Home » railML newsgroups » railml.rollingstock » TrainResistance definition in MathML
| Re: TrainResistance definition in MathML [message #1216 is a reply to message #1215] |
Thu, 12 September 2013 10:37  |
Thomas Albrecht
Messages: 2
Registered: August 2013
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Junior Member |
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Hi Joerg and Susanne,
Thanks for your replies.
We still need to describe:
- which symbol is used for which physical quantity
- which units of measurements are used for which variable (these might
vary significantly e.g. for speed from m/s, km/h to mph)
Can that be done in MathML or within railML?
The "MathML semantic layer" looks like a good way to represent the
formulas. However, if we exchange data in that way between different
tools, every tool must do some MathML parsing and interpretation of the
nested structure of the formulas. That might be time-critical for some
real-time applications.
Still hope that someone has actually used this in practice for data
exchange and can contribute to that forum ...
Thomas
Am 11.09.2013 19:10, schrieb Joerg von Lingen:
> Hi Thomas,
>
> in 2003 I had already presented some ideas about using MathML bearing in mind that there are quite few forms of polynoms
> needed for the purpose.
>
> Best Jörg.
>
> Susanne Wunsch wrote the following on 29.08.2013 14:05:
>> Hello Thomas,
>>
>> Thomas Albrecht <ThomasKAlbrecht(at)tu-dresdende> writes:
>>> or 2)mathml.
>>> ValueTable should be straightforward, but in practice, it seems that
>>> rather formulas of the kind
>>> fW = A + C * (V + X) (A, C parameters, V speed of train, X wind speed)
>>> or similar are given, which is probably better formulated using MathML.
>>>
>>> A) Has anyone worked with MathML?
>>
>> No experiences from my side.
>>
>>> B) Should we use standard symbols and units in order to make it
>>> understandable?
>>
>> Of course! ;-)
>>
>> I checked the current MathML standard (version 3.0) and tried to make a
>> proposal for usage in the railML context.
>>
>> MathML is now widely understood in different tools, but there seems to be
>> great differences between the MathML versions and the degree of
>> implementation completeness.
>>
>> * Apache OpenOffice4 displays the "Presentation-Mode" if it's separated
>> into a file.
>> * Firefox23 displays the "Presentation-Mode" if it's separated into a
>> file without the "Content-Mode".
>> * LibreOffice4.1 doesn't understand this MathML-version.
>>
>> I would be interested in further reports about usability of the
>> following MathML code: Mathematica?, MATLAB?, M$ Office?, IE?, Chrome?,
>> Opera? ...
>>
>> Copy the following lines into a file. Maybe you should snip the MathML
>> part out for testing in MathML-aware tools.
>>
>> ?xml version="1.0" encoding="UTF-8"?>
>> <!DOCTYPE math [
>> <!ENTITY middot "·"> <!--MIDDLE DOT -->
>> <!ENTITY InvisibleTimes "⁢" ><!--INVISIBLE TIMES -->
>> ]>
>> <!-- First proposal for definition of formulas inside railML elements
>> Following references were used:
>> * Mathematical Markup Language (MathML) Version 3.0, Chapter 5 Mixing Markup Languages for Mathematical Expressions,
>> W3C Recommendation 21 October 2010: http://www.w3.org/TR/MathML3/chapter5.html#mixing.parallel
>> * Units in MathML,
>> W3C Working Group Note 10 November 2003: http://www.w3.org/TR/mathml-units/
>> * Definition identifier URNs in OGC namespace, Version 1.3, OGC document number 07-092r3
>> Open Geospatial Consortium Inc.: http://portal.opengeospatial.org/files/?artifact_id=30575
>> * The Unified Code for Units of Measure (UCUM), XML releases of the formal part of the specification,
>> UCUM: http://unitsofmeasure.org/ucum-essence.xml
>> * XML Entity Definitions for Characters, The expanded set of HTML and MathML entity definitions,
>> W3C Recommendation 01 April 2010: http://www.w3.org/2003/entities/2007/htmlmathml-f.ent
>> -->
>> <railml xmlns="http://www.railml.org/schemas/2013"
>> xmlns:dc="http://purl.org/dc/elements/1.1/"
>> xmlns:mml="http://www.w3.org/1998/Math/MathML">
>> <rollingstock id="r1">
>> <metadata>
>> <dc:title>railML rollingstock sample</dc:title>
>> <dc:description>Proposal for train resistance definition with a formula</dc:description>
>> <dc:creator>Susanne Wunsch</dc:creator>
>> </metadata>
>> <vehicles>
>> <vehicle id="v1"/>
>> <vehicle id="v2"/>
>> </vehicles>
>> <formations>
>> <formation id="f1">
>> <trainOrder>
>> <vehicleRef orderNumber="1" vehicleRef="v1"/>
>> <vehicleRef orderNumber="2" vehicleRef="v2" vehicleCount="9"/>
>> </trainOrder>
>> <trainResistance>
>> <mml:math>
>> <mml:semantics>
>> <!-- Content mathematical expression: 17,456 N + 5,677 Ns/m * v + 1,234 Ns^2/m^2 * v^2 -->
>> <!-- TODO: Currently missing: definition of uom for variable 'v'-->
>> <mml:apply>
>> <mml:plus/>
>> <mml:apply>
>> <mml:times/>
>> <mml:cn type="constant">17,456</mml:cn>
>> <mml:csymbol definitionURL="urn:ogc:def:uom:UCUM::N">N</mml:csymbol>
>> </mml:apply>
>> <mml:apply>
>> <mml:times/>
>> <mml:cn href="">5,677</mml:cn>
>> <mml:apply>
>> <mml:times/>
>> <mml:csymbol definitionURL="urn:ogc:def:uom:UCUM::N">N</mml:csymbol>
>> <mml:apply>
>> <mml:divide/>
>> <mml:csymbol definitionURL="urn:ogc:def:uom:UCUM::s">s</mml:csymbol>
>> <mml:csymbol definitionURL="urn:ogc:def:uom:UCUM::m">m</mml:csymbol>
>> </mml:apply>
>> </mml:apply>
>> <mml:ci>v</mml:ci>
>> </mml:apply>
>> <mml:apply>
>> <mml:times/>
>> <mml:cn type="constant">1,234</mml:cn>
>> <mml:apply>
>> <mml:times/>
>> <mml:csymbol definitionURL="urn:ogc:def:uom:UCUM::N">N</mml:csymbol>
>> <mml:apply>
>> <mml:power/>
>> <mml:apply>
>> <mml:divide/>
>> <mml:csymbol definitionURL="urn:ogc:def:uom:UCUM::s">s</mml:csymbol>
>> <mml:csymbol definitionURL="urn:ogc:def:uom:UCUM::m">m</mml:csymbol>
>> </mml:apply>
>> <mml:cn>2</mml:cn>
>> </mml:apply>
>> </mml:apply>
>> <mml:apply>
>> <mml:power/>
>> <mml:ci>v</mml:ci>
>> <mml:cn>2</mml:cn>
>> </mml:apply>
>> </mml:apply>
>> </mml:apply>
>> <mml:annotation-xml style="MathML-Presentation">
>> <!-- Presentation mathematical expression: 17,456 N + 5,677 Ns/m * v + 1,234 Ns^2/m^2 * v^2 -->
>> <mml:mrow>
>> <mml:mn>17,456</mml:mn>
>> <mml:mo rspace='thickmathspace'>⁢</mml:mo>
>> <mml:mi mathvariant='normal' class='MathML-Unit'>N</mml:mi>
>> <mml:mo>+</mml:mo>
>> <mml:mrow>
>> <mml:mn>5,677</mml:mn>
>> <mml:mo rspace='thickmathspace'>⁢</mml:mo>
>> <mml:mrow>
>> <mml:mi mathvariant='normal' class='MathML-Unit'>N</mml:mi>
>> <mml:mo>·</mml:mo>
>> <mml:mfrac>
>> <mml:mi mathvariant='normal' class='MathML-Unit'>s</mml:mi>
>> <mml:mi mathvariant='normal' class='MathML-Unit'>m</mml:mi>
>> </mml:mfrac>
>> </mml:mrow>
>> <mml:mo>⁢</mml:mo>
>> <mml:mi>v</mml:mi>
>> </mml:mrow>
>> <mml:mo>+</mml:mo>
>> <mml:mrow>
>> <mml:mn>1,234</mml:mn>
>> <mml:mo rspace='thickmathspace'>⁢</mml:mo>
>> <mml:mrow>
>> <mml:mi mathvariant='normal' class='MathML-Unit'>N</mml:mi>
>> <mml:mo>·</mml:mo>
>> <mml:mfrac>
>> <mml:msup>
>> <mml:mi mathvariant='normal' class='MathML-Unit'>s</mml:mi>
>> <mml:mn>2</mml:mn>
>> </mml:msup>
>> <mml:msup>
>> <mml:mi mathvariant='normal' class='MathML-Unit'>m</mml:mi>
>> <mml:mn>2</mml:mn>
>> </mml:msup>
>> </mml:mfrac>
>> </mml:mrow>
>> <mml:mo>⁢</mml:mo>
>> <mml:msup>
>> <mml:mi>v</mml:mi>
>> <mml:mn>2</mml:mn>
>> </mml:msup>
>> </mml:mrow>
>> </mml:mrow>
>> </mml:annotation-xml>
>> </mml:semantics>
>> </mml:math>
>> </trainResistance>
>> </formation>
>> </formations>
>> </rollingstock>
>> </railml>
>>
>> Kind regards...
>> Susanne
>>
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