Influence of Concrete Creep on the Bending of a Prestressed Bridge Beam by Petr P. Gaidzhurov, Elvira R. Iskhakova, Nina A. Saveleva

“…Moreover, there are no mechanic-mathematical models of hereditary type oriented to the finite-element method.The concept of modelling of long-term deformation of reinforced concrete structures in a three-dimensional statement, based on the use of the integral deformation modulus of concrete, does not allow one to carry out designing considering the technological prehistory. …”
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Adaptive coverage control for multi-USV system in complex environment with unknown obstacles by Yao Yao, Jun-Hua Cao, Yi Guo, Zhun Fan, Bing Li, Biao Xu, Ke Li

“…The coverage goal, which is to cover a given search domain using multiple mobile sensors so that each point is surveyed until a certain preset level is achieved, is formulated in a mathematically precise problem statement. The adaptive control law is presented which enables multi-USV to navigate in a complex environment in the presence of unknown obstacles and guarantees that a fully connected multi-USV system attains the coverage goal. …”
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Self-Organized Temporal Criticality: Bottom-Up Resilience versus Top-Down Vulnerability by Korosh Mahmoodi, Bruce J. West, Paolo Grigolini

“…We propose this theoretical model to contribute to the mathematical foundation of theoretical sociology illustrated in 1901 by Pareto to explain the rise and fall of elites.…”
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Protocols for translocation processes of flexible polymers through a pore using LAMMPS by Vrinda Garg, Rejoy Mathew, Arindam Chatterjee, Surya K. Ghosh

“…This protocol has potential applications in developing mathematical models for DNA sequencing, controlled drug delivery, and cellular transport processes.For complete details on the use and execution of this protocol, please refer to Garg et al.1 : Publisher’s note: Undertaking any experimental protocol requires adherence to local institutional guidelines for laboratory safety and ethics.…”
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Practical aspects of forecasting the company’s financial performance by V. V. Kookueva, A. A. Aliev, R. I. Khavich

“…Based on the combined application of various economic and mathematical methods, the forecasting method has been improved, which makes it possible to reduce the forecast error, which in turn allows us making more accurate financial decisions.…”
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Digital model of a pseudo-random number generator based on a continuous chaotic system by Y. A. Drybin, S. V. Sadau, V. S. Sadau

“…On the example of the Lorentz system, the analysis of the law of motion of a chaotic system, linearized in the vicinity of points of stable and unstable equilibrium, is carried out, on the basis of which the parameters of the mathematical model of the generator of pseudo-random numbers are selected. …”
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The Effect of Gaussian Blurring on the Extraction of Peaks and Pits from Digital Elevation Models by A. Pathmanabhan, S. Dinesh

“…In this paper, the effect of Gaussian blurring on the extraction of peaks and pits from digital elevation models (DEMs) is studied. First, a mathematical morphological-based algorithm to extract peaks and pits from DEMs is developed. …”
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Analysis of Naturally Occurring Radioactive Material (NORM) in shifting earth layers in Piyungan, Bantul by Iqbal Nurrahim, Andang Widi Harto, Yohannes Sardjono, Isman Mulyadi Triatmoko, Zuhdi Ismail, Gede Sutresna Wijaya

“…This study advances current methodologies by refining radon data analysis and employing mathematical models to further elucidate this relationship. …”
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Measuring. Monitoring. Management. Control by Yu.M. Scryabin

“…Materials and methods. A mathematical model of the operation of the electrostatic location system was used to analyze the error. …”

Development of axisymmetric shell model for creep deformation analysis of reactor pressure vessel lower head by Jang Min Park, Kukhee Lim

“…Particularly, this study provides details of the mathematical formulation, which were lacking in previous studies. …”
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Robust localization using geographic information in bistatic sonar by Kwang Hee Lee, Eui Cheol Jeong, Seongil Kim, Dong Seog Han

“…The target estimation error was analyzed mathematically in terms of the mentioned errors. An improved localization is proposed using the accurate positions of objects in the sea, which can compensate for the errors in the source position, receiver position, and sound speed. …”
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Analytical Solution of Tidal Loading Effect in a Submarine Leaky Confined Aquifer System by Zongzhong Song, Hailong Li, Qian Ma, Chunmiao Zheng, Jiu Jimmy Jiao, Shaohong Li

“…A one-dimensional mathematical model is established to describe the problem, and the analytical solution is derived. …”
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Theoretical Vibration Analysis Regarding Excitation due to Elliptical Shaft Journals in Sleeve Bearings of Electrical Motors by Ulrich Werner

“…The solution of the linear differential equation system leads to the mathematical description of the movement of the rotor mass, the shaft journals, and the sleeve bearing housings. …”
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Nonlinear Dynamics and Chaos in Systems with Discontinuous Support by Sandor Divenyi, Marcelo Amorim Savi, Luiz Fernando Penna Franca, Hans Ingo Weber

“…Since the time scale of this transition is much smaller than the scale of the individual modes dynamics, its mathematical modeling can be lead as non-smooth. This contribution uses a smoothened switch model to analyze non-smooth systems. …”
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Free Vibrations with Large Amplitude of Axially Loaded Beams on an Elastic Foundation Using the Adomian Modified Decomposition Method by Desmond Adair, Askar Ibrayev, Alima Tazabekova, Jong R. Kim

“…The AMDM allows the governing equation to become a recursive algebraic equation, and, after some additional simple mathematical operations, the equations can be cast as an eigenvector problem whose solution results in the calculation of natural frequencies and corresponding closed-form series solution of the mode shapes. …”
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Cournot–Bertrand Duopoly Model: Dynamic Analysis Based on a Computed Cost by S. S. Askar, Ahmed M. Alshamrani

“…In this paper, some mathematical properties and dynamic investigations of a Cournot–Bertrand duopoly game using a computed nonlinear cost are studied. …”
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Analysis of the state of the gas market in the context of the aggravation of the Ukrainian crisis by E. A. Rechkina, A. M. Terekhov

“…Based on the results of the study, a development forecast of the natural gas market was made founded on the constructed economic and mathematical model, which showed an increase in prices in the next few months. …”
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Complexity: Frontiers in Data-Driven Methods for Understanding, Prediction, and Control of Complex Systems 2022 on the Development of Information Theoretic Model Selection Criteria... by Andrea Murari, Michele Lungaroni, Riccardo Rossi, Luca Spolladore, Michela Gelfusa

“…It can be argued that the identification of sound mathematical models is the ultimate goal of any scientific endeavour. …”
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Intra-Skip in Inter-Frame Coding of H.264/AVC by Hui Su

“…Aiming at intra-skip, this paper proposes a novel mathematical model for intra-skip in inter-frame coding to alleviate the complexity of the process; the model provides remarkable performance increment by cutting down encoding time while accompanying very minor bitrate increase. …”
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Newsboy problem with outsourcing, limited capacity and resalable return by Arezoo Khazaei, Parvaneh Samouei

“…In this article has tried, in order to make the problem more in line with the real world some limitations during production, such as outsourcing mode, capacity limit and returned goods, have been added to the problem.Methodology: This research is based on library studies and the development of mathematical modeling.Findings: In the newsboy problem, there are important parameters such as outsourcing, capacity constraints and product referral which in this study, the effect of each of these parameters on profitability has been evaluated.Originality/Value: Development of the newsboy problem in terms of outsourcing and returned products and capacity constraints.…”
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