Academic literature on the topic 'Hypercomplex numbers'
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Journal articles on the topic "Hypercomplex numbers"
Quadling, Douglas, I. L. Kantor, A. S. Solodovnikov, and A. Shenitzer. "Hypercomplex Numbers." Mathematical Gazette 74, no. 470 (1990): 399. http://dx.doi.org/10.2307/3618163.
Full textIbrayev, Alpamys T. "Method for Constructing a Commutative Algebra of Hypercomplex Numbers." Symmetry 15, no. 9 (2023): 1652. http://dx.doi.org/10.3390/sym15091652.
Full textGu, Ying-Qiu. "Clifford Algebras, Hypercomplex Numbers and Nonlinear Equations in Physics." Geometry, Integrability and Quantization 25 (2023): 47–72. http://dx.doi.org/10.7546/giq-25-2023-47-72.
Full textChaitin-Chatelin, F., and T. Meškauskas. "Computation with hypercomplex numbers." Nonlinear Analysis: Theory, Methods & Applications 47, no. 5 (2001): 3391–400. http://dx.doi.org/10.1016/s0362-546x(01)00454-0.
Full textGu, Ying-Qiu. "Hypercomplex Numbers and Roots of Algebraic Equation." Journal of Geometry and Symmetry in Physics 64 (2022): 9–22. http://dx.doi.org/10.7546/jgsp-64-2022-9-22.
Full textLabunets, V. G., E. V. Kokh, and E. Ostheimer. "ALGEBRAIC MODELS AND METHODS OF COMPUTER IMAGE PROCESSING. PART 1. MULTIPLET MODELS OF MULTICHANNEL IMAGES." Computer Optics 42, no. 1 (2018): 84–95. http://dx.doi.org/10.18287/2412-6179-2018-42-1-84-95.
Full textDa¸sdemir, A. "On Hadamard Product of Hypercomplex Numbers." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 104, no. 4 (2021): 68–73. http://dx.doi.org/10.31489/2021m4/68-73.
Full textAlpay, Daniel, and Ilwoo Cho. "Operators induced by certain hypercomplex systems." Opuscula Mathematica 43, no. 3 (2023): 275–333. http://dx.doi.org/10.7494/opmath.2023.43.3.275.
Full textKisil, Vladimir V. "Induced Representations and Hypercomplex Numbers." Advances in Applied Clifford Algebras 23, no. 2 (2012): 417–40. http://dx.doi.org/10.1007/s00006-012-0373-1.
Full textCatoni, Francesco, Roberto Cannata, Enrico Nichelatti, and Paolo Zampetti. "Commutative hypercomplex numbers and functions of hypercomplex variable: a matrix study." Advances in Applied Clifford Algebras 15, no. 2 (2005): 183–212. http://dx.doi.org/10.1007/s00006-005-0011-2.
Full textDissertations / Theses on the topic "Hypercomplex numbers"
Bushman, Nathan. "Hypercomplex Numbers and Early Vector Systems: A History." The Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1585666516546138.
Full textХіцко, Яна Володимирівна. "Математичне моделювання задач криптографії та обробки сигналів з використанням неканонічних гіперкомплексних числових систем". Thesis, НТУУ "КПІ", 2016. https://ela.kpi.ua/handle/123456789/15092.
Full textBooks on the topic "Hypercomplex numbers"
Kantor, I. L., and A. S. Solodovnikov. Hypercomplex Numbers. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3650-4.
Full textM, Berezanskiĭ I͡U. Harmonic analysis in hypercomplex systems. Kluwer Academic, 1998.
Find full textKantor, I. L. Hypercomplex numbers: An elementary introduction to algebras. Springer-Verlag, 1989.
Find full textFrancesco, Catoni, ed. The mathematics of Minkowski space-time: With an introduction to commutative hypercomplex numbers. Birkhäuser Verlag, 2008.
Find full textKalyuzhnyi, A. A., and Yu M. Berezansky. Harmonic Analysis in Hypercomplex Systems. Springer, 2014.
Find full textBerezansky, Yu M., and A. A. Kalyuzhnyi. Harmonic Analysis in Hypercomplex Systems. Springer, 2013.
Find full textBerezansky, Yu M., and A. A. Kalyuzhnyi. Harmonic Analysis in Hypercomplex Systems. Yu M Berezansky, 2010.
Find full textBook chapters on the topic "Hypercomplex numbers"
Kantor, I. L., and A. S. Solodovnikov. "Hypercomplex Numbers." In Hypercomplex Numbers. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3650-4_5.
Full textStillwell, John. "Hypercomplex Numbers." In Undergraduate Texts in Mathematics. Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4684-9281-1_20.
Full textStillwell, John. "Hypercomplex Numbers." In Undergraduate Texts in Mathematics. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-6053-5_20.
Full textKantor, I. L., and A. S. Solodovnikov. "Complex Numbers." In Hypercomplex Numbers. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3650-4_1.
Full textKantor, I. L., and A. S. Solodovnikov. "Subspaces." In Hypercomplex Numbers. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3650-4_10.
Full textKantor, I. L., and A. S. Solodovnikov. "Lemma on Homogeneous Systems of Equations." In Hypercomplex Numbers. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3650-4_11.
Full textKantor, I. L., and A. S. Solodovnikov. "Scalar Products." In Hypercomplex Numbers. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3650-4_12.
Full textKantor, I. L., and A. S. Solodovnikov. "Orthonormal Basis. Orthogonal Transformation." In Hypercomplex Numbers. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3650-4_13.
Full textKantor, I. L., and A. S. Solodovnikov. "Isomorphic Algebras." In Hypercomplex Numbers. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3650-4_14.
Full textKantor, I. L., and A. S. Solodovnikov. "Subalgebras." In Hypercomplex Numbers. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3650-4_15.
Full textConference papers on the topic "Hypercomplex numbers"
Watanabe, Ricardo Augusto, Estevao Esmi Laureano, and Cibele Cristina Trinca Watanabe. "Fuzzy Octonion Numbers and Fuzzy Hypercomplex Numbers." In 2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2019. http://dx.doi.org/10.1109/fuzz-ieee.2019.8858970.
Full textGao, Yun'e, and Xuegang Yu. "Two Kinds of Hypercomplex Numbers." In 2010 International Conference on Computing, Control and Industrial Engineering. IEEE, 2010. http://dx.doi.org/10.1109/ccie.2010.222.
Full textSchulz, Dominik, Jochen Seitz, and Joao Paulo C. Lustosa da Costa. "Widely linear SIMO filtering for hypercomplex numbers." In 2011 IEEE Information Theory Workshop (ITW). IEEE, 2011. http://dx.doi.org/10.1109/itw.2011.6089486.
Full textShalygin, K. A. "Using the hypercomplex numbers for instantaneous reactive power compensation." In 2012 IEEE 11th International Conference on Actual Problems of Electronics Instrument Engineering (APEIE). IEEE, 2012. http://dx.doi.org/10.1109/apeie.2012.6629096.
Full textSenna, Fernando Ribeiro de, and Marcos Eduardo Valle. "Tessarine and Quaternion-Valued Deep Neural Networks for Image Classification." In Encontro Nacional de Inteligência Artificial e Computacional. Sociedade Brasileira de Computação - SBC, 2021. http://dx.doi.org/10.5753/eniac.2021.18266.
Full textKunisch, Jurgen. "On the use of hypercomplex numbers for antenna and propagation problems." In 2012 6th European Conference on Antennas and Propagation (EuCAP). IEEE, 2012. http://dx.doi.org/10.1109/eucap.2012.6206734.
Full textMonteiro, Claudio A., and Fernando M. De Paula Neto. "Diabetes Prediction Using Quantum Neurons with Preprocessing Based on Hypercomplex Numbers." In 2021 IEEE Symposium Series on Computational Intelligence (SSCI). IEEE, 2021. http://dx.doi.org/10.1109/ssci50451.2021.9660028.
Full textVolianskyi, Roman, Vitaliy Kuznetsov, Valeriy Kuznetsov, Oleksandr Ostapchuk, Viktor Artemchuk, and Nina Volianska. "Modeling of Dynamical Objects with Hypercomplex Numbers for Railway Non Traction Consumers with Renewable Energy Sources." In 2021 International Conference on Electrical, Communication, and Computer Engineering (ICECCE). IEEE, 2021. http://dx.doi.org/10.1109/icecce52056.2021.9514151.
Full textNigmatullina, Vera T., Ivan I. Popov, Vadim A. Kozlov, and Anatolii N. Leukhin. "Photon echo as a method of optical processor construction for realization of computing operations above hypercomplex numbers." In SPIE Proceedings, edited by Vitaly V. Samartsev. SPIE, 2008. http://dx.doi.org/10.1117/12.801687.
Full textZhang, Shuai, Lina Yao, Lucas Vinh Tran, Aston Zhang, and Yi Tay. "Quaternion Collaborative Filtering for Recommendation." In Twenty-Eighth International Joint Conference on Artificial Intelligence {IJCAI-19}. International Joint Conferences on Artificial Intelligence Organization, 2019. http://dx.doi.org/10.24963/ijcai.2019/599.
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