Electric charge tomography imaging using finite-element method and pro-rata distribution by Thuku, I. T., Rahmat, M. F., Tajdari, T.

“…In this paper the elements' and coordinates interpolation techniques of the finite-element method; Cartesian coordinate system, Gauss and Coulombs electrostatic laws were applied to model the system equation with sixteen electrodynamic sensors. …”

Certain Operations on Complex Picture Fuzzy Graphs by Muhammad Shoaib, Waqas Mahmood, Qin Xin, Fairouz Tchier, Ferdous M. O. Tawfiq

“…We elaborate on primary operations including: complement, join, union, Cartesian product, direct product, and composition of Com-PFG. …”
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Karl Marx and Liberation Theology: Dialectical Materialism and Christian Spirituality in, against, and beyond Contemporary Capitalism by Peter McLaren, Petar Jandrić

“…It rejects shallow rhetorical homologies between Marx and the Bible often found in liberation theology, and suggests a change of focus from seeking a formal or Cartesian logical consistency between Marxism and Christianity to exploring their dialectical consistency. …”
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A Novel Design of Permanent Magnet Linear Synchronous Motor with Reduced End Effect by Qingle Wu, Liqun Wang, Guolai Yang, Enling Tang, Lei Li, Ahmed Al-Zahrani

“…To compute its electromagnetic characteristics, a subdomain model that converts the Cartesian coordinate system into a polar coordinate system through coordinate transformation is further formulated, thus significantly reducing programming difficulty. …”
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Students creative thinking skills on differentiated instruction by Peni Anggareni, Akhmad Faisal Hidayat

“…This study aims to investigate and describe students' creative thinking skills in completing the Cartesian Coordinate Skills Task (CCST). This research was conducted in one of the public junior high schools in Jambi City. …”
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The Crossing Number of Hexagonal Graph H3,n in the Projective Plane by Wang Jing, Cai Junliang, Lv Shengxiang, Huang Yuanqiu

“…Many researchers made great e orts to investigate the crossing number of the Cartesian product of an m-cycle and an n-cycle, which is a special kind of (4,4)-tilings, either in the plane or in the projective plane. …”
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Magnetic Field Calculation for Flat Permanent-Magnet Linear Machines Using a Hybrid Analytical Model by LADGHEM CHIKOUCHE Brahim, Kamel Boughrara, Frédéric Dubas, Lazhar Roubache, Rachid Ibtiouen

“…This paper proposes an improved two-dimensional (2-D) hybrid analytical method (HAM) in Cartesian coordinates, based on the exact subdomain (SD) technique and the finite-difference method (FDM). …”
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Dyck path triangulations and extendability (extended abstract) by Cesar Ceballos, Arnau Padrol, Camilo Sarmiento

“…We introduce the Dyck path triangulation of the cartesian product of two simplices $\Delta_{n-1}\times\Delta_{n-1}$. …”
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Computational Analysis on the Influence of Normal Force in a Homogeneous Isotropic Microstretch Thermoelastic Diffusive Solid by Kulvinder Singh, Iqbal Kaur, Marin Marin

“…In the framework of Cartesian symmetry, the components of displacement, stresses, temperature change, and microstretch as well as couple stress were investigated with and without microstretch and diffusion. …”
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The strength of weak embodiment by Carlos Tirado, Omid Khatin-Zadeh, Melina Gastelum, Nathan Jones, Fernando Marmolejo-Ramos

“…Among other things, the embodiment approach breaks away from the Cartesian ontology of the modulatory system. We claim that the advantages of the embodiment approach are: a) it grounds cognition into modal experience, b) it is harmonious with a materialist philosophy of mind (emergent materialism), and c) it is supported by experimental research in various fields. …”
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1-Restricted Optimal Rubbling on Graphs by Beeler Robert A., Haynes Teresa W., Murphy Kyle

“…We determine the 1-restricted optimal rubbling numbers for Cartesian products. We also present bounds on the 1-restricted optimal rubbling number.…”
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A Nonlinear Fractional BEM Model for Magneto-Thermo-Visco-Elastic Ultrasound Waves in Temperature-Dependent FGA Rotating Granular Plates by Mohamed Abdelsabour Fahmy

“…To address this challenge, a BEM-based coupling scheme that is both reliable and efficient was proposed, with the Cartesian transformation method (CTM) used to compute domain integrals and the generalized modified shift-splitting (GMSS) method was used to solve the BEM-derived linear systems. …”
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3D Magnetic Field Reconstruction Methodology Based on a Scanning Magnetoresistive Probe by Filipe Richheimer, Margaret Costa, Diana C. Leitao, João Gaspar, Susana Cardoso, Paulo P. Freitas

“…Therefore, making use of a rotation stage, 11 nm thick ferromagnetic CoFe elements with 20 μm × 5 μm planar size were measured along different sensor axes and converted into cartesian coordinate magnetic field components by use of the analytical coordinate transform equations. …”
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Fractal characteristics of surface roughness and their effects on laser shock waves by Qingyong Zhu, Jinkun Zheng, Junjun Sun

“…The 3D fluid dynamics governing equations of the laser-supported detonation plasma flow field in Cartesian coordinates are given and discretized by a high-order difference scheme. …”
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Analytical modeling for rotor eccentricity solution in wind power generator with bread loaf PMs by Zhen Zhao, Xiaodong Zhang, Xiaoji Huai, Guangwei Liu

“…To simplify the calculation, the generator is first approximately modeled in the Cartesian coordinate, and then the bread loaf PMs are equivalently considered by pairs of coils so that their effects can be expressed by mathematic equations. …”
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Characterization of Rectifying Curves by Their Involutes and Evolutes by Marilena Jianu, Sever Achimescu, Leonard Dăuş, Adela Mihai, Olimpia-Alice Roman, Daniel Tudor

“…If this point is the origin of the Cartesian coordinate system, then the position vector of the rectifying curve always lies in the rectifying plane. …”
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Adaptive wavelet simulation of weakly compressible flow in a channel with a suddenly expanded section by Okamoto Naoya, Domingues Margarete Oliveira, Yoshimatsu Katsunori, Schneider Kai

“…A volume penalization method is employed to compute the flow in the Cartesian geometry and to impose the boundary conditions. …”
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A Ghost-Cell Immersed Boundary Method for Wave–Structure Interaction Using a Two-Phase Flow Model by Yuan-Shiang Tsai, Der-Chang Lo

“…The computational domain integrated with the air-water and fluid-solid phases allows the use of uniform Cartesian grids. The model simulates the wave generation, wave decomposition over a submerged trapezoidal breakwater, and the formation of the vortices as well as the drag and lift forces caused by the surface waves over three different configurations of the submerged structures. …”
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Turbulent dissipation in the boundary layer of precession-driven flow in a sphere by Sheng-An Shih, Santiago Andrés Triana, Jérémy Rekier, Véronique Dehant

“…Here, we use a local Cartesian model to study the energy dissipation in the boundary layer of a precessing sphere when the flow becomes turbulent, contrasting it with the laminar case. …”
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Aerial Physical Interaction in Grabbing Conditions with Lightweight and Compliant Dual Arms by Alejandro Suarez, Pedro J. Sanchez-Cuevas, Guillermo Heredia, Anibal Ollero

“…(with respect to) the grabbing point. A deflection-based Cartesian impedance control was designed for the compliant arm, allowing the generation of forces that help the aerial platform to maintain the reference position when it is disturbed due to external forces. …”
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