Positive Solutions for Coupled Nonlinear Fractional Differential Equations by Wenning Liu, Xingjie Yan, Wei Qi

“…It is remarkable that it is established on the Cartesian product of two cones, in which the feature of two equations can be opposite.…”
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Investigating Feed-Forward Back-Propagation Neural Network with Different Hyperparameters for Inverse Kinematics of a 2-DoF Robotic Manipulator: A Comparative Study by Rania Bouzid, Jyotindra Narayan, Hassène Gritli

“…By utilizing the FFBP-NN, our primary objective is to ascertain the joint angles required to attain precise Cartesian coordinates for the end-effector of the manipulator. …”
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Oor paaie, sirkels en waarhede: 'n Bydrae met betrekking tot die huidige hermeneutiese gesprek by H J M van Deventer

“…The movement in hermeneutics, introduced by Gadamer away from the Cartesian model, is also discussed. The arguments of Le Roux and Prinsloo are then viewed against this background, after which a suggestion is made regarding a way ahead. …”
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Analytical Method and Semianalytical Method for Analysis of Scattering by Anisotropic Sphere: A Review by Chao Wan, Hongning Li

“…Two main methods, angular expansion method and T-matrix method, which are widely used for the anisotropic sphere, are expressed in Cartesian coordinate firstly. The comparison of those and the further exploration on the scattering field are illustrated afterwards. …”
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The Y-Index of Some Complement Graph Structures and Their Applications of Nanotubes and Nanotorus by Mohammed Alsharafi, Abdu Alameri, Yusuf Zeren, Mahioub Shubatah, Anwar Alwardi

“…This study calculates the Y-index of some graphs and complements graph operations such as join, tensor and Cartesian and strong products, composition, disjunction, and symmetric difference between two simple graphs. …”
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A Two-Parametric Class of Merit Functions for the Second-Order Cone Complementarity Problem by Xiaoni Chi, Zhongping Wan, Zijun Hao

“…In particular, it provides a global error bound if F and G have the joint uniform Cartesian P-property. And it has bounded level sets under a weaker condition than the most available conditions. …”
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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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ALTERNATYVI MODERNYBĖ IR JOS STRATEGIJOS by Arūnas Gelūnas

“…Most of the outstanding critics of Modernity - Stephen Toulmin, Leszek Kolakowski, Friedrich August von Hayek and Louis Dumont - argue that Cartesian rationality and its "byproduct", rigid geometrical paradigm of knowledge, has to be replaced by a more flexible and evolution-oriented biological paradigm. …”
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A Modified Phase Cycling Method for Complex-Valued MRI Reconstruction by Wei He, Yu Zhang, Junling Ding, Linman Zhao

“…However, when it follows practical two-dimensional (2D) subsampling Cartesian acquisition which is only enforcing random sampling in the phase-encoding direction, a number of artifacts in magnitude appear. …”
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Leg Locomotion Adaption for Quadruped Robots with Ground Compliance Estimation by Songyuan Zhang, Hongji Zhang, Yili Fu

“…In this paper, a single-leg prototype and a test platform are built. The Cartesian coordinates of the foot-end are obtained through trajectory planning, and then, the virtual polar coordinates in the impedance control are obtained through geometric transformation. …”
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Sum-Connectivity Coindex of Graphs under Operations by Muhammad Ibraheem, Ebenezer Bonyah, Muhammad Javaid

“…Let Γ1 and Γ2 be two simple graphs; then, F-sum graph is defined by performing the Cartesian product on FΓ1 and Γ2; mathematically, it is denoted by Γ1+FΓ2, where F∈S,R,Q,T. …”
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Descartes on Modality and the Eternal Truths by Sarah Patterson

“…This article argues that Descartes’s position is in a sense closer to Moore’s solution than Moore permits, yet proposes an arguably more accurate account via the Cartesian relationship between omnipotence, indifference, and the dependence of the eternal truths on God. …”
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Historical reality and „understanding" the hermeneutical approach by Kęstutis Dubnikas

“…From the hermeneutical point of view, conversely, the individual self-consciousness cannot be constituted neither along the lines of Cartesian Ego, nor along the lines of the Enlightenment's understanding of a totally autonomous Ego. …”
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A Note on the Iterative MRI Reconstruction from Nonuniform k-Space Data by Tobias Knopp, Stefan Kunis, Daniel Potts

“…In magnetic resonance imaging (MRI), methods that use a non-Cartesian grid in k-space are becoming increasingly important. …”
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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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Particle-in-cell simulation of laser wakefield accelerators with oblique lasers in quasicylindrical geometry by Minghao Ma, Ming Zeng, Jia Wang, Guangwei Lu, Wenchao Yan, Liming Chen, Dazhang Li

“…In conventional methods, this is only possible in either two- or three-dimensional Cartesian geometries, which have the drawbacks of either lack of fidelity for the actual situation or requiring a huge amount of computational resources. …”
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Descartes on Natural Signs and the Case of Sensory Perception

“…Second, by reconstructing a taxonomy of signs this paper aims at rehabilitating the notion of sign as a Cartesian technical notion. It is rather perplexing that, even though Descartes made regular use of this notion in three distinct contexts, there is no general understanding of it as a term that merits rational reconstruction. …”
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Zagreb Eccentricity Indices of the Generalized Hierarchical Product Graphs and Their Applications by Zhaoyang Luo, Jianliang Wu

“…Moreover, we present explicit formulas for the M1* and M2* of S-sum graph, Cartesian, cluster, and corona product graphs by means of some invariants of the factors.…”
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First General Zagreb Index of Generalized F-sum Graphs by H. M. Awais, Muhammad Javaid, Akbar Ali

“…In this paper, for every integer γ≥2, the FGZ index Mγ is computed for the generalized F-sums graphs which are obtained by applying the different operations of subdivision and Cartesian product. The obtained results can be considered as the generalizations of the results appeared in (IEEE Access; 7 (2019) 47494–47502) and (IEEE Access 7 (2019) 105479–105488).…”
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Modeling the boundaries of the working space of a planar three-link manipulator by T. A. Sheveleva, A. A. Lyashkov

“…To confirm the reliability of the results obtained, as an example, an inverse kinematics problem is solved on discriminant surfaces — the values of generalized coordinates at the boundary points of the manipulator’s workspace are determined for their given Cartesian coordinates.…”
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