Journal articles on the topic 'Quaternions space'
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Miškinis, P. "ON THE POSSIBLE EXISTENCE OF NEW FERMIONIC DEGREES OF FREEDOM IN D = 6." Mathematical Modelling and Analysis 8, no. 2 (June 30, 2003): 155–64. http://dx.doi.org/10.3846/13926292.2003.9637220.
Full textGe, Q. J. "On the Matrix Realization of the Theory of Biquaternions." Journal of Mechanical Design 120, no. 3 (September 1, 1998): 404–7. http://dx.doi.org/10.1115/1.2829166.
Full textDzwonkowski, Mariusz, and Roman Rykaczewski. "Quaternion Feistel Cipher with an Infinite Key Space Based on Quaternion Julia Sets." Journal of Telecommunications and Information Technology, no. 4 (December 30, 2015): 15–21. http://dx.doi.org/10.26636/jtit.2015.4.979.
Full textPuleko, I. V., O. V. Andreev, O. F. Dubina, V. O. Chumakevych, and A. S. Palamarchuk. "MODEL OF MOTION OF UNMANNED AERIAL VEHICLES BASED ON DUAL QUATERNION ALGEBRA." Проблеми створення, випробування, застосування та експлуатації складних інформаційних систем, no. 23 (December 28, 2022): 52–61. http://dx.doi.org/10.46972/2076-1546.2022.23.04.
Full textKUMAR, AWNIYA, SUNIL KUMAR SINGH, and SHEO KUMAR SINGH. "A Note on Moritoh Transforms." Creative Mathematics and Informatics 33, no. 2 (May 14, 2024): 185–201. http://dx.doi.org/10.37193/cmi.2024.02.05.
Full textGogberashvili, Merab. "(2 + 1)-Maxwell Equations in Split Quaternions." Physics 4, no. 1 (March 17, 2022): 329–63. http://dx.doi.org/10.3390/physics4010023.
Full textATASOY, Ali, and Faik BABADA˘G. "A new Approach to Hyper Dual Split Quaternions with Different Polar Representation." General Letters in Mathematics 14, no. 3 (September 2024): 75–82. http://dx.doi.org/10.31559/glm2024.14.3.4.
Full textEtzel, K. R., and J. M. McCarthy. "Interpolation of Spatial Displacements Using the Clifford Algebra of E4." Journal of Mechanical Design 121, no. 1 (March 1, 1999): 39–44. http://dx.doi.org/10.1115/1.2829427.
Full textWeng, Zi-Hua. "Forces in the complex octonion curved space." International Journal of Geometric Methods in Modern Physics 13, no. 06 (June 15, 2016): 1650076. http://dx.doi.org/10.1142/s0219887816500766.
Full textCansu, Gizem, Yusuf Yaylı, and İsmail Gök. "A new quaternion valued frame of curves with an application." Filomat 35, no. 1 (2021): 315–30. http://dx.doi.org/10.2298/fil2101315c.
Full textWeng, Zi-Hua. "Color Confinement and Spatial Dimensions in the Complex-Sedenion Space." Advances in Mathematical Physics 2017 (2017): 1–26. http://dx.doi.org/10.1155/2017/9876464.
Full textATA, Erhan, and Ümit Ziya SAVCI. "Generalized Quaternions and Matrix Algebra." Afyon Kocatepe University Journal of Sciences and Engineering 23, no. 3 (June 22, 2023): 638–47. http://dx.doi.org/10.35414/akufemubid.1182145.
Full textCzaplewski, Bartosz, Mariusz Dzwonkowski, and Roman Rykaczewski. "Digital Fingerprinting Based on Quaternion Encryption Scheme for Gray-Tone Images." Journal of Telecommunications and Information Technology, no. 2 (June 30, 2014): 3–11. http://dx.doi.org/10.26636/jtit.2014.2.1016.
Full textHANLON, B. E., and G. C. JOSHI. "SPONTANEOUS CP VIOLATION FROM A QUATERNIONIC KALUZA–KLEIN THEORY." International Journal of Modern Physics A 08, no. 19 (July 30, 1993): 3263–83. http://dx.doi.org/10.1142/s0217751x93001314.
Full textKRIEG, ALOYS. "THETA SERIES OVER THE HURWITZ QUATERNIONS." International Journal of Number Theory 06, no. 01 (February 2010): 25–36. http://dx.doi.org/10.1142/s1793042110002788.
Full textYuan, Jianping, Xianghao Hou, Chong Sun, and Yu Cheng. "Fault-tolerant pose and inertial parameters estimation of an uncooperative spacecraft based on dual vector quaternions." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 233, no. 4 (January 16, 2018): 1250–69. http://dx.doi.org/10.1177/0954410017751766.
Full textPu, Yasong, Yaoyao Shi, Xiaojun Lin, Yuan Hu, and Zhishan Li. "C2-Continuous Orientation Planning for Robot End-Effector with B-Spline Curve Based on Logarithmic Quaternion." Mathematical Problems in Engineering 2020 (July 22, 2020): 1–16. http://dx.doi.org/10.1155/2020/2543824.
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 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 (October 19, 2022): 1129–49. http://dx.doi.org/10.15388/namc.2022.27.29528.
Full textTAŞ, Ferhat. "Trajectory curves and surfaces: A new perspective via projective geometric algebra." Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 73, no. 1 (October 23, 2023): 64–75. http://dx.doi.org/10.31801/cfsuasmas.1170867.
Full textHashim, Hafizzuddin Firdaus Bin, and Takehiko Ogawa. "Estimation of Forearm Motion Based on EMG Using Quaternion Neural Network." Journal of Advanced Computational Intelligence and Intelligent Informatics 26, no. 3 (May 20, 2022): 269–78. http://dx.doi.org/10.20965/jaciii.2022.p0269.
Full textde Farias, Cristiana Miranda. "A Novel Dual Quaternion Based Cost Effcient Recursive Newton-Euler Inverse Dynamics Algorithm." International Journal of Robotic Computing 1, no. 2 (December 1, 2019): 144–68. http://dx.doi.org/10.35708/rc1868-126255.
Full textLUKIERSKI, J., and A. NOWICKI. "QUATERNIONIC SIX-DIMENSIONAL (SUPER)TWISTOR FORMALISM AND COMPOSITE (SUPER)SPACES." Modern Physics Letters A 06, no. 03 (January 30, 1991): 189–97. http://dx.doi.org/10.1142/s0217732391000154.
Full textAli, Sajid, Sara Shakil Qureshi, and Syed Ali Hassan. "Quaternion Codes in MIMO System of Dual-Polarized Antennas." Applied Sciences 11, no. 7 (April 1, 2021): 3131. http://dx.doi.org/10.3390/app11073131.
Full textLAMOTKIN, ALEXEY, NATALIA MISYURA, and EVGENII MITYUSHOV. "THE TRAJECTORIES CONSTRUCTION OF THE UNIVERSAL JOINT MOVEMENT IN THE CONFIGURATION SPACE IN ℝ3." Computational Nanotechnology 10, no. 1 (March 30, 2023): 60–66. http://dx.doi.org/10.33693/2313-223x-2023-10-1-60-66.
Full textValverde, Alfredo, and Panagiotis Tsiotras. "Spacecraft Robot Kinematics Using Dual Quaternions." Robotics 7, no. 4 (October 12, 2018): 64. http://dx.doi.org/10.3390/robotics7040064.
Full textLai, Wei Kit, Kiat Tat Qua, and Denis Chee Keong Wong. "On the sum of an idempotent and a tripotent in a quaternion algebra over the ring of integers modulo p." ITM Web of Conferences 67 (2024): 01022. http://dx.doi.org/10.1051/itmconf/20246701022.
Full textYefremov, Alexander P. "Physical theories in hypercomplex geometric description." International Journal of Geometric Methods in Modern Physics 11, no. 06 (July 2014): 1450062. http://dx.doi.org/10.1142/s0219887814500625.
Full textStanfield, Kyl, and Ahmad Bani Younes. "Dual-Quaternion Analytic LQR Control Design for Spacecraft Proximity Operations." Sensors 21, no. 11 (May 21, 2021): 3597. http://dx.doi.org/10.3390/s21113597.
Full textGONGOPADHYAY, KRISHNENDU, ABHISHEK MUKHERJEE, and SUJIT KUMAR SARDAR. "TEST MAP AND DISCRETENESS IN SL(2, ℍ)." Glasgow Mathematical Journal 61, no. 03 (August 7, 2018): 523–33. http://dx.doi.org/10.1017/s0017089518000332.
Full textLi, Guozhi, Shuizhong Zou, Shuxue Din, and Bin Qi. "Modified Hand–Eye Calibration Using Dual Quaternions." Applied Sciences 12, no. 23 (December 6, 2022): 12480. http://dx.doi.org/10.3390/app122312480.
Full textNEMES, F., and B. MIKÓCZI. "PERTURBED KEPLER PROBLEM IN GENERAL RELATIVITY WITH QUATERNIONS." International Journal of Modern Physics D 22, no. 08 (June 21, 2013): 1350040. http://dx.doi.org/10.1142/s0218271813500405.
Full textZanetti, Renato. "Rotations, Transformations, Left Quaternions, Right Quaternions?" Journal of the Astronautical Sciences 66, no. 3 (April 2, 2019): 361–81. http://dx.doi.org/10.1007/s40295-018-00151-2.
Full textSbitnev, Valeriy. "Relativistic Fermion and Boson Fields: Bose-Einstein Condensate as a Time Crystal." Symmetry 15, no. 2 (January 18, 2023): 275. http://dx.doi.org/10.3390/sym15020275.
Full textCaliskan, Abdussamet, and Süleyman Şenyurt. "The dual spatial quaternionic expression of ruled surfaces." Thermal Science 23, Suppl. 1 (2019): 403–11. http://dx.doi.org/10.2298/tsci181125053c.
Full textMartinez-Terán, Gerardo, Oswaldo Ureña-Ponce, Gerardo Soria-García, Susana Ortega-Cisneros, and Eduardo Bayro-Corrochano. "Fast Study Quadric Interpolation in the Conformal Geometric Algebra Framework." Electronics 11, no. 10 (May 11, 2022): 1527. http://dx.doi.org/10.3390/electronics11101527.
Full textKartiwa, Alit, Asep K. Supriatna, Endang Rusyaman, and Jumat Sulaiman. "Review of Quaternion Differential Equations: Historical Development, Applications, and Future Direction." Axioms 12, no. 5 (May 16, 2023): 483. http://dx.doi.org/10.3390/axioms12050483.
Full textMansouri, Imed, and Mohammed Ouali. "QUATERNION REPRESENTATION OF THE POWER MANIPULABILITY." Transactions of the Canadian Society for Mechanical Engineering 35, no. 2 (June 2011): 309–36. http://dx.doi.org/10.1139/tcsme-2011-0018.
Full textLi, Gui San. "Quaternions and Vector Mapping in Three-Dimensional Space." Applied Mechanics and Materials 235 (November 2012): 101–6. http://dx.doi.org/10.4028/www.scientific.net/amm.235.101.
Full textPurwar, Anurag, and Qiaode Jeffrey Ge. "On the Effect of Dual Weights in Computer Aided Design of Rational Motions." Journal of Mechanical Design 127, no. 5 (January 27, 2005): 967–72. http://dx.doi.org/10.1115/1.1906263.
Full textde Oliveira, Andre Schneider, Edson Roberto De Pieri, and Ubirajara Franco Moreno. "A new method of applying differential kinematics through dual quaternions." Robotica 35, no. 4 (November 24, 2015): 907–21. http://dx.doi.org/10.1017/s0263574715000880.
Full textÇanakcı, Zeynep, O. Oğulcan Tuncer, İsmai̇l Gök, and Yusuf Yaylı. "The construction of circular surfaces with quaternions." Asian-European Journal of Mathematics 12, no. 07 (November 18, 2019): 1950091. http://dx.doi.org/10.1142/s1793557119500918.
Full textChelnokov, Yu N. "Quaternion Methods and Regular Models of Celestial and Space Flight Mechanic: Using Euler (Rodrigues-Hamilton) Parameters to Describe Orbital (Trajectory) Motion. II: Perturbed Spatial Restricted Three-Body Problem." Известия Российской академии наук. Механика твердого тела, no. 1 (January 1, 2023): 3–32. http://dx.doi.org/10.31857/s0572329922600293.
Full textDahm, Rolf. "Spin-Flavour Symmetry and Contractions Towards Classical Space-Time Symmetry." International Journal of Modern Physics A 12, no. 01 (January 10, 1997): 147–52. http://dx.doi.org/10.1142/s0217751x97000190.
Full textRAJA, M., Ugur GUVEN, and Kartikay SINGH. "Design and Implementation of a 3-Dimensional Attitudes Estimator Device using Low Cost Accelerometer & Gyroscope with Microcontroller IDE." INCAS BULLETIN 12, no. 2 (June 5, 2020): 151–61. http://dx.doi.org/10.13111/2066-8201.2020.12.2.13.
Full textCao, Zongsheng, Qianqian Xu, Zhiyong Yang, Xiaochun Cao, and Qingming Huang. "Dual Quaternion Knowledge Graph Embeddings." Proceedings of the AAAI Conference on Artificial Intelligence 35, no. 8 (May 18, 2021): 6894–902. http://dx.doi.org/10.1609/aaai.v35i8.16850.
Full textXiang, Chao, Cong Fu, Deng Cai, and Xiaofei He. "Modeling Noncommutative Composition of Relations for Knowledge Graph Embedding." Electronics 12, no. 6 (March 12, 2023): 1348. http://dx.doi.org/10.3390/electronics12061348.
Full textBUCHANAN, WALTER, JAGANNATHAN GOMATAM, and BONNIE STEVES. "GENERALIZED MANDELBROT SETS FOR MEROMORPHIC COMPLEX AND QUATERNIONIC MAPS." International Journal of Bifurcation and Chaos 12, no. 08 (August 2002): 1755–77. http://dx.doi.org/10.1142/s0218127402005443.
Full textStoppato, Caterina. "Regular Moebius transformations of the space of quaternions." Annals of Global Analysis and Geometry 39, no. 4 (November 27, 2010): 387–401. http://dx.doi.org/10.1007/s10455-010-9238-9.
Full textKalauni, Pushpa, and J. C. A. Barata. "Role of division algebra in seven-dimensional gauge theory." Modern Physics Letters A 30, no. 10 (March 25, 2015): 1550047. http://dx.doi.org/10.1142/s0217732315500479.
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