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**To**:*math-font-discuss@cogs.susx.ac.uk***Subject**:**Re: Binary Relations, draft 1****From**:*Thierry Bouche <Thierry.Bouche@ujf-grenoble.fr>***Date**: Wed, 18 Nov 1998 11:31:57 +0100 (MET)- Content-Length: 1257

Concernant « Re: Binary Relations, draft 1 », Joerg Knappen écrit : « » IMHO the rule for upright setting is, that (beside some other entities) » _numbers_ are typeset upright. Note that it is not _constants_, since any » ad hoc constants (typically denoted by $c$ or $k$) are typeset in math » italics. Ah, that's not so simple... Most maths "constants" are indeed unknown functions. But, with H. Aberg's rule, we would have to distinguish between: Let $f$ be a continuous function (math ital) and Let $f(x)=\exp(x^2)$ (f should be upright, as it will be of constant meaning thereafter, whereas x should me math ital) And now, an effectiveness theorem would simply be the uprightification of some constant. Now, the "number" 5 maybe equal to 1 or even 0 depending on the charasteristic of the number field it lives in, so it may be seen as a variable depending on that charasteristic! What we really need is a Javascript implementation of dynamical fonts in PDF, moving from italic to upright and back, endlessly! Thierry Bouche, Grenoble. PS It has been the custom in France to typeset capitals upright in maths, and lowercase i italic. I'm afraid this was more aesthetical than semantic. PPS I didn't change my mind during the night;-)

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