Levenberg-Marquardt Algorithm for Mackey-Glass Chaotic Time Series Prediction by Junsheng Zhao, Yongmin Li, Xingjiang Yu, Xingfang Zhang

“…Secondly, we introduce the LMA and discuss how to implement the LMA. Lastly, an illustrative example is carried out to show the prediction efficiency of the LMA. …”
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Optimal investment and reinsurance for the insurer and reinsurer with the joint exponential utility by Wuyuan Jiang, Zechao Miao, Jun Liu

“…Finally, we demonstrate a numerical analysis, and the economic implications of our findings are illustrated.…”
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HIV Vaccine Research: The Challenge and the Way Forward by Hai-Bo Wang, Qiu-Hua Mo, Ze Yang

“…Here we reviewed the brief history of HIV-1 vaccine, analyzed key challenges existing now, and illustrated future research priority/directions for a therapeutic or prophylactic HIV-1 vaccine, with the hope of accelerating the speed of vaccine development. …”
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Epstein-Barr Virus Infection in an Elderly Nonimmunocompromised Adult Successfully Treated with Rituximab by Jacob P. Smeltzer, Matthew T. Howard, Wilson I. Gonsalves, Thomas E. Witzig

“…Despite supportive care, she experienced continued clinical deterioration and was successfully treated with rituximab. This case illustrates the diagnostic challenges of these cases particularly in the elderly who may have age related immunosenescence, the utility of EBV PCR testing, and the clinical efficacy of rituximab in clearing the infected cells.…”
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Synchronization in Tempered Fractional Complex Networks via Auxiliary System Approach by Weiyuan Ma, Changpin Li, Jingwei Deng

“…Numerical simulations are presented to illustrate the effectiveness of the methods.…”
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High-temperature mass spectrometric study and modeling of thermodynamic properties in the La2O3-TiO2 system by Valentina L. Stolyarova, Andrey L. Shilov, Viktor A. Vorozhtcov, Sergey I. Lopatin, Anna V. Fedorova

“…The obtained component activities and the excess Gibbs energy indicate strong negative deviations from the ideal behavior, which are illustrated by the calculated concentration dependence of the relative number of mixed bonds in the system under study.…”
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Probability of Exceeding Damage States in Plates Using BEM by Ernesto Pineda-León, José Manuel Rosales-Juárez, Dante Tolentino, Orlando Susarrey-Huerta

“…A total incremental method is applied to solve the nonlinear boundary integral equations. The approach is illustrated in a plate subjected to incremental load. …”
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Iterative Signal Processing for Mitigation of Analog-to-Digital Converter Clipping Distortion in Multiband OFDMA Receivers by Markus Allén, Toni Levanen, Jaakko Marttila, Mikko Valkama

“…The performance of the proposed method is illustrated with various computer simulations and also verified by concrete laboratory measurements with commercially available analog-to-digital hardware. …”
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Trójwymiarowe modele matematyczne na przykładzie obiektów ze zbiorów Muzeum Uniwersytetu Jagiellońskiego by Krzysztof Maślanka, Jacek Rodzeń, Ewa Wyka

“…Three-dimensional mathematical models illustrated by objects from the collections of the Jagiellonian University Museum Abstract This paper presents examples of mathematical models which have almost passed into oblivion, yet a few decades ago still played a significant role in the teaching of mathematics. …”
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Robust Invariant Set Analysis of Boolean Networks by Bowen Li, Jungang Lou, Yang Liu, Zhen Wang

“…Finally, the proposed methods are illustrated by a reduced model of the lac operon in E. coli.…”
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Calculation-experimental method for determining the initial geometric parameters of rubber-cord shell of rotation by V. S. Korneyev, S. A. Korneyev

“…The practical application of the proposed calculation-experimental method is illustrated by the example of a rubber-cord shell of the balloon type of the model N-50. …”
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Optimal Portfolio Selection of Mean-Variance Utility with Stochastic Interest Rate by Shuang Li, Shican Liu, Yanli Zhou, Yonghong Wu, Xiangyu Ge

“…Finally, the numerical examples provided are used to analyze how stochastic (short-term) interest rates and risk aversion affect the optimal control strategies to illustrate the validity of our results.…”
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Towards Human Capture Movement: Estimation of Anatomical Movements of the Shoulder by B. B. Salmerón-Quiroz, C. F. Mendez-Barrios, J. F. Guerrero-Castellanos, S. A. Rodriguez-Paredes, G. Villegas-Medina

“…Extensive tests of the presented methodology with real world data illustrate the effectiveness of the proposed procedure.…”
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The weighted generalized Atangana-Baleanu fractional derivative in banach spaces- definition and applications by Muneerah AL Nuwairan, Ahmed Gamal Ibrahim

“…Examples are given to illustrate the theoretical results.…”
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Maximum Likelihood Inference for Univariate Delay Differential Equation Models with Multiple Delays by Ahmed A. Mahmoud, Sarat C. Dass, Mohana S. Muthuvalu, Vijanth S. Asirvadam

“…We also develop methodology to compute the information matrix and confidence intervals for all unknown parameters based on the likelihood inferential framework. We present three illustrative examples related to biological systems. …”
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Arbitrary Order Fractional Difference Operators with Discrete Exponential Kernels and Applications by Thabet Abdeljawad, Qasem M. Al-Mdallal, Mohamed A. Hajji

“…Finally, a Lyapunov type inequality for the Riemann type fractional difference boundary value problems of order 2<α≤3 is proved and the ordinary difference Lyapunov inequality then follows as α tends to 2 from right. Illustrative examples are discussed and an application about Sturm-Liouville eigenvalue problem in the sense of this new fractional difference calculus is given.…”
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Pitones Birmanas en Florida del Sur: Soporte Científico para el Manejo de Especies Invasoras by Rebecca G. Harvey, Matthew L. Brien, Michael S. Cherkiss, Michael Dorcas, Mike Rochford, Ray W. Snow, Frank J. Mazzotti, Marianna Domínguez

“…WEC-242-Span, a 10-page illustrated fact sheet by Rebecca G. Harvey, Matthew L. …”
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Microglia and Spinal Cord Synaptic Plasticity in Persistent Pain by Sarah Taves, Temugin Berta, Gang Chen, Ru-Rong Ji

“…In this review, we discuss the recent findings illustrating the importance of microglial mediators in regulating synaptic plasticity of the excitatory and inhibitory pain circuits in the spinal cord, leading to enhanced pain states. …”
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Coexistence of a cross-diffusive West Nile virus model in a heterogenous environment by Abdelrazig K. Tarboush, Jing Ge, Zhigui Lin

“…Our results show that a cross-diffusive WNv model possesses at least one coexistence solution if the basic reproduction number is greater than one and the cross-diffusion rates are small enough, while if the basic reproduction number is less than or equal to one, the model has no positive solution. To illustrate the impact of cross-diffusion and environmental heterogeneity on the transmission of WNv, some numerical simulations are given.…”
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Free-Interface Modal Synthesis Based Substructural Damage Detection Method by Shanghong Chen, Wei Lin, Jiexin Yu, Ai Qi

“…The accuracy of the application of free-interface modal synthesis method is evaluated with different retained modes in substructure, and then the effectiveness of the proposed substructure sensitivity method is illustrated through an 11-storey building under both single- and multidamage cases. …”
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