Relevant bibliographies by topics / Examples of solving physics problems

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Examples of solving physics problems'

Author: Grafiati
Published: 5 June 2025
Last updated: 15 July 2025

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Journal articles on the topic "Examples of solving physics problems"

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Absalyamova, IlmiraI ldarovna. "TEACHING MOLECULAR PHYSICS WITH PROBLEM SOLVING." American Journal of Applied sciences 04, no. 01 (2022): 4–11. http://dx.doi.org/10.37547/tajas/volume04issue01-02.

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This article provides with some of the tasks and goals of molecular physics as a subject and shows several examples of problems solved in molecular physics, and methods for solving them. Here are some ways to solve each problem in several ways.
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Alexandr, Shamshin. "Development and use of the program of automatic problem solving when conducting practical classes in physics at the university." ScienceRise: Pedagogical Education, no. 5 (44) (September 30, 2021): 23–29. https://doi.org/10.15587/2519-4984.2021.241236.

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The creation of a virtual educational environment, consisting of an information space that ensures the availability of unlimited educational material through communication means, a virtual or real communication channel between a student and a teacher, increases the role of self-education, the dominance of learning over teaching. Paraphrasing [1], we can say that physics is owned not by the one who knows the formulas and definitions, but by the one who, with their help, can solve physical problems (PP). Similarly to the words of E. Fermi [2]: "A person knows physics if he/she can solve pro
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Cicyn Riantoni, Rusdi, Maison, and Upik Yelianti. "Analysis of Student Problem Solving Processes in Physics." International Journal of Education and Teaching Zone 2, no. 1 (2023): 1–12. http://dx.doi.org/10.57092/ijetz.v2i1.107.

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The main goal of learning physics is to understand physics concepts in-depth and apply them in the problem solving process. This article presents a synthesis of what students do when solving physics problems. The five topics discussed in this article consist of: (1) the difference between expert and novice in problem solving, (2) Physics Problem Solving Approach, (3) the use of examples in problem solving, and (4) the use of representation in physics problem solving. This article is the result of studies of problem solving research literature. Each topic section will be discussed related to th
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Milke, N., M. Doert, S. Klepser, D. Mazin, V. Blobel, and W. Rhode. "Solving inverse problems with the unfolding program TRUEE: Examples in astroparticle physics." Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 697 (January 2013): 133–47. http://dx.doi.org/10.1016/j.nima.2012.08.105.

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ROUET, ALAIN. "THEORETICAL PHYSICS IN REAL LIFE." International Journal of Geometric Methods in Modern Physics 05, no. 08 (2008): 1337–43. http://dx.doi.org/10.1142/s0219887808003338.

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The unexpected efficiency of some theoretical physics methods in solving technical problems is illustrated by a few examples. This had been well understood by physicists like Wigner, but slightly forgotten in the last decades.
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Safaa M. Aljassas and Ahmed Sabah Al-Jilawi. "A Numerical Technique for Solving Optimization Problems." Wasit Journal for Pure sciences 2, no. 4 (2023): 1–11. http://dx.doi.org/10.31185/wjps.92.

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The aim of this paper is to calculate a better approximation value (whether it is maximize or minimize ) for one- and two-dimensional nonlinear equations using the best numerical optimization algorithms, which is Newton's method. The idea of this technique is based on approximating the function by expanding the Taylor series expansion and iteratively updating the estimate of the optimal solution. we have obtained good results in terms of accuracy and speed of approach, as shown in the examples mentioned. We also mentioned the applications of Newton’s method in multiple disciplines, including e
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Crowdy, Darren G., and Elena Luca. "Solving Wiener–Hopf problems without kernel factorization." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2170 (2014): 20140304. http://dx.doi.org/10.1098/rspa.2014.0304.

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A new approach to solving problems of Wiener–Hopf type is expounded by showing its implementation in two concrete and typical examples from fluid mechanics. The new method adapts mathematical ideas underlying the so-called unified transform method due to A. S. Fokas and collaborators in recent years. The method has the key advantage of avoiding what is usually the most challenging part of the usual Wiener–Hopf approach: the factorization of kernel functions into sectionally analytical functions. Two example boundary value problems, involving both harmonic and biharmonic fields, are solved in d
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Raju, M. S. "Fuzzy Logic for Solving Differential Equations in Physics." 4 7, no. 4 (2021): 196–202. http://dx.doi.org/10.46632/7/4/13.

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This study explores the application of fuzzy logic as a powerful tool for solving differential equations in the domain of physics. Two case studies, the quantum mechanical harmonic oscillator and the classical damped harmonic oscillator, serve as illustrative examples of how fuzzy logic can address uncertainties and imprecision’s inherent in these physics’ problems. The findings highlight the adaptability and robustness of fuzzy solutions, bridging the gap between deterministic models and complex real-world systems. The study also proposes future research directions to further advance the fiel
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Yong, Jinjun, Xianbing Luo, and Shuyu Sun. "Deep multi-input and multi-output operator networks method for optimal control of PDEs." Electronic Research Archive 32, no. 7 (2024): 4291–320. http://dx.doi.org/10.3934/era.2024193.

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<p>Deep operator networks is a popular machine learning approach. Some problems require multiple inputs and outputs. In this work, a multi-input and multi-output operator neural network (MIMOONet) for solving optimal control problems was proposed. To improve the accuracy of the numerical solution, a physics-informed MIMOONet was also proposed. To test the performance of the MIMOONet and the physics-informed MIMOONet, three examples, including elliptic (linear and semi-linear) and parabolic problems, were presented. The numerical results show that both methods are effective in solving the
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Mohammadi, Khan Mohammadi, and Tanvir Waris. "Numerical Solution of Non-Linear Equation in MATLAB." International Journal of Current Science Research and Review 08, no. 05 (2025): 2111–17. https://doi.org/10.5281/zenodo.15387241.

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Abstract : Since Non-linear equations are significant across many disciplines—including physics, engineering, economics, and other sciences—but solving them analytically can be quite challenging. This article explores the application of MATLAB to analyze three numerical methods: False Position, Newton-Raphson, and Secant. Each method is demonstrated through examples implemented in MATLAB, with error graphs provided to assess their accuracy. The study aims to assist in identifying the most appropriate method for solving particular types of nonlinear problems.
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Dissertations / Theses on the topic "Examples of solving physics problems"

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Mueller, Thibaut. "Solving hierarchy problems in the LHC era." Thesis, University of Cambridge, 2014. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.708391.

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Donertas, Sule. "Role Of Thought Experiments In Solving Conceptual Physics Problems." Phd thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12614025/index.pdf.

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The purpose of this study was to contribute to the science education literature by describing how thought experiments vary in terms of the nature, purpose of use and reasoning resources behind during the solution of conceptual physics problems. Three groups of participants were selected according to the level of participants&rsquo<br>physics knowledge- low, medium, and high level groups- in order to capture the variation. Methodology of phenomenographic research was adapted for this study. Think aloud and retrospective questioning strategies were used throughout the individually conducted prob
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Bouchard, Josée. "Physics students' approaches to learning and cognitive processes in solving physics problems." Thesis, McGill University, 2005. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=100325.

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This study examined traditional instruction and problem-based learning (PBL) approaches to teaching and the extent to which they foster the development of desirable cognitive processes, including metacognition, critical thinking, physical intuition, and problem solving among undergraduate physics students. The study also examined students' approaches to learning and their perceived role as physics students. The research took place in the context of advanced courses of electromagnetism at a Canadian research university. The cognitive science, expertise, physics and science education, instructio
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Sverin, Tomas. "Open-ended problems in physics : Upper secondary technical program students’ ways of approaching outdoor physics problems." Thesis, Umeå universitet, Institutionen för naturvetenskapernas och matematikens didaktik, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-52486.

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This study reports on technical program students’ approaches to solving open-ended problems during an introductory physics course in a Swedish upper secondary school. The study used case study methodology to investigate students’ activities in outdoor context. The findings come from observations and audio recordings of students solving three different open-ended problems. The results showed that the students had difficulties to formulate ‘solvable’ problems and to perform necessary ‘at home’ preparations to be able to solve the problems. Furthermore, students preferred to use a single solution
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Coleman, Elaine B. "Problem-solving differences between high and average performers on physics problems." Thesis, McGill University, 1987. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=63961.

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Ling, Siqi. "Solving multi-physics problems using adaptive finite elements with independently refined meshes." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-216790.

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In this thesis, we study a numerical tool named multi-mesh method within the framework of the adaptive finite element method. The aim of this method is to minimize the size of the linear system to get the optimal performance of simulations. Multi-mesh methods are typically used in multi-physics problems, where more than one component is involved in the system. During the discretization of the weak formulation of partial differential equations, a finite-dimensional space associated with an independently refined mesh is assigned to each component respectively. The usage of independently refined
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Scarlet, Benjamin S. 1974. "Solving sign problems with meron cluster algorithms : simulating field theories at non-zero chemical potential." Thesis, Massachusetts Institute of Technology, 2000. http://hdl.handle.net/1721.1/8280.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, February 2001.<br>Includes bibliographical references (p. 97-102) and index.<br>Numerical simulation of quantum systems develop sign problems upon the introduction of a chemical potential. The sign problem thus makes many interesting physical systems very difficult to study numerically. In this thesis, two related systems which develop sign problems in this way are considered: a D-Theory representation of a 1+1 dimensional 0(3) quantum field theory with a chemical potential, and antiferromagnetic Heisenberg quantum spin
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Ramos, Raymundo Alberto. "Solving Problems of the Standard Model through Scale Invariance, Dark Matter, Inflation and Flavor Symmetry." W&M ScholarWorks, 2016. https://scholarworks.wm.edu/etd/1477068273.

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Through beyond standard model formulations we are able to suggest solutions to some of the current shortcomings of the standard model. In this thesis we focus in particular on inflation, the hierarchy of fermion masses, scale invariant extensions and dark matter candidates. First we present a model of hybrid natural inflation based on the discrete group S_3, the smallest non-Abelian group. The S_3 potential has an accidental symmetry whose breaking results in a pseudo-Goldstone boson with the appropriate potential for a slow-rolling inflaton. The hybrid adjective comes from the fact that infla
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Wu, Dawen. "Solving Some Nonlinear Optimization Problems with Deep Learning." Electronic Thesis or Diss., université Paris-Saclay, 2023. http://www.theses.fr/2023UPASG083.

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Cette thèse considère quatre types de problèmes d'optimisation non linéaire, à savoir les jeux de bimatrice, les équations de projection non linéaire (NPEs), les problèmes d'optimisation convexe non lisse (NCOPs) et les jeux à contraintes stochastiques (CCGs). Ces quatre classes de problèmes d'optimisation non linéaire trouvent de nombreuses applications dans divers domaines tels que l'ingénierie, l'informatique, l'économie et la finance. Notre objectif est d'introduire des algorithmes basés sur l'apprentissage profond pour calculer efficacement les solutions optimales de ces problèmes d'optim
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Seo, Seung Mo. "A fast IE-FFT algorithm for solving electromagnetic radiation and scattering problems." Columbus, Ohio : Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1149105460.

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Books on the topic "Examples of solving physics problems"

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Boyadzhiev, Khristo N. Special Techniques for Solving Integrals: Examples and Problems. World Scientific Publishing Co Pte Ltd, 2021.

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Bagnavec, Natal'ya, Inna Dmitrevskaya, Alla Osipova, Ol'ga Eliseeva, Marina Grigor'eva, and Aleksey Zhevnerov. Collection of problems in chemistry. INFRA-M Academic Publishing LLC., 2024. http://dx.doi.org/10.12737/2063439.

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The textbook is intended for students' independent work and consists of seven chapters devoted to the main sections of general and inorganic chemistry. Each chapter includes a brief theoretical introduction with the presentation of fundamental concepts and calculation formulas for describing processes of various nature, examples of solving typical tasks and thirty options for individual tasks. The manual presents applications with physico-chemical quantities necessary to solve computational problems. A special feature of this textbook is the orientation towards the future professional activiti
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Belikov, B. S. General methods for solving physics problems. Mir Publishers, 1989.

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Elender, Wall, and Hewitt Paul G, eds. Introductory physics: A problem-solving approach. 2nd ed. Analog Press, 1997.

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Adomian, George. Solving Frontier Problems of Physics: The Decomposition Method. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-015-8289-6.

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Adomian, George. Solving Frontier Problems of Physics: The Decomposition Method. Springer Netherlands, 1994.

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1949-, Orlovskiĭ Dmitriĭ G., and Vasin Igor A. 1961-, eds. Methods for solving inverse problems in mathematical physics. Marcel Dekker, 2000.

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Vabishchevich, P. N. (Petr Nikolaevich), ed. Numerical methods for solving inverse problems of mathematical physics. Walter de Gruyter, 2007.

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José, Páez Mejía Manuel, ed. Computational physics: Problem solving with computers. Wiley, 1997.

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José, Páez Mejía Manuel, and Bordeianu Cristian C, eds. Computational physics: Problem solving with computers. 2nd ed. Wiley-VCH, 2007.

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Book chapters on the topic "Examples of solving physics problems"

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Gu, Yipeng. "Rigid Body." In Solving Physics Problems. Jenny Stanford Publishing, 2022. http://dx.doi.org/10.1201/9781003162544-4.

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Gu, Yipeng. "Fluid." In Solving Physics Problems. Jenny Stanford Publishing, 2022. http://dx.doi.org/10.1201/9781003162544-7.

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Gu, Yipeng. "Vibration." In Solving Physics Problems. Jenny Stanford Publishing, 2022. http://dx.doi.org/10.1201/9781003162544-5.

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Gu, Yipeng. "Kinematics." In Solving Physics Problems. Jenny Stanford Publishing, 2022. http://dx.doi.org/10.1201/9781003162544-2.

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Irvine, Houston N. "Physics Problems and Formula Rearrangement." In Engineering Technology Problem Solving, 2nd ed. CRC Press, 2024. http://dx.doi.org/10.1201/9781003573814-5.

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Chandrasekharan, S., and J. Osborn. "Solving Sign Problems with Meron Algorithms." In Springer Proceedings in Physics. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56577-9_4.

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Kllogjeri, Pellumb, and Adrian Kllogjeri. "Geogebra for Solving Problems of Physics." In Organizational, Business, and Technological Aspects of the Knowledge Society. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-16324-1_50.

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Salazar Bloise, Félix, Rafael Medina Ferro, Ana Bayón Rojo, and Francisco Gascón Latasa. "Methods for Solving Electrostatic and Magnetostatic Problems." In Undergraduate Lecture Notes in Physics. Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-48368-8_7.

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Melezhik, V. S. "New Method for Solving Three-Dimensional Schroedinger Equation." In Few-Body Problems in Physics. Springer Vienna, 1992. http://dx.doi.org/10.1007/978-3-7091-7581-1_60.

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Bos, Henk J. M. "The early modern tradition of geometrical problem solving; survey and examples." In Sources and Studies in the History of Mathematics and Physical Sciences. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0087-8_4.

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Conference papers on the topic "Examples of solving physics problems"

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Song, Zeyuan, and Zheyu Jiang. "A Physics-based, Data-driven Numerical Framework for Anomalous Diffusion of Water in Soil." In The 35th European Symposium on Computer Aided Process Engineering. PSE Press, 2025. https://doi.org/10.69997/sct.163304.

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Precision modeling and forecasting of soil moisture are essential for implementing smart irrigation systems and mitigating agricultural drought. Most agro-hydrological models are based on the standard Richards equation, a highly nonlinear, degenerate elliptic-parabolic partial differential equation (PDE) with first order time derivative. However, research has shown that standard Richards equation is unable to model preferential flow in soil with fractal structure. In such a scenario, the soil exhibits anomalous non-Boltzmann scaling behavior. Incorporating the anomalous non-Boltzmann scaling b
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Bai, Yidi, Xinhai Chen, Chunye Gong, and Jie Liu. "ImPINN: Improved Physics-informed neural networks for solving inverse problems." In 2024 International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery (CyberC). IEEE, 2024. https://doi.org/10.1109/cyberc62439.2024.00041.

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Srinivasan, Sridhar. "A Generalized Framework for Solving Materials and Corrosion Problems." In CORROSION 1996. NACE International, 1996. https://doi.org/10.5006/c1996-96368.

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Abstract A generic framework to support computer-based characterization of materials and corrosion problems has been developed. The framework provides an object-based model to partition and represent domain knowledge in terms of domain objects. The model allows characterization of objects in terms of system parameters and their relationships as a means to represent the state of an object. A template of objects and parameters can be created and used to rank different inter-related objects. The concept has been implemented as a Windows™-based software tool and examples of how the generic framewo
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Marschand, S. E., D. C. Carlson, and A. I. Asphahani. "Materials Expert Systems: Solving Corrosion Problems in Industrial Services." In CORROSION 1986. NACE International, 1986. https://doi.org/10.5006/c1986-86056.

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Abstract Materials degradation and corrosion problems are always a concern for many process industries. The needs for reliable materials property data and for a permanent technical expertise to solve material problems are becoming an issue for various plant sites. A combination of technical expertise and data bases was collected from lab tests, field tests, and service performance of materials used in the pulp and paper industry. The data was divided into seven segments, reflecting the various aspects of materials performance in the pulp and paper industry. The common corrosion problems were t
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Dmitrieva, Ilzina, Gennadiy Ivanov, and Alexey Mineev. "Geometric support of algorithms for solving Problems of higher mathematics." In International Conference "Computing for Physics and Technology - CPT2020". Bryansk State Technical University, 2020. http://dx.doi.org/10.30987/conferencearticle_5fce277310b6d4.05756248.

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The need to improve the level of mathematical in particular geometric training of students of technical universities is due to modern technologies of computer-aided design. They are based on mathematical models of designed products, technological processes, etc., taking into account a large variety of source data. Therefore, from the first years of technical universities, when studying the cycle of mathematical disciplines, it is advisable to interpret a number of issues in terms and concepts of multidimensional geometry. At the same time, the combination of constructive (graphical) algorithms
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Sueb, Sueb, Mimien Henie Irawati Al-Muhdhar, Racy Rizky Abdillah, et al. "The effectiveness of the Adiwiyata audiovisual media based on examples non-examples cooperative in improving students’ problem-solving skills, creative thinking skills, and environmental literacy." In ELECTRONIC PHYSICS INFORMATICS INTERNATIONAL CONFERENCE (EPIIC) 2023. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0215343.

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BRAICOV, Andrei, and Sergiu CORLAT. "Un model de activitate educațională STEM implementată prin metoda Instruirii în bază de problemă." In Inter/transdisciplinary approaches in the teaching of the real sciences, (STEAM concept) = Abordări inter/transdisciplinare în predarea ştiinţelor reale, (concept STEAM). Ion Creangă Pedagogical State University, 2023. http://dx.doi.org/10.46727/c.steam-2023.p228-235.

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The article presents a model of STEM educational activity implemented through the Problem-Based Learning method, targeting the disciplines of computer science, mathematics, physics, and chemistry. The STEM activity is described structurally and in stages: formulating the problem statement along with initial data and the basic requirement; analyzing the statement from a chemical, cinematic, mathematical, and computational perspective; the steps of solution; examples of solutions; implementation and validation of the solution. It has been observed that the symbiosis of computer science, mathemat
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Antsiperov, V. E. "NEUROMORPHIC SYSTEMS: HISTORY AND CURRENT TRENDS." In Actual problems of physical and functional electronics. Ulyanovsk State Technical University, 2023. http://dx.doi.org/10.61527/appfe-2023.5-6.

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The reasons for the emergence of research in the field of neuromorphic systems are explained as an attempt to solve the fundamental problem of traditional information systems caused by the limited capacity of the data exchange channel (common bus). Options for solving a similar problem in the sensory systems of living organisms are demonstrated using examples of the visual and auditory systems. Approaches to introducing (fusion) biological/neural information processing mechanisms into artificial systems are discussed
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DAVIDENKO, Andrey. "Inventive problems as a means of developing the creative abilities of students in the educational process in physics." In Ştiință și educație: noi abordări și perspective. "Ion Creanga" State Pedagogical University, 2023. http://dx.doi.org/10.46727/c.v3.24-25-03-2023.p328-333.

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The article is devoted to the problem of developing the creative abilities of schoolchildren and students in the process of teaching physics. During many years of research, the author came to the conclusion that one of the means that can contribute to the development of human creativity is inventive problems. The author gives the definition of an inventive problem. It also provides specific examples of their formulation and solution in the classroom in physics. Pedagogical practice has confirmed the effectiveness of using inventive problems both in physics lessons (in the classroom) and in ext
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Coïc, Clément, Michael Sielemann, Nirmala Nirmala, and Daniel Andersson. "Solving Flow Balancing Problem for Hybrid-Electric Aircraft Cooling Systems." In Asian Modelica Conference 2022, Tokyo, Japan, November 24-25, 2022. Linköping University Electronic Press, 2022. http://dx.doi.org/10.3384/ecp19345.

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A flow balancing problem consists of sizing restrictions on flow branches of a fluid system to match desired flow rates on each branch. The problem is rarely trivial as parallel branches routinely contain many components with nonlinear pressure loss characteristics each. This paper introduces the Physics-based Solving capabilities implemented in Modelon Liquid Cooling library. This new capability enables conveniently solving such flow balancing problems with steady-state requirements. The benefits of this solution are discussed using an aircraft thermal management system as example.
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Reports on the topic "Examples of solving physics problems"

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Klenk, Matthew, and Ken Forbus. Cognitive Modeling of Analogy Events in Physics Problem Solving From Examples. Defense Technical Information Center, 2007. http://dx.doi.org/10.21236/ada470406.

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Luk, Franklin T. Solving Large and Dense Eigenvalue Problems that Arise in Physics. Defense Technical Information Center, 1996. http://dx.doi.org/10.21236/ada310880.

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Peñaloza, Rafael. Pinpointing in Tableaus. Aachen University of Technology, 2006. http://dx.doi.org/10.25368/2022.158.

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Tableau-based decision procedures have been successfully used for solving a wide variety of problems. For some applications, nonetheless, it is desirable not only to obtain a Boolean answer, but also to detect the causes for such a result. In this report, a method for finding explanations on tableau-based procedures is explored, generalizing previous results on the field. The importance and use of the method is shown by means of examples.
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Kiv, Arnold E., Vladyslav V. Bilous, Dmytro M. Bodnenko, Dmytro V. Horbatovskyi, Oksana S. Lytvyn, and Volodymyr V. Proshkin. The development and use of mobile app AR Physics in physics teaching at the university. [б. в.], 2021. http://dx.doi.org/10.31812/123456789/4629.

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This paper outlines the importance of using Augmented Reality (AR) in physics education at the university as a valuable tool for visualization and increasing the attention and motivation of students to study, solving educational problems related to future professional activities, improving the interaction of teachers and students. Provided an analysis of the types of AR technology and software for developing AR apps. The sequences of actions for developing the mobile application AR Physics in the study of topics: “Direct electronic current”, “Fundamentals of the theory of electronic circuits”.
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Холошин, Ігор Віталійович, Наталя Борисівна Пантелєєва, Олександр Миколайович Трунін, Людмила Володимирівна Бурман, and Ольга Олександрівна Калініченко. Infrared Spectroscopy as the Method for Evaluating Technological Properties of Minerals and Their Behavior in Technological Processes. E3S Web of Conferences, 2020. http://dx.doi.org/10.31812/123456789/3929.

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Infrared spectroscopy (IR) is a highly effective method for the analysis of minerals, rocks and ores, capable of solving a whole range of problems when choosing innovative solutions for the technological processing of various types of mineral raw materials. The article considers the main directions of using the infrared spectroscopy method in assessing the technological properties of minerals and their behavior in technological processes: evaluation of the grade (quality) of mineral raw materials; analysis of the behavior of minerals in the technological process with prediction of their techno
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Guan, Jiajing, Sophia Bragdon, and Jay Clausen. Predicting soil moisture content using Physics-Informed Neural Networks (PINNs). Engineer Research and Development Center (U.S.), 2024. http://dx.doi.org/10.21079/11681/48794.

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Environmental conditions such as the near-surface soil moisture content are valuable information in object detection problems. However, such information is generally unobtainable at the necessary scale without active sensing. Richards’ equation is a partial differential equation (PDE) that describes the infiltration process of unsaturated soil. Solving the Richards’ equation yields information about the volumetric soil moisture content, hydraulic conductivity, and capillary pressure head. However, Richards’ equation is difficult to approximate due to its nonlinearity. Numerical solvers such as
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Pasupuleti, Murali Krishna. Mathematical Modeling for Machine Learning: Theory, Simulation, and Scientific Computing. National Education Services, 2025. https://doi.org/10.62311/nesx/rriv125.

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Abstract Mathematical modeling serves as a fundamental framework for advancing machine learning (ML) and artificial intelligence (AI) by integrating theoretical, computational, and simulation-based approaches. This research explores how numerical optimization, differential equations, variational inference, and scientific computing contribute to the development of scalable, interpretable, and efficient AI systems. Key topics include convex and non-convex optimization, physics-informed machine learning (PIML), partial differential equation (PDE)-constrained AI, and Bayesian modeling for uncertai
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Modlo, Yevhenii O., Serhiy O. Semerikov, Stanislav L. Bondarevskyi, Stanislav T. Tolmachev, Oksana M. Markova, and Pavlo P. Nechypurenko. Methods of using mobile Internet devices in the formation of the general scientific component of bachelor in electromechanics competency in modeling of technical objects. [б. в.], 2020. http://dx.doi.org/10.31812/123456789/3677.

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An analysis of the experience of professional training bachelors of electromechanics in Ukraine and abroad made it possible to determine that one of the leading trends in its modernization is the synergistic integration of various engineering branches (mechanical, electrical, electronic engineering and automation) in mechatronics for the purpose of design, manufacture, operation and maintenance electromechanical equipment. Teaching mechatronics provides for the meaningful integration of various disciplines of professional and practical training bachelors of electromechanics based on the concep
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SECOND-ORDER ANALYSIS OF BEAM-COLUMNS BY MACHINE LEARNING-BASED STRUCTURAL ANALYSIS THROUGH PHYSICS-INFORMED NEURAL NETWORKS. The Hong Kong Institute of Steel Construction, 2023. http://dx.doi.org/10.18057/ijasc.2023.19.4.10.

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The second-order analysis of slender steel members could be challenging, especially when large deflection is involved. This paper proposes a novel machine learning-based structural analysis (MLSA) method for second-order analysis of beam-columns, which could be a promising alternative to the prevailing solutions using over-simplified analytical equations or traditional finite-element-based methods. The effectiveness of the conventional machine learning method heavily depends on both the qualitative and the quantitative of the provided data. However, such data are typically scarce and expensive
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