textDai, Songsong. "Quaternionic Fuzzy Sets." Axioms 12, no. 5 (2023): 490. http://dx.doi.org/10.3390/axioms12050490.
Full textCao, Wensheng. "Quadratic Equation in Split Quaternions." Axioms 11, no. 5 (2022): 188. http://dx.doi.org/10.3390/axioms11050188.
Full textEri̇şi̇r, Tülay, Gökhan Mumcu, Sezai̇ Kiziltuğ, and Funda Akar. "A New Construction of Rectifying Direction Curves for Quaternionic Space Q." WSEAS TRANSACTIONS ON MATHEMATICS 24 (March 14, 2025): 114–25. https://doi.org/10.37394/23206.2025.24.13.
Full textEri̇şi̇r, Tülay, and Mehmet Ali̇ Güngör. "On Fibonacci spinors." International Journal of Geometric Methods in Modern Physics 17, no. 04 (2020): 2050065. http://dx.doi.org/10.1142/s0219887820500656.
Full textPogorui, Anatoliy, and Tamila Kolomiiets. "Some algebraic properties of complex Segre quaternoins." Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine 33 (December 27, 2019): 158–59. http://dx.doi.org/10.37069/1683-4720-2019-33-13.
Full textDissertations / Theses on the topic "Quaternions algebra"
GÜNAŞTI, Gökmen. "Quaternions Algebra, Their applications in Rotations and Beyond Quaternions." Thesis, Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-20267.
Full textLopes, Wilder Bezerra. "Geometric-algebra adaptive filters." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/3/3142/tde-22092016-143525/.
Full textRodríguez, Ordóñez Hugo. "Topological study of nonsingular bilinear maps /." view abstract or download file of text, 2006. http://proquest.umi.com/pqdweb?did=1251841791&sid=5&Fmt=2&clientId=11238&RQT=309&VName=PQD.
Full textSilva, Julio César Conegundes da 1986. "G2 e as álgebras normadas." [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305803.
Full textFloderová, Hana. "Geometrické struktury založené na kvaternionech." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2010. http://www.nusl.cz/ntk/nusl-229021.
Full textFreitas, José Roberto. "Equações algébricas nos quatérnios de Hamilton." Universidade Tecnológica Federal do Paraná, 2013. http://repositorio.utfpr.edu.br/jspui/handle/1/594.
Full textResende, Adriana Souza. "Introdução elementar às álgebras Clifford 'CL IND.2' 'CL IND. 3'." [s.n.], 2010. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306698.
Full textVieira, Vandenberg Lopes. "Grupos fuchsianos aritmeticos identificados em ordens dos quaternios para construção de constelações de sinais." [s.n.], 2007. http://repositorio.unicamp.br/jspui/handle/REPOSIP/261079.
Full textParcollet, Titouan. "Quaternion neural networks A survey of quaternion neural networks - Chapter 2 Real to H-space Autoencoders for Theme Identification in Telephone Conversations - Chapter 7." Thesis, Avignon, 2019. http://www.theses.fr/2019AVIG0233.
Full textLesesvre, Didier. "Arithmetic Statistics for Quaternion Algebras." Thesis, Sorbonne Paris Cité, 2018. http://www.theses.fr/2018USPCD040.
Full textBooks on the topic "Quaternions algebra"
P, Ward J. Quaternions and Cayley numbers: Algebra and applications. Kluwer Academic Publishers, 1997.
Find full textWard, J. P. Quaternions and Cayley Numbers: Algebra and Applications. Springer Netherlands, 1997.
Find full textConway, John Horton. On quaternions and octonions: Their geometry, arithmetic, and symmetry. AK Peters, 2003.
Find full textChuang, Chih-Yun. Brandt matrices and theta series over global function fields. American Mathematical Society, 2015.
Find full textBehrns, Vernon N. An introduction to the algebra of hypernumbers. Dorrance Publishing Co., 2007.
Find full textPaşa, Hüseyin Tevfik. Hüseyin Tevfik Paşa ve "Linear algebra". İstanbul Teknik Üniversitesi Bilim ve Teknoloji Tarihi Araştırma Merkezi, 1988.
Find full textDixon, Geoffrey M. Division algebras: Octonions, quaternions, complex numbers, and the algebraic design of physics. Kluwer Academic Publishers, 1994.
Find full textVoight, John. Quaternion Algebras. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-56694-4.
Full textWolfgang, Sprössig, Gürlebeck Klaus, and Volkswagenstiftung, eds. Proceedings of the symposium: Analytical and numerical methods in quaternionic and Clifford analysis : Seiffen 1996. s.n., 1996.
Find full textFragoulopoulou, Maria. Tensor products of enveloping locally C*-algebras. Mathematisches Institut der Universität Münster, 1997.
Find full textBook chapters on the topic "Quaternions algebra"
Gorodentsev, Alexey L. "Quaternions and Spinors." In Algebra I. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45285-2_20.
Full textGoldman, Ron. "The Algebra of Quaternion Multiplication." In Rethinking Quaternions. Springer International Publishing, 2010. http://dx.doi.org/10.1007/978-3-031-79549-7_4.
Full textGoldman, Ron. "Summary—Formulas From Quaternion Algebra." In Rethinking Quaternions. Springer International Publishing, 2010. http://dx.doi.org/10.1007/978-3-031-79549-7_10.
Full textVince, John. "Quaternion Algebra." In Quaternions for Computer Graphics. Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-760-0_5.
Full textVince, John. "Quaternion Algebra." In Quaternions for Computer Graphics. Springer London, 2021. http://dx.doi.org/10.1007/978-1-4471-7509-4_6.
Full textKantor, I. L., and A. S. Solodovnikov. "Quaternions and Vector Algebra." In Hypercomplex Numbers. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3650-4_4.
Full textGoldman, Ronald. "Algebra." In Dual Quaternions and Their Associated Clifford Algebras. CRC Press, 2023. http://dx.doi.org/10.1201/9781003398141-3.
Full textVince, John. "Number Sets and Algebra." In Quaternions for Computer Graphics. Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-760-0_2.
Full textWard, J. P. "Fundamentals of Linear Algebra." In Quaternions and Cayley Numbers. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5768-1_1.
Full textKamberov, George, Peter Norman, Franz Pedit, and Ulrich Pinkall. "Chapter 3. Spinor Algebra." In Quaternions, Spinors, and Surfaces. American Mathematical Society, 2002. http://dx.doi.org/10.1090/conm/299/03.
Full textConference papers on the topic "Quaternions algebra"
Purwar, Anurag, and Q. J. Ge. "Polar Decomposition of Unit Dual Quaternions." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70882.
Full textTerze, Zdravko, Andreas Mueller, and Dario Zlatar. "Redundancy-Free Integration of Rotational Quaternions in Minimal Form." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-35118.
Full textCondurache, Daniel. "Dual Lie Algebra Representations of Rigid Body Motion With Dual Cayley Maps: An Overview." In ASME 2024 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2024. http://dx.doi.org/10.1115/detc2024-143707.
Full textGe, Q. J. "On the Matrix Algebra Realization of the Theory of Biquaternions." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0221.
Full textYu, Zihan, Qiaode Jeffrey Ge, and Mark P. Langer. "Construction of Confidence Regions for Uncertain Spatial Displacements With Dual Rodrigues Parameters." In ASME 2024 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2024. http://dx.doi.org/10.1115/detc2024-143410.
Full textAgrawal, O. P. "Quaternions, Hamilton Operators, and Kinematics of Mechanical Systems." In ASME 1987 Design Technology Conferences. American Society of Mechanical Engineers, 1987. http://dx.doi.org/10.1115/detc1987-0095.
Full textBenger, Werner. "Illustrating Geometric Algebra and Differential Geometry in 5D Color Space." In WSCG 2023 – 31. International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision. University of West Bohemia, Czech Republic, 2023. http://dx.doi.org/10.24132/csrn.3301.1.
Full textSaldias, Daniel P., Luiz A. Radavelli, Carlos R. M. Roesler, and Daniel Martins. "Kinematic synthesis of the passive human knee joint by differential evolution and quaternions algebra: A preliminary study." In 2014 5th IEEE RAS & EMBS International Conference on Biomedical Robotics and Biomechatronics (BioRob). IEEE, 2014. http://dx.doi.org/10.1109/biorob.2014.6913759.
Full textNelson, Donald D., and Elaine Cohen. "User Interaction With CAD Models With Nonholonomic Parametric Surface Constraints." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-0260.
Full textMüller, Andreas, Zdravko Terze, and Viktor Pandza. "A Non-Redundant Formulation for the Dynamics Simulation of Multibody Systems in Terms of Unit Dual Quaternions." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-60191.
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