The Role of Numerical Methods in the Sensitivity Analysis of a Density Parameter in a Passivation Rate Interaction by EN Ekaka-a, EO Chukwuocha, NM Nafo

“…The mathematical modelling of physiochemical interaction in the framework of industrial and environmental physics which relies on an initial value problem is defined by a first order ordinary differential equation. …”
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Application of evolutionary games to modeling carcinogenesis by Andrzej Swierniak, Michal Krzeslak

“…We review a quite large volume of literature concerning mathematical modelling of processes related to carcinogenesis and the growth of cancer cell populations based on the theory of evolutionary games. …”
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Crank-Nicolson Fully Discrete H1-Galerkin Mixed Finite Element Approximation of One Nonlinear Integrodifferential Model by Fengxin Chen

“…We consider a fully discrete H1-Galerkin mixed finite element approximation of one nonlinear integrodifferential model which often arises in mathematical modeling of the process of a magnetic field penetrating into a substance. …”
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Effective Utilization of Data for Predicting COVID-19 Dynamics: An Exploration through Machine Learning Models by Dmytro Chumachenko, Tetiana Dudkina, Sergiy Yakovlev, Tetyana Chumachenko

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TWO APPROACHES TO CALCULATION OF SPLIT PHASE DANCING OF OVERHEAD ELECTRICAL TRANSMISSION LINE by I. I. Sergey, P. I. Klimkovich

“…The paper shows two approaches to mathematical modeling of split phase dancing of overhead electrical transmission line. …”
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Sensitivity Analysis of a Physiochemical Interaction Model Undergoing Changes in the Initial Condition and Duration of Experiment Time by EN Ekaka-a, EO Chukwuocha, NM Nafo

“…The mathematical modelling of physiochemical interactions in the framework of industrial and environmental physics usually relies on an initial value problem which is described by a single first order ordinary differential equation. …”
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Torsional Vibrations at Guide-Vane Shaft of Pump–Turbine Model by Andrej Predin

“…Experimentally determined flow velocities at the impeller exit are given. The mathematical models for theoretical torsional vibration prediction formulated using linear and nonlinear differential equations are presented. …”
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An example from the world of tsetse flies by John Hargrove

“…More serious objections arise when mathematical models make no attempt to address the real world in such a way that they can be tested. …”
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Optimisation of parameters of vibration control process by applying rheological dynamic model by Rimantas Didžgalvis, Antanas Sudintas, Irena Tiknevičienė

“…The summarised dynamic and mathematical models of the vibration cont­rol are presented. …”
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Sensitivity Analysis of a Physiochemical Interaction Model Undergoing Changes in the Initial Condition and Duration of Experiment Time by EN Ekaka-a, EO Chukwuocha, NM Nafo

“…The mathematical modelling of physiochemical interactions in the framework of industrial and environmental physics usually relies on an initial value problem which is described by a single first order ordinary differential equation. …”
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Parameters and environmental consequences of catastrophic fires in Ukraine: modeling, quantitative estimates by L. F. Chernogor, A. N. Nekos, G. V. Titenko, L. L. Chornohor

“…Calculations and mathematical modeling showed that the consequences of the burning of forests and grasslands in Ukraine in 2024 were catastrophic. …”
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Towards a new spatial representation of bone remodeling by Jason M. Graham, Bruce P. Ayati, Prem S. Ramakrishnan, James A. Martin

“…Computational and mathematical modeling can aid in therapy and treatment as well as understanding fundamental biology. …”
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A Data Mining-Based Model for Evaluating Tennis Players’ Training Movements by Hang Chen

“…This paper uses data mining technology to mathematically model the training movements of tennis players, establish a three-dimensional data information database of athletes utilizing depth imaging, analyze the data with data mining algorithms, and derive the results after comparative evaluation and analysis with a database of movement characteristics of tennis dribblers. …”
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Long-term consequences of the Chornobyl disaster for aquatic ecosystems: A retrospective analysis and prognosis by R. Makhinko

“…The methodology included retrospective data analysis, field research, laboratory experiments, and mathematical modelling. The retrospective analysis covered historical data from 1986; field studies included sampling of water, sediments, and biota; laboratory experiments focused on studying the effects of radiation on aquatic organisms; mathematical modelling allowed predicting long-term trends. …”
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Mechanistic Multidimensional Modeling of Forced Convection Boiling Heat Transfer by Michael Z. Podowski, Raf M. Podowski

“…The objective of this paper is to present mathematical modeling concepts behind the development of mechanistic multidimensional models of low-quality forced convection boiling, including the mechanisms leading to temperature excursion and the onset of CHF.…”
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Explicit Expression for Arbitrary Positive Integer Powers of Special Sparse Matrices by Mohammad Beiranvand, Mojtaba Ghasemi Kamalvand

“…Sparse matrices appear frequently in mathematical models. In this paper, we firstly present a general expression for the entries of the r th r∈ℕ power of a certain n-square sparse matrix, in terms of the Chebyshev polynomials of the second kind. …”
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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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Hidden Attractors in Chaotic Systems with Nonlinear Functions by Safara Bibi, Juan Hugo García López, Rider Jaimes-reategui, Hafiz Muhammad Zeeshan, Guillermo Huerta-cuellar

“…These attractors can arise in various mathematical models, such as the Lorenz system, Rössler system, or Chua's circuit. …”
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The influence of the time of single photon transmission of information on the reliability of its reception in a quantum cryptographic communication channel by A. M. Timofeev

“…According to the results of mathematical modeling, the dependence of the reliability of the received data on the average time of single photon transmission of information was established. …”
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Accuracy analysis of different components evaluation of time series by Vitalija Klokova

“… Mathematical models for decomposing and forecasting of time series are analysed in this paper. …”
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