Full dimensional Franck-Condon factors for the acetylene [~ over A] [superscript 1]A[subscript u] — [~ over X] [superscript 1Σ[+ over g] transition. I. Method for calculating polya... by Park, Barratt

“…To simplify the calculation, the other degenerate bending mode, ν[′′ over 5], is integrated in the Cartesian basis and later transformed to the constrained polar coordinate basis, restoring the conventional v and l quantum numbers. …”
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Wigner crystallization in topological flat bands by Błażej Jaworowski, Alev Devrim Güçlü, Piotr Kaczmarkiewicz, Michał Kupczyński, Paweł Potasz, Arkadiusz Wójs

“…We identify the Wigner crystals (WCs) by analyzing the Cartesian and angular Fourier transform of the pair correlation density of the many-body ground state obtained using exact diagonalization. …”
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Axiomatic characterizations of Ptolemaic and chordal graphs by Manoj Changat, Lekshmi Kamal K. Sheela, Prasanth G. Narasimha-Shenoi

“…Both these functions can be framed as special instances of a general set function termed as a transit function defined on the Cartesian product of a non-empty set \(V\) to the power set of \(V\) satisfying the expansive, symmetric and idempotent axioms. …”
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Asymptotic analysis of the transient response of a thermoelastic assembly involving a thin layer by Licht, Christian, Orankitjaroen, Somsak, Weller, Thibaut

“…In particular, according to the relative behaviors of the different parameters involved, new features are evidenced such as the apparition of an added specific heat coefficient for the interface or of additional thermomechanical state variables defined not only on the limit geometric interface but on its cartesian product by any interval of real numbers.…”
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Analysis of the added value for the quantitative reasoning competency at the Luis Amigó Catholic University in 2021 by Gabriel Jaime Posada-Hernández, Mauricio López-Bonilla, Diego Alejandro Uribe-Suarez, Luis Fernando Cardona-Palacio

“…The statistical comparison is made graphically on a Cartesian plane by quintiles using the standard deviations of the Saber11 test and the institutional test scores taken in the fifth semester of undergraduate students. …”
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Weakening of Metaphysical God in the Rationality of Modern Subject from Heidegger’s Point of View by Hani Ashrafi, Amir Maziar

“…،hrough historical investigations of western thought history, later Heidegger describes modern philosophy as the continuity, not separation, of Greek metaphysical tradition. He interprets Cartesian subjectivism as the consequence of Greek onto-theology, especially Plato and Aristotle's thoughts. …”
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Development of methods of analytical geometry of a sphere for solving geodesy and navigation tasks by G. I. Khudyakov

“…It was proved that spherical hyperbola and parabola are spherical ellipses with specific parameters. The Cartesian ordinates were introduced into the sphere and the relation between them and polar spherical coordinates was established. …”
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Consolidated Numerical Simulation of Multiple Flows with Heat Transfer using Virtual Flux Method by Hidetoshi NISHIDA, Hiroyuki SASAOKA

“…In this paper, the Cartesian grid approach with virtual flux method based on the usual incompressible Navier-Stokes equations is proposed for simulating the incompressible multiple flows with heat transfer. …”
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Cognitive construction of the solution set of a system of linear equations with two unknowns by Miguel Alejandro Rodríguez Jara, Arturo Mena Lorca, Jaime Mena Lorca, Patricia Vásquez Saldias, María Elsa Del Valle Leo

“…In this research, we propose a genetic decomposition for the solution set of a system of linear equations with two unknowns, by means of a transit from a homogeneous to a non-homogeneous linear system, in a Cartesian geometric context. To validate our genetic decomposition, we designed instruments that we applied to students from a secondary school mathematics teacher training program. …”
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An inexact multiblock alternating direction method for grasping-force optimization of multifingered robotic hands by Yaling Zhang, Xuewen Mu

“…The friction-cone constraints of the FOP are reformulated as the Cartesian product of circular cones. We focus on the convex quadratic circular-cone programming model of the FOP, which is an exact cone-programming model. …”
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Two-Fluid Mixed Magnetoconvection Flow in a Vertical Enclosure by . Prof. J. Prathap Kumar, J.C. Umavathi, B.M Biradar

“…Governing equations in cartesian co-ordinates are solved analytically using regular perturbation technique to develop the expression for velocity and temperature. …”
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Covariant generalized conserved charges of General Relativity by Carmen Gómez-Fayrén, Patrick Meessen, Tomás Ortín

“…Abstract Motivated by the current research of generalized symmetries and the construction of conserved charges in pure Einstein gravity linearized over Minkowski spacetime in Cartesian coordinates, we investigate, from a purely classical point of view, the construction of these charges in a coordinate- and frame-independent language in order to generalize them further. …”
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Living organizational communication :Consuming dialogism and polyphony as practical wisdom in the production of consciousness by Ahmad, Che Mahzan

“…For years such conversations are shaped by the mainstream Cartesian worldview and Newtonian mechanics. As cracks on the said worldview and fissures on the above mechanics become bigger and wider, the need to look at other ways of seeing and producing a more ‘living conversations’ are inevitable. …”
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Characteristics of human arm impedances: a study on daily movement by Choudhury, Tasnuva Tabashhum, Rahman, Md. Mozasser, Khan, Md. Raisuddin

“…The input data in the form of Cartesian position is measured to get dynamic impedance relationship by the motion equation for the mass-spring- damper system. …”
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Towards a Categorical Foundation for Generic Programming by Hinze, R, Wu, N, ACM

“…This paper puts the idea of interpreting types as functions on a firm theoretical footing, exploiting the fact that the simply-typed lambda calculus can be interpreted in a cartesian closed category. We identify a suitable target category, a subcategory of Cat, and argue that slice, coslice and comma categories are a good fit for interpreting generic functions at base types. …”

Numerical validation of a consistent axisymmetric lattice Boltzmann model. by Reis, T, Phillips, T

“…The model incorporates a spatially and temporally varying source term into the evolution equation for the momentum distribution function on a two-dimensional Cartesian lattice. The precise form of the source term is derived through a Chapman-Enskog analysis so that the additional axisymmetric contributions in the Navier-Stokes equations are furnished when written in the cylindrical polar coordinate system. …”

Solving Eigenvalue Problems on Curved Surfaces using the Closest Point Method by Macdonald, C, Brandman, J, Ruuth, S

“…Our algorithm, which is based on the Closest Point Method, relies on an embedding of the surface in a higher-dimensional space, where standard Cartesian finite difference and interpolation schemes can be easily applied. …”

Theory and Applications of Fermatean Neutrosophic Graphs by Said Broumi, R. Sundareswaran, M. Shanmugapriya, Assia Bakali, Mohamed Talea

“…Further, we introduce the concepts of regular Fermatean neutrosophic graphs, strong Fermatean neutrosophic graphs, Cartesian, Composition, Lexicographic product of Fermatean neutrosophic graphs. …”
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A empresa vista sob a ótica da totalidade by Maurício Fernandes Pereira

“…KEYWORDS: Holistic paradigm; Holistic organization; Newton-cartesian paradigm; Reducing…”
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Život jako rozhovor by Anna Hogenová

“…Using Heidegger’s motifs, we contemplate the key connections of our present and uncover an ontological dimension that is more original than Cartesian subjectivity. By descending to a more original ontological dimension, man is shown not as an objectifying (managing, digitizing, etc.) subject, but as a being of Being, thus of origin, to which belongs the paradox that it always happens for the first time and for the last time. …”
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