Reliability Analysis of Random Fuzzy Unrepairable Systems by Ying Liu, Xiaozhong Li, Jianbin Li

“…Then we establish the fundamental mathematical models of random fuzzy unrepairable systems, including series systems, parallel systems, series-parallel systems, parallel-series systems, and cold standby systems with absolutely reliable conversion switches. …”
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A Beginner's Guide to Water Management—Water Clarity by Florida LAKEWATCH, Mark Hoyer

“…Topics range from how we measure water clarity, what affects it, the relationship between water clarity and biological productivity, and techniques used for managing water clarity in lakes. Mathematical models are introduced as a way of predicting water clarity in lakes. …”
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Advancing dental biofilm models: the integral role of pH in predicting S. mutans colonization by Jay S. Sangha, Valentina Gogulancea, Thomas P. Curtis, Nicholas S. Jakubovics, Paul Barrett, Aline Metris, Irina D. Ofiţeru

“…ABSTRACT Mathematical models can provide insights into complex interactions and dynamics within microbial communities to complement and extend experimental laboratory approaches. …”
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Controllability and Observability Criteria for Linear Piecewise Constant Impulsive Systems by Hong Shi, Guangming Xie

“…Impulsive differential systems are an important class of mathematical models for many practical systems in physics, chemistry, biology, engineering, and information science that exhibit impulsive dynamical behaviors due to abrupt changes at certain instants during the dynamical processes. …”
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Simulation and Evaluation of Sponge City Reconstruction Effect in Urban Drainage Residential Area by YU Haijun, FAN Yuyan, CAO Daling, CHEN Wei

“…Drainage effect evaluation is a necessary links in the construction of Sponge City,and urban rainfall mathematical models are important supporting tools for the evaluation work.Taking a residential area in Beijing City as an example,a refined drainage model of the study area was constructed based on a coupled 1D and 2D hydrodynamic model for urban rainstorms,and the drainage situation before and after the sponge transformation of the drainage system were simulated and analyzed.The results showed that the constructed model can well reflect the real drainage situation of the community,and the proposed drainage system upgrade plan can effectively improve the drainage capacity in the area,and the overflow and submergence were significantly reduced.The research can provide some technical reference for the simulation of the hydraulic condition of drainage community and the construction and management of Sponge City.…”
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Numerical Treatment of a Modified MacCormack Scheme in a Nondimensional Form of the Water Quality Models in a Nonuniform Flow Stream by Nopparat Pochai

“…Two mathematical models are used to simulate water quality in a nonuniform flow stream. …”
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Stepwise fuzzy correction of the algorithm filters of random signals by A. A. Lobaty, A. S. Radkevich

“…It is assumed that the gauges are discrete and are described, like the original process assessed, by a discrete mathematical model in the form of difference equations. …”
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FORMALIZATION OF THE PROBLEM OF SELECTION OF AUTOMATED SYSTEM by A. V. Petukhov

“…Qualitative assessment is based on the theory of choice and decision making, which examines the mathematical models of this type of activity. In view of the fact that in the problem under consideration, many alternatives, which are automated systems, are known, it can be related to the choice problem. …”
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Influence of Turbulence Model for Wind Turbine Simulation in Low Reynolds Number by Masami Suzuki

“…In designing a wind turbine, the validation of the mathematical model’s result is normally carried out by comparison with wind tunnel experiment data. …”
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Kinetics and Equilibrium Studies on the Sorption of Manganese(II) and Nickel(II) onto Kaolinite and Bentonite by B. Sathyanarayana, K. Seshaiah

“…Freundlich and Langmuir's mathematical models were used to describe batch adsorption. …”
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MULTI-OBJECTIVE PARAMETER OPTIMIZATION OF SYNCHRONIZER BASED ON IMPROVED PARTICLE SWARM OPTIMIZATION ALGORITHM by WANG ChunHua, GUO ZhiWei

“…To meet the requirements of shorter synchronization time and higher life for the synchronizer in transmission, mathematical models aiming at synchronization time and synchronizer life were established separately based on Newton’s second law and adhesive wear theory, M-B fractal contact model. …”
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Design Analysis and Implementation of a Passive Expansion Spherical Robot by Shao Pai, Qin Jianjun, Cao Yu, Liu Xingjie, Chen Haonan

“…A linear expanded rack-and-pinion mechanism is introduced to design a spherical robot with compact structure and multiple motion modes. Mathematical models are established to perform kinematic and dynamic analysis of spherical robot mechanisms, the simulation results of rolling and obstacle crossing are compared with the theoretical values to verify the correctness of kinematics and dynamics. …”
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On Solitary Wave Solutions for the Camassa-Holm and the Rosenau-RLW-Kawahara Equations with the Dual-Power Law Nonlinearities by Nattakorn Sukantamala, Supawan Nanta

“…The nonlinear wave equation is a significant concern to describe wave behavior and structures. Various mathematical models related to the wave phenomenon have been introduced and extensively being studied due to the complexity of wave behaviors. …”
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A Novel Approach to Numerical Modeling of Metabolic System: Investigation of Chaotic Behavior in Diabetes Mellitus by Payam Sadeghi Shabestari, Karthikeyan Rajagopal, Bahareh Safarbali, Sajad Jafari, Prakash Duraisamy

“…Although many mathematical models have been presented for glucose and insulin interaction, none of these models can describe diabetes disease completely. …”
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Review on Mathematical and Mechanical Models of the Vocal Cord by L. Cveticanin

“…The corresponding mathematical models are the systems of coupled second-order differential equations which describe the vibrations of the symmetric and asymmetric vocal folds. …”
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AMTD:a way of adaptive moving target defense by Danjun LIU, Guilin CAI, Baosheng WANG

“…Moving target defense is a new way to change the asymmetry state between attack and defense,by dynamically moving target’s attacking surface.Frequency conversion of MTD is of great importance for the weighing between usability,security and defense cost.Nowadays,however,frequency conversion is usually determined by manager’s experience,which cannot create a balance between usability and security cost for the lack of theory basis.An adaptive moving target defense framework(AMTD)was proposed.AMTD can maximize system security at the lowest cost while ensuring that the system is available.The adaptability of AMTD has two modes.Firstly,the defense mode,it contains an adaptive conversion strategy to provide reacting defense triggered by security alerts and active defense triggered by timer expiration events.The other mode is the frequency conversion,which obtain the optimal conversion frequency by establishing mathematical models.Four series of simulation experiments were taken to verify the effectiveness of the solution.…”
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Hidden Markov models and neural networks in formation of investment portfolio by P.A. Novikov, R.R. Valiev

“…Common mathematical models are used by investors for prediction of the future state of the financial market lose if the macroeconomic situation gets worse. …”
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ANALYSIS OF BULK TEMPERATURE FIELD OF CONSTANTLY NO CLEARANCE PRECISION STEEL BALL TRANSMISSION by HONG Cheng, AN ZiJun, XIA JingQi, WANG Ge

“…On the basis of heat transfer theory,the bulk temperature field of constantly no clearance precision steel ball transmission is studied and the formulas of relative sliding velocity,maximum contact stress,and friction coefficient are derived.Meantime,the mathematical models of heat flux of engagement pairs and convention heat transfer coefficient of each region are established. …”
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Higher-order topology for collective motions by Zijie Sun, Tianjiang Hu

“…Abstract Collective motions are prevalent in various natural groups, such as ant colonies, bird flocks, fish schools and mammal herds. Physical or mathematical models have been developed to formalize and/or regularize these collective behaviors. …”
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Unstable Modes and Order Parameters of Bistable Signaling Pathways at Saddle-Node Bifurcations: A Theoretical Study Based on Synergetics by Till D. Frank

“…Mathematical modeling has become an indispensable part of systems biology which is a discipline that has become increasingly popular in recent years. …”
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