Results 11 to 20 of about 5,227 (261)

Generalized approach to Galileo’s swiftest descent problem on a circle [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2023
Nearly 400 years ago Galileo Galilei posed a conjecture about the fastest descent on the lower half of a circle. Namely, he assumed that the descent along the circular arc itself is faster than along any broken line of chords.
Matti Selg
doaj   +1 more source

Kinematic Modes Identification and Its Intelligent Control of Micro-Nano Particle Manipulated by Acoustic Signal

open access: yesMathematics, 2022
In this paper, the dynamics of a micro-nano particle on the micro-thin plate driven by an acoustic signal was investigated, including the particle kinematics mode, kinematics equation, and trajectory control.
Xiaodong Jiao   +3 more
doaj   +1 more source

Resolutions of the Jerk and Snap Vectors for a Quasi Curve in Euclidean 3-Space

open access: yesMathematics, 2021
This work aims at studying resolutions of the jerk and snap vectors of a point particle moving along a quasi curve in Euclidean 3-space E3. In particular, we obtain the resolution of the jerk and snap vectors along the quasi vectors and offer an ...
Ebrahem Hamouda   +3 more
doaj   +1 more source

The Relativistic Harmonic Oscillator in a Uniform Gravitational Field

open access: yesMathematics, 2021
We present the relativistic generalization of the classical harmonic oscillator suspended within a uniform gravitational field measured by an observer in a laboratory in which the suspension point of the spring is fixed.
Michael M. Tung
doaj   +1 more source

On the Resolution of the Acceleration Vector According to Bishop Frame

open access: yesUniversal Journal of Mathematics and Applications, 2021
In the second half of the 19th century, Siacci investigated the motion of a particle in space under the influence of any forces (Atti R Accad Sci. Torino \textbf{14}(1879)).
Kahraman Esen Özen, Murat Tosun
doaj   +1 more source

A New Moving Frame for Trajectories with Non-Vanishing Angular Momentum

open access: yesJournal of Mathematical Sciences and Modelling, 2021
The theory of curves has a very long history. Moving frames defined on curves are important parts of this theory. They have never lost their importance.
Kahraman Esen Özen, Murat Tosun
doaj   +1 more source

Artificial intelligence for improved fitting of trajectories of elementary particles in dense materials immersed in a magnetic field

open access: yesCommunications Physics, 2023
Particle track fitting is crucial for understanding particle kinematics. In this article, we use artificial intelligence algorithms to show how to enhance the resolution of the elementary particle track fitting in dense detectors, such as plastic ...
Saúl Alonso-Monsalve   +4 more
doaj   +1 more source

Radiative corrections to neutron and nuclear β-decays: a serious kinematics problem in the literature

open access: yesJournal of High Energy Physics, 2023
We report a serious kinematics problem in the bremsstrahlung photon part of the order-α outer (model independent) radiative correction calculations for those neutron (and nuclear beta) decay observables (like electron-neutrino correlation parameter ...
Ferenc Glück
doaj   +1 more source

A General Robot Inverse Kinematics Solution Method Based on Improved PSO Algorithm

open access: yesIEEE Access, 2021
Robots whose geometric structure does not meet the Pieper criterion are called general robots. For the inverse kinematic operation of general robots, the closed solution method cannot be solved, and the numerical solution calculation amount is too large ...
Liu Yiyang   +4 more
doaj   +1 more source

Capability of discrete element method to investigate the macro-micro mechanical behaviours of granular soils considering different stress conditions and morphological gene mutation

open access: yesJournal of Rock Mechanics and Geotechnical Engineering, 2023
Discrete element method (DEM) has been widely utilised to model the mechanical behaviours of granular materials. However, with simplified particle morphology or rheology-based rolling resistance models, DEM failed to describe some responses, such as the ...
Wei Xiong, Jianfeng Wang, Zhuang Cheng
doaj   +1 more source

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