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small samples

To: w3cmatherb@w3.org

Subject: small samples

From: Ron Whitney <RFW@MATH.AMS.ORG>

Date: Thu, 15 Aug 1996 21:50:07 0400 (EDT)

From w3cmatherbrequest@www10.w3.org Thu Aug 15 21: 50:27 1996

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One last scripting example for now, then on to other things.
Ron

Item 7 / staggered scripts (tensor notation)
TeX: R^\alpha{}_\beta{}_x{}_{;y}
Wolfram: R^α%_β%_x%_{;y}
MINSE: 'riemann(?alpha?,?beta?,x,y)
DisplayList (S): <mscripts>
<mscripts>
<mscripts>
<mscripts>R<mc><mc>α</mscripts>
<mc>β<mc></mscripts>
<mc>x<mc></mscripts>
<mc>;y<mc></mscripts>
DisplayList (MS):
ISO 12083: R<sup arrange="stagger">α</sup>
<inf arrange="stagger">β</inf>
<inf arrange="stagger">x</inf>
<inf arrange="stagger">;y</inf>
Notes:
1. The ";" prior to the last lower index is to mean covariant
differentiation.
2. The TeX and ISO notations could be compacted since the last
several indices don't actually alternate up and down.
3. I think the MINSE notation would require a new compound for each
variant of upper and lower indices, and I've also pulled the covariant
differentiation indicator inside the compound ("'riemann"). Pulling
the ";" in could also be accomplished via a macro in the Wolfram
scheme, but perhaps with the cost of being a more opaque notation.