Form fields or vector fields over a manifold (as opposed to forms and vectors) do not form a vector space. They form a module.

The difference is that the scalars of a vector space form an algebraic field while the scalars of a module form a ring. For us humans …

In most of my posts that discuss the SymPy diffgeom module I do not try to make a distinction between a tensor and a tensor field, as it is usually obvious from the context. However, it would be nice to spell it out at least once.

I have two favorite …

Quite some time ago I decided to learn how to program idiomatically in C++. A great resource were the C++ Annotations by Frank B. Brokken, which by the way are also in Debian’s repositories.

My first and only project in C++ was to write a fractal renderer. I wanted …

Есе за скъпоценния камък на Гаус