PHYS 2200 Final: Final Exam Fall 2014
Document Summary
100: (40 points) volume of 5-dimensional superellipsoids (a) use monte carlo integration to calculate the volumes, v5(n), of the following geometrical objects (called superellipsoids) in 5-dimensional space: |x1|n + |x2|n + |x3|n + |x4|n + |x5|n = 1, for n = 1, 2, . Here xi are the cartesian coordinates. (b) estimate statistical errors of your calculations. Make sure you use valgrind to check your code for memory leaks. In the spirit of reproducible research approach, compilation of your code, actual calculations, and graphs generation should be controlled by your make le. Upload your code, make le, . gitignore, readme. md, your graphics les to github and provide the link to the project: https/github. com/ Hint: to check whether your calculations make sense, note that a regular 5-dimensional octahedron is a special case of superellipsoid eq. (1) when n = 1; thus v5(1) = 25.
