A Numerical Convolution Representation of Potential for a Disk Surface Density in 3D by Chien-Chang Yen

“…Numerical results show an almost second order of accuracy on a Cartesian coordinate system. A comparison study also demonstrates that this method can calculate the potential for disk surface density based on the uniform grids.…”
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DYNAMIC STABILITY ANALYSIS SOFTWARE DESIGN OF TUNNELING MACHINE BASED ON VB AND MATLAB by WEI Rui, JIN HeRong

“…The three-dimensional cartesian coordinate system of the cutting arm was established,and the whole process spatial pose of the tunneling machine was represented based on the transformation of spatial pose matrix. …”
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Parabolic Equation Modeling of Propagation over Terrain Using Digital Elevation Model by Xiao-Wei Guan, Li-Xin Guo, Ya-Jiao Wang, Qing-Liang Li

“…The application of DEM is extended to the Cartesian coordinate system and expected to provide a precise representation of a three-dimensional surface with high efficiency. …”
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Analysis of Phase Velocity of Love Waves in Rigid and Soft Mountain Surfaces: Exponential Law Model by Uma Bharti, Pramod Kumar Vaishnav, S.M. Abo-Dahab, Jamel Bouslimi, K.H. Mahmoud

“…The physical interpretation of materials’ structure has been explained in rectangular Cartesian coordinate system originated at the contact interface of layer and half-space. …”
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Inverse Kinematics Optimization Method of a 6-DOF Robot by Jian Wang, Yu Ao

“…According to the comprehensive criteria of robot singularity， joint avoidance and joint continuity， a set of best robot poses is selected from the pose set. In the Cartesian coordinate system， interpolation of different position points is performed， and the continuous motion between different position points of the robot is realized by solving the pose of different interpolation points. …”
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Research of Tooth Profile Error Evaluation Method based on Cartesian Coordinate Measurement Method by Zhang Bai, Lin Jiachun

“…The tooth profile error evaluation method is taken as research subject,the tooth profile error measurement and evaluation methods in the Cartesian coordinate system are systematic researched. The whole process of tooth profile error measurement is introduced,which includes the establishment of gear workpiece coordinate system,tooth profile measurement path planning,and tooth profile error evaluation. …”
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One-Step Leapfrog LOD-BOR-FDTD Algorithm with CPML Implementation by Yi-Gang Wang, Yun Yi, Bin Chen, Hai-Lin Chen, Kang Luo, Run Xiong

“…It can be concluded that the similar CPML scheme can also be easily applied to the one-step leapfrog LOD-FDTD algorithm in the Cartesian coordinate system.…”
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Application of CAD Technology in Extracting Line Feature of Industrial Part Image by Fei Li

“…Based on 3D computer-aided design (CAD) data, by solving the parameter transformation relationship between the CAD 3D Cartesian coordinate system and the image coordinate system, the target line feature is projected onto the image, and the initial value range of the image line feature is obtained. …”
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Modeling the hydrodynamics of the OWC device placed over an undulated seabed in the presence of ocean current by Santanu Kumar Dash, Kshma Trivedi, Santanu Koley, Shrabani Mondal

“…The mathematical problem is investigated within the framework of the two-dimensional Cartesian coordinate system by incorporating the classical linear wave-structure theory. …”
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Sound Source Omnidirectional Positioning Calibration Method Based on Microphone Observation Angle by Xu Yang, Hongyan Xing, Xinyuan Ji

“…The sound source data was measured using the microphone array perspective, and a new Cartesian coordinate system was established based on the observation angle of view for omnidirectional positioning calibration of the sound source. …”
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IMPROVE OF UNCERTAIN MICROSATELLITE MAGNETIC CLEANLINESS BASED ON MAGNETIC FIELD SPATIAL HARMONICS COMPENSATION by Б.І. Кузнецов, Т.Б. Нікітіна, І.В. Бовдуй, К.В. Чуніхін, В.В. Коломієць, Б.Б. Кобилянський

“…Vector payoff calculated based on development method for analytical calculation of magnetostatic field induction of spherical sources in the Cartesian coordinate system (CCS) using Wolfram Mathematica ® software. …”
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Designing a causal model of factors affecting the Lars supply chain by mojtaba khalesi, mojdeh rabani, Hasan Dehghan Dahnavi, Abolfazl Sadeghian, mohammad taghi honari

“…In the following, these indicators were evaluated using Dimtel's method to be effective or influential, and then the relationships of these indicators were drawn in the Cartesian coordinate system. Finally, the conceptual model of the Lares supply chain was modeled according to the different dimensions of this chain, and the indicators were evaluated as items in this conceptual model. …”
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Parameterization Modeling of Drop Arm Thickened Tooth Segment of Steering Gear based on CATIA by Cheng Chen, Jin Gu, Shenghuai Wang, Kang Chen

“…The modified gear involute equation under Cartesian coordinates system is established and the theory foundation is provided for parameterization modeling of modified gear. …”
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Methodology for Determining the Compliance Matrix and Analyzing the Skew Anisotropic Plate with an Arbitrarily Shaped Hole by Xiaoli Zhang, Aizhong Lu, Kezhi Song, Guangming Wu, Lei Wang

“…Initially, two local Cartesian coordinate systems are established along the skew orientations in the plate, and the equations for the elastic constants of the material are established according to the transformation formulae under rotation of the coordinate axes. …”
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