Search Results for mathematical analysis

... between mathematics and physics. In the following steps of scientific evolution, the effort to understand and describe physical processes in detail led to the development of mathematical techniques that enabled deeper analysis. One of the most famous examples is the approach of Newton, who invented...

... and mathematics. Eichenlaub and Redish (2019) persuasively argued this by considering extreme-case reasoning, dimensional analysis, and estimation. Basson (2002) , through the concept of acceleration, argued that physics learning requires integrating physics concepts, skills, and knowledge of mathematics...

... that integrated STEM education research often treats mathematics as a tool for scientific investigation rather than viewing integrated STEM education as a site for conceptual mathematical learning. The chapter initially explores frameworks that have been used for the analysis of textbooks and in particular...

...-based model predictive control ,” in 2021 American Control Conference (ACC) (IEEE, 2021 ), pp. 2818 – 2823 . Son , S. H. , Narasingam , A. , and Kwon , J. S. I. , “ Development of offset-free Koopman Lyapunov-based model predictive control and mathematical analysis for zero...

... In this section and the one that follows, we review some of the research done around visualization tools that facilitate mathematization through Functions I and II. For Function I, we highlight the examples of MBL/probeware tools, video-analysis tools, and augmented/mixed reality. Each example illustrates how...

..., and domain switching characteristics. Chapters 6 and 7 show direct correlations between theoretical and experimental studies of strain effects in multifunctional oxides. The third part of the book discusses a rigorous mathematical analysis of processing-induced strain in thin films and its role...

... in a physical context is a very active area of research. Planinic et al. (2013) developed eight sets of isomorphic questions in mathematics, physics (kinematics), and contexts other than physics. The test was administered to 385 first-year students and the results of the Rasch analysis showed a good...

... laminar and turbulent flow models; estimating head loss and power requirements in fluid systems, etc. During the last few decades, the wide availability of affordable microcomputers has fostered the development of computational fluid dynamics, which has flanked the use of traditional mathematical analysis...

... in terms of physics concepts; (2) use the physical analysis to select relevant physical principles; (3) represent the problem mathematically from physical principles; (4) process the math to reach an answer; and (5) check the answer. Various positive outcomes of step-by-step problem-solving approaches have...

...Front Matter Toward Better Photovoltaic Systems: Design, Simulation, Optimization, Analysis, and Operations is a comprehensive introduction to simulation and design with a particular focus on optimization, analysis, evaluation, parameter estimation, and defect detection. It offers...

... object, use of a physical tool to understand a mathematical object, and use of a physical tool to understand a physical object (note that the latter mode is not mathematical sensemaking). Based on their analysis of the associations between modes of mathematical sensemaking and students' specific...

... of the composition, i.e., various energy sources, different energy storage systems, and distinct energy conversion devices. At present, various optimization methods including pinch analysis-based methods, mathematical programming-based methods and software-based methods have been developed for the optimal design...

... on this topic first appeared in 2015 ( Radtka, 2015 ). Mathematical tools are usually indispensable to construct explanations of physics, and mathematics is also one of the disciplines most closely related to physics ( Başkan Takaoğlu, 2018 ). Through content analysis of physics textbooks from a mathematical...

...Santibañez-Aguilar, J. E., “Multi-objective optimization of the solar photovoltaic system for better sustainability,” in Toward Better Photovoltaic Systems: Design, Simulation, Optimization, Analysis, and Operations, edited by J. Ren, C. He, and L. Dong (AIP Publishing, Melville, New York...

...Yang, S., Lei, H., and Liu, Z., “Modeling and simulation of solar photovoltaic (PV) system,” in Toward Better Photovoltaic Systems: Design, Simulation, Optimization, Analysis, and Operations, edited by J. Ren, C. He, and L. Dong (AIP Publishing, Melville, New York, 2023), pp. 1-1–1-28...

... identified relate to specific types of strategies used by experts, e.g., using a diagram in a qualitative analysis, which is similar to what Tuminaro and Redish refer to as the “pictorial analysis game.” While some of the epistemic game research investigates how students blend mathematics with physics, other...

.... Several papers are highlighted with an interdisciplinary focus. Next come papers with ideas relevant to statistical physics. The section ends with a discussion of the work focused on student understanding of the mathematical underpinnings of thermal physics. The chapter concludes with a brief discussion...

... , 533 – 538 ( 2014 ). Babatunde , A. , Abbasoglu , S. , and Senol , M. , “ Analysis of the impact of dust, tilt angle and orientation on performance of PV plants ,” Renewable Sustainable Energy Rev.   90 , 1017 – 1026 ( 2018 ). 10.1016/j.rser.2018.03.102 Badi , N...