Mathematica stuff

On this page I collected some Mathematica-related projects. This page is still under construction until everything is migrated from the old site. If you are looking for content from the old page, also check out the Mathematica-related blog posts!

Packages

An advanced interface for seamlessly calling MATLAB functions from Mathematica. Please go to http://matlink.org/.

BoolEval

This is a package that allows a simple notation for doing MATLAB-style vectorized computations on numerical arrays. For example, to count the number of array elements greater than 0.5, one might write Count[arr, x_ /; x > 0.5]. This is clean and readable, but there’s an orders of magnitude faster way to do the same thing when working with a large packed numerical array:

Total@UnitStep[0.5 - arr]

Unfortunately this is not vey readable, and for complex conditions and comparisons it becomes very unwieldy to write. The package provides an alternative notation,

BoolCount[arr > 0.5]

There are functions for element selection, counting, and other similar operations, e.g.

BoolPick[arr, 0.5 < arr < 0.6]

which would take the much more complex Pick[arr, (1 - UnitStep[0.5 - arr]) UnitStep[0.6 - arr], 1] to write by hand.

Get the code here.

IGraphR

This package makes it easy to call the igraph graph manipulation library from Mathematica. This is useful both for graph operations that Mathematica doesn’t support and verifying results obtained with Mathematica.

Get the code here

Mathematica on the Notre Dame CRC cluster

This package greatly simplifies running parallel Mathematica jobs on Notre Dame’s HPC cluster. Just include the package, which auto-detects the number of cores and hosts usable by the jobs and sets up Mathematica’s parallel tools appropriately.

Get the code here.

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