Results 21 to 30 of about 646 (89)

Classical A_n--W-Geometry

, 1992
This is a detailed development for the $A_n$ case, of our previous article entitled "W-Geometries" to be published in Phys. Lett. It is shown that the $A_n$--W-geometry corresponds to chiral surfaces in $CP^n$.
A. Bilal, A. Bilal, A. Bilal, A. Bilal, A. Gerasimov, A. Polyakov, A.B. Zamolodchikov, A.N. Leznov, C. Itzykson, E. Cremmer, E. Cremmer, G. Sotkov, J.-L. Gervais, J.-L. Gervais, Jean-Loup Gervais, K. Ueno, L. Eisenhart, M. Sato, M. Saveliev, P. Forgács, P. Griffiths, P. Mansfield, S. Kobayashi, S.R. Das, V. Yu Ovsienko, V.G. Drinfeld, V.G. Kac, Y. Matsuo, Yutaka Matsuo   +28 more
core   +1 more source

Spatial Generalized Octonionic Curves

Axioms
This study investigates curves in a 7-dimensional space, represented by spatial generalized octonion-valued functions of a single variable, where the general octonions include real, split, semi, split semi, quasi, split quasi, and para octonions.
Mücahit Akbıyık, Jeta Alo, Seda Yamaç Akbıyık   +2 more
doaj   +1 more source

A Hardy inequality in twisted waveguides [PDF]

, 2005
We show that twisting of an infinite straight three-dimensional tube with non-circular cross-section gives rise to a Hardy-type inequality for the associated Dirichlet Laplacian.
B. Chenaud, D. Borisov, D. Borisov, D. Krejčiřík, D. Krejčiřík, G. Bouchitté, H. Kovařík, J. Goldstone, N.E. Hurt, P. Duclos, P. Exner, P. Exner, T. Ekholm, T. Ekholm, W. Bulla, W. Klingenberg, W. Renger   +16 more
core   +1 more source

Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots

Advanced Robotics Research, EarlyView.
A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun, Liang Zhang, Jianwen Zeng, Xuefeng Wang   +3 more
wiley   +1 more source

Invariants of analytic curves [PDF]

, 1989
In this article we introduce a complete system of geometry invariants for an analytic curve.
Zwiesler, H. J
core   +2 more sources

Multiple Unmanned Aerial Vehicle Formation Control through Deep Reinforcement Learning with Offline Sample Correction

Advanced Intelligent Systems, Volume 7, Issue 12, December 2025.
Herein, a deep reinforcement learning‐based multi‐UAV formation control approach is proposed. By optimizing the utilization of historical data through correcting of offline samples, the past experience is better leveraged and learning performance is improved.
Zhongkai Chen, Han Zhou, Chao Yan, Yihao Sun, Xiaojia Xiang   +4 more
wiley   +1 more source

Buckling of elastic filaments by discrete magnetic moments

, 2017
We study the buckling of an idealized, semiflexible filament along whose contour magnetic moments are placed. {We give analytic expressions for the critical stiffness of the filament below which it buckles due to the magnetic compression.
Boltz, Horst-Holger, Klumpp, Stefan
core   +1 more source

A Comparison of Skeletal Muscle Diffusion Tensor Imaging Tractography Seeding Methods

NMR in Biomedicine, Volume 38, Issue 12, December 2025.
Diffusion‐tensor imaging (DTI) fiber tracking can be used to quantify skeletal muscle architecture, allowing studies of muscle structure‐function relationships. However, the options for defining the seed points (starting points for integrating the first eigenvector of the diffusion tensor) to form the fiber tracts have not been evaluated.
Bruce M. Damon, Roberto Pineda Guzman, Carly A. Lockard, Xingyu Zhou   +3 more
wiley   +1 more source

On some curves with the modified orthogonal frame in Euclidean 3-space

, 2018
In this paper, we study helices and the Bertrand curves. We obtain some of the classification results of these curves with respect to the modified orthogonal frame in Euclidean 3 ...
Bukcu, Bahaddin, Es, Hasan, Karacan, Murat Kemal, Lone, Mohamd Saleem   +3 more
core   +1 more source

Curves on a spacelike surface in three dimensional Lorentz-Minkowski space [PDF]

, 2012
In this paper we consider curves on a spacelike surface in Lorentz-Minkowski $3$-space.\ud We introduce new geometric invariants for these curves. As an application of the unfolding theory of functions, we investigate the local and global propereties of ...
Sato, Takami
core   +2 more sources