Results 31 to 40 of about 431 (234)
A signature-based algorithm for computing Gröbner-Shirshov bases in skew solvable polynomial rings
Open Mathematics, 2015 Signature-based algorithms are efficient algorithms for computing Gröbner-Shirshov bases in commutative polynomial rings, and some noncommutative rings. In this paper, we first define skew solvable polynomial rings, which are generalizations of solvable ...
Zhao Xiangui, Zhang Yang
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Indagationes Mathematicae (Proceedings), 1968 ABSTRACTSkew polynomial rings .are considered with a multiplication defined byx•a=a1x+a1x2+…+arxr,ai∈K,where K is a (skew) field and the ai depend on a ∈ K. Under certain conditions the rings appear to be non-commutative principal ideal rings with a unique factorization.
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British Journal of Mathematics & Computer Science, 2015 DOI: 10.9734/BJMCS/2015/18665 Editor(s): (1) Sergio Serrano, Department of Applied Mathematics, University of Zaragoza, Spain. Reviewers: (1) Arvid Siqveland, Buskerud Vestfold University College, Norway. (2) Piyush Shroff, Mathematics, Texas State University, USA. (3) Francisco Bulnes, Department in Mathematics And Engineering, Tecnologico De Estudios,
W. Fakieh, S. Nauman
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On Weakly Separable Polynomials in Skew Polynomial Rings
Mathematical Journal of Okayama University, 2022 15 pages. Author's accepted manuscript of the article published in Math. J. Okayama Univ.
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Advanced Engineering Materials, EarlyView.It is shown that laser ablation pretreatment under oxygen‐free conditions enables copper–aluminium bonding at significantly lower deformation degrees and improved properties compared to mechanical brushing. Laser ablation further increases interface contact area and induces favourable residual stress states and microstructural compatibility ...
Khemais Barienti +11 more
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Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
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Skew Polynomial Rings: the Schreier Technique [PDF]
Acta Mathematica Vietnamica, 2022 AbstractSchreier bases are introduced and used to show that skew polynomial rings are free ideal rings, i.e., rings whose one-sided ideals are free of unique rank, as well as to compute a rank of one-sided ideals together with a description of corresponding bases. The latter fact, a so-called Schreier-Lewin formula (Lewin Trans. Am. Math.
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Compliant Pneumatic Feet with Real‐Time Stiffness Adaptation for Humanoid Locomotion
Advanced Robotics Research, EarlyView.A compliant pneumatic foot with real‐time variable stiffness enables humanoid robots to adapt to changing terrains. Using onboard vision and pressure control, the foot modulates stiffness within each gait cycle, reducing impact forces and improving balance. The design, cast in soft silicone with embedded air chambers and Kevlar wrapping, offers durable,
Irene Frizza +3 more
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Agribusiness, EarlyView.ABSTRACT This paper examines the determinants of generative AI (GenAI) knowledge and usage among agricultural extension professionals. Drawing on survey data from agricultural extension personnel in Tennessee, we employ regression analyses and latent Dirichlet allocation (LDA) for topic modeling of open‐ended responses to study the knowledge and usage ...
Abdelaziz Lawani +3 more
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A new drag and lift correlation for spherocylinders from fully resolved Immersed Boundary Method
AIChE Journal, EarlyView.Abstract Many industrial processes deal with non‐spherical particles, e.g., mineral mining and biomass conversion. It is crucial to understand the particles' hydrodynamics to control and optimize these processes. To extend the current state‐of‐the‐art from arrays of spherical particles to spherocylindrical particles, we performed extensive particle ...
A. H. Huijgen +4 more
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