[OS X TeX] \Cauchy-Principal-Value-Integral

[Steffen Lund Hokland]

Very nice! Thanks a lot.

Steffen

On Wednesday, Nov 27, 2002, at 10:16 Europe/Copenhagen, Bruno Voisin 
wrote:

> Le mercredi, 27 nov 2002, à 08:12 Europe/Paris, Steffen Lund Hokland a 
> écrit :
>
>> Does anybody know if there exist a symbol which consists of an 
>> integral (\int} with a vetically centered horisontal bar. It's quite 
>> common notation for the Cauchy Principal Value integral, but I can't 
>> seem to find it in the Not So Short ... or Daly and Kopka: 'A Guide 
>> to LaTeX.
>>
>> The alternative, I guess, is to make the d... thing my self....
>
> Or to use this thing I've written:
>
> \newlength{\intwidth}
> \DeclareRobustCommand{\fpint}[2]
>   {\mathop{%
>      \text{%
>        \settowidth{\intwidth}{$\int$}%
>        \makebox[0pt][l]{\makebox[\intwidth]{$-$}}%
>        $\int_{#1}^{#2}$}}}
>
> It assumes the package amsmath is loaded, so that the command \text 
> can be used. This \fpint (for "finite part integral") does not work 
> exactly as \int, it takes the limits as arguments, as in 
> \fpint{0}{\infty} replacing \int_0^\infty.
>
> The TeXbook says, for such composite symbols, taking \notin as an 
> example on p. 437 in Appendix F: "The definition of \notin in Appendix 
> B indicates how similar symbols can be constructed". But in Appendix 
> B, pp. 360-361 I never managed to understand how the construction 
> works (especially \c at ncel).
>
> The best solution would of course be special fonts including the 
> symbol, such as the AMS negated symbol fonts. The finite part integral 
> is indeed in MathML specification, at slot U02A0D, see:
>
> http://www.w3.org/TR/MathML2/02A.html
> http://www.w3.org/TR/MathML2/bycodes.html
>
> It is also included in the font Esstix-Six, available at:
>
> ftp://ftp.elsevier.nl/pub/styles/esstix/esstix.zip
>
> But I'm not aware of any TeX macro package for accessing these fonts.
>
> Michel Bovani (Michel, êtes-vous en ligne ?) did some work earlier 
> this summer on a set of PostScript mathematical fonts for accompanying 
> Utopia, and the principal value integral was part of this set.
>
> Good luck,
>
> Bruno Voisin
>
>
>
>
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>
>
Sadly text alone cannot convey the depth of my sarcasm.

___________________________________________
Steffen Lund Hokland

University of Aarhus
Department of Physics and Astronomy
Ny Munkegade
8000 Aarhus C
Denmark, Europe

office      :           520-227

Phone Office:           +45 89423610
Phone Home  :           +45 86166608

e-mail      :           hokland at phys.au.dk
___________________________________________


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