If I get the idea (which may not be the case), you will have to do a
lot of work on vector calculus for this to be useful in general. Do
you have any plans in that direction?

There is a module on which I worked last summer that is tangentially
concerned (diffgeom for differential geometry), which may be of use /
may be extended as part of the project.

If, on the other hand, I misunderstood, could you provide example
sympy session of what the suggested module would be able to do?

My worry is that the examples that you suggested are special cases
that may not be useful in general. For instance the Beer-Lambert's law
is just an exponential dampening which does not need it's dedicated
function unless it has some nice api to be coupled in more complex
problems.

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