## LATEX-L@LISTSERV.UNI-HEIDELBERG.DE

 Options: Use Forum View Use Monospaced Font Show Text Part by Default Condense Mail Headers Message: [<< First] [< Prev] [Next >] [Last >>] Topic: [<< First] [< Prev] [Next >] [Last >>] Author: [<< First] [< Prev] [Next >] [Last >>]

>
>
> >May be there should be a fourth script-like font, or at least parts of
> >an alphabet in such a style, to be used for some special one letter symbols,
> >containing for example
> >
> >P for the power set (also mentioned in J. Ziegler's article)
> >C to denote the set of continuous / continuous differentiable functions
> >  (as in C^k(\mathbf{R}) or the like)
> >O and o for the Landau symbols (denoting the order of magnitude of
> >  a function)
>
>   I am thinking of having perhaps only two (using NFSS terminology)
> "scripty" families, one less scripty, like the AMSfonts Euler script, and
> one more scripty, looking like handwritten script, which would cover those
> symbols mentioned above, both upper/lowe case then. These families would
> then come in full (math) series (normal, bold) and shapes (upright,
> slanted).

(I suppose that handwritten script' here refers to Formal Script'
(e.g. rsfs fonts), is that correct?)

I'll try to be more explicit. One frequent notation of power set'
is to use \mathfrak{P}. Now, if Fraktur is used for e.g. vector spaces,
this is ambiguous and should be avoided by escaping to \mathscr{P}.
But if Formal Script is used for another concept, one has to use
yet another symbol etc.
Thus I think it would be better to have a special, reserved symbol
for power set', clearly distinguishable from other P's. Justin Zieglers
proposal contained a position for such a letter (and his article some
ASCII art to give an idea of that glyph), and WordPerfect has such a glyph
in (one of) its character set(s), though wrongly called Weierstrass'
(no, it is not TeX's \wp for the Weierstrass p' function, that glyph
is there, too (also called Weierstrass').

Now there are more symbols with the similar problem: how to represent
them unambiguously. May be these won't make up a whole alphabet, may be
they shouldn't be called a font, as they need not share characteristics,
and may be they don't need to have a script-like appearance, but all this
doesn't change the mathematical necessity for such symbols, and I think
that TeX should provide them (may be after a lengthy discussion about their
appearance, as there does't seem to be a design for these symbols except
for the power-set-P).

Johannes Kuester

--