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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Load-balanced self-routing switching structure by LI Hui1, WANG Bing-rui1, HUANG Jia-qing3, AN Hui-yao1, LEI Kai1, YI Peng4, WANG Bin-qiang4

“…With simple algorithms and small buffers, the first stage structure transformed the arriving traffic into uniform and the second stage forwarded the data in a self-routing manner to their final destinations. Mathematical analysis and simulations show that it can obtain 100% throughput under admissible traffic pattern, and it achieves 100% throughput under statistically admissible pattern with parallel stacking scheme. …”
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Existence of nodal solutions to some nonlinear boundary value problems for ordinary differential equations of fourth order by Ziyatkhan Aliyev, Yagut Aliyeva

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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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Study on an effective integrated model of Ka-band mobile satellite channel by Juan WEI, Da LIU, Gang-qi TIAN

“…In order to describe the Ka-band mobile satellite communications channel fading features more realitically,a mobile satellite integrated channel model was proposed.The characteristics of the mobile satellite propogation channel were analysed in detail.Weather conditions,as well as multi-path fading and shadowing were taken into account as main influencing factors.On this basis,airspace channel model was built obeying the Gaussian distribution as well ground surface,which obey Rice,Rayleigh and Lognormal joint distribution.Then the integrated channel model was presented considering weather effects on condition that the two parts are independent each other in the influence of the channel characteristics.The mathematical analysis model and simulation model of the new integrated channel model were established respectively.Finally,the BER(bit error rate)performance was analyzed for different weather conditions and shadows.Compared with the theoretical BER,the integrated channel model in satellite mobile communication systems is correct and reasonable.…”
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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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Innovative Design of the Carbon-free Car Fine-tuning Mechanism based on the Trajectory Analysis Method by Liu Yang, Jiang Jiguang, Xie Chun

“…In order to solve the manufacturing error,assembly error affect carbon- free car trajectory problem of inaccurate,through the car trajectory mathematical analysis,the trajectory equation is established. …”
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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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Spatial Analysis on Networks: Towards identifying similarity of routes by Panagiotis Agourogiannis, Dimitris Kavroudakis, Marios Batsaris

“…The paper presents an algorithm for finding optimal paths in spatial networks, through the utilization of open source GIS and mathematical analysis of Networks using Graph Theory as well as using geographical proximity attributes of network nodes. …”
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