mathnet-symbolics
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mathnet
Tensors are missing
it seems that tensor algebra is completely missing as of now, so I am wondering how the plans are to include support for higher calculus.
I guess it might be useful to also have some graphical visualization of tensors, similar to penrose's graphical notation.
References
There are programs for tensor calculus, which state, that this is totally different from usual calculus, see
- https://en.wikipedia.org/wiki/Tensor_software or especially
- http://cadabra.science And even there you still don't get those graphical notations.
Tensor calculus is not "totally different". It is just a higher abstraction. The basic rules still apply. Thankfully the book I recommended builds the basics from scratch, so it should not be too complicated to build up the required algebraic rules.
In terms of an implementation I was thinking about something more like Redberry. I don't think that porting is an option, but the base classes like Tensors and Indices should give an idea of how to do it.
Graphical notation as an output would be handy, but is purely optional. It could be done using something like the Netron library, which was used in Math.net Yttrium. But since the project is now abandoned, it will need an merge into Github and get an update, or we need to find an alternative graph library.