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

[Dominic Steinitz]

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?

Dominic.