[liblouis-liblouisxml] Re: How does MathML handle arithmetic examples and spatial layouts?
- From: Neil Soiffer <neil.soiffer@xxxxxxxxx>
- To: liblouis-liblouisxml@xxxxxxxxxxxxx
- Date: Thu, 12 Nov 2009 20:26:36 -0800
MathML 2 doesn't have a good way to represent elementary math notations.
You could use tables, but then you have lost the numbers and they are very
fragile, it's hard to get the lines right, etc. MathML 3, which just ended
it's last call period yesterday, adds some elements to make elementary math
easier and hopefully accessible.
Here's an example for a simple addition (there is a space after the "+"):
<math xmlns="http://www.w3.org/1998/Math/MathML";>
<mstack>
<mn>424</mn>
<msrow> <mo>+</mo> <none/> <mn>33</mn> </msrow>
<msline/>
</mstack>
</math>
Here's an example of subtraction with borrows:
<math xmlns="http://www.w3.org/1998/Math/MathML";>
<mstack>
<mscarries crossout='updiagonalstrike'>
<mn>2</mn> <mn>12</mn> <mscarry crossout='none'> <none/> </mscarry>
</mscarries>
<mn>2,327</mn>
<msrow> <mo>-</mo> <mn> 1,156</mn> </msrow>
<msline/>
<mn>1,171</mn>
</mstack>
</math>
Finally, here's a more complicated example of long division
<mlongdiv longdivstyle="lefttop">
<mn> 3 </mn>
<mn> 435.3</mn>
<mn> 1306</mn>
<msgroup position="2" shift="-1">
<msgroup>
<mn> 12</mn>
<msline length="2"/>
</msgroup>
<msgroup>
<mn> 10</mn>
<mn> 9</mn>
<msline length="2"/>
</msgroup>
<msgroup>
<mn> 16</mn>
<mn> 15</mn>
<msline length="2"/>
<mn> 1.0</mn> <!-- aligns on '.', not the right edge ('0') -->
</msgroup>
<msgroup position='-1'> <!-- extra shift to move to the right of
the "." -->
<mn> 9</mn>
<msline length="3"/>
<mn> 1</mn>
</msgroup>
</msgroup>
</mlongdiv>
To keep things simple (one digit per column) for these important notations,
they don't work for synthetic division. For that you would have to use
mtable, although there are some tricks that I think might let you make use
of mstack -- I haven't thought them through.
You can read about it here:
http://www.w3.org/TR/MathML3/chapter3.html#presm.elementary
Based on feedback during the last call, there have been a few changes, but
that is mostly accurate. We hope to have a "Call for Implementations" draft
out before Christmas. It would be great to get your feedback on trying to
implement the elementary math in the two month(?) period for that.
Neil
On Thu, Nov 12, 2009 at 6:56 PM, John J. Boyer <john.boyer@xxxxxxxxxxxxxxxxx
> wrote:
> Yes. I am asking about 2d addition, subtraction, division, etc., where
> the units, tens and so on are lined up. Also about synthetic division
> and representations of fractions that are spread out for better viewing.
> I suppose mtable is used, but what are the attributes and values?
>
> Thanks,
> John
>
> On Thu, Nov 12, 2009 at 03:06:29PM -0800, Neil Soiffer wrote:
> > I'm not quite sure what you are asking.* Are you asking about 2d
> addition,
> > subtraction, etc?* Or are you referring to something else?
> >
> > **** Neil
> >
> > On Thu, Nov 12, 2009 at 8:12 AM, John J. Boyer
> > <[1]john.boyer@xxxxxxxxxxxxxxxxx> wrote:
> >
> > I'm trying to explain how to get liblouisxml to handle them in the
> > documentation, but I haven't actullly seen them in MathML. I guess
> this
> > is a question for Neil.
> >
> > Thanks,
> > John
> >
> > --
> > John J. boyer; President, Chief Software Developer
> > Abilitiessoft, Inc.
> > [2]http://www.abilitiessoft.com
> > Madison, Wisconsin USA
> > Developing software for people with disabilities
> >
> > For a description of the software and to download it go to
> > [3]http://www.jjb-software.com
> >
> > References
> >
> > Visible links
> > 1. mailto:john.boyer@xxxxxxxxxxxxxxxxx
> > 2. http://www.abilitiessoft.com/
> > 3. http://www.jjb-software.com/
>
> --
> John J. boyer; President, Chief Software Developer
> Abilitiessoft, Inc.
> http://www.abilitiessoft.com
> Madison, Wisconsin USA
> Developing software for people with disabilities
>
> For a description of the software and to download it go to
> http://www.jjb-software.com
>
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