Elastic AlignedSENSE for Dynamic MR Reconstruction: A Proof of Concept in Cardiac Cine by Alejandro Godino-Moya, Rosa-María Menchón-Lara, Marcos Martín-Fernández, Claudia Prieto, Carlos Alberola-López

“…The feasibility of the proposed approach was tested in 2D Cartesian and golden radial multi-coil breath-hold cardiac cine acquisitions. …”
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A Godunov‐type finite‐volume solver for nonhydrostatic Euler equations with a time‐splitting approach by Farshid Nazari, Ramachandran D. Nair

“…Abstract A two‐dimensional conservative nonhydrostatic (NH) model based on the compressible Euler system has been developed in the Cartesian (x, z) domain. The spatial discretization is based on a Godunov‐type finite‐volume (FV) method employing dimensionally split fifth‐order reconstructions. …”
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AeroacousticEvaluation of a Simplified Weapon Bay under Transonic Conditions with Doors Oriented at Various Locations by Ali Can Fadil, Baha Zafer

“…In order to mitigate the high computational cost associated with acoustic analysis, a Cartesian mesh topology has been employed as an alternative approach. …”
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Wandering principal optical axes in van der Waals triclinic materials by Georgy A. Ermolaev, Kirill V. Voronin, Adilet N. Toksumakov, Dmitriy V. Grudinin, Ilia M. Fradkin, Arslan Mazitov, Aleksandr S. Slavich, Mikhail K. Tatmyshevskiy, Dmitry I. Yakubovsky, Valentin R. Solovey, Roman V. Kirtaev, Sergey M. Novikov, Elena S. Zhukova, Ivan Kruglov, Andrey A. Vyshnevyy, Denis G. Baranov, Davit A. Ghazaryan, Aleksey V. Arsenin, Luis Martin-Moreno, Valentyn S. Volkov, Kostya S. Novoselov

“…Their orientation – an orthogonal Cartesian basis that diagonalizes the permittivity tensor, is often assumed stationary. …”
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Indoor Positioning Based on Bluetooth RSSI Mean Estimator for the Evacuation Supervision System Application by Dariusz Janczak, Wojciech Walendziuk, Maciej Sadowski, Andrzej Zankiewicz, Krzysztof Konopko, Maciej Slowik, Malgorzata Gulewicz

“…A modified multilateration approach is used to estimate the person’s position in the 2D Cartesian coordinate system. The paper also includes the outcomes of experiments conducted on the proposed approach as it was applied to the prototype evacuation supervision system. …”
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Pluriversal Futures for Design Education by Lesley-Ann Noel, Adolfo Ruiz, Frederick M.C. van Amstel, Victor Udoewa, Neeta Verma, Nii Kommey Botchway, Arvind Lodaya, Shalini Agrawal

“…The authors posit that rather than a Cartesian rationalist perspective, the group advocates a relational view of situations in which the design responses to interdependent natural, social, economic, and technical systems, are specific to places and cultures. …”
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An Adaptive Second Order Sliding Mode Inverse Kinematics Approach for Serial Kinematic Chain Robot Manipulators by Wael Mohammed Elawady, Yassine Bouteraa, Ahmed Elmogy

“…The salient advantage of the CSOSM-AIK approach is that it does not require the availability of the kinematics model or Jacobian matrix of the robot manipulators from joint space variables to Cartesian space variables. The global stability of the closed-loop system with CSOSM-AIK methodology is proven using the Lyapunov theorem. …”
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A Motion Capture and Imitation Learning Based Approach to Robot Control by Peteris Racinskis, Janis Arents, Modris Greitans

“…The data collection, pre-processing and model training aspects of our proposed approach show promise, but further work is required in developing Cartesian motion planning tools before it is applicable in production applications.…”
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Analysis of Seismic Wavefield Characteristics in 3D Tunnel Models Based on the 3D Staggered-Grid Finite-Difference Scheme in the Cylindrical Coordinate System by Zhiwu Zuo, Duo Li, Pengfei Zhou, Chunjin Lin, Zhichao Yang, Xinji Xu, Lingli Zhang, Jiansen Wang

“…This method can avoid the diffraction interferences produced at the edges of the tunnel face in the Cartesian coordinate system. Based on this forward modeling method, the characteristics of wavefield and propagation laws of seismic waves under three kinds of common typical unfavorable geological models were explored, which can provide theoretical guidance to seismic data interpretation of tunnel seismic forward prospecting in practice.…”
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Bounds for the pebbling number of product graphs by Nopparat Pleanmani, Nuttawoot Nupo, Somnuek Worawiset

“…In this paper, we improve the upper bound of $\pi(G\square H)$ from $2\pi(G)\pi(H)$ to $\left(2-\frac{1}{\min\{\pi(G),\pi(H)\}}\right)\pi(G)\pi(H)$ where $\pi(G)$, $\pi(H)$ and $\pi(G\square H)$ are the pebbling number of graphs $G$, $H$ and the Cartesian product graph $G\square H$, respectively. …”
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Obstacle-avoidance path planning based on the improved artificial potential field for a 5 degrees of freedom bending robot by Q. Jiang, K. Cai, F. Xu

“…Firstly, a connecting-rod coordinate system of the 5 DOF Cartesian bending robot is established to determine an equation of motion trajectory of the bending robot. …”
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Analytical investigation of Carreau fluid flow through a non-circular conduit with wavy wall by Muhammad Hasnain Shahzad, Aziz Ullah Awan, Ali Akgül, Sohail Nadeem, Kamel Guedri, Murad Khan Hassani, Basim M. Makhdoum

“…The proposed problem is defined mathematically in Cartesian coordinates by incorporating no-slip boundary conditions. …”
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A Porous π-Stacked Self-Assembly of Cup-Shaped Palladium Complex for Iodine Capture by Lin-Lin Li, Min Huang, Ting Chen, Xiao-Feng Xu, Zhu Zhuo, Wei Wang, You-Gui Huang

“…This self-assembly features a cubic structure with channels along all three Cartesian coordinates, which enables it to efficiently capture iodine with an adsorption capacity of 0.60 g g⁻¹ for dissolved iodine and 1.81 g g⁻¹ for iodine vapor. …”
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Numerical Model for Laminar Flow in Agitated Vessel by tow Blades Impeller by L Rahmani, O Seghier, A Benmoussa, B Draoui, E Benachour

“…The computational fluid dynamic (CFD) model based on an implicit fractional step scheme and control volume method was developed for the spatial discretization of the Navier-Stokes, formulated in Cartesian coordinates primitives variables (u, v, p, T) on unstructured triangular mesh. …”
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The Euler’s harmonic holomorphic regenerative universe by Horia DUMITRESCU, Vladimir CARDOS, Radu BOGATEANU

“…The Cartesian dualism is a precursor to Euler’s complex theory, that completes the Descartes-Leibnitz monadic conception using the natural quanta (non-splitting e, π) along with their topological torsion in the form of dual isomorphism. …”
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Effect of 3D-Printed PLA Structure on Sound Reflection Properties by Katarina Monkova, Martin Vasina, Peter Pavol Monka, Jan Vanca, Dražan Kozak

“…This paper focuses on studying the sound reflection behavior of four different types of 3D-printed open-porous polylactic acid (PLA) material structures, namely cartesian, octagonal, rhomboid and starlit structures. …”
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Thermal and solute aspects among two viscosity models in synovial fluid inserting suspension of tri and hybrid nanomaterial using finite element procedure by Umar Nazir, Muhammad Sohail, Poom Kumam, Yasser Elmasry, Kanokwan Sitthithakerngkiet, Mohamed R. Ali, Muhammad Jahangir Khan, Ahmed M. Galal

“…The mathematical model is developed in Cartesian coordinate in the form of coupled partial differential equation (PDEs). …”
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A new approach to investigate the effects of artificial neural networks based on bipolar complex spherical fuzzy information by Jeonghwan Gwak, Harish Garg, Naeem Jan, Bushra Akram

“…This paper analyzes the artificial neural network impact on different computational organizations by using the innovative structure of bipolar complex spherical fuzzy relation which is any subset of the Cartesian product of two bipolar complex spherical fuzzy sets. …”
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On the Design of a Safe Human-Friendly Teleoperated System for Doppler Sonography by Juan Sebastián Sandoval Arévalo, Med Amine Laribi, Saïd Zeghloul, Marc Arsicault

“…For this purpose, an evaluation of both joint and Cartesian control approaches is provided. The simulation results allow us to corroborate the effectiveness of the V2SOM device to guarantee human safety when it is implemented in a multi-DoF robot.…”
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Existential Features of the Body in Merleau-Ponty Phenomenology by Neda Mohajel, Mahmoud Sufiani, Muhammad Asghari

“…He contrasts this analysis with philosophical analyzes, including Cartesian philosophy, in which he believes that sensory perception and the body as the foundation of human consciousness play an important role in his pre-reflective understanding of himself and the world.…”
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