Results 1 to 10 of about 507,636 (319)
Kaluza’s theory in generalized coordinates [PDF]
Journal of Mathematical Physics, 2001 Maxwell’s equations can be obtained in generalized coordinates by considering the electromagnetic field as an external agent. The work presented here shows how to obtain the electrodynamics for a charged particle in generalized coordinates eliminating the concept of external force.
García-Perciante, Ana Laura +2 more
openaire +5 more sources
The Gergonne point generalized through convex coordinates
International Journal of Mathematics and Mathematical Sciences, 1999 The Gergonne point of a triangle is the point at which the three cevians to the points of tangency between the incircle and the sides of the triangle are concurrent.
J. N. Boyd, P. N. Raychowdhury
doaj +2 more sources
Visual Generalized Coordinates [PDF]
, 2015 An open problem in robotics is that of using vision to identify a robot's own body and the world around it. Many models attempt to recover the traditional C-space parameters. Instead, we propose an alternative C-space by deriving generalized coordinates from $n$ images of the robot. We show that the space of such images is bijective to the motion space,
Ramaiah, M. Seetha +3 more
openaire +3 more sources
International Journal of Analysis and Applications, 2022 In this paper, we established the Hermite-Hadamard inequalities via generalized fractional. Meanwhile, interval analysis is a particular case of set-interval analysis.
Jen Chieh Lo
doaj +3 more sources
The Averaged Hydrostatic Boussinesq Ocean Equations in Generalized Vertical Coordinates
Journal of Advances in Modeling Earth SystemsDue to their limited resolution, numerical ocean models need to be interpreted as representing filtered or averaged equations. How to interpret models in terms of formally averaged equations, however, is not always clear, particularly in the case of ...
Malte F. Jansen +3 more
doaj +2 more sources
Matrix Equations of the Motion of Multibody Systems with a Tree Structure in Hamiltonian Variables [PDF]
Journal of Applied and Computational Mechanics, 2023 The paper develops the methods for computer simulation of the dynamics of absolutely rigid body systems with a tree structure. The equations of motion are presented in compact matrix form. The case of holonomic constraints is also considered.
Vladimir Ivanov, Vladimir Shimanovskiy
doaj +1 more source
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper, a force field is constructed along a given integral manifold in the presence of random perturbing forces. In this case, two types of integral manifolds are considered separately: 1) trajectories that depend on generalized coordinates and ...
M.I. Tleubergenov +2 more
doaj +1 more source
Exploring Energy in the Direct Correction Method for Correcting Geometric Constraint Violations
Mathematics, 2023 The direct correction method is widely used for eliminating geometric constraint violations. This method involves iteratively adjusting the generalized coordinates, which are assumed to be consistent and remain so during the velocity-level corrections ...
Lina Zhang +4 more
doaj +1 more source
Semina: Ciências Exatas e Tecnológicas, 2021 Through mathematical models, it is possible to turn a problem of the physical domain to the computational domain. In this context, the paper presents a two-dimensional mesh generator in generalized coordinates, which uses the parametric linear spline ...
Gustavo Taiji Naozuka +4 more
doaj +1 more source
Frontiers in Applied Mathematics and Statistics, 2023 Numerical simulation results of basic exactly solvable fluid flows using the previously proposed by H. Chen Lattice Boltzmann Method (LBM) formulated on a general curvilinear coordinate system are presented.
Alexei Chekhlov +3 more
doaj +1 more source