[Haskell-cafe] Re: Re: Why monad tutorials don't work
dominic.steinitz at blueyonder.co.uk
Wed Aug 15 08:50:42 EDT 2007
Miguel Mitrofanov <miguelimo38 <at> yandex.ru> writes:
> >>> Grrr...must...hold...my...tongue...
> >> Dan, as a former student of a clone of that physics teacher, I am really
> >> interested in what you will say when you fail to hold your tongue.
> >> -- Bill Wood
> MV> I have to admit I was wondering the same thing myself.
> So was I.
I'm guessing that Dan means that thinking of tensors as things that transform
between co-ordinate systems in a certain way (e.g. via the Jacobian of the
transition maps) isn't a terribly good way of thinking about them. Vector
fields, co-vector fields and tensor fields are really co-ordinate independent
notions and the transformation laws (if I may call them that) are a
consequence of the way they transform under (smooth) maps. But perhaps this is
better discussed on a differential geometry mailing list?
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