Equilibrium Points and Related Periodic Motions in the Restricted Three-Body Problem with Angular Velocity and Radiation Effects by E. A. Perdios, V. S. Kalantonis, A. E. Perdiou, A. A. Nikaki

“…We find that this problem admits the well-known five planar equilibria of the classical problem with the difference that the corresponding collinear points may be stable depending on the parameters of the problem. …”
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Protecting Medical Images Using a Zero-Watermarking Approach Based on Fractional Racah Moments by Karim El-Khanchouli, Hanaa Mansouri, Nawal El Ghouate, Hicham Karmouni, Nour-Eddine Joudar, Mhamed Sayyouri, S. S. Askar, Mohamed Abouhawwash

“…The FrROMs are derived from a matrix of fractional Racah orthogonal polynomials (FrROPs), which in turn are obtained from the matrix of classical Racah polynomials (ROPs) using the spectral decomposition theorem. …”
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Determination of the deformation modulus of binary composite using artificial neural network by E. S. Klimanova

“…Thus, it has been proven efficiency proposing method using trained artificial neural network in compare classical regression equation for determination of the deformation modulus of the binary composite. …”
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A Lagrangian particle model for one-dimensional transient pipe flow with moving boundary by Yuejin Cai, Jianguo Wei, Qingzhi Hou, Huaicheng Fan, Arris S. Tijsseling

“…To test the shock capturing ability of the developed model, the classical water hammer problem is also simulated and good agreement with the theoretical solution is obtained. …”
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A Novel Dual-Band “C+O” Structure Antenna by Tangyao Xie, Jianguo Yu, Ziheng Lin, Yao Li, Guodong Zhang, Zhen Yu

“…The antenna is based on the structural characteristics of the classic monopole antenna. It is a vertical quarter-wavelength antenna. …”
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Exact Partial Solution in a Form of Convex Tetragons Interacting According to the Arbitrary Law for Four Bodies by Yulianna V. Perepelkina

“…On the basis of the methodology of classical works the equations of motion in Raus - Lyapunov variables in the general problem of four bodies interacting according to a completely arbitrary law are derived, as it took place when Laplace proved the existence of exact partial triangular solutions of the general problem of three bodies with arbitrary masses. …”
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A Scalable Ensemble Learning-Based Model for Optimal Placement of Circuit Breaker and Sectionalizer in Power Distribution Systems with the Aim of Reliability Improvement by Mehrdad Ebrahimi, Mohammad Rastegar

“…However, existing mathematical optimization algorithms, such as classic and metaheuristic methods, cannot solve the optimal switch placement problem for large-scale systems. …”
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First-order phase transition of the Schwinger model with a quantum computer by Takis Angelides, Pranay Naredi, Arianna Crippa, Karl Jansen, Stefan Kühn, Ivano Tavernelli, Derek S. Wang

“…The states obtained by the classical simulation are then prepared on the IBM’s superconducting quantum hardware. …”
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Design of a new hydrokinetic turbine simulation model based on the extended power coefficient concept by Manuel Rico-Secades, Antonio Javier Calleja-Rodríguez, Aitor Fernández-Jiménez, Eduardo Álvarez-Álvarez, Fher Said Macedo-Garcia, Jaime Arau-Roffiel

“…The operation of hydrokinetic turbines under blockage conditions causes situations where the classical power coefficient does not adequately explain their energy extraction, often exceeding Betz’s limit, as it is referred only to the kinetic energy of the water flow in open field or without boundaries. …”
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Two New Types of Rings Defined by Using a Translational Invariant Fuzzy Subset by Manal Ghanem

“…The interest of these results is that most of them are mirrors of corresponding results of presimplifiable and associate rings in classical ring theory.…”
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Nonlocal boundary value problem in terms of flow for Sturm-Liouville operator in differential and difference statements by Dovlet M. Dovletov

“…Sturm-Liouville operator with second kind of nonlocal boundary value conditions is considered. For the classical solution, a priori estimate is established and unique existence is proved. …”
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Oscillation Criteria Enhanced for Advanced Half-Linear Dynamic Equations by Taher S. Hassan, Elmetwally M. Elabbasy, Naveed Iqbal, Akbar Ali, Khudhayr A. Rashedi, Amir Abdel Menaem

“…These findings improve and extend recently established criteria for the same equation by several authors as well as encompass the existing classical criteria for associated ordinary dynamic equations. …”
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Adaptive integration algorithm for stiff ordinary differential equations by Raimondas Čiegis, Olga Suboč

“…It is proved that the classical stiffness definition is sufficient for explicit schemes. …”
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Stability of a Logarithmic Functional Equation in Distributions on a Restricted Domain by Jaeyoung Chung, Prasanna K. Sahoo

“…Let be the set of real numbers, , , and . As classical and versions of the Hyers-Ulam stability of the logarithmic type functional equation in a restricted domain, we consider the following inequalities: , and in the sectors . …”
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Determinant inequalities for sieved ultraspherical polynomials by J. Bustoz, I. S. Pyung

“…Inequalities of this type have since been proved for both classical and nonclassical orthogonal polynomials. …”
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Certain Sequence Spaces over the Non-Newtonian Complex Field by Sebiha Tekin, Feyzi Başar

“…It is known from functional analysis that in classical calculus, the sets , , , and of all bounded, convergent, null and -absolutely summable sequences are Banach spaces with their natural norms and they are complete according to the metric reduced from their norm, where . …”
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Some Notes of the Fractional Integral and Derivatives and Its Applications by Fen Qin, Fuyi Xu, Huizeng Qin

“…Not only is it consistent with the classical results but also the representations of the fractional derivative and integrals are obtained for x−a−k, x−a−klnpx−a, x−a−kfx, and x−a−klnpx−afx, where k,p=1,2,…,fx is the analytic function.…”
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New Periodic Solutions for the Singular Hamiltonian System by Yi Liao

“…By use of the Cerami-Palais-Smale condition, we generalize the classical Weierstrass minimizing theorem to the singular case by allowing functions which attain infinity at some values. …”
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Lire : écrire by Philippe Dufour

“…In his Correspondence Flaubert answers that it is an indispensable task, a study of different styles allowing one to create one’s own poetics, and most importantly, keep oneself from being influenced by rhetoric of the present time. Flaubert reads the classics to find a modern way of writing.…”
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Normal Form Analysis of Hopf Bifurcation Exemplified by Duffing’s Equation by A.Y.T. Leung, Zhang Qichang, Chen Yushu

“…The results obtained by this method are the same as those obtained by the classical one. The present method is much simpler and can easily be implemented: that is, given the coefficients of the governing equations, the response is obtained directly by substitution.…”
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