Search Results for "algebra"

math lib for .NET. n-dim arrays, complex numbers, linear algebra, FFT, sorting, cells- and logical arrays as well as 3D plotting classes help developing algorithms on every platform supporting .NET. Sources from SVN, binaries: http://ilnumerics.net

This project consists of two object-oriented implementations of truncated power series (TPSA) for arbitrary order and number of variables. Addition, subtraction, multiplcation, division, and exponentiation are all implemented in the algebra as overloaded operators. They can also compute with maps, a map being an array of TPSA objects representing a mapping of a space into itself. They are implemented as arrays of TPSA objects equal in number to the number of variables of the algebra. One implementation is written in Mathematica and is rather slow. The second is written in VB.net and is much faster.

This is a library for optical calculations built upon truncated power series algebra implemented in VB.net. It represents optical systems as maps from a starting surface to an ending surface. The surfaces are themselves specified as truncated power series. The maps include path lengths; the library calculates interference as path length differences, and shearing is handled correctly through mixed-form maps.