From: David Carlisle <davidc@nag.co.uk>

Date: Wed, 20 May 1998 15:20:10 +0100

Message-Id: <199805201420.PAA19347@nag.co.uk>

To: www-math@w3.org

Date: Wed, 20 May 1998 15:20:10 +0100

Message-Id: <199805201420.PAA19347@nag.co.uk>

To: www-math@w3.org

To make a change from the discussion about whether MathML should exist at all, could I ask a couple of questions about white space? The Operator Dictionary in Appendix C has loads of entries like this: "⋀" form="infix" lspace=".16666em" rspace=".16666em" My query is with the space entries. Would it not have been more natural to specify these defaults to use the Non-Marking Entities (  in this case). These defaults are likely to be very font dependent (in ways that are not expressible just by using em units) and so a renderer or style sheet might like to change the interpretation of all of these spaces at the same time. Which (perhaps?) it could if the Dictionary pointed to the entities rather than explicit values. Not sure about this, perhaps the timing of the SGML entity expansions would mean that the indirection was lost too early? A bigger problem with these defaults, and also the allowed values you can specify in the attributes is that they all seem to be fixed spaces. Specified in this case very precisely to .00001em. Coming from TeX, as I do, the most noticeable omission seems to be any mention of stretching white space. Perhaps the renderer is supposed to just take a pragmatic view on all of this (eg by passing it to TeX and letting TeX use its default spacing) but then what to do about values explicitly specified in the attributes, are they to be preserved exactly, or can they be stretched/shrunk as well, and if so by what limits? Clause 6.2.1 says   space of width 3/18 em   space of width 4/18 em    space of width 5/18 em The analogous definitions in TeX (plain or latex) using Computer Modern fonts, are \thinmuskip=3mu \medmuskip=4mu plus 2mu minus 4mu \thickmuskip=5mu plus 5mu where a mu is 1/18 of an em, so the `natural sizes' are the same, but TeX allows some variability which is crucial in many of its algorithms to typeset mathematics. These values are in any case tuned to Computer Modern Fonts, a common setup using a Times Roman based math font set defines \thinmuskip=2mu \medmuskip=2.5mu plus 1mu minus 1mu \thickmuskip=4mu plus 1.5mu minus 1mu ie has tighter spacing and less variability. I'd like to be able to get from MathML to paper (for example) without breaking the specification in the document instance and the MathML definition, and without losing quality compared to TeX markup, but at present I do not see how to do that, or do I miss something? This assumption of fixed spacing, and so fixed widths of subexpressions, also appears to be present in the algorithm for dealing with <malignmark/> in 3.5.4. Look forward to any comments, pointers to clauses of the MathML Recommendation that I have missed, or anything else... DavidReceived on Wednesday, 20 May 1998 10:24:45 UTC

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