[Haskell-cafe] Re: Re[2]: Why monad tutorials don't work

[Andy Gimblett]

On Wed, Aug 15, 2007 at 12:50:42PM +0000, Dominic Steinitz wrote:
> 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.
> > 
> > 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?

I assumed he was just trying not to sing the "Spider Pig" song.

( http://uk.youtube.com/watch?v=5XQ_GWKvDE0 )

;-)

-- 
Andy Gimblett
Computer Science Department
University of Wales Swansea
http://www.cs.swan.ac.uk/~csandy/