Results 241 to 250 of about 245,762 (275)

Kinematic differential geometry of a rigid body in spatial motion—I. A new adjoint approach and instantaneous properties of a point trajectory in spatial kinematics

Mechanism and Machine Theory, 1997
Based on differential geometry, a new approach of a space curve adjoint to a ruled surface is presented in the paper. The geometrical properties of a point trajectory in spatial motion are extensively researched by means of the new adjoint approach. The invariants of axodes are derived and their kinematic meanings are revealed, and then, the invariants
null De Lun Wang, Jian Liu, null Da Zhun Xiao   +2 more
openaire   +1 more source

Normally generated line bundle and laurent series solutions of nonlinear differential equations

Journal of Dynamical Systems and Geometric Theories, 2018
The aim of this paper is to demonstrate the rich interaction between the properties of dynamical systems, the geometry of its asymptotic solutions, and the theory of Abelian varieties.
A. Lesfari
semanticscholar   +1 more source

Street canyon ventilation: Combined effect of cross‐section geometry and wall heating

Quarterly Journal of the Royal Meteorological Society, 2020
Understanding the dynamics of mass exchange between a street canyon and the overlying atmosphere is crucial to predict air quality in urban areas. Despite the large number of studies on this topic, there are many aspects that still need to be clarified ...
S. Fellini, L. Ridolfi, P. Salizzoni
semanticscholar   +1 more source

A novel linetype recognition algorithm based on track geometry detection data

Measurement science and technology
The detection and recognition of track geometry are crucial for ensuring railway transportation safety and maintenance efficiency. Traditional linetype recognition algorithms struggle to effectively handle the complexities of variable track geometry and ...
Zhaoyang Cheng, Zhi Han, Qiang Han, Chunlei Chen, Jinzhao Liu   +4 more
semanticscholar   +1 more source

Computerized design and analysis of a novel high load bearing internal gear drive with curved meshing line

Proceedings of the Institution of mechanical engineers. Part C, journal of mechanical engineering science
A novel high load bearing internal gear drive with curved meshing line is presented in this paper, and its performance is compared with that of an involute internal gear drive by finite element calculation.
Chao Jia, Guoju Li
semanticscholar   +1 more source

Envelope of Mid-Planes of a Surface and Some Classical Notions of Affine Differential Geometry

, 2015
For a pair of points in a smooth locally convex surface in 3-space, its mid-plane is the plane containing its mid-point and the intersection line of the corresponding pair of tangent planes.
Ady Cambraia, M. Craizer
semanticscholar   +1 more source

An encounter of classical differential geometry with dynamical systems in the realm of structural stability of principal curvature configurations

São Paulo Journal of Mathematical Sciences, 2021
J. Sotomayor
semanticscholar   +1 more source

Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems, Second Edition

, 2016
T. Ivey, J. Landsberg
semanticscholar   +1 more source

Differential Geometry of a General Motion in the Complex Projective Line

American Journal of Mathematics, 1949
openaire   +2 more sources

On the differential geometry of complexes of two-dimensional planes of the projective space $P^n$ containing a finite number of torsos and characterized by the configuration of their characteristic lines

Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2023
openaire   +1 more source