Design optimization of one-dimensional aberration-free x-ray gradually focusing lenses by Yuanze Xu, He Lin, Futing Yi, Jing Liu

“…In our previous work, we proposed a new design method for an aberration-free x-ray refractive focusing lens based on an ideal Cartesian oval shape to solve the aberration problem in x-ray compound refractive focusing. …”
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Axisymmetric internal wave transmission and resonant interference in nonlinear stratifications by Boury, S., Odier, P., Peacock, Thomas

“…To date, the influence of nonlinear stratifications and two layer stratifications on internal wave propagation has been studied for two-dimensional wave fields in a Cartesian geometry. Here, we use a novel wave generator configuration to investigate transmission in nonlinear stratifications of an axisymmetric internal wave. …”
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Simple and accurate approximations for marcum Q-function by Feng, Lin

“…The function computes the probability that x is greater than a constant R, where x is the distance from a point in a 2-dimensional plane to the origin when the 2 Cartesian coordinates of x are independent Gaussian random variables. …”
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Numerical study of the formation process of ferrofluid droplets by Liu, Jing, Yap, Yit Fatt, Nguyen, Nam-Trung

“…The governing equations were solved with finite volume method on a Cartesian fixed staggered grid. The evolution of the interface was captured by the particle level set method. …”
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Computation of temperature distributions on uniform and non-uniform lattice sizes using mesoscopic lattice boltzmann method / D. Arumuga Perumal … [et al.] by D. Arumuga Perumal

“…It also focuses to solve heat conduction problems in one- and two-dimensional Cartesian geometries. It is known that, the lattice Boltzmann method is a relatively new method and application to heat conduction problems is scarce. …”
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The "virtual density" theory of neutronics by Reed, Mark Wilbert

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Cardiac 4D phase-contrast CMR at 9.4 T using self-gated ultra-short echo time (UTE) imaging by M. Krämer, A. G. Motaal, K-H. Herrmann, B. Löffler, J. R. Reichenbach, G. J. Strijkers, V. Hoerr

“…Methods Cardiac 4D PC CMR images were acquired at 9.4 T in healthy mice using the proposed self-gated radial center-out UTE acquisition scheme (TE/TR of 0.5 ms/3.1 ms) and a standard Cartesian 4D PC imaging sequence (TE/TR of 2.1 ms/5.0 ms) with a four-point Hadamard flow encoding scheme. …”
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Building a sustainable future: The role of additive manufacturing in civil construction by Maicon Douglas Leles da Silva, Lívia Fernanda Silva, Berenice Martins Toralles, Flávia Aparecida Reitz Cardoso, Marla Corso, Luciana Cristina Soto Herek Rezende

“…Printing speeds on the Cartesian robot were parameterized at 10, 30, and 50 mm/s. …”
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The impact of Covid-19 pandemic on MSMEs by Henry Nosih Saturwa, Suharno Suharno, Abdul Aziz Ahmad

“…Further, the mapping analysis using the Cartesian diagram demonstrates that the retail and food and beverage provision sectors exhibit the greatest labor decrease and average business cash flow resilience of 1.5 – 2 months. …”
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Kierkegaard’s Religious Understanding of “Subjectivity” by Mohammad Asghari, Neda Mohajel

“…In addition, it can be said that, by means of these concepts, he wants to introduce existentialistic subjectivity instead of modern philosophical subjectivity (Cartesian and Kantian one). It seems that most of the thinkers tend to confuse Kierkegaard's discussion of subjectivity with subjectivism. …”
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Settlement Prediction Based on the Relationship between the Empirical and Analytical Solutions of a Cylindrical Cavity under Undrained Conditions by Pieride Mabe Fogang, Yang Liu, Pengqiang Yu

“…The expansion of the cylindrical cavity is solved as a linear elasticity problem using a system of first-order ordinary differential equations containing two components in the Cartesian coordinates. The stress distribution around the cylindrical cavity is evaluated based on a biaxial force. …”
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Analysis of influence factor of service quality and taxpayer satisfaction in reporting e-SPT by Nobertus Purnomo Lastu

“…The data obtained was processed using Importance Performance Analysis (IPA) with the help of Cartesian diagrams for service quality and to determine the level of taxpayer satisfaction using a Tao diagram on Customer Satisfaction Index analysis. …”
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Wind Turbine Data Analysis and LSTM-Based Prediction in SCADA System by Imre Delgado, Muhammad Fahim

“…The data analysis is presented in cartesian, polar, and cylindrical coordinates to understand the wind and energy generation relationship. …”
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The Place of Doubt in Establishment of Descartes’ System of Thought by Seyyed Mostafa Shahraeeni, Seyyed Mohsen Azadikhah (Bize)

“…The role doubt plays for the Cartesian thinker is to provide a ground of certainty which can support the new construction of knowledge he intends to build. …”
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"Prisoner's Dilemma" vs. William S. Burroughs's "Controller's Dilemma": A Discursive Motif in the Repression of Working-Class Self-Organization by Manuel Yang

“…And, just as Derrida proposed the way in which Rousseau problematizes the origin of linguistics as Chomsky recounted it in Cartesian Linguistics, we can propose the way in which the revolutionary commons problematizes the origin of the workers' councils as, for instance, theorized by Sergio Bologna's "Class Composition and the Theory of the Party at the Origin of the Workers' Council Movement", a seminal article published in 1972.…”
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Non-commutativity in polar coordinates by James P. Edwards

“…Previous analysis found that the natural transition from Cartesian coordinates to the traditional polar system led to a representation of $$[\hat{r}, \hat{\varphi }]$$ [ r ^ , φ ^ ] as an everywhere diverging series. …”
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DIPS-Plus: The enhanced database of interacting protein structures for interface prediction by Alex Morehead, Chen Chen, Ada Sedova, Jianlin Cheng

“…While the original DIPS dataset contains only the Cartesian coordinates for atoms contained in the protein complex along with their types, DIPS-Plus contains multiple residue-level features including surface proximities, half-sphere amino acid compositions, and new profile hidden Markov model (HMM)-based sequence features for each amino acid, providing researchers a curated feature bank for training protein interface prediction methods. …”
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Inverse engineering of fast state transfer among coupled oscillators by Xiao-Jing Lu, Ion Lizuain, J. G. Muga

“…Mintert, Quantum 5 (2021) 409, and involves both rotation and transient scaling of the principal axes of the potential in a Cartesian representation. Importantly, this invariant is degenerate except for the subspace spanned by its ground state. …”
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A Tabular Format for Computing Inverse Kinematic Equations for a 3DOF Robot Leg by F. Nickols

“…The method can be extended to more than three degrees of freedom and also mapped into other coordinate frames such as a Cartesian or spherical.…”
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Computing Analysis of Connection-Based Indices and Coindices for Product of Molecular Networks by Usman Ali, Muhammad Javaid, Abdulaziz Mohammed Alanazi

“…In this paper, first and second Zagreb connection coindices are defined and obtained in the form of upper bounds for the resultant networks in the terms of different indices of their factor networks, where resultant networks are obtained from two networks by the product-related operations, such as cartesian, corona, and lexicographic. For the molecular networks linear polynomial chain, carbon nanotube, alkane, cycloalkane, fence, and closed fence, first and second Zagreb connection coindices are computed in the consequence of the obtained results. …”
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