[Om] Content-dictionary notations draft

Paul Libbrecht paul at activemath.org
Thu Mar 22 12:52:44 CET 2007


Le 22 mars 07 à 12:08, W Naylor a écrit :

> One other typo, presumably the second example should be

thanks, fixed (with another correction!).

> A couple of points which don't appear to be addressed on the web  
> site but
> I did discuss at some length at MKM 2001
> (http://www.risc.uni-linz.ac.at/about/conferences/MKM2001/ 
> Proceedings/naylor.pdf)

This one is not searchable unfortunately... it would be nice if you  
had another. The MathML-one is well searchable.

I'll respond to 1/ here... leaving 2/ for another mail.

Your template function idea is nice and useful, for sure, but it  
would rely on one enormous unknown: a specification of evaluation of  
OpenMath (somewhat like the NMC is approaching).
If one does have such computation facilities one has most probably  
also types to help in rendering. Both appear to me as highly- 
interesting but not standardizable yet... am I pessimistic ??

paul


> and MathML 2002 (http://www.mathmlconference.org/2002/presentations/ 
> naylor/)
> are:
> 1/ How do we deal with parts of the notation which depend on parts  
> of the
> prototype (the OpenMath) in a non trivial manner (i.e. need some
> calculation to determine what to put in the presentation). For
> example the super-script in the partial derivative notation
>
>    ?
>   d
> ----- f(x)  in this example, we might expect ? = x + y
> d  d
>  x  y
>
> My solution then was to use 'template functions' (specified in  
> OpenMath),
> I still stick by this solution, though of course it is not normative.
>
> 2/ The second point is to do with nary functions, even-though these  
> are
> considered I believe that their treatment is oversimplified. What  
> happens,
> for example, if there are parts of the presentation which have some
> implicit nature, but also some dependant nature, e.g. the 0 above and
> below the diagonal of a diagonal matrix, what about the below diagonal
> elements of a skew matrix, again my solution was using template  
> functions
> (as indexing functions, and a combination of this and solution 1 would
> work for the second example). These solutions are described in the  
> second
> paper, but again not normative.

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