Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis by Ning Zhang, Tahir Khan, Haomin Guo, Shaoshuai Shi, Wei Zhong, Weiwei Zhang

“…Moreover, the analyses of mathematical models adopted for the aforementioned analyses are not the core purpose of this paper. …”
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A New Approach for Solving Weight Functions of Electromagnetic Flowmeters Using Resistive Network Modeling by Shiyi Yin, Bin Li

“…This paper treats the problem within the intuitive physical perspective, and the approach, in which the proportion of the current is considered as the substitute for the weight function with the hypothetic current excitation source, is presented. A simple mathematical modeling of the current is built by means of the resistive network without the redundant assumption, and the strict mathematical derivation for the conventional asymmetric flow in the circular flowmeter is made to verify the feasibility and the correctness of the approach. …”
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Ooi K. T., Shakya P. A Simulation studies of a coupled vane compressor / trans. from Engl. M. A. Fedorova by M. A. Fedorova

“…In this paper, the mathematical models of the novel Coupled Vane compressor (CVC) is formulated to study its operational characteristics and to assess its performance. …”
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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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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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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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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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A Survey of Transportation Problems by Ocotlán Díaz-Parra, Jorge A. Ruiz-Vanoye, Beatriz Bernábe Loranca, Alejandro Fuentes-Penna, Ricardo A. Barrera-Cámara

“…This paper aims at being a guide to understand the different types of transportation problems by presenting a survey of mathematical models and algorithms used to solve different types of transportation modes (ship, plane, train, bus, truck, Motorcycle, Cars, and others) by air, water, space, cables, tubes, and road. …”
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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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Effect of Couple-Stress on Peristaltic Transport of Sutterby Fluid in an Asymmetric Channel by Asmaa Mohammed, Liqaa Zeki Hummady

“…In the presence of rotation and couple–stress, mathematical modeling is developed using constitutive equations based on the model of Sutterby fluid. …”
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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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Optimal control applied to vaccination and treatmentstrategies for various epidemiological models by Holly Gaff, Elsa Schaefer

“…Mathematical models provide a powerful tool for investigating thedynamics and control of infectious diseases, but quantifying theunderlying epidemic structure can be challenging especially for newand under-studied diseases.Variations of standard SIR, SIRS, and SEIR epidemiologicalmodels are considered to determine the sensitivity of these models tovarious parameter values that may not be fully known when the models areused to investigate emerging diseases. …”
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Tumor cells proliferation and migration under the influence of their microenvironment by Avner Friedman, Yangjin Kim

“…It is well known that tumor microenvironment affects tumor growth and metastasis:Tumor cells may proliferate at different rates and migrate indifferent patterns depending on the microenvironment in which they are embedded.There is a huge literature that deals with mathematical models oftumor growth and proliferation, in both the avascular andvascular phases. …”
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Immunotherapy: An Optimal Control Theory Approach by K. Renee Fister, Jennifer Hughes Donnelly

“…We investigate mathematical models for the dynamics between tumor cells, immune-effector cells, and cytokine interleukin-2 (IL-2). …”
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VECTOR DATA DIFFERENCES IDENTIFICATION IN THE THEMATIC PROCESSING OF SPACE IMAGES by A. A. Zalatoi, A. V. Urbanovich

“…Research and development is done by mathematical modeling of the task in MATLAB. The article provides developed method for solving the task and results of its application for finding differences between two vector data packages, obtained from the target information of remote sensing of the Earth, and/or vector layers of digital district map. …”
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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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An optimal adaptive time-stepping scheme for solving reaction-diffusion-chemotaxis systems by Chichia Chiu, Jui-Ling Yu

“…Reaction-diffusion-chemotaxis systems have proven to be fairlyaccurate mathematical models for many pattern formation problems in chemistryand biology. …”
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New Exact Solutions for a Generalized Double Sinh-Gordon Equation by Gabriel Magalakwe, Chaudry Masood Khalique

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Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-BBM Equation by Khadijo Rashid Adem, Chaudry Masood Khalique

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Group Classification of a Generalized Lane-Emden System by Ben Muatjetjeja, Chaudry Masood Khalique, Fazal Mahmood Mahomed

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