Journal articles on the topic 'Hypercomplex number'
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Labunets, 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 (March 30, 2018): 84–95. http://dx.doi.org/10.18287/2412-6179-2018-42-1-84-95.
Full textPulver, Sandra. "Quaternions: The hypercomplex number system." Mathematical Gazette 92, no. 525 (November 2008): 431–36. http://dx.doi.org/10.1017/s0025557200183639.
Full textSHU, JIAN-JUN, and YAJING LI. "HYPERCOMPLEX CROSS-CORRELATION OF DNA SEQUENCES." Journal of Biological Systems 18, no. 04 (December 2010): 711–25. http://dx.doi.org/10.1142/s0218339010003470.
Full textKalinovsky, Ya A., Yu E. Boyarinova, Ya V. Khitsko, and A. S. Sukalo. "Use of Methods for Generating Isomorphic Hypercomplex Number Systems to Increase the Efficiency of Multiplying Hypercomplex Numbers." Èlektronnoe modelirovanie 40, no. 5 (October 25, 2018): 27–40. http://dx.doi.org/10.15407/emodel.40.05.027.
Full textSilva Leite, F. "The geometry of hypercomplex matrices." Linear and Multilinear Algebra 34, no. 2 (March 1993): 123–32. http://dx.doi.org/10.1080/03081089308818216.
Full textКalinovskiy, Ya А., and Yu E. Boiarinova. "Method for Representing an Exponent in a Fifth-dimensional Hypercomplex Number Systems Using a Hypercomplex Computing Software." Èlektronnoe modelirovanie 43, no. 6 (December 6, 2021): 3–18. http://dx.doi.org/10.15407/emodel.43.06.003.
Full textSUNDHEIM, PAUL. "A MULTIPLICATIVE DETERMINANT FOR 2m-DIMENSIONAL MATRICES." Journal of Algebra and Its Applications 13, no. 01 (August 20, 2013): 1350067. http://dx.doi.org/10.1142/s0219498813500679.
Full textDotti, Isabel G., and Anna Fino. "Hypercomplex eight-dimensional nilpotent Lie groups." Journal of Pure and Applied Algebra 184, no. 1 (October 2003): 41–57. http://dx.doi.org/10.1016/s0022-4049(03)00104-x.
Full textHauser, Jochem, and Walter Dröscher. "Gravity Beyond Einstein? Part II: Fundamental Physical Principles, Number Systems, Novel Groups, Dark Energy, and Dark Matter, MOND." Zeitschrift für Naturforschung A 74, no. 5 (May 27, 2019): 387–446. http://dx.doi.org/10.1515/zna-2018-0559.
Full textKIM, JI EUN, and KWANG HO SHON. "COSET OF A HYPERCOMPLEX NUMBER SYSTEM IN CLIFFORD ANALYSIS." Bulletin of the Korean Mathematical Society 52, no. 5 (September 30, 2015): 1721–28. http://dx.doi.org/10.4134/bkms.2015.52.5.1721.
Full textWang, Xingyuan, and Tao Jin. "Hyperdimensional generalized M–J sets in hypercomplex number space." Nonlinear Dynamics 73, no. 1-2 (March 5, 2013): 843–52. http://dx.doi.org/10.1007/s11071-013-0836-5.
Full textArana-Daniel, Nancy. "Complex and Hypercomplex-Valued Support Vector Machines: A Survey." Applied Sciences 9, no. 15 (July 31, 2019): 3090. http://dx.doi.org/10.3390/app9153090.
Full textBERKOVICH, Y., and A. SHENKMAN. "HYPERNION NUMBERS AND THEIR USE IN THE ANALYSIS OF NETWORKS DRIVEN BY NONSINUSOIDAL SOURCES." Journal of Circuits, Systems and Computers 13, no. 01 (February 2004): 65–76. http://dx.doi.org/10.1142/s0218126604001192.
Full textShpakivskyi, Vitalii. "Hypercomplex method for solving linear PDEs." Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine 32 (December 28, 2018): 160–81. http://dx.doi.org/10.37069/1683-4720-2018-32-16.
Full textSHU, J. "Pairwise alignment of the DNA sequence using hypercomplex number representation." Bulletin of Mathematical Biology 66, no. 5 (September 2004): 1423–38. http://dx.doi.org/10.1016/j.bulm.2004.01.005.
Full textKuba, G. "On the Distribution of Squares of Hypercomplex Integers." Journal of Number Theory 88, no. 2 (June 2001): 313–34. http://dx.doi.org/10.1006/jnth.2000.2644.
Full textKALINOVSKY, Ya A., and Yu E. BOYARINOVA. "The Metod for Research of Isomorphism of Indecomposable Hypercomplex Number Systems." Èlektronnoe modelirovanie 39, no. 3 (June 6, 2017): 61–76. http://dx.doi.org/10.15407/emodel.39.03.061.
Full textCARIOW, Aleksandr. "An unified approach for developing rationalized algorithms for hypercomplex number multiplication." PRZEGL�D ELEKTROTECHNICZNY 1, no. 2 (February 5, 2015): 38–41. http://dx.doi.org/10.15199/48.2015.02.09.
Full textNag, S., J. A. Hillman, and B. Datta. "Characterisation theorems for compact hypercomplex manifolds." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 43, no. 2 (October 1987): 231–45. http://dx.doi.org/10.1017/s1446788700029372.
Full textBill, Jeremiah, Lance Champagne, Bruce Cox, and Trevor Bihl. "Meta-Heuristic Optimization Methods for Quaternion-Valued Neural Networks." Mathematics 9, no. 9 (April 23, 2021): 938. http://dx.doi.org/10.3390/math9090938.
Full textGu, Yingqiu. "Clifford Algebra and Hypercomplex Number as well as Their Applications in Physics." Journal of Applied Mathematics and Physics 10, no. 04 (2022): 1375–93. http://dx.doi.org/10.4236/jamp.2022.104097.
Full textPukhtaievych, Roman, and Sergiy Plaksa. "On logarithmic residue of monogenic functions in a three-dimensional commutative algebra with one-dimensional radical." Analele Universitatii "Ovidius" Constanta - Seria Matematica 25, no. 3 (December 20, 2017): 167–82. http://dx.doi.org/10.1515/auom-2017-0043.
Full textHauser, Jochem, and Walter Dröscher. "Gravity beyond Einstein? Part III: numbers and coupling constants, contradictory experiments, hypercomplex gravity like-fields, propellantless space propulsion." Zeitschrift für Naturforschung A 77, no. 1 (November 4, 2021): 13–86. http://dx.doi.org/10.1515/zna-2021-0147.
Full textPerez-Alvarado, Fernando, M. A. Hussein, and T. Becker. "Active contour and hypercomplex number for detecting Fusarium infestation and damages on barley grains." New Biotechnology 29 (September 2012): S22—S23. http://dx.doi.org/10.1016/j.nbt.2012.08.055.
Full textDEMİR, SÜLEYMAN, MURAT TANIŞLI, and TÜLAY TOLAN. "OCTONIC GRAVITATIONAL FIELD EQUATIONS." International Journal of Modern Physics A 28, no. 21 (August 20, 2013): 1350112. http://dx.doi.org/10.1142/s0217751x13501121.
Full textKlipkov, S. I. "On a new approach to the construction of hypercomplex number systems of rank two over the field of complex numbers." Ukrainian Mathematical Journal 63, no. 1 (June 2011): 158–68. http://dx.doi.org/10.1007/s11253-011-0494-z.
Full textEt. al., Dr Indrajit Patra ,. "Shifts in the Foundation: The Continual Modification and Generalization of Axioms and the Search for the Mathematical Principles that Underlie our Reality." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 2 (April 11, 2021): 1095–106. http://dx.doi.org/10.17762/turcomat.v12i2.1126.
Full textISOKAWA, TEIJIRO, HARUHIKO NISHIMURA, NAOTAKE KAMIURA, and NOBUYUKI MATSUI. "ASSOCIATIVE MEMORY IN QUATERNIONIC HOPFIELD NEURAL NETWORK." International Journal of Neural Systems 18, no. 02 (April 2008): 135–45. http://dx.doi.org/10.1142/s0129065708001440.
Full textKalinovsky, J. A., Y. E. Boyarinova, and J. V. Khitsko. "Method of Selecting Hypercomplex Number Systems for Modeling Digital Reversing Filters of the 3rd and 4th Orders." Èlektronnoe modelirovanie 41, no. 4 (August 8, 2019): 03–18. http://dx.doi.org/10.15407/emodel.41.04.003.
Full textIbrayev, А. Т. "METHOD FOR CONSTRUCTING THE COMMUTATIVE ALGEBRA OF QUATERNION AND OCTONION." PHYSICO-MATHEMATICAL SERIES 6, no. 334 (December 15, 2020): 5–12. http://dx.doi.org/10.32014/2020.2518-1726.91.
Full textFernandez-Guasti, Manuel. "Powers of Elliptic Scator Numbers." Axioms 10, no. 4 (October 7, 2021): 250. http://dx.doi.org/10.3390/axioms10040250.
Full textAntonov, Alexander Alexandrovich. "Hypothesis of the Hidden Multiverse Explains Dark Matter and Dark Energy." Applied Physics Research 9, no. 2 (February 16, 2017): 30. http://dx.doi.org/10.5539/apr.v9n2p30.
Full textGu, Ying-Qiu. "A Note on the Representation of Clifford Algebras." Journal of Geometry and Symmetry in Physics 62 (2021): 29–52. http://dx.doi.org/10.7546/jgsp-62-2021-29-52.
Full textQuadling, Douglas, I. L. Kantor, A. S. Solodovnikov, and A. Shenitzer. "Hypercomplex Numbers." Mathematical Gazette 74, no. 470 (December 1990): 399. http://dx.doi.org/10.2307/3618163.
Full textSchmitz, Georg J. "Quantitative mereology: An essay to align physics laws with a philosophical concept." Physics Essays 33, no. 4 (December 25, 2020): 479–88. http://dx.doi.org/10.4006/0836-1398-33.4.479.
Full textChaitin-Chatelin, F., and T. Meškauskas. "Computation with hypercomplex numbers." Nonlinear Analysis: Theory, Methods & Applications 47, no. 5 (August 2001): 3391–400. http://dx.doi.org/10.1016/s0362-546x(01)00454-0.
Full textDa¸sdemir, A. "On Hadamard Product of Hypercomplex Numbers." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 104, no. 4 (December 30, 2021): 68–73. http://dx.doi.org/10.31489/2021m4/68-73.
Full textKisil, Vladimir V. "Induced Representations and Hypercomplex Numbers." Advances in Applied Clifford Algebras 23, no. 2 (October 12, 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 (October 2005): 183–212. http://dx.doi.org/10.1007/s00006-005-0011-2.
Full textMalek, Sami, Peter Ouillette, Whitney Wright, Amanda Dressel, Judy Karp, Paula Bockenstedt, Ammar Al-Zoubi, et al. "Comprehensive Ultra High Resolution Analysis of Copy Number and Allele Status Including Novel Microdeletions Spanning NF1 in Acute Myelogenous Leukemia." Blood 112, no. 11 (November 16, 2008): 3107. http://dx.doi.org/10.1182/blood.v112.11.3107.3107.
Full textSUNDHEIM, PAUL. "AN INFINITE SYSTEM OF HYPERCOMPLEX NUMBERS." Journal of Algebra and Its Applications 11, no. 06 (November 14, 2012): 1250117. http://dx.doi.org/10.1142/s0219498812501174.
Full textBrewer, Sky. "Projective Cross-ratio on Hypercomplex Numbers." Advances in Applied Clifford Algebras 23, no. 1 (June 6, 2012): 1–14. http://dx.doi.org/10.1007/s00006-012-0335-7.
Full textCheng, Daizhan, Zhengping Ji, Jun-e. Feng, Shihua Fu, and Jianli Zhao. "Perfect hypercomplex algebras: Semi-tensor product approach." Mathematical Modelling and Control 1, no. 4 (2021): 177–87. http://dx.doi.org/10.3934/mmc.2021017.
Full textKisil, Vladimir V. "Symmetry, Geometry and Quantization with Hypercomplex Numbers." Geometry, Integrability and Quantization 18 (2017): 11–76. http://dx.doi.org/10.7546/giq-18-2017-11-76.
Full textHase-Liu, Matthew, and Adam Sheffer. "Sum–product phenomena for planar hypercomplex numbers." European Journal of Combinatorics 89 (October 2020): 103162. http://dx.doi.org/10.1016/j.ejc.2020.103162.
Full textCatoni, Francesco, Roberto Cannata, Vincenzo Catoni, and Paolo Zampetti. "N-dimensional geometries generated by hypercomplex numbers." Advances in Applied Clifford Algebras 15, no. 1 (March 2005): 1–25. http://dx.doi.org/10.1007/s00006-005-0001-4.
Full textMikhailichenko, G. G., and R. M. Muradov. "Hypercomplex numbers in the theory of physical structures." Russian Mathematics 52, no. 10 (October 2008): 20–24. http://dx.doi.org/10.3103/s1066369x08100034.
Full textVanwormhoudt, M. C. "Rings of hypercomplex numbers for NT Fourier transforms." Signal Processing 67, no. 2 (June 1998): 189–98. http://dx.doi.org/10.1016/s0165-1684(98)00036-x.
Full textKolodezhnov, V. N. "Three-component hypercomplex numbers on two-dimensional plane." Automation and Remote Control 71, no. 6 (June 2010): 1275–82. http://dx.doi.org/10.1134/s0005117910060287.
Full textHamilton, J. J. "Hypercomplex numbers and the description of spin states." Journal of Mathematical Physics 38, no. 10 (October 1997): 4914–28. http://dx.doi.org/10.1063/1.531926.
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