Results 41 to 50 of about 629 (72)
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
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On the dimension of orthogonal projections of self‐similar measures
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract Let ν$\nu$ be a self‐similar measure on Rd$\mathbb {R}^d$, d⩾2$d\geqslant 2$, and let π$\pi$ be an orthogonal projection onto a k$k$‐dimensional subspace. We formulate a criterion on the action of the group generated by the orthogonal parts of the iterated function system on π$\pi$, and show that it ensures that the dimension of πν$\pi \nu$ is
Amir Algom, Pablo Shmerkin
wiley +1 more source
Three-dimensional Curve Motions Induced by the Modified Korteweg-de Vries Equation
, 2007 We have constructed one-phase quasi-periodic solutions of the curve equation induced by the mKdV equation. The solution is expressed in terms of the elliptic functions of Weierstrass.
Shin, H. J.
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A Review of Modeling and Control Techniques for Unmanned Aerial Vehicles
Engineering Reports, Volume 7, Issue 6, June 2025.By systematically classifying UAV modeling techniques and comparing control methods, this paper addresses a notable gap in the current literature. Furthermore, it highlights emerging trends and challenges in UAV control systems, providing valuable insights to guide future research toward enhancing the stability, efficiency, and adaptability of ...
Elisabeth Andarge Gedefaw +2 more
wiley +1 more source
Maxwell's Theory of Solid Angle and the Construction of Knotted Fields [PDF]
, 2018 We provide a systematic description of the solid angle function as a means of constructing a knotted field for any curve or link in $\mathbb{R}^3$. This is a purely geometric construction in which all of the properties of the entire knotted field derive ...
Alexander, Gareth P., Binysh, Jack
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Computer-Aided Civil and Infrastructure Engineering, Volume 40, Issue 8, Page 1004-1027, 18 March 2025.Abstract This study proposes a multi‐perspective fusion model for operating speed prediction based on knowledge‐enhanced graph neural networks, named RoadGNN‐S. By utilizing message passing and multi‐head self‐attention mechanisms, RoadGNN‐S can effectively capture the coupling impacts of multi‐perspective alignment elements (i.e., two‐dimensional ...
Jianqiang Gao +4 more
wiley +1 more source
Every timelike geodesic in anti--de Sitter spacetime is a circle of the same radius
, 2016 We refine and analytically prove an old proposition due to Calabi and Markus on the shape of timelike geodesics of anti--de Sitter space in the ambient flat space.
Golda, Zdzislaw A. +1 more
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IET Intelligent Transport Systems, Volume 19, Issue 1, January/December 2025.1. An adaptive speed control method is proposed to execute the ship formation trajectory tracking task more efficiently and safely while entering port with tidal elevation variations. 2. A distributed ship formation controller based on the leader‒follower structure is designed to govern the coordinated motion of formation members more flexibly. 3.
Fanglie Wu +4 more
wiley +1 more source
PAMM, Volume 24, Issue 4, December 2024.Abstract Filament winding is a manufacturing process used in the construction of fiber composite structures, where a thermoset resin impregnated bunch of fibers is deposited on a rotating mandrel. The evolving stress and strain states due to thermal and mechanical loads during the manufacturing process are of particular interest to avoid subsequent ...
Christina Steinweller, Stefan Hartmann
wiley +1 more source
Smarandache Curves Of Null Quaternionic Curves In Minkowski 3-space
MANAS: Journal of Engineering, 2018 In this paper, we define Smarandache curves of null quaternionic curves in the semi ...
T. Kahraman
doaj