physikerwelt
commented
4 years ago Yes. Let's discuss this here. I have been working on that the program and it worked very well so far.
- splitting multiple formulas in
{equationgroup}commands such as http://dlmf.nist.gov/10.6.E1;
Abdou had nice templates for that. I think this is done. Here are the first lines of the 10.6 file
\BesselC{\nu-1}@{z}+\BesselC{\nu+1}@{z}=(2\nu/z)\BesselC{\nu}@{z}, \url{https://dlmf.nist.gov/10.6#Ex1}
\BesselC{\nu-1}@{z}-\BesselC{\nu+1}@{z}=2\BesselC{\nu}'@{z}. \url{https://dlmf.nist.gov/10.6#Ex2}
\BesselC{\nu}'@{z}=\BesselC{\nu-1}@{z}-(\nu/z)\BesselC{\nu}@{z}, \url{https://dlmf.nist.gov/10.6#Ex3}
\BesselC{\nu}'@{z}=-\BesselC{\nu+1}@{z}+(\nu/z)\BesselC{\nu}@{z}. \url{https://dlmf.nist.gov/10.6#Ex4}
\displaystyle\BesselJ{0}'@{z}=-\BesselJ{1}@{z}, \url{https://dlmf.nist.gov/10.6#E3X} \comments{Warning: Part 1 of multicontent tex element;}
\displaystyle\BesselY{0}'@{z}=-\BesselY{1}@{z}, \url{https://dlmf.nist.gov/10.6#E3X} \comments{Warning: Part 2 of multicontent tex element;}
\displaystyle\HankelH{1}{0}'@{z}=-\HankelH{1}{1}@{z}, \url{https://dlmf.nist.gov/10.6#E3Xa} \comments{Warning: Part 1 of multicontent tex element;}
\displaystyle\HankelH{2}{0}'@{z}=-\HankelH{2}{1}@{z}. \url{https://dlmf.nist.gov/10.6#E3Xa} \comments{Warning: Part 2 of multicontent tex element;}Overall there are 30 multicontent situations in the dataset. That means 30 formulae for which one can not generate an unambiguous deeplink to the DLMF.
- splitting multiple formulas in
{equationmix}commands such as http://dlmf.nist.gov/10.9.E18.
is handled as well
\HankelH{1}{\nu}@{z}=\frac{1}{\pi i}\int_{-\infty}^{\infty+\pi i}e^{z\sinh@@{t}-\nu t}\diff{t}, \url{https://dlmf.nist.gov/10.9#Ex7}
\HankelH{2}{\nu}@{z}=-\frac{1}{\pi i}\int_{-\infty}^{\infty-\pi i}e^{z\sinh@@{t}-\nu t}\diff{t}. \url{https://dlmf.nist.gov/10.9#Ex8}I think these aspects should be handled within Andres program:
- removing or ignoring commas, etc. at end of equations;
It should be done for all input and is no specific thing to the DLMF
- globally replacing
e->\expe,i->\iunit,\pi->\cpi(perhaps this information is already available in the XML, also there might be other replacements which are correctly handled);
XML does it when the DLMF editors decided to do so. We did not apply the DRMF heuristics. This would again be something I would see more as feature of Andres' program.
- separating out separate
\pmand \pm` formulas into two separate formulas such as http://dlmf.nist.gov/10.15.E1;
This should certainly be done within Andres' program. That way it is a feature of the program instead of a prerequisite. The implementation effort is the same either way.
AndreG-P
HowardCohl
abdouyoussef
@physikerwelt @AndreG-P @abdouyoussef
I don't know if this is the right place to put this issue, but now that we have considered using Abdou's program to massage the DLMF data, you need to think about some of the processing steps that I used in generating the original dataset. Since you are starting with the
XML, I suppose you don't need to worry about removing all comment lines, even those in formulae.These are some things which you might need to think about:
e->\expe,i->\iunit,\pi->\cpi(perhaps this information is already available in the XML, also there might be other replacements which are correctly handled);\pmand \pm` formulas into two separate formulas such as http://dlmf.nist.gov/10.15.E1;{equationgroup}commands such as http://dlmf.nist.gov/10.6.E1;{equationmix}commands such as http://dlmf.nist.gov/10.9.E18.There might be other things I am missing.