SAGE tip: Creating a Class for non-Abelian forms.

Hi everyone, today I start to write a new class for dealing with non-Abelian forms, i.e., forms with values in a certain Lie-algebra. This could be really useful when computing Yang-Mills theories in physics. So, I started by defining a new object which have two entries, a differential form and a matrix, and call it [...]

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SAGE tip: LaTeX trick in the notebook.

As I’ve mention before, actually I’m dealing with some messy supergravity calculations. Unlike most of my colleges, I don’t use Mathematica but their open source SAGE (applauses). Declaring (weird) Variables Through the calculations I should care about 10 dimensions, with a 5 dimensional restriction parametrized by  five different angles, which I call … thus, naturally [...]

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SAGE tip: rewriting expressions

Today I was calculating some stuff with the help of SAGE, and realize that the expressions got a lot (really, a lot) simpler if they where written in terms of  hyperbolic functions instead of exponentials.     So I enter the sage-devel channel of IRC (freenode), but there was a lazy day around… Sunday. Therefore [...]

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Sage and Mathematica integration

Last week I was trying to integrate a power of the Hyperbolic Tangent  (tanh) in sage, so I first try, sage: n,x = var(‘n,x’) sage: integrate(tanh(x)^n, x) but Sage didn’t integrate it. So I impose to be an integer, sage: n,x = var(‘n,x’) sage: assume(n, ‘integer’) sage: integrate(tanh(x)^n, x) and still nothing. However, for specific [...]

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Weak Points in Sage(math)

I’ve been trying Sage(math) for the last three weeks, and I can say it’s a charming piece of software. Works very well, the IRC channel is really, really helpful, the interface is simple, the Python platform is rather natural to manage, evolves quickly… and so on. However, there are some weak points I’d like to [...]

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