Relativistic and Quantum Revisions of the Multisource Thermal Model in High-Energy Collisions by Fu-Hu Liu, Cai-Xing Tian, Mai-Ying Duan, Bao-Chun Li

“…The distributions of particle momenta, momentum components, transverse momenta, kinetic energies, and velocities in both the classical and relativistic situations are presented to give comparisons.…”
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Multivariate Dynamic Sneak-Out Inequalities on Time Scales by Ammara Nosheen, Aneeqa Aslam, Khuram Ali Khan, Khalid Mahmood Awan, Hamid Reza Moradi

“…In seeking applications, these inequalities are discussed in classical, discrete, and quantum calculus.…”
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One-Kind Hybrid Power Means of the Two-Term Exponential Sums and Quartic Gauss Sums by Xiaoxue Li, Li Chen

“…The main purpose of this article is using the analytic methods and the properties of the classical Gauss sums to study the calculating problem of the hybrid power mean of the two-term exponential sums and quartic Gauss sums and then prove two interesting linear recurrence formulas. …”
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A Volume Comparison Estimate with Radially Symmetric Ricci Curvature Lower Bound and Its Applications by Zisheng Hu, Yadong Jin, Senlin Xu

“…We extend the classical Bishop-Gromov volume comparison from constant Ricci curvature lower bound to radially symmetric Ricci curvature lower bound, and apply it to investigate the volume growth, total Betti number, and finite topological type of manifolds with nonasymptotically almost nonnegative Ricci curvature.…”
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Thermo-visco-elastic Rayleigh waves under the influence of couple-stress and gravity by Tapan Kumar Das, P. R. Sengupta, Lokenath Debnath

“…It is shown that the phase velocity equation reduces to that of the classical elastic Rayleigh waves in the absence of the couple-stress parameter, viscosity and gravity.…”
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Approximation by the -Szász-Mirakjan Operators by N. I. Mahmudov

“…In particular, it is proved that the rate of approximation by the q-Szász-Mirakjan operators ( ) is of order versus 1/n for the classical Szász-Mirakjan operators.…”
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Topological Entropy of Cournot-Puu Duopoly by Jose S. Cánovas, David López Medina

“…The aim of this paper is to analyze a classical duopoly model introduced by Tönu Puu in 1991. …”
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On the economic risk capital of portfolio insurance by Werner Hürlimann

“…A formula for the conditional value-at-risk of classical portfolio insurance is derived and shown to be constant for sufficiently small loss probabilities. …”
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Homoclinic Solutions of a Class of Nonperiodic Discrete Nonlinear Systems in Infinite Higher Dimensional Lattices by Genghong Lin, Zhan Zhou

“…By using critical point theory, we obtain a new sufficient condition on the existence of homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite lattices. The classical Ambrosetti-Rabinowitz superlinear condition is improved by a general superlinear one. …”
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La casuistique du baiser by Marianne Blidon

“…The city is classically defined as a space carrying modern values of emancipation and freedom. …”
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A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums by Jianghua Li, Tingting Wang

“…The main purpose of this paper is using the analytic method, A. Weil’s classical work for the upper bound estimate of the general exponential sums, and the properties of Gauss sums to study the hybrid mean value problem involving Dedekind sums and the general exponential sums and give a sharp asymptotic formula for it.…”
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P-Fuzzy Diffusion Equation Using Rules Base by Jefferson Leite, R. C. Bassanezi, Jackellyne Leite, Moiseis Cecconello

“…We emphasize that the classical diffusion equation along with its analytical solution in no time was used for obtaining our solution.…”
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An Improvement of the Differential Transformation Method and Its Application for Boundary Layer Flow of a Nanofluid by Abdelhalim Ebaid, Hassan A. El-Arabawy, Nader Y. Abd Elazem

“…The main feature of the boundary layer flow problems of nanofluids or classical fluids is the inclusion of the boundary conditions at infinity. …”
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Improving diversification by a hybrid bat-Nelder-Mead algorithm and DDE for rapid convergence to solve global optimization by Enas Suhail, Mahmoud El-Alem, Omar Bazighifan, Ahmed Zekri

“…A novel hybridization between the downhill Nelder-Mead simplex algorithm (NM) and the classic bat algorithm (BA) was presented. The classic BA suffers from premature convergence, which is due to its global search weakness. …”
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Relative entropy formulation of thermalization process in a Schwarzschild spacetime by Si-Wei Han, Zhichun Ouyang, Zhiyao Hu, Jun Feng

“…With growing Hawking temperature, we find that the consumption rate of quantum coherence is larger than that of its classical counterpart.…”
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Numerical Analysis of Chaos in a Phononic Crystal Waveguide with Circular Inclusions of Real Materials by Hugo Enrique Alva-medrano, Héctor Pérez-aguılar, Alejandro Bucio

“…Similarly, the presence of the phenomenon of chaos in the classical transport of particles through billiards with analogous geometries has been investigated. …”
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Dynamic and Structural Performances of a New Sailcraft Concept for Interplanetary Missions by Alessandro Peloni, Daniele Barbera, Susanna Laurenzi, Christian Circi

“…Typical square solar-sail design is characterised by a central hub with four-quadrant sails, conferring to the spacecraft the classical X-configuration. One of the critical aspects related to this architecture is due to the large deformations of both membrane and booms, which leads to a reduction of the performance of the sailcraft in terms of thrust efficiency. …”
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The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics by Yan Gu, Jiao Wang

“…We show that the theory of quantum statistical mechanics is a special model in the framework of the quantum probability theory developed by mathematicians, by extending the characteristic function in the classical probability theory to the quantum probability theory. …”
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Eye Tracking and Semantic Evaluation for Ceramic Teapot Product Modeling by Wei Liu, Ziyan Hu, Yinan Fei, Jiaqi Chen, Changlong Yu

“…It was found that shapes characterized by classic, rounded, and proportional coordination were more in line with consumers’ aesthetic preferences despite the differences in semantic evaluations among consumers of different genders and ages, which led to relatively consistent consumer satisfaction. …”
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U-Model and U-Control Methodology for Nonlinear Dynamic Systems by Weicun Zhang, Quanmin Zhu, Saleh Mobayen, Hao Yan, Ji Qiu, Pritesh Narayan

“…This study presents the fundamental concepts and technical details of a U-model-based control (U-control for short) system design framework, including U-model realisation from classic model sets, control system design procedures, and simulated showcase examples. …”
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