TAFPred: Torsion Angle Fluctuations Prediction from Protein Sequences by Md Wasi Ul Kabir, Duaa Mohammad Alawad, Avdesh Mishra, Md Tamjidul Hoque

“…By analyzing the fluctuations in Cartesian coordinate space, we can understand the structural flexibility of proteins. …”
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Fully Coupled Large Eddy Simulation of Conjugate Heat Transfer in a Ribbed Channel with a 0.1 Blockage Ratio by Joon Ahn, Jeong Chul Song, Joon Sik Lee

“…By applying the IBM, it is possible to fully couple the convection on the fluid side and the conduction inside the solid and use a dynamic subgrid scale model in a Cartesian grid. The blockage ratio (<i>e</i>/<i>H</i>) is set at 0.1, which is typical for gas turbine blades. …”
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Validity of the boundary layer assumptions for natural convection around a cylinder in a porous medium by Behnam Keshavarzian, Habib-Olah Sayehvand

“…For the boundary layer results, the physical coordinate of the problem has been converted to a computational Cartesian system, and then the parabolic equations of the boundary layer have been solved numerically by coding in Fortran 90 using the implicit finite difference method of Keller box. …”
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Real-Time Thermospheric Density Estimation from Satellite Position Measurements by Mehta, Piyush M, Linares, Richard

“…This is demonstrated with simulated Global Positioning System position measurements with 5 min resolution and 10 m Cartesian position error. The proposed method is demonstrated to be simple, robust, and accurate through simulation scenarios. …”
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L-Sweeps: A scalable, parallel preconditioner for the high-frequency Helmholtz equation by Taus, Matthias, Zepeda-Núñez, Leonardo, Hewett, Russell J, Demanet, Laurent

“…Instead, with L-sweeps, information propagates in 90∘ cones induced by a Cartesian domain decomposition (CDD). We extend the notion of accurate transmission conditions to CDDs and introduce a new sweeping strategy to efficiently track the wave fronts as they propagate through the CDD. …”
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Nonlinear transform coding with lossless polar coordinates by Ba, Demba Elimane

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Design and analysis of diagnostic machines utilizing compliant mechanisms by Sung, Edward, S.M. Massachusetts Institute of Technology

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Search in location based social network by Lew, Stephanie Yin Hui.

“…Four indexing schemes that could be used for the local spatial querying were discussed in the report. In particular, the Cartesian Tier plotting, Geohasing with prefixes and Sharding for scalability was expanded on and implemented with Lucene and ElasticSearch. …”
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PEMODELAN TRANSFER MASSA GLUKOSA PADA PRODUKSI ETANOL MENGGUNAKAN YEAST TERENKAPSULASI by , RIANI AYU LESTARI, , Ir. Imam Prasetyo, M.Eng, Ph.D

“…The change in internal glucose concentration is function of the x, y position (Cartesian coordinate) and time. Capsule geometry was set in 2 dimensian axisymmetry and mathematical model was solved by using Comsol Multiphysics 3.5a. …”

Greedy approximation of high-dimensional Ornstein-Uhlenbeck operators with unbounded drift by Figueroa, L, Suli, E

“…In this paper, we extend the convergence analysis of the pure greedy and orthogonal greedy algorithms considered by Le Bris, Leli\`evre and Maday to the technically more complicated case where the Laplace operator is replaced by a high-dimensional Ornstein--Uhlenbeck operator with unbounded drift, of the kind that appears in Fokker--Planck equations that arise in bead-spring chain type kinetic polymer models with finitely extensible nonlinear elastic potentials, posed on a high-dimensional Cartesian product configuration space D = D_1 x ... x D_N contained in $\mathbb{R}^{N d}$, where each set D_i, i=1,...,N, is a bounded open ball in $\mathbb{R}^d$, d = 2, 3.…”

Greedy approximation of high-dimensional Ornstein-Uhlenbeck operators with unbounded drift by Figueroa, L, Suli, E

“…In this paper, we extend the convergence analysis of the pure greedy and orthogonal greedy algorithms considered by Le Bris, Leli\`evre and Maday to the technically more complicated case where the Laplace operator is replaced by a high-dimensional Ornstein--Uhlenbeck operator with unbounded drift, of the kind that appears in Fokker--Planck equations that arise in bead-spring chain type kinetic polymer models with finitely extensible nonlinear elastic potentials, posed on a high-dimensional Cartesian product configuration space D = D_1 x ... x D_N contained in $\mathbb{R}^{N d}$, where each set D_i, i=1,...,N, is a bounded open ball in $\mathbb{R}^d$, d = 2, 3.…”

The life within by Young, R

“…<p>Analysis of organic form begins not with plants but with the problem of Cartesian dualism. Inadvertently, its effect was to remove God from the natural world, thus opening the way to atheism. …”

Romantic thinking by Halmi, N

“…The German ‘early Romantic’ thinkers—Friedrich Hölderlin, Friedrich von Hardenberg (‘Novalis’), and Friedrich Schlegel—rejected the Cartesian legacy, which persisted through Kant and Fichte, of regarding reflective self-consciousness as the first principle of philosophy. …”

Greedy approximation of high-dimensional Ornstein-Uhlenbeck operators by Figueroa, L, Süli, E

“…Here, we extend the convergence analysis of the pure greedy and orthogonal greedy algorithms considered by Le Bris et al. to a technically more complicated situation, where the Laplace operator is replaced by an Ornstein-Uhlenbeck operator of the kind that appears in Fokker-Planck equations that arise in bead-spring chain type kinetic polymer models with finitely extensible nonlinear elastic potentials, posed on a high-dimensional Cartesian product configuration space D = D_1 x ... x D_N contained in R^(N d), where each set D_i, i = 1, ..., N, is a bounded open ball in R^d, d = 2, 3.…”

Recovering task fMRI signals from highly under-sampled data with low-rank and temporal subspace constraints by Chiew, M, Graedel, N, Miller, K

“…Successful latency discrimination is shown at acceleration factors up to R = 16 in a radial-Cartesian acquisition. We show that this approach works with approximate, or not perfectly informative constraints, where the derived benefit is commensurate with the information content contained in the constraints. …”

Helical vortex filament motion under the non-local Biot-Savart model by Van Gorder, R

“…We study the motion of such a helical filament in the Cartesian reference frame by determining the curve defining this filament mathematically from the Biot–Savart model. …”

Improved measurement of CP observables in B-+/--&gt;(DCPK +/-)-K-0 decays by Aubert, B, Bona, M, Karyotakis, Y, Lees, J, Poireau, V, Prencipe, E, Prudent, X, Tisserand, V, Tico, J, Grauges, E, Lopez, L, Palano, A, Pappagallo, M, Eigen, G, Stugu, B, Sun, L, Abrams, G, Battaglia, M, Brown, D, Button-Shafer, J, Cahn, R, Jacobsen, R, Kadyk, J, Kerth, LT, Kolomensky, Y

“…We also express the results in terms of the so-called Cartesian coordinates x+, x-, and r2: x+=-0.09±0.05(stat)±0. 02(syst), x-=0.10±0.05(stat)±0.03(syst), r2=0.05±0.07(stat) ±0.03(syst). …”

Multi-level adaptive particle mesh (MLAPM): a C code for cosmological by Knebe, A, Green, A, Binney, J

“…The code is purely grid-based and uses a recursively refined Cartesian grid to solve Poisson's equation for the potential, rather than obtaining the potential from a Green's function. …”

Workers` workload and productivity in oil palm cultivation in Malaysia by El Pebrian, Darius, Yahya, Azmi, Tan, Chun Siang

“…The established DWD-DEM-EXH Cartesian plots can be an important basis for prioritizing the operations for mechanization and ultimately for formulating a mechanization program for oil palm plantations in Malaysia. …”

Metaheuristic techniques for conformational search by Lim, Siew Mooi, Sulaiman, Md. Nasir, Mustapha, Norwati, Md. Sultan, Abu Bakar

“…These population-based probabilistic techniques explore conformational space by random perturbation of atomic Cartesian coordinates or the torsion angles of rotatable bonds. …”
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