The optimal journey from A to B
العنوان: | The optimal journey from A to B |
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المؤلفون: | Dan Anderson, Mietek Lisak, F. Andersson, P. Andersson, A. Billander, M. Desaix |
المصدر: | American Journal of Physics. 76:863-866 |
بيانات النشر: | American Association of Physics Teachers (AAPT), 2008. |
سنة النشر: | 2008 |
مصطلحات موضوعية: | Physics, Minimization problem, Physics::Physics Education, General Physics and Astronomy, Applied mathematics, Calculus of variations, Minimisation (clinical trials) |
الوصف: | How fast can you comfortably travel between two points A and B? This question is formulated as a minimization problem of a functional where the discomfort is quantified in terms of the integral of the square of the acceleration between A and B. The problem is solved in terms of the corresponding Euler–Lagrange equation and approximately using a direct variational approach based on trial functions and Ritz optimization. The main purpose of the analysis is to introduce undergraduate students to variational calculus in an interesting and pedagogical way. |
تدمد: | 1943-2909 0002-9505 |
URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::75910cf2b5fe28f4d453c50f4ea74025 https://doi.org/10.1119/1.2929673 |
رقم الأكسشن: | edsair.doi...........75910cf2b5fe28f4d453c50f4ea74025 |
قاعدة البيانات: | OpenAIRE |
تدمد: | 19432909 00029505 |
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