On a web page, we display, resorting to the Monte Carlo method, the statistical behavior of the perimeter and area of random polygons inscribed in a circle. We obtain three outcomes: those variables behave surprisingl...
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ISBN:
(纸本)9783031537271;9783031537288
On a web page, we display, resorting to the Monte Carlo method, the statistical behavior of the perimeter and area of random polygons inscribed in a circle. We obtain three outcomes: those variables behave surprisingly, mainly the perimeter;three languages run at very different speeds, which is expected, but notorious;and the web page is an example of what can be simply done on the Web. The web page is of free access to a user through the use of a browser, thus without any software installation and necessitating no particular power or matching operating system. This is an illustrative example making it possible to ready adaptation to a number of other problems. It combines the Web and convenient computer languages, to wit: PHP, Python, Fortran, and C, and the 'gnuplot' utility for plotting. The study has as objectives: to observe the said behaviors;to serve as a model to solve other problems;and, more generally, to call attention both to the Web as a medium for scientific computing, and to the adequacy of this in scientific publications. This study recommends computing in a web-based style, in general, which can use executable programs mostly similar to classical computing, these being the inevitable difficulty. This scarcely explored approach is promptly accessed here, and invites the cooperation of academia and industry in our technological era.
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