A comprehensive shape factor analysis using transportation of MoS2-SiO2/H2O inside an isothermal semi vertical inverted cone with porous boundary by E.N. Maraj, Z. Iqbal, Ehtsham Azhar, Zaffar Mehmood

“…Significances: Mathematical investigation is carried out in Cartesian coordinates. Physical flow problem has been tackeled numerically by means of shooting algorithm. …”
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Traveling spiral wave chimeras in coupled oscillator systems: emergence, dynamics, and transitions by M Bataille-Gonzalez, M G Clerc, E Knobloch, O E Omel’chenko

“…Two cases are discussed in detail, that of a top-hat coupling function and a two-parameter truncated Fourier approximation to this function in Cartesian coordinates. The latter allows semi-analytical progress, including determination of stability properties, leading to a classification of possible behaviors of both static and moving chimera states. …”
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Stability and conservation properties of transient field simulations using FIT by R. Schuhmann, T. Weiland

“…Especially in combination with the spatial discretization approach of the Finite Integration Technique (FIT) it leads to a highly efficient explicit simulation method, which in the special case of Cartesian grids can be regarded to be computationally equivalent to the Finite Difference Time Domain (FDTD) algorithm. …”
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DVILYPĖ FILOSOFINIO MODERNO SAVIGRINDA IN PECTORE – TVARUSIS HYPOKEIMENON IR ATOMON SĄJUNGOS TRAPUMAS by Marius Povilas Šaulauskas

“…The retrospective reconstruction of the conceptual underpinnings of this modernity’s project dwells on the reinterpretation of Cartesian subjectum, posited as an epistemological ego, in terms of not only Heideggerian hypokeimenon, but also of Habermasian atomon, understood as a performative constituent of the modern nuclear individuality. …”
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Accurate protein stability predictions from homology models by Audrone Valanciute, Lasse Nygaard, Henrike Zschach, Michael Maglegaard Jepsen, Kresten Lindorff-Larsen, Amelie Stein

“…In particular, the Rosetta cartesian_ddg protocol is robust against the small perturbations in the structure which homology modeling introduces. …”
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A robust Gated-PINN to resolve local minima issues in solving differential algebraic equations by SangJoon Lee, Byung-Tak Lee, Seok Kap Ko

“…We first investigate the use of conventional PINN to the Cartesian-coordinate simple pendulum problem with minimal initial conditions, as one of basic differential algebraic equation (DAE) problem. …”
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A deep learning method for drug-target affinity prediction based on sequence interaction information mining by Mingjian Jiang, Yunchang Shao, Yuanyuan Zhang, Wei Zhou, Shunpeng Pang

“…The proposed method utilized k-mers analysis and Cartesian product calculation to capture the interactions and evolutionary information among various residues, enabling the creation of the two matrices for target sequence. …”
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Analysis of the Stress State for a Layer with Two Incut Cylindrical Supports by Vitalii Yu. Miroshnikov, Oleksandr B. Savin, Mykhailo M. Hrebennikov, Vladyslav F. Demenko

“…The layer is considered in the Cartesian coordinate system, the supports are considered in the local cylindrical coordinates. …”

Structure alignment based on coding of local geometric measures by Rinne Andrew W, Chang Peter L, Dewey T Gregory

“…Such geometric alignments offer distinct advantages over structural alignments in Cartesian coordinates as it better handles structural subtleties associated with slight twists and bends that distort one structure relative to another.…”
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Heat Transport Analysis in Rectangular Shields Using the Laplace and Poisson Equations by Stefan Owczarek, Mariusz Owczarek

“…As a result, polynomial forms of the considered temperature field were obtained. A Cartesian coordinate system and rectangular shape of the plate were assumed. …”
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libmpdata++ 1.0: a library of parallel MPDATA solvers for systems of generalised transport equations by A. Jaruga, S. Arabas, D. Jarecka, H. Pawlowska, P. K. Smolarkiewicz, M. Waruszewski

“…Examples of applications include homogeneous transport in one, two and three dimensions in Cartesian and spherical domains; a shallow-water system compared with analytical solution (originally derived for a 2-D case); and a buoyant convection problem in an incompressible Boussinesq fluid with interfacial instability. …”
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How Significant Are Differences Obtained by Neglecting Correlations When Testing for Deformation: A Real Case Study Using Bootstrapping with Terrestrial Laser Scanner Observations... by Gaël Kermarrec, Jens-André Paffenholz, Hamza Alkhatib

“…Since B-spline surface approximations necessitate Cartesian coordinates of the TLS observations, the diagonal variance covariance matrix (VCM) of the raw TLS measurements has to be transformed by means of the error propagation law. …”
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GTasb3D: A Novel 3D Framework for Modeling Thermal Evolution and Rarefied Flows in Porous Active Small Bodies with Various Shapes by Yun Zhang, Christine M. Hartzell

“…By fully solving the energy and mass conservation equations using a mesh-free, Cartesian-coordinate-based method, this framework can evaluate the heat and mass transport in a porous cometary body of various shapes. …”
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Natural Convection from Discrete Heat Sources Placed in Wavy Enclosure by Ahmad W. Mustafa, Mustafa Z. Abood

“…The two heat sources constant and high temperature, length of each heat source (10%) from the total length of bottom surface, the distances that do not contain heat source on the bottom surface thermally insulated, temperature of verticals walls and upper surface low and constant. corrugating upper surface was change the dimensional corrugation amplitude between (0.1-0.3), for number of corrugations (3), the dimensional distances between the two heat sources were change between (0.2-0.8), the Rayleigh numbers ranged between (103 ≤ Ra ≤ 105), the fluid inside the enclosure was air Prandtl number for it (0.7). were analyzed flow and temperature fields inside the enclosure numerically by solving Navier Stokes and Energy Equations, have been used Cartesian velocity components and pressure on a collocated grid are used as dependent variables in the momentum equations which discretized by finite volume method, body fitted coordinates are used to represent the geometry shape of the problem accurately, were grid generated technique based on elliptic partial differential equations, SIMPLE algorithm is used to adjust the velocity field to satisfy the conservation of mass. …”
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Optimization technique for increasing resolution in computed tomography imaging by I.V. Grossu, O. Savencu, M. Verga, N. Verga

“…Considering a three-dimensional Hounsfield Units (HU) array, together with the corresponding spatial metadata of interest (pixel sizes and slice thickness), the procedure is based on halving each voxel along the directions of the device's Cartesian frame of reference and find those values which are both satisfying the X-Rays attenuation coefficient average requirement and minimizing the HU distance to classical interpolation points. …”
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Hard and soft tissue shape variation and changes in Class II division 1 malocclusion during orthodontic treatment: a geometric morphometric analysis by Chin Sin Chu, Murshida Marizan Nor, Alizae Marny Mohamed, Helmi Mohd Hadi Pritam

“…Methods This retrospective study included 141 pre-treatment and near-end treatment lateral cephalometric radiographs of Class II division 1 malocclusion patients aged 16–40 years with a skeletal II pattern (ANB > 4o). 32 landmarks in Cartesian coordinates were created and identified using MorphoJ software to establish a shape analysis. …”
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Estimation of electrical resistivity of conductive materials of random shapes by Š. Gans, J. Molnár, D. Kováč

“…The solution to the problem was carried out by the finite element method via the COMSOL Multiphysics 5.6 simulation program in a cartesian coordinate system and the resistance between two points of the metal sample was measured by the 4-wire method. …”
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Algorithmic Aspects of Simulation of Magnetic Field Generation by Thermal Convection in a Plane Layer of Fluid by Daniil Tolmachev, Roman Chertovskih, Vladislav Zheligovsky

“…We use products of linear combinations (each involving two to five terms) of Chebyshev polynomials in the vertical Cartesian space variable and Fourier harmonics in the horizontal variables for space discretisation of the toroidal and poloidal potentials of the flow (satisfying the no-slip conditions on the horizontal boundaries) and magnetic field (for which the boundary conditions mimick the presence of a dielectric over the fluid layer and an electrically conducting bottom boundary), and of the deviation of temperature from the steady-state linear profile. …”
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VISITORS’ SATISFACTION OF AGRITOURISM AT AGRIBISNIS ALOE VERA CENTER by Agustinus Bertolomeus Eko Dony Prayudi, Eva Dolorosa, Dr., MM, Dewi Kurniati, Dr., MM

“…It means that, if there were no improvement on the attributes, the satisfaction of the visitors would also deteriorate. Besides, from Cartesian coordinate system, it was found that there were five prioritized variables that need to be improved. …”
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The Oblique Function Theory in search of a dynamic and fluid urban morphology by Ertuğ Erpek, Esin Kömez Dağlıoğlu

“…In order to go beyond the Cartesian urban plan analysis of typo-morphological methodologies, topo-morphological approaches reexamine flows with paradigms of urban topological surface, fluid and dynamic morphologies, and architecture-landscape-infrastructure integrity. …”
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