[boost] Re: Re: Dimensional Analysis Interest?

From: Jeff Flinn (TriumphSprint2000_at_[hidden])
Date: 2003-10-16 16:38:43

"Jan Van Dijk" <janvandijkinjapan_at_[hidden]> wrote in message
news:200310170421.57569.janvandijkinjapan_at_yahoo.co.jp...
> On Thursday 16 October 2003 18:23, Deane Yang wrote:
> [...]
> >
> > None of this helps anyone do anything; nobody really needs to know any
> > of this. But one way to distinguish between dimensions and units is that
> > dimensions corresponds to doing abstract linear algebra and units
> > corresponds to doing linear algebra with respect to fixed bases.
> > Changing units (like from meters to feet) corresponds to changing the
> > basis of the corresponding vector space.
>
> Hi Deane,
>
> Unfortunately the algebra (the transformation properties) is not linear.
Just
> consider conversion from the temperature-'base vector' K (kelvin) to C
> (Celsius), C=K-273.15.
>

Looks perfectly linear to me?  y = mx + b => C = (1)K - 273.15

-- 
Jeff Flinn
Applied Dynamics, International