Building on a number of Mathematica's standard features, including the Import function and DatabaseLink, Wolfram Research's corporate analysis team has developed a powerful, in-house computable data function to quickly generate statistics and create sophisticated visualizations to analyze the company's web traffic and other business data.
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In summer 2009, I attended the Advanced Mathematica Summer School at Wolfram Research. While there, I began to develop some course materials, demonstrations, and labs for our Math 2420 Differential Equations course. I am still working on much of this material, but will start posting it here as I begin to get it whipped into shape.
Some of the things you can do with the GrassmannAlgebra software. You can: * Set up your own space of any dimension and metric. The default is a 3D Euclidean * Work basis-free or with a basis * Declare your own scalar symbols * Declare your own vector symbols: * Apply Grassmann operations. A Grassmann operation is any of: the complement operation and the six product operations: the exterior, regressive, interior, generalized Grassmann, hypercomplex and Clifford products. * Manipulate Grassmann expressions and numbers. A Grassmann expression is either a scalar, a Grassmann variable, or the result of a sequence of Grassmann operations or sums on Grassmann expressions. A Grassmann number is a Grassmann expression expressed as a linear combination of basis elements. * Compute the grade of any Grassmann expression. * Query the attributes of any expression. * Extract components of different types