Results 91 to 100 of about 19,319 (303)
Multi-body kinematics and dynamics in terms of quaternions: Langrange formulation in covariant form: Rodriguez approach [PDF]
FME Transactions, 2010 This paper suggests a quaternion approach for the modeling kinematics and dynamics of rigid multi-body systems. Instead of the regular 'Newton-Euler' and Lagrange method used in the traditional way, Lagrange's equations of second kind in the covariant ...
Zorić Nemanja D. +2 more
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Corestrictions of algebras and splitting fields
, 2007 Given a field $F$, an \'etale extension $L/F$ and an Azumaya algebra $A/L$, one knows that there are extensions $E/F$ such that $A \otimes_F E$ is a split algebra over $L \otimes_F E$.
Krashen, Daniel
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A Shared Control Method of Multiobjective Motion Fusion for Surgical Robot
Advanced Intelligent Systems, EarlyView.This paper proposes an innovative shared control method that can handle multiple objectives task by integrating various types of controllers. It not only takes into account the priorities among the objectives but also allows for the flexible addition or removal of objective controllers.
Xilin Xiao +7 more
wiley +1 more source
Reprogrammable, In‐Materia Matrix‐Vector Multiplication with Floppy Modes
Advanced Intelligent Systems, EarlyView.This article describes a metamaterial that mechanically computes matrix‐vector multiplications, one of the fundamental operations in artificial intelligence models. The matrix multiplication is encoded in floppy modes, near‐zero force deformations of soft matter systems.
Theophile Louvet +2 more
wiley +1 more source
On free ring extensions of degree n
International Journal of Mathematics and Mathematical Sciences, 1981 Nagahara and Kishimoto [1] studied free ring extensions B(x) of degree n for some integer n over a ring B with 1, where xn=b, cx=xρ(c) for all c and some b in B(ρ=automophism of B), and {1,x…,xn−1} is a basis.
George Szeto
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Quaternion constituents of group algebras [PDF]
Proceedings of the American Mathematical Society, 1971 In this paper it is shown that each quaternion division algebra central over the rationals appears as a division ring constituent of some rational group algebra.
openaire +2 more sources
Advanced Intelligent Systems, EarlyView.This article proposes a method that combines coordinated trajectory generation with decoupled tracking control to improve end‐effector tracking accuracy for quadrupedal mobile manipulators. By leveraging whole‐body motion and modeling subsystems independently with interaction forces, the method achieves significant reductions in tracking error and ...
Kun Xu +4 more
wiley +1 more source
The Rôle of Quaternions in the Algebra of Vectors [PDF]
Nature, 1891 PROF. GIBBS seems to forget that his pamphlet was specially announced as Arranged for the use of Students in Physics. When I wrote the remark which has called forth his recent letter, I was discussing the reasons for the comparatively slow progress of Quaternion Analysis in recent times.
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Quaternion based generalization of Chern–Simons theories in arbitrary dimensions
Physics Letters B, 2017 A generalization of Chern–Simons gauge theory is formulated in any dimension and arbitrary gauge group where gauge fields and gauge parameters are differential forms of any degree.
Alessandro D'Adda +3 more
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Angewandte Chemie International Edition, Accepted Article.In recent years, significant progress has been made in the effort to shift the absorption of photoresponsive molecules into the long‐wavelength region of the electromagnetic spectrum. A breakthrough in this field was the recent development of π‐extended indigoid photoswitches, i.e., peri‐anthracenethioindigo (PAT), exhibiting all‐red to near‐infrared ...
Martina Hartinger +6 more
wiley +1 more source