A State-of-the-Art Review on Empirical Data Collection for External Governed Pedestrians Complex Movement by Xiaomeng Shi, Zhirui Ye, Nirajan Shiwakoti, Offer Grembek

“…Although there are several reviews of mathematical simulation models for pedestrian traffic in the existing literature, a detailed review examining the challenges and opportunities on empirical studies on the pedestrians complex movements is limited in the literature. …”
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Evaluation of aluminum tolerance diversity in <i>Avena sativa</i> L. from the VIR collection by I. G. Loskutov, E. V. Blinova, L. Yu. Novikova

“…Reproducibility of the used modification of the method was mathematically proved.Results and discussion. Significant variation in the resistance to the studied stressor was observed among the accessions. …”
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Global and national university rankings: A multivariate analysis by Т. А. Salimova, I. А. Ivanova, Е. А. Sysoeva

“…The current paper presents a system analysis of databases of rating systems and an aggregation of independent evaluations of global and national rankings of HEIs using the methodology of league table analysis based on mathematical apparatus of the voting theory. The dependence of global and national university rankings indicators was investigated using correlation, cluster, factor, regression (linear and polynomial) and dispersion methods of analysis.Results and scientific novelty. …”
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Triaxial Compressive Failure Characteristics and Constitutive Model Study of Jurassic-Cretaceous Weakly Cemented Sandstone by Jinlong Cai, Wei Zou

“…Based on the rock strength theory and Weibull random distribution assumption of rock element strength, the damage variable correction coefficient was introduced when the residual strength was considered. Then, the mathematical expression of the 3D damage statistical constitutive model was established. …”
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Dynamic Response of a Vehicle-Bridge Expansion Joint Coupled System by Lu Zhang, Shaohua Wang, Bing Li

“…In this paper, a dynamic mathematical model of the 2-axle vehicle-modular bridge expansion joint (MBEJ) coupled system is established by introducing a flexible roller tire model. …”
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THE COMPLEX USE OF LOCAL TYPES OF FUEL IN THE POROUS CONSTRUCTION MATERIALS PRODUCTION by N. P. Voronova, B. V. Lesun

“…Also provides new methods of preparation of porous building materials based on aggloporite using local fuels and waste energy on the basis of milled peat, fuel briquettes and wood chips allow to replace expensive imported components that comprise the raw mixtures (coal, anthracite).On the basis of mathematical modeling of cooling in reheat furnaces pusher drive developed a method of engineering calculation mode batch hardening in agglomeration. …”
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An improved meta-heuristic algorithm to optimize the fractional-order controller for an industrial manipulator with a parallelogram structure by Nazila Nikdel

“…Therefore, this article pursues two main objectives: 1) controlling the robotic system by presenting a method based on fractional-order calculus so that it can control the system despite its complexity and non-linearity, 2) presenting the meta-heuristic algorithm "Improved Grey Wolf" to optimize the system response.Methodology: First, the mathematical model of the robot is presented based on Lagrange rules, and then the fractional-order calculus is used to design the controller. …”
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Forecasting of COVID-19 epidemic size in four high hitting nations (USA, Brazil, India and Russia) by Fb-Prophet machine learning model by Gopi Battineni, Nalini Chintalapudi, Francesco Amenta

“…Yet, there is no immediate medicine or vaccination for control this dangerous pandemic and researchers are trying to implement mathematical or time series epidemic models to predict the disease severity with national wide data. …”
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Coupled fracture modes under anti-plane loading by Les P. Pook, F. Berto, A. Campagnolo

“…On the basis of these results, and a mathematical argument, the results suggest that the stress field in the vicinity of a corner point is the sum of two singularities: one due to stress intensity factors and the other due to an as yet undetermined corner point singularity.…”
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Physiology-informed regularisation enables training of universal differential equation systems for biological applications. by Max de Rooij, Balázs Erdős, Natal A W van Riel, Shauna D O'Donovan

“…Systems biology tackles the challenge of understanding the high complexity in the internal regulation of homeostasis in the human body through mathematical modelling. These models can aid in the discovery of disease mechanisms and potential drug targets. …”
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Automatic Implementation of Fuzzy Reasoning Spiking Neural P Systems for Diagnosing Faults in Complex Power Systems by Haina Rong, Kang Yi, Gexiang Zhang, Jianping Dong, Prithwineel Paul, Zhiwei Huang

“…An FRSN P system offers an intuitive illustration based on a strictly mathematical expression, a good fault-tolerant capacity, a good description for the relationships between protective devices and faults, and an understandable diagnosis model-building process. …”
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PEDAGOGICAL ASSISTANCE IN HIGH SCHOOL STUDENTS’ PROFESSIONAL SELF–DETERMINATION by V. N. Kormakova, E. N. Musaelian, D. I. Ruziyeva

“…The solution of the problems and test assumptions have been provided with the help of the following methods: theoretical analysis of philosophical, psychological, sociological and pedagogical works; diagnostics; observation; archival research; taxonomic qualimetric; pilot, ascertaining and educational experiments; methods of mathematical statistics.Results. The research shows a positive change in creativity, reflexivity and values of high school students in experimental groups. …”
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The Impacts of Fairness Concern and Different Business Objectives on the Complexity of Dual-Channel Value Chains by Qiuxiang Li, Yuhao Zhang, Yimin Huang

“…The entropy complexity and dynamic characteristic of the dual-channel system are analyzed through mathematical analysis and numerical simulation, such as local stability, bifurcation, entropy, and chaos. …”
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Determination of Selected Polycyclic Aromatic Compounds in Particulate Matter Samples with Low Mass Loading: An Approach to Test Method Accuracy by Susana García-Alonso, Rosa María Pérez-Pastor, Víctor Archilla-Prat, David Sanz-Rivera, Enrique Rojas-García, Gaizka Aragón-Urrengoetxea, Jesús Javier Rodríguez-Maroto

“…Intermediate precision was estimated by data comparison from two mathematical approaches: normalized difference data and pooled relative deviations. …”
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Optimization Research on the Performance of the RC-DTH Air Hammer Based on Computational Fluid Dynamics by Zihao Liu, Yongjiang Luo, Wenchao He, Rui Tao, Jiangfu He, Yongliang Sun, Hongwei Chen, Qianting Hu

“…To optimize the performance of the RC-DTH air hammer, a mathematical model detailing each phase of the piston’s movement has been constructed in the present work. …”
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Cooperative secure transmission against collusive eavesdroppers in Internet of Things by Xin Fan, Yan Huo

“…In the cases of cooperative jamming and without cooperative jamming, the closed-form expressions of the secrecy outage probability are deduced, and the influence of system parameters on the secrecy outage probability becomes more intuitive through a strict mathematical asymptotic behavior analysis. In addition, considering the energy limitation of Internet of Things devices, we propose a power allocation algorithm to minimize the total transmission power given the security requirements. …”
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A robust multi-objective multi-priodic planning approach to the problem of locating the allocation of organ transplant centers under conditions of uncertainty by Elham Nejati, Mahdi Yousefi Nejad Attari, Asgar Hajibadali

“…On the other hand, due to the rapid growth of the demand for organ transplantation and the lack of resources, the patient's waiting time to complete the transplantation process plays a vital role in the organ transplantation system.Methodology: This study presents a robust bi-objective mathematical model for the location problem of allocating organ transplant centers under uncertainty, which includes the total costs of the organ transplant system as well as the average patient waiting time for organ transplantation, which follows a G/G/m queuing system.Findings: To solve this model, the Non-Dominated Sorting Genetic Algorithm II (NSGA-II) has been used. …”
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Quantification of external disturbance forces in sliding microwire by Fazlar Rahman, M.A. Salam Akanda

“…Analytical assessment is also complex because of multi-physics involvement, nonlinearity of forces, and a lack of suitable mathematical models. Numerical analysis of microstructures is performed in the absence of all disturbance forces, whereas their influences cannot be eliminated during the experiment. …”
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A proportionately increased small and equal batch delivery under consignment stock agreement for a single vendor, multiple buyers supply chain system by Kehinde Adegbola, Abdulrakib Abdulrahman

“…These n shipments are proportionately increased according to the vendor rate of production to each buyer’s demand rate. A mathematical cost function is developed to reduce the overall cost of the integrated supply chain system through the optimal cycle time and the optimal numbers of shipments to be delivered to each buyer. …”
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Correlation of artificial neural network and multi-attribute transformation: a test case to predict the effective porosity of Cretaceous sandstones of the Sembar Formation, southea... by Furqan Aftab, Furqan Aftab, Furqan Aftab, Furqan Aftab, Mohammad Zafar, Muhammad Iqbal Hajana, John H. Shaw

“…Artificial Neural Network’s (ANN’s) have emerged as an effective tool for deriving nonlinear mathematical relationships between seismic attributes and well logs that are theoretically plausible and may prove geologically realistic. …”
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