The irregularity of graphs under graph operations by Abdo Hosam, Dimitrov Darko

“…In this paper we consider the irregularity of graphs under several graph operations including join, Cartesian product, direct product, strong product, corona product, lexicographic product, disjunction and sym- metric difference. …”
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On the lack of compactness in the axisymmetric neo-Hookean model by Marco Barchiesi, Duvan Henao, Carlos Mora-Corral, Rémy Rodiac

“…We also make a link with Cartesian currents showing that the candidate for the relaxation we obtained presents strong similarities with the relaxed energy in the context of $\mathbb {S}^2$ -valued harmonic maps.…”
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SEKTÖREL GRİD TEMELLİ MİHVERLEME YÖNTEMİ VE GENETİK ALGORİTMALARLA İNSANSIZ KARA ARACI NAVİGASYONU by Rafet Aksoy, Sefer Kurnaz

“…Mathematical formulization is build over Cartesian Coordinate System for computational simplicity. …”
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La crítica anticartesiana de Michel Foucault al psicoanálisis en Historia de la locura by Marco Alexis Salcedo

“…It is argued that the father of the psychoanalysis is challenged because of his affiliation to Cartesian thought that Foucault identified in his doctrine. …”
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Polygroup objects in regular categories by Alessandro Linzi

“…For this, we employ regularity as well as the monoidal structure induced on the category $ {\mathbf{Rel}} $ of sets and relations by cartesian products. We highlight how our approach can be generalised to any regular category. …”
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The Laplacian spectrum of weighted composite networks and the applications by Jian Zhu, Da Huang, Haiping Gao, Xianyong Li

“…We first give the definitions of three weighted graph operations, namely, Cartesian product, corona, and join. Second, the Laplacian spectra of these composite networks are calculated. …”
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Nonprehensile Manipulation of Multi-Link Hinges by White, Danielle Marie

“…In this work, we propose several Cartesian impedance controllers which utilize vision feedback, force feedback, or both to fold a multi-link hinge. …”
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Automatic Planning of Manipulator Transfer Movements by Lozano-Perez, Tomas

“…These algorithms allow planning transfer movements for Cartesian manipulators. The approach is based on a method of computing an explicit representation of the manipulator configurations that would bring about a collision.…”
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Affine Matching with Bounded Sensor Error: A Study of Geometric Hashing and Alignment by Grimson W. Eric L., Huttenlocher, Daniel P., Jacobs, David W.

“…This analysis reveals that the range of affine-invariant values depends on the actual $x$-$y$-positions of the features, i.e. with uncertainty, affine representations are not invariant with respect to the Cartesian coordinate system. We analyze the effect of this on geometric hashing and alignment recognition methods.…”
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Merleau-Ponty, Godard, Sobchack and the spatial aesthetics of Rashomon / Gopalan Ravindran by Ravindran, Gopalan

“…Maurice Merleau-Ponty's phenomenological theories have been an important source of inspiration for film theorists like Vivian Sobchack and film makers like Jean-Luc Godard. The Cartesian dichotomy between the subject and object became outmoded with the advent of Merleau-Ponty's conception of reversible subjects and objects. …”
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A GENERAL COMPUTATIONAL METHOD FOR MASS-TRANSPORT PROBLEMS INVOLVING WALL JET ELECTRODES AND ITS APPLICATION TO SIMPLE ELECTRON-TRANSFER, ECE AND DISP1 REACTIONS by Compton, R, Greaves, C, Waller, A

“…Conventional numerical methods based on a Cartesian grid are unsatisfactory because the electrode is very non-uniformly accessible. …”

Reflecting on the bases of geometry: Construction with the tractrix by Robert Dawson, Pietro Milici

“…We show that some important constructions can be done based on a weak axiomatization that does not fully specify the curve, and that more may be done using its Cartesian representation.…”
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Kinematics Analysis of 5250 Lab-Volt 5-DOF Robot Arm by Wathik Isaa Mahdi AL-Tameemi, Wael Mohammed Hasan Hadi

“…The kinematics problem is defined as the transformation from the Cartesian space to the joint space and vice versa. …”
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A physics-informed neural network based on mixed data sampling for solving modified diffusion equations by Qian Fang, Xuankang Mou, Shiben Li

“…Abstract We developed a physics-informed neural network based on a mixture of Cartesian grid sampling and Latin hypercube sampling to solve forward and backward modified diffusion equations. …”
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Direct Numerical Simulation of a Compressible Flow and Matrix-Free Analysis of its Instabilities over an Open Cavity by Marlon Sproesser Mathias, Marcello Medeiros

“…The implementation presented here is applicable to any flow with Cartesian geometry, however, the method can be extended to complex geometries and three-dimensional flows.…”
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Internal Parametricity for Cubical Type Theory by Evan Cavallo, Robert Harper

“…We define a computational type theory combining the contentful equality structure of cartesian cubical type theory with internal parametricity primitives. …”
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An energy stable discontinuous Galerkin time-domain finite element method in optics and photonics by Asad Anees, Lutz Angermann

“…In particular, the proposed semi-discrete scheme is optimally convergent in the spatial variable on Cartesian meshes with Qk-type elements, and the fully discrete scheme is conditionally stable with respect to a specially defined nonlinear electromagnetic energy.…”
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A modified compact numerical algorithm to solve 2D Navier-Stokes equation by S. Jayanthi, T. Kavitha

“…The proposed scheme involves domain transformation and the governing cartesian equations are transformed to body fitted coordinate system. …”
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Existence of self-similar solutions of the two-dimensional Navier–Stokes equation for non-Newtonian fluids by Dongming Wei, Samer Al-Ashhab

“…The reduced problem of the Navier–Stokes and the continuity equations, in two-dimensional Cartesian coordinates with Eulerian description, for incompressible non-Newtonian fluids, is considered. …”
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CALCULATION OF DYNAMIC COEFFICIENTS FOR FLUID FILM JOURNAL BEARINGS by Uğur YÜCEL

“…The Reynolds equation governing the pressure field within a bearing is obtained by simplifying the Navier-Stokes equations in Cartesian coordinates. It is then solved analytically using the short bearing approximation to obtain pressures in the fluid film. …”
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