Weak n-Ary Relational Products in Allegories by Bartosz Zieliński, Paweł Maślanka

“…Accordingly, relational products in an allegory can be viewed as a generalization of Cartesian products. There are several definitions of relational products currently in the literature. …”
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Light-cone gauge in non-relativistic AdS5 ×S5 string theory by Andrea Fontanella, Juan Miguel Nieto García

“…We show that, if we consider Cartesian coordinates, the action of fluctuations around the twisted BMN-like string found in arXiv:2109.13240 in uniform light-cone gauge becomes the one of free fields at large string tension and large AdS5 radius.…”
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Abstract algebra : an introduction to groups, rings and fields / by 525806 Reis, Clive

“…Logic and proofs -- Set theory -- Cartesian products, relations, maps and binary operations -- The integers -- Groups -- Further properties of groups -- The symmetric groups -- Rings, integral domains and fields -- Polynomial rings -- Field extensions -- Latin squares and magic squares -- Group actions, the class equation and the Sylow theorems -- Isometries -- Polya-Burnside enumeration -- Group codes -- Polynomial codes -- Appendix A : Rational, real and complex numbers -- Appendix B : Linear algebra.…”

Intermediate Solid Mechanics / by Lubarda, Marco V., 1983-, author 635765, Lubarda, Vlado A., author 635766

“…Part I covers basic theory, including the analysis of stress and strain, Hooke's law, and the formulation of boundary-value problems in Cartesian and cylindrical coordinates. Part II covers applications, from solving boundary-value problems, to energy methods and failure criteria, two-dimensional plane stress and strain problems, antiplane shear, contact problems, and much more. …”

Modeling and analysis on bipedal wheel-legged robot with sprawling mechanism by Sabilah, Abdul Halim

“…Forward kinematics equation is used to measure the output Cartesian position robot from the feedback signal of each joint of each leg. …”
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Revisiting diagonal tetrads: new Black Hole solutions in f(T) gravity by Adel Awad, Alexey Golovnev, María-José Guzmán, Waleed El Hanafy

“…This result applies to the flat horizon case with Cartesian coordinates. For solutions with a planar symmetry (or a flat horizon), one can naturally use Cartesian coordinates on the horizon. …”
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Robust Terminal Sliding Mode Control on SE(3) for Gough–Stewart Flight Simulator Motion Platform with Payload Uncertainty by Binhai Xie, Shuling Dai

“…Finally, a describing function and a step acceleration response to characterize the performance of a flight simulator motion base are employed to compare the robustness performance of the proposed controller on SE(3) with the conventional terminal sliding mode controller on Cartesian space. The comparison experimental results verify that the proposed controller on SE(3) provides better robustness than the conventional controller on Cartesian space, which means higher bandwidth in two degrees of freedom and faster response with smaller tracking error in six degrees of freedom.…”
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Free and Forced Wave Motion in a Two-Dimensional Plate with Radial Periodicity by Elisabetta Manconi, Sergey V. Sorokin, Rinaldo Garziera, Matheus Mikael Quartaroli

“…Only a small slice of the structure is analysed, which is approximated using piecewise Cartesian segments. Wave characteristics in each segment are obtained by the theory of wave propagation in periodic Cartesian structures and Finite Element analysis, while wave amplitude change due to the changes in the geometry of the slice is accommodated in the model assuming that the energy flow through the segments is the same. …”
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Melville and the Vortex Theory of Matter by Paweł Stachura

“…The brief reference to the Cartesian vortex in Moby-Dick has already been discussed in numerous specialized articles, usually in terms of the history of ideas, e.g. in two articles by D. …”
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A comparative study on Soul in Baba Afdal's philosophy and mind in Descartes' one by Seyyed Mostafa Shahraeini

“…The present paper tries to make a comparison among the Cartesian system and that of a roughly unknown Persian philosopher that, though being unknown, most of Cartesian innovative heritage in Western philosophy is preceded by his philosophy. …”
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Transformation procedures in 3D terrestrial coordinate systems by Sedlák Vladimír

“…Conventional Terrestrial System is the Cartesian right-handed coordinate system, i.e. positive one. …”
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A fast enriched FEM for Poisson equations involving interfaces by Huynh, Thanh Le Ngoc

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ANALISIS KEPUASAN PASIEN RAWAT JALAN TERHADAP KUALITAS PELAYANAN FARMASI RUMAH SAKIT UMUM DAERAH ABDUL WAHAB SJAHRANIE SAMARINDA by , RISKI ARYS TIANA, , Anna Wahyuni Widayanti, S.Farm., MPH., Apt.

“…Mapping of service quality dimension on Cartesian diagram indicated that reliability, empathy and responsiveness were on quadrant C. …”

Sidorenko's conjecture, graph norms, and pseudorandomness by Lee, J

“…A recursive approach to the conjecture, using Cartesian products of graphs, will also be discussed. …”

Using deep learning for calculation detection in coronary artery disease intravascular ultrasound image by Sofian, H., Than, J. C. M., Mohammad, S., Noor, N. M.

“…The accuracy of one is obtained using four classifiers namely Support Vector Machine, Discriminant Analysis, Ensembles and k-Nearest neighbour using a Cartesian coordinate image when taken with k-fold=10. …”

Numerical uncertainty at mesoscale in a Lagrangian model in complex terrain by J. Brioude, W. M. Angevine, S. A. McKeen, E.-Y. Hsie

“…The corresponding values for instantaneous wind with cartesian <i>w</i> were 24% and −11%. …”
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On Bilinear Narrow Operators by Marat Pliev, Nonna Dzhusoeva, Ruslan Kulaev

“…In this article, we introduce a new class of operators on the Cartesian product of vector lattices. We say that a bilinear operator <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>T</mi><mo lspace="0pt">:</mo><mi>E</mi><mo>×</mo><mi>F</mi><mo>→</mo><mi>W</mi></mrow></semantics></math></inline-formula> defined on the Cartesian product of vector lattices <i>E</i> and <i>F</i> and taking values in a vector lattice <i>W</i> is narrow if the partial operators <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>T</mi><mi>x</mi></msub></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>T</mi><mi>y</mi></msub></semantics></math></inline-formula> are narrow for all <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>x</mi><mo>∈</mo><mi>E</mi><mo>,</mo><mi>y</mi><mo>∈</mo><mi>F</mi></mrow></semantics></math></inline-formula>. …”
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Influence of the Mesh Topology on the Accuracy of Modelling Turbulent Natural and Excited Round Jets at Different Initial Turbulence Intensities by Karol Wawrzak, Artur Tyliszczak

“…The paper is aimed at an assessment of the importance of the coordinate system (Cartesian vs. cylindrical) assumed for simulations of free-round jets. …”
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Pragmatism and Existential Philosophy by Hans Lipps, Jason Hills

“…He claims that they aim at the same goals, e.g., a return to lived experience and a rejection of the Cartesian legacy in philosophy.  While summarizing the commonalities of each, he engages in a polemic against philosophy then that remains relevant now into the next century.…”
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On a surprising instability result of Perfectly Matched Layers for Maxwell’s equations in 3D media with diagonal anisotropy by Bécache, Éliane, Fliss, Sonia, Kachanovska, Maryna, Kazakova, Maria

“…The analysis of Cartesian Perfectly Matched Layers (PMLs) in the context of time-domain electromagnetic wave propagation in a 3D unbounded anisotropic homogeneous medium modelled by a diagonal dielectric tensor is presented. …”
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