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The Great Periodic Path Hunt at gwtokarsky.github.io
Researchers, Mathematicians and Enthusiasts.
Download "Billiards Everything" to discover new periodic billiard paths, an unresolved problem from 1775!
Download "Billiards Covers" to see the most current list of periodic paths in triangles.
Follow "The Great Periodic Path Hunt" at gwtokarsky.github.io for the latest news.
Email tokarsky@ualberta.ca for feedback.
Performs dimensional analysis from cells in a spreadsheet.
...The spreadsheet must follow a standard for the variables and the formulas.
The general convention is to put variable names, values & formulas, and units in three columns. Make sure the names match the contents of the name cells. Use the names in the formulas, not the cell addresses.
To use the Dimension Analysis tool, select and copy the cells, then paste them into the tool’s input text box.
Requires Python 3 plus SymPy and mpmath packages.
http://www.sympy.org
http://mpmath.org/
Let P be a 2D point expressed in a plane area defined by four 2D points A,B,C,D. The aim of our C++ class is to express the coordinates of P in order to match when A,B,C,D is rectified as a rectangle. A demo application shows the use of the C++ class.
...The considered implemented parametric and non-parametric Monte Carlo likelihood methods were chosen for their ability to treat both one-dimensional and multivariate SDE systems, although the quality of the inferential results can't match those obtained using more advanced techniques. Nevertheless the toolbox capabilities to simulate numerical solutions of SDE systems are still valid and can serve as a useful starting point to those willing to simulate stochastic dynamical models easily.