Free Vibration Behavior of a Gradient Elastic Beam with Varying Cross Section by Mustafa Özgür Yayli

“…Comparison with the classical elasticity theory is also performed to verify the present study.…”
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Improved large data spectral clustering algorithm based on sampling subspace constraint by Ru NIE

“…On the basis of analyzing the equivalent function of the objective function of classical spectral clustering algorithm and the weighted kernel k-means objective function,an improved large-scale data spectrum clustring algorithm based on sampling subspace constraint was designed,the weighted kernel k-means iterative optimization was used to avoid the large resource consumption of Laplacian matrix feature decomposition,and by using data sampling and constraining the cluster center to the subspace generated by the sampling points,the use of all kernel matrices was avoided,thereby reducing the time-space complexity of classical algorithms.Theoretical analysis and experimental results show that the improved algorithm can greatly improve the clustering efficiency on the basis of maintaining similar clustering accuracy with the classic algorithm and verify the effectiveness of the proposed algorithm.…”
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Testing for Main Random Effects in Two-Way Random and Mixed Effects Models: Modifying the Statistic by Trent Gaugler, Michael G. Akritas

“…The proposed test procedure performs well in all settings and is comparable to the classical F-test when the classical assumptions are met. …”
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Relativistic Spinning Particle without Grassmann Variables and the Dirac Equation by A. A. Deriglazov

“…Classical equations for the spin tensor are the same as those of the Barut-Zanghi model of spinning particle.…”
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Inflammatory Mediators in Induced Sputum and Airway Hyperresponsiveness in Cough Variant Asthma during Long-Term Inhaled Corticosteroid Treatment by Meixuan Liu, Kaixiong Liu, Ning Zhu, Jingwen Xia, Xiaodong Chen

“…Patients with CVA (𝑁=35) and classic asthma (𝑁=26) and healthy subjects (𝑁=24) were recruited into this study. …”
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Weighted norm inequalities and indices by Joaquim Martín, Mario Milman

“…We extend and simplify several classical results on weighted norm inequalities for classical operators acting on rearrangement invariant spaces using the theory of indices. …”
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Relations among Sums of Reciprocal Powers—Part II by José María Amigó

“…Some formulas relating the classical sums of reciprocal powers are derived in a compact way by using generating functions. …”
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USE OF RAPID METHODS FOR TESTING MEAT, VISCERA AND ANIMAL PRODUCTS by A. V. Tyunev, M. V. Alekseyeva

“…All the used rapid methods have demonstrated high accuracy and specificity, they allow to shorten test time, and their results were confirmed by classical microbiological tests. 100 positive confirmed results were obtained from testing beef samples (10.8% of the total number of tests performed). 53 positive results were obtained in rapid test (confirmed by classical test), which makes 20.37% of the total number of tests performed. 56 positive confirmed results were obtained from testing cattle viscera using classical tests (12.6%). 13 samples tested positive using rapid test (13%). …”
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Complex Reaction Kinetics in Chemistry: A Unified Picture Suggested by Mechanics in Physics by Elena Agliari, Adriano Barra, Giulio Landolfi, Sara Murciano, Sarah Perrone

“…Here, we analyze the formal analogy between the mathematical backbone of (classical) reaction kinetics in Chemistry and that of (classical) mechanics in Physics. …”
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Manhattan Distance-based K-Medoids Clustering Improvement for Diagnosing Diabetic Disease by Solikhun, Muhammad Rahmansyah Siregar, Lise Pujiastuti, Mochamad Wahyudi

“…The researchers found that both Quantum K-Medoid and Classic K-Medoid achieved the same clustering accuracy of 91%. …”
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Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and Hyperideals by Ganeshsree Selvachandran, Abdul Razak Salleh

“…We apply the classical theory of hyperrings to vague soft sets to derive the concepts of vague soft hyperrings, vague soft hyperideals, and vague soft hyperring homomorphism. …”
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High-Precision Continuation of Periodic Orbits by Ángeles Dena, Marcos Rodríguez, Sergio Serrano, Roberto Barrio

“…We illustrate the method with two important classical Hamiltonian problems.…”
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SL 2(ℝ) symmetries of SymTFT and non-invertible U(1) symmetries of Maxwell theory by Azeem Hasan, Shani Meynet, Daniele Migliorati

“…In the process, we show that the classical U(1) symmetry, corresponding to the stabilizer of SL 2(ℝ), can be restored as a non-invertible one, by means of an infinite series of discrete gauging. …”
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Evaluating Fractional PID Control in a Nonlinear MIMO Model of a Hydroelectric Power Station by O. A. Rosas-Jaimes, G. A. Munoz-Hernandez, G. Mino-Aguilar, J. Castaneda-Camacho, C. A. Gracios-Marin

“…In order to assess the behavior of this controlled system, a model of such nonlinear plant is regulated through a classical PID by classical linearization of its set points, and then a pseudo-derivative part is substituted into a Fractional PID. …”
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Analytic Formula for the Vibration and Sound Radiation of a Nonlinear Duct by Yiu-Yin Lee

“…The development of the analytic formula is based on the classical nonlinear thin plate theory and the three-dimensional wave equation. …”
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Hybrid Tree Tensor Networks for Quantum Simulation by Julian Schuhmacher, Marco Ballarin, Alberto Baiardi, Giuseppe Magnifico, Francesco Tacchino, Simone Montangero, Ivano Tavernelli

“…In both cases, we successfully demonstrate that hTTNs can improve upon classical equivalents with equal bond dimension in the classical part.…”
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MORALS, JUSTICE AND POLITICAL PHILOSOPHY by Derda Küçükalp

“…There is a strong bond between morals and politics in classical political philosophy.Hence, classical political philosophy has a strong understanding of justice contrary to modern political philosophy.…”
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Learner support in a distributed learning environment:the use of WWW-based teachware packages by Christian Langenbach, Freimut Bodendorf

“…Various forms of education and training, based on the classical Computer Based Training (CBT), have become well established within companies and in higher education. …”
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Quantum backreaction effect in optical solitons by Sang-Shin Baak, Friedrich König

“…Optical solitons classically are stationary solutions of the nonlinear Schrödinger equation. …”
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Inertial Memory Effects in Molecular Transport Across Nanoporous Membranes by Slobodanka Galovic, Milena Čukić, Dalibor Chevizovich

“…In examining particle transport through such media, it has been observed that this transport deviates from classical diffusion, as described by Fick’s second law. …”
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