Results 51 to 60 of about 629 (72)
Equation of spin motion in storage rings in a cylindrical coordinate system
, 2006 The exact equation of spin motion in a cylindrical coordinate system with allowance for electric dipole moments of particles has been derived. This equation is convenient for analytical calculations of spin dynamics in circular storage rings when the ...
Silenko, Alexander J.
core +2 more sources
On special curves in Lie groups with Myller configuration
Mathematical Methods in the Applied Sciences, Volume 47, Issue 14, Page 11693-11708, 30 September 2024.In this study, we determine a new type comprehensive frame, which is called the generalized Frenet‐type frame in three‐dimensional Lie groups with Myller configurations, and it includes several special and classical type frames for Euclidean 3‐space and three‐dimensional Lie groups.
Zehra İşbilir +2 more
wiley +1 more source
Quaternionic Curves Which Lie on the Special Planes in 4−Dimensional Euclidean Space E4
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this study, some curvature conditions of quaternionic curves are obtained by writing the position vectors of quaternionic curves as linear combinations of new vector fields, named as Di (1 ≤ i ≤ 4), that are produced from Frenet frame fields of the quaternionic curves.
İlim Kişi +3 more
wiley +1 more source
A note on the motion of surfaces
, 1993 We study the motion of surfaces in an intrinsic formulation in which the surface is described by its metric and curvature tensors. The evolution equations for the six quantities contained in these tensors are reduced in number in two cases: (i) for ...
McLachlan, Robert I., Segur, Harvey
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Characterizations of Special Curves [PDF]
, 2012 In this study, the new characterizations of special curves are investigated without using the curvatures of these special curves: general helices, slant helices, Bertrand curves, Mannheim curves.
Saracoglu, Semra, Yayli, Yusuf
core
A lower bound to the spectral threshold in curved tubes
, 2004 We consider the Laplacian in curved tubes of arbitrary cross-section rotating together with the Frenet frame along curves in Euclidean spaces of arbitrary dimension, subject to Dirichlet boundary conditions on the cylindrical surface and Neumann ...
D. Krejčiřík +4 more
core +1 more source
Structured time-delay models for dynamical systems with connections to Frenet-Serret frame. [PDF]
Proc Math Phys Eng Sci, 2021 Hirsh SM +4 more
europepmc +1 more source
A Ribbon Model for Nematic Polymer Networks. [PDF]
J Elast, 2023 Singh H, Virga EG.
europepmc +1 more source
Predicting the risk of rupture for vertebral aneurysm based on geometric features of blood vessels. [PDF]
R Soc Open Sci, 2021 Li S +5 more
europepmc +1 more source
Heisenberg ferromagnetism as an evolution of a spherical indicatrix: localized solutions and elliptic dispersionless reduction [PDF]
, 2018 A geometrical formulation of Heisenberg ferromagnetism as an evolution of a curve on the unit sphere in terms of intrinsic variables is provided and investigated.
Demontis, Francesco +2 more
core +1 more source