Today we had the first discussion with Prasoon and Sachin about their
projects.

We did not progress much but at least we outlined the two general
approaches that we can use for these modules (specifically for creating
vector fields). I will give them somewhat arbitrary names here:

- the `mechanics` way - having a Vector class that keeps all the
information about the field and it is not part of expression trees in the
way Basic and Expr are. For instance Vector(something along
cartesian.x)+Vector(something along spherical.r) will result in
Vector(complex internal structure).

- the `diffgeom` way - having base/unit vectors and building all the rest
in terms of their linear combinations (all this expressed as sympy
expressions).



Prasoon and Sachin did not have the time to look at the example problem
that was given in the previous email yet (no harm done there, there is
still some time before the official starting date). Probably this will be
the subject of our next discussion.

The next discussion was scheduled for tomorrow. After that I suggest that
we keep most of the discussions to the mailing list and the gihub wiki and
meet on irc / realtime wikis / google docs / etc  once a week.

Stefan

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