Learning to use Cartesian coordinate systems to solve physics problems: the case of ‘movability’
European Journal of Physics, 2020 Abstract In this paper, we show that introductory physics students may initially conceptualise Cartesian coordinate systems as being fixed in a standard orientation. Giving consideration to the role that experiences of variation play in learning, we also present an example of how this learning challenge can be effectively addressed ...
Trevor Volkwyn +3 more
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Non-Cartesian Coordinate Systems in the Portage Library
, 2020 Brendan K. Krueger
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Conversion calculation method of multivariate integrals
AIMS Mathematics, 2021 The new schemes of calculation of double integrals and triple integrals are proposed in this paper. The formulas in which the double integral is converted into a line integral with respect to the arc length, and the triple integral is converted into a ...
Rong-jian Ning, Xiao-yan Liu, Zhi Liu
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On superintegrable systems separable in Cartesian coordinates [PDF]
Physics Letters A, 2018 We continue the study of superintegrable systems of Thompson's type separable in Cartesian coordinates. An additional integral of motion for these systems is the polynomial in momenta of N-th order which is a linear function of angle variables and the polynomial in action variables.
Yu.A. Grigoriev, A.V. Tsiganov
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Remote Sensing, 2022 The bright stars in the clear night sky with weak background lights should be observed in the traditional deflection of the vertical (DOV) measurement so that the DOV cannot be observed under all-weather conditions, which limits its wide applications. An
Xin Jin +4 more
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Classical Superintegrable Systems in a Magnetic Field that Separate in Cartesian Coordinates [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2020 We consider superintegrability in classical mechanics in the presence of magnetic fields. We focus on three-dimensional systems which are separable in Cartesian coordinates. We construct all possible minimally and maximally superintegrable systems in this class with additional integrals quadratic in the momenta.
Antonella Marchesiello, Libor Šnobl
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Visually Enhanced Parallel Coordinates Plot With Two-Dimensional Kernel Density Scatter Plots
IEEE Access, 2023 Parallel coordinates plots are popular tools for high-dimensional data visualization. To alleviate the difficulties caused by the inherent defects that arise when the dimensions are increased, this study attached two-dimensional kernel density scatter ...
Jia Liu +7 more
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To the question of coordinate system choice within composition of the spatial generalized MIMO radar ambiguity function [PDF]
ITM Web of Conferences, 2019 The issue of the choice of spatial coordinate system which is suitable to physical sense of the radar concept is explored on the basis of the derivation of spatial generalized ambiguity function for MIMO antenna system and of its cross-section analysis ...
Vodolazov Rodion +2 more
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Calculation of Angular Coordinates for the Control System of a Two-Link Industrial Robot Manipulator
Advanced Engineering Research, 2023 Introduction. One of the tasks of two-link manipulators of industrial robots that move the end-effector along complex trajectories (e.g., robot welder) is associated with the need for careful programming of their movement.
S. P. Glushko
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How to construct a coordinate representation of a Hamiltonian operator on a torus [PDF]
, 1995 The dynamical system of a point particle constrained on a torus is quantized \`a la Dirac with two kinds of coordinate systems respectively; the Cartesian and toric coordinate systems.
Ishikawa, S. +3 more
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