Series and Connections Among Central Factorial Numbers, Stirling Numbers, Inverse of Vandermonde Matrix, and Normalized Remainders of Maclaurin Series Expansions ^† by Feng Qi

“…This paper presents an extensive investigation into several interrelated topics in mathematical analysis and number theory. The author revisits and builds upon known results regarding the Maclaurin power series expansions for a variety of functions and their normalized remainders, explores connections among central factorial numbers, the Stirling numbers, and specific matrix inverses, and derives several closed-form formulas and inequalities. …”
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Evaluation of Heat Irreversibility in a Thin Film Flow of Couple Stress Fluid on a Moving Belt by Samuel O. Adesanya, Ramosheuw S. Lebelo, K. C. Moloi

“…This article addresses the inherent heat irreversibility in the flow of a couple stress thin film along a moving vertical belt subjected to free and adiabatic surface. Mathematical analysis for the fluid-governing-equations is performed in detail. …”
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Cusped and Smooth Solitons for the Generalized Camassa-Holm Equation on the Nonzero Constant Pedestal by Dong Li, Yongan Xie, Shengqiang Tang

“…Our procedure shows that the generalized Camassa-Holm equation with nonzero constant boundary has cusped and smooth soliton solutions. Mathematical analysis and numerical simulations are provided for these traveling soliton solutions of the generalized Camassa-Holm equation. …”
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Analysis of Wave Solutions of an Adhenovirus-Tumor Cell System by Baba Issa Camara, Houda Mokrani

“…We discuss biological background and mathematical analysis of glioma gene therapy for contributing to cancer treatment. …”
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A Stochastic-Variational Model for Soft Mumford-Shah Segmentation

“…The modeling procedure, mathematical analysis on the existence of optimal solutions, and computational implementation of the new model are explored in detail, and numerical examples of both synthetic and natural images are presented.…”
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On the problems of monitoring the shadow economy by E. V. Baturina

“…The article presents the main provisions of the author’s Concept of monitoring the shadow economy through the economic and mathematical analysis of the shadow cashless cash flow. According to the author’s concept, the object of shadow economy monitoring has been specified, priority areas of shadow economy monitoring have been outlined, the tasks of ensuring economic security of the Russian Federation have been revealed. …”
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Efficient evaluation of member cardinality in cluster-based vehicular cyber-physical systems by Jin Qian, Tao Jing, Yan Huo, Hui Li, Zhen Li

“…Finally, we analyze the proposed method considering the unreliability of the channel state. The mathematical analysis and simulation results demonstrate the performance of the proposed method.…”
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Hopf Bifurcation and Control of Magnetic Bearing System with Uncertain Parameter by Jing Wang, Shaojuan Ma, Peng Hao, Hehui Yuan

“…Secondly, combining mathematical analysis tools and numerical simulations, the Hopf bifurcation of the equivalent model is analyzed. …”
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Finite volume schemes and Lax–Wendroff consistency by Eymard, Robert, Gallouët, Thierry, Herbin, Raphaele, Latché, Jean-Claude

“…We present a (partial) historical summary of the mathematical analysis of finite difference and finite volume methods, paying special attention to the Lax–Richtmyer and Lax–Wendroff theorems. …”
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TAFSIR ALQUR’AN PARADIGMA INTEGRATIF: STUDI ATAS QIRA’AH ALTHANIYAH MUHAMMAD SYAHRUR by Abdul Malik

“…Based on the descriptive analysis approach to this works, this study found out two important things: (1) Syahrur using mathematical analysis to interpret the muhkamat’s verses and science analysis for mutasyabihat’s verses. (2) Hudud is a result of the integrative analysis interpretation based on the linguistic and mathematic analysis in understanding the Quranic verses about the law, while ta’wil ilmi is an understanding toward mutasyabihat verses, like the revelation, which is based on the analysis of natural science cognitive.…”
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Flow, Wind, and Stochastic Connectivity Modeling Infectious Diseases by C. Udriste, I. Tevy, A. S. Rasheed

“…We are interested in mathematical analysis, bringing new results on studied evolutionary models: infection flow together with a differential inclusion, bounds of evolution, dual description of disease evolution, log-optimal and rapid path, epidemic wind (geometric dynamics), stochastic equations of evolution, and stochastic connectivity. …”
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Malaria model with stage-structured mosquitoes by Jia Li

“…The metamorphic stages in the mosquito population arethen included and a simple stage-structured mosquito population model isintroduced, where the mosquito population is divided into two classes, withall three aquatic stages in one class and all adults in the other class, to keepthe model tractable in mathematical analysis. After a brief investigation ofthis simple stage-structured mosquito model, it is incorporated into thebaseline model to formulate a stage-structured malaria model. …”
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Effect of Learning Rate on the Recognition of Images by M. Hamed, A. El Desouky

“…The results are taken for the modern computer of AT 486 type. The mathematical analysis is summarized in order to illustrate the effect of learning rate parameter on the exact discrimination during processing. …”
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Slip Effects on Peristaltic Transport in an Inclined Channel with Mass Transfer and Chemical Reaction by T. Hayat, Humaira Yasmin, S. Asghar, Awatif A. Hendi

“…Long wavelength and low Reynolds number assumption is adopted in the whole mathematical analysis. Expressions for the stream function and longitudinal pressure gradient have been developed. …”
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Global stability of a multi-group model with vaccination age, distributed delay and random perturbation by Jinhu Xu, Yicang Zhou

“…A multi-group epidemic model withdistributed delay and vaccination age has been formulated and studied.Mathematical analysis shows that the global dynamics of the model is determinedby the basic reproduction number $\mathcal{R}_0$:the disease-free equilibrium is globally asymptotically stable if $\mathcal{R}_0\leq1$,and the endemic equilibrium is globally asymptotically stable if $\mathcal{R}_0>1$.Lyapunov functionals are constructed by the non-negative matrix theory and a novel grouping techniqueto establish the global stability.The stochastic perturbation of the model is studied and it is provedthat the endemic equilibrium of the stochastic model is stochastically asymptotically stablein the large under certain conditions.…”
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Waves due to initial disturbances at the inertial surface in a stratified fluid of finite depth by Prity Ghosh, Uma Basu, B. N. Mandal

“…The techniques of Laplace transform in time and either Green's integral theorem or Fourier transform have been utilized in the mathematical analysis to obtain the form of the inertial surface in terms of an integral. …”
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Coupling Between Separate Phases of Coaxial Double Circuit Transmission Lines by M. Hamed

“…The concentric phases are considered. The mathematical analysis for voltage and current is presented. …”
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A Model for Evolution of Investors Behavior in Stock Market Based on Reinforcement Learning in Network by Xiaqun Liu, Yaming Zhuang, Jinsheng Li

“…Due to the heterogeneity of learning characteristics of bounded rational investors in investment decisions, we consider, respectively, the evolution mechanism of individual investors and institutional investors on the complex network theory and reinforcement learning theory. We perform mathematical analysis and simulation to further explain the evolution characteristics of investors behavior. …”
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Thermal Decomposition Kinetics of Ni(II) Chelates of Substituted Chalcones by K. G. Mallikarjun

“…The thermal decomposition of Ni(II) complexes of 3-(phenyl)-1-(2’-hydroxy-naphthyl)-2-propen-1-one (PHPO), 3-(4-chlorophenyl)-1-(2’-hydroxy-naphthyl)-2-propen-1-one(CPHPO), 3-(4-methoxyphenyl)-1-(2’-hydroxynapthyl)-2-propen-1-one (MPHPO), 3-(3,4-dimethoxyphenyl)-1-(2’-hydroxynaphthyl)-2-propen-1-one(DMPHPO) was studied by thermogravimetry. Mathematical analysis of the data has allowed us to determine various parameters using Freeman-Carroll equation, the integral method using the coats-Redfern equation and the approximation method using the Horowitz-Metzger equation. …”
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Non-cooperative inventory games for defective items and quantity discounts using strategic complementarity by Rubono Setiawan

“…In this paper, the mathematical analysis for obtaining the equilibrium of the inventory games under strategic complementarities, the existence of defective items, and quantity discounts have been analyzed. …”
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