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-<?xml version="1.0"?>
-<!--This OMDoc document is generated from an sTeX-encoded one via LaTeXML, you may want to reconsider editing it.-->
-<omdoc xmlns="http://omdoc.org/ns" xmlns:stex="http://kwarc.info/ns/sTeX" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:om="http://www.openmath.org/OpenMath" xmlns:omdoc="http://omdoc.org/ns" xmlns:m="http://www.w3.org/1998/Math/MathML" stex:srcref="paper.tex#textrange(from=15;1,to=15;17)" xml:id="paper.omdoc">
- <metadata xml:id="paper.omdoc.p1" about="#paper.omdoc.p1" stex:srcref="paper.tex#textrange(from=18;0,to=25;16)">
- <dc:creator xml:id="paper.omdoc.p1.p1" about="#paper.omdoc.p1.p1" stex:srcref="paper.tex#textrange(from=19;0,to=19;20)">MichaelKohlhase</dc:creator>
- <dc:rights xml:id="paper.omdoc.p1.p2" about="#paper.omdoc.p1.p2" stex:srcref="paper.tex#textrange(from=20;0,to=20;49)">Copyright (c) 2009 Michael Kohlhase</dc:rights>
- <dc:title xml:id="paper.omdoc.p1.p3" about="#paper.omdoc.p1.p3" stex:srcref="paper.tex#textrange(from=21;0,to=21;53)">An example of semantic Markup in <phrase xml:id="paper.omdoc.p1.p3.p1" about="#paper.omdoc.p1.p3.p1" stex:srcref="paper.tex#textrange(from=21;0,to=21;53)">sTeX</phrase></dc:title>
- <dc:description xml:id="paper.omdoc.p1.p4" about="#paper.omdoc.p1.p4" stex:srcref="paper.tex#textrange(from=24;0,to=24;40)">In this note we give an example of semantic markup in <phrase xml:id="paper.omdoc.p1.p4.p1" about="#paper.omdoc.p1.p4.p1" stex:srcref="paper.tex#textrange(from=24;0,to=24;40)">sTeX</phrase>:
-Continuous and differentiable functions are introduced using real numbers, sets and
-functions as an assumed background.</dc:description>
- </metadata>
- <omgroup layout="sectioning" xml:id="intro" about="#intro" stex:srcref="paper.tex#textrange(from=27;0,to=110;13)">
- <metadata xml:id="intro.p1" about="#intro.p1" stex:srcref="paper.tex#textrange(from=27;0,to=27;39)">
- <dc:title stex:srcref="paper.tex#textrange(from=27;0,to=110;13)" xml:id="intro.p1.p1" about="#intro.p1.p1">Introduction</dc:title>
- </metadata>
- <omtext xml:id="intro.p2" about="#intro.p2" stex:srcref="paper.tex#textrange(from=27;0,to=63;13)">
- <CMP xml:id="intro.p2.p1" about="#intro.p2.p1" stex:srcref="paper.tex#textrange(from=27;0,to=63;13)">We will show how to semantically mark up mathematics in the <phrase xml:id="intro.p2.p1.p1" about="#intro.p2.p1.p1" stex:srcref="paper.tex#textrange(from=27;1,to=28;68)">sTeX</phrase>
-format&#xA0;<citation xmlns:mcd="http://www.w3.org/ns/mathml-cd" bibrefs="kohlhase:ulsmf08"/> and how to convert it into
-OMDoc&#xA0;<citation xmlns:mcd="http://www.w3.org/ns/mathml-cd" bibrefs="kohlhase:omdoc1.3"/>.
-We have some mathematical material in Section <ref type="cite" xref="sec.math" xml:id="intro.p2.p1.p2" about="#intro.p2.p1.p2" stex:srcref="paper.tex#textrange(from=31;29,to=32;56)"/> which will serve as example
-content. In the rest of this section we will explain the setup of the example and
-present an approach to automation of the OMDoc conversion via Unix Makefiles.
-</CMP>
- </omtext>
- <omgroup layout="sectioning" xml:id="intro.p3" about="#intro.p3" stex:srcref="paper.tex#textrange(from=35;0,to=63;13)">
- <metadata xml:id="intro.p3.p1" about="#intro.p3.p1" stex:srcref="paper.tex#textrange(from=35;0,to=62;13)">
- <dc:title stex:srcref="paper.tex#textrange(from=35;0,to=63;13)" xml:id="intro.p3.p1.p1" about="#intro.p3.p1.p1">The Setup</dc:title>
- </metadata>
- <theory xmlns:mcd="http://www.w3.org/ns/mathml-cd" xml:id="setup" about="#setup" stex:srcref="paper.tex#textrange(from=36;0,to=62;13)">
- <imports from="../../../slides/extcds/omstd/arith1.omdoc#arith1"/>
- <imports from="../../../slides/extcds/omstd/relation1.omdoc#relation1"/>
- <symbol name="target" xml:id="target.def.sym" about="#target.def.sym" stex:srcref="paper.tex#textrange(from=37;0,to=44;20)"/>
- <symbol name="module" xml:id="module.def.sym" about="#module.def.sym" stex:srcref="paper.tex#textrange(from=37;0,to=44;20)"/>
- <definition for="target module" xml:id="setup.p3" about="#setup.p3" stex:srcref="paper.tex#textrange(from=37;0,to=44;20)">
- <CMP xml:id="setup.p3.p1" about="#setup.p3.p1" stex:srcref="paper.tex#textrange(from=37;0,to=44;20)">
- <p xml:id="setup.p3.p1.p1" about="#setup.p3.p1.p1" stex:srcref="paper.tex#textrange(from=37;0,to=44;20)">
-The source of this note is contained in the file <phrase class="code" xml:id="setup.p3.p1.p1.p1" about="#setup.p3.p1.p1.p1" stex:srcref="paper.tex#textrange(from=37;13,to=38;74)">paper.tex</phrase>. We call it
-the <idx xml:id="setup.p3.p1.p1.p2" about="#setup.p3.p1.p1.p2" stex:srcref="paper.tex#textrange(from=38;59,to=39;25)"><idt><term cd="setup" name="target" role="definiendum" xml:id="setup.p3.p1.p1.p2.p1" about="#setup.p3.p1.p1.p2.p1" stex:srcref="paper.tex#textrange(from=38;59,to=39;25)">target</term></idt><ide index="default"><idp>target</idp></ide></idx>, since formatting it with LaTeX will generate the main
-document. The content in Section <ref type="cite" xref="sec.contfuncs" xml:id="setup.p3.p1.p1.p3" about="#setup.p3.p1.p1.p3" stex:srcref="paper.tex#textrange(from=39;33,to=40;52)"/> and Section <ref type="cite" xref="sec.differentiable" xml:id="setup.p3.p1.p1.p4" about="#setup.p3.p1.p1.p4" stex:srcref="paper.tex#textrange(from=39;1,to=40;84)"/>
-comes from included files <phrase class="code" xml:id="setup.p3.p1.p1.p5" about="#setup.p3.p1.p1.p5" stex:srcref="paper.tex#textrange(from=40;5,to=41;56)">continuous.tex</phrase> and
-<phrase class="code" xml:id="setup.p3.p1.p1.p6" about="#setup.p3.p1.p1.p6" stex:srcref="paper.tex#textrange(from=41;54,to=42;34)">differentiable.tex</phrase>, we will call them <idx xml:id="setup.p3.p1.p1.p7" about="#setup.p3.p1.p1.p7" stex:srcref="paper.tex#textrange(from=41;18,to=42;70)"><idt><term cd="setup" name="module" role="definiendum" xml:id="setup.p3.p1.p1.p7.p1" about="#setup.p3.p1.p1.p7.p1" stex:srcref="paper.tex#textrange(from=41;18,to=42;70)">module</term></idt><ide index="default"><idp>module</idp></ide></idx>s, since they may
-be used (i.e. included) by other target documents as well.
-</p>
- </CMP>
- </definition>
- <omtext xml:id="setup.p4" about="#setup.p4" stex:srcref="paper.tex#textrange(from=36;0,to=54;19)">
- <CMP xml:id="setup.p4.p1" about="#setup.p4.p1" stex:srcref="paper.tex#textrange(from=36;0,to=54;19)">As the modules are built for inclusion into other documents, they are not
-self-contained:
-</CMP>
- </omtext>
- <omgroup layout="enumerate" xml:id="I1" about="#I1" stex:srcref="paper.tex#textrange(from=47;0,to=54;19)">
- <omtext xml:id="I1.p1" about="#I1.p1" stex:srcref="paper.tex#textrange(from=47;42,to=48;11)">
- <CMP xml:id="I1.p1.p1" about="#I1.p1.p1" stex:srcref="paper.tex#textrange(from=47;42,to=48;11)">
- <p xml:id="I1.p1.p1.p1" about="#I1.p1.p1.p1" stex:srcref="paper.tex#textrange(from=47;42,to=48;11)">they do not contain a LaTeX preamble and
-<phrase><omlet action="display" data="#id36156444" show="embed" style="" font="typewriter"/>/<omlet action="display" data="#id36151430" show="embed" style="" font="typewriter"/>, and
-</phrase></p>
- </CMP>
- </omtext>
- <omtext xml:id="I1.p2" about="#I1.p2" stex:srcref="paper.tex#textrange(from=49;76,to=50;11)">
- <CMP xml:id="I1.p2.p1" about="#I1.p2.p1" stex:srcref="paper.tex#textrange(from=49;76,to=50;11)">
- <p xml:id="I1.p2.p1.p1" about="#I1.p2.p1.p1" stex:srcref="paper.tex#textrange(from=49;76,to=50;11)">they may depend on other modules, whose semantic macros they need to include,
-</p>
- </CMP>
- </omtext>
- <omtext xml:id="I1.p3" about="#I1.p3" stex:srcref="paper.tex#textrange(from=50;75,to=51;11)">
- <CMP xml:id="I1.p3.p1" about="#I1.p3.p1" stex:srcref="paper.tex#textrange(from=50;75,to=51;11)">
- <p xml:id="I1.p3.p1.p1" about="#I1.p3.p1.p1" stex:srcref="paper.tex#textrange(from=50;75,to=51;11)">to facilitate this a module file <phrase class="code" xml:id="I1.p3.p1.p1.p1" about="#I1.p3.p1.p1.p1" stex:srcref="paper.tex#textrange(from=50;25,to=51;61)">modf.tex</phrase> comes with a &#x201C;semantic
-macro short form&#x201D; <phrase class="code" xml:id="I1.p3.p1.p1.p2" about="#I1.p3.p1.p1.p2" stex:srcref="paper.tex#textrange(from=51;41,to=52;43)">modf.sms</phrase> that can be included without generating
-output in the PDF.
-</p>
- </CMP>
- </omtext>
- </omgroup>
- <symbol name="background-module" xml:id="background-module.def.sym"/>
- <omtext xml:id="setup.p6" about="#setup.p6" stex:srcref="paper.tex#textrange(from=36;0,to=62;13)">
- <CMP xml:id="setup.p6.p1" about="#setup.p6.p1" stex:srcref="paper.tex#textrange(from=36;0,to=62;13)">this will have consequences for the automation. Concretely, the module on
-differentiable functions in Section <ref type="cite" xref="sec.differentiable" xml:id="setup.p6.p1.p1" about="#setup.p6.p1.p1" stex:srcref="paper.tex#textrange(from=55;32,to=56;58)"/> depends on that for continuous
-functions in Section <ref type="cite" xref="sec.contfuncs" xml:id="setup.p6.p1.p2" about="#setup.p6.p1.p2" stex:srcref="paper.tex#textrange(from=56;51,to=57;38)"/>. Both of them depend on modules for real numbers,
-sets and functions that we do not want to cover in this note. <phrase for="background-module" type="inlinedef" xml:id="setup.p6.p1.p3" about="#setup.p6.p1.p3" stex:srcref="paper.tex#textrange(from=59;17,to=60;69)">We assume that
-they have already been marked up with the same methods as we describe here and are
-accessible to us and call them <idx xml:id="setup.p6.p1.p3.p1" about="#setup.p6.p1.p3.p1" stex:srcref="paper.tex#textrange(from=59;17,to=60;69)"><idt><term cd="setup" name="background-module" role="definiendum" xml:id="setup.p6.p1.p3.p1.p1" about="#setup.p6.p1.p3.p1.p1" stex:srcref="paper.tex#textrange(from=59;17,to=60;69)">background module</term></idt><ide index="default"><idp>background</idp><idp>module</idp></ide></idx>s</phrase>. In our setup we
-keep them in the subdirectory <phrase class="code" xml:id="setup.p6.p1.p4" about="#setup.p6.p1.p4" stex:srcref="paper.tex#textrange(from=60;2,to=61;54)">background</phrase>.
-</CMP>
- </omtext>
- </theory>
- </omgroup>
- <omgroup layout="sectioning" xml:id="intro.p4" about="#intro.p4" stex:srcref="paper.tex#textrange(from=65;0,to=73;13)">
- <metadata xml:id="intro.p4.p1" about="#intro.p4.p1" stex:srcref="paper.tex#textrange(from=65;0,to=65;51)">
- <dc:title stex:srcref="paper.tex#textrange(from=65;0,to=73;13)" xml:id="intro.p4.p1.p1" about="#intro.p4.p1.p1">Formatting and OMDoc conversion</dc:title>
- </metadata>
- <omtext xml:id="intro.p4.p2" about="#intro.p4.p2" stex:srcref="paper.tex#textrange(from=65;0,to=73;13)">
- <CMP xml:id="intro.p4.p2.p1" about="#intro.p4.p2.p1" stex:srcref="paper.tex#textrange(from=65;0,to=73;13)">To format an <phrase xml:id="intro.p4.p2.p1.p1" about="#intro.p4.p2.p1.p1" stex:srcref="paper.tex#textrange(from=65;68,to=66;21)">sTeX</phrase> document &#x2014; i.e. to produce a PDF file from the <phrase xml:id="intro.p4.p2.p1.p2" about="#intro.p4.p2.p1.p2" stex:srcref="paper.tex#textrange(from=65;11,to=66;78)">sTeX</phrase> marked-up
-sources &#x2014; we only need to run the <phrase class="code" xml:id="intro.p4.p2.p1.p3" about="#intro.p4.p2.p1.p3" stex:srcref="paper.tex#textrange(from=66;34,to=67;56)">pdflatex</phrase> program over the target document
-&#x2014; assuming that all modules (regular or background) have semantic macro short forms.
-To convert an <phrase xml:id="intro.p4.p2.p1.p4" about="#intro.p4.p2.p1.p4" stex:srcref="paper.tex#textrange(from=69;66,to=70;22)">sTeX</phrase> document to OMDoc, we need to run <phrase class="code" xml:id="intro.p4.p2.p1.p5" about="#intro.p4.p2.p1.p5" stex:srcref="paper.tex#textrange(from=69;10,to=70;78)">latexml</phrase> over it,
-post-process the result by <phrase class="code" xml:id="intro.p4.p2.p1.p6" about="#intro.p4.p2.p1.p6" stex:srcref="paper.tex#textrange(from=70;41,to=71;50)">latexmlpost</phrase>, and finally massage away all remaining
-LaTeXML islands with a stylesheet, see &#xA0;<citation xmlns:mcd="http://www.w3.org/ns/mathml-cd" bibrefs="kohlhase:ssmtl*"/> for details.
-</CMP>
- </omtext>
- </omgroup>
- <omgroup layout="sectioning" xml:id="intro.p5" about="#intro.p5" stex:srcref="paper.tex#textrange(from=75;0,to=108;13)">
- <metadata xml:id="intro.p5.p1" about="#intro.p5.p1" stex:srcref="paper.tex#textrange(from=75;0,to=75;42)">
- <dc:title stex:srcref="paper.tex#textrange(from=75;0,to=108;13)" xml:id="intro.p5.p1.p1" about="#intro.p5.p1.p1">Makefile-based Automation</dc:title>
- </metadata>
- <omtext xml:id="intro.p5.p2" about="#intro.p5.p2" stex:srcref="paper.tex#textrange(from=75;0,to=87;19)">
- <CMP xml:id="intro.p5.p2.p1" about="#intro.p5.p2.p1" stex:srcref="paper.tex#textrange(from=75;0,to=87;19)">As the conversion to OMDoc is rather complex (the programs in the three steps take a
-variety of options), we support an automation by Unix Makefiles. There are three main
-<phrase class="code" xml:id="intro.p5.p2.p1.p1" about="#intro.p5.p2.p1.p1" stex:srcref="paper.tex#textrange(from=77;10,to=78;16)">make</phrase> targets.
-</CMP>
- </omtext>
- <omgroup layout="description" xml:id="I2" about="#I2" stex:srcref="paper.tex#textrange(from=79;0,to=87;19)">
- <omtext xml:id="I2.p1" about="#I2.p1" stex:srcref="paper.tex#textrange(from=79;53,to=80;31)">
- <metadata xml:id="I2.p1.p1" about="#I2.p1.p1" stex:srcref="paper.tex#textrange(from=79;53,to=80;31)">
- <dc:title xml:id="I2.p1.p1.p1" about="#I2.p1.p1.p1" stex:srcref="paper.tex#textrange(from=79;53,to=80;31)">
- <phrase class="code" xml:id="I2.p1.p1.p1.p1" about="#I2.p1.p1.p1.p1" stex:srcref="paper.tex#textrange(from=79;53,to=80;31)">make omdoc</phrase>
- </dc:title>
- </metadata>
- <CMP xml:id="I2.p1.p2" about="#I2.p1.p2" stex:srcref="paper.tex#textrange(from=79;53,to=80;31)">
- <p xml:id="I2.p1.p2.p1" about="#I2.p1.p2.p1" stex:srcref="paper.tex#textrange(from=79;53,to=80;31)">will trigger the OMDoc transformation of the target
-document.
-</p>
- </CMP>
- </omtext>
- <omtext xml:id="I2.p2" about="#I2.p2" stex:srcref="paper.tex#textrange(from=81;55,to=82;31)">
- <metadata xml:id="I2.p2.p1" about="#I2.p2.p1" stex:srcref="paper.tex#textrange(from=81;55,to=82;31)">
- <dc:title xml:id="I2.p2.p1.p1" about="#I2.p2.p1.p1" stex:srcref="paper.tex#textrange(from=81;55,to=82;31)">
- <phrase class="code" xml:id="I2.p2.p1.p1.p1" about="#I2.p2.p1.p1.p1" stex:srcref="paper.tex#textrange(from=81;55,to=82;31)">make mods</phrase>
- </dc:title>
- </metadata>
- <CMP xml:id="I2.p2.p2" about="#I2.p2.p2" stex:srcref="paper.tex#textrange(from=81;55,to=82;31)">
- <p xml:id="I2.p2.p2.p1" about="#I2.p2.p2.p1" stex:srcref="paper.tex#textrange(from=81;55,to=82;31)">will trigger the OMDoc transformation of the modules.
-</p>
- </CMP>
- </omtext>
- <omtext xml:id="I2.p3" about="#I2.p3" stex:srcref="paper.tex#textrange(from=82;46,to=83;30)">
- <metadata xml:id="I2.p3.p1" about="#I2.p3.p1" stex:srcref="paper.tex#textrange(from=82;46,to=83;30)">
- <dc:title xml:id="I2.p3.p1.p1" about="#I2.p3.p1.p1" stex:srcref="paper.tex#textrange(from=82;46,to=83;30)">
- <phrase class="code" xml:id="I2.p3.p1.p1.p1" about="#I2.p3.p1.p1.p1" stex:srcref="paper.tex#textrange(from=82;46,to=83;30)">make pdf</phrase>
- </dc:title>
- </metadata>
- <CMP xml:id="I2.p3.p2" about="#I2.p3.p2" stex:srcref="paper.tex#textrange(from=82;46,to=83;30)">
- <p xml:id="I2.p3.p2.p1" about="#I2.p3.p2.p1" stex:srcref="paper.tex#textrange(from=82;46,to=83;30)">will trigger the LaTeX formatting the target
-</p>
- </CMP>
- </omtext>
- <omtext xml:id="I2.p4" about="#I2.p4" stex:srcref="paper.tex#textrange(from=83;47,to=84;31)">
- <metadata xml:id="I2.p4.p1" about="#I2.p4.p1" stex:srcref="paper.tex#textrange(from=83;47,to=84;31)">
- <dc:title xml:id="I2.p4.p1.p1" about="#I2.p4.p1.p1" stex:srcref="paper.tex#textrange(from=83;47,to=84;31)">
- <phrase class="code" xml:id="I2.p4.p1.p1.p1" about="#I2.p4.p1.p1.p1" stex:srcref="paper.tex#textrange(from=83;47,to=84;31)">make mpdf</phrase>
- </dc:title>
- </metadata>
- <CMP xml:id="I2.p4.p2" about="#I2.p4.p2" stex:srcref="paper.tex#textrange(from=83;47,to=84;31)">
- <p xml:id="I2.p4.p2.p1" about="#I2.p4.p2.p1" stex:srcref="paper.tex#textrange(from=83;47,to=84;31)">will trigger the LaTeX formatting the modules
-</p>
- </CMP>
- </omtext>
- <omtext xml:id="I2.p5" about="#I2.p5" stex:srcref="paper.tex#textrange(from=84;57,to=85;30)">
- <metadata xml:id="I2.p5.p1" about="#I2.p5.p1" stex:srcref="paper.tex#textrange(from=84;57,to=85;30)">
- <dc:title xml:id="I2.p5.p1.p1" about="#I2.p5.p1.p1" stex:srcref="paper.tex#textrange(from=84;57,to=85;30)">
- <phrase class="code" xml:id="I2.p5.p1.p1.p1" about="#I2.p5.p1.p1.p1" stex:srcref="paper.tex#textrange(from=84;57,to=85;30)">make sms</phrase>
- </dc:title>
- </metadata>
- <CMP xml:id="I2.p5.p2" about="#I2.p5.p2" stex:srcref="paper.tex#textrange(from=84;57,to=85;30)">
- <p xml:id="I2.p5.p2.p1" about="#I2.p5.p2.p1" stex:srcref="paper.tex#textrange(from=84;57,to=85;30)">will trigger the re-generation of all semantic macro short
-forms of modules (this is implicitly called in all the other <phrase class="code" xml:id="I2.p5.p2.p1.p1" about="#I2.p5.p2.p1.p1" stex:srcref="paper.tex#textrange(from=85;10,to=86;79)">make</phrase> targets)
-</p>
- </CMP>
- </omtext>
- </omgroup>
- <omtext xml:id="intro.p5.p4" about="#intro.p5.p4" stex:srcref="paper.tex#textrange(from=75;0,to=108;13)">
- <CMP xml:id="intro.p5.p4.p1" about="#intro.p5.p4.p1" stex:srcref="paper.tex#textrange(from=75;0,to=108;13)">To use this, we need to set up a <phrase class="code" xml:id="intro.p5.p4.p1.p1" about="#intro.p5.p4.p1.p1" stex:srcref="paper.tex#textrange(from=87;24,to=88;55)">Makefile</phrase> of the following form:
-
-<omlet xmlns:mcd="http://www.w3.org/ns/mathml-cd" action="display" show="embed" style="display:block" class="language_make" xml:id="LSTx1"><code><data format="listingblock"><table class="listing"><tr><td/><td>STEXDIR&#xA0;=&#xA0;../..</td></tr><tr><td>2</td><td>TARGET&#xA0;=&#xA0;paper.tex</td></tr><tr><td/><td>MODSLIBDIR&#xA0;=&#xA0;../background</td></tr><tr><td>4</td><td/></tr><tr><td/><td>include&#xA0;$(STEXDIR)/make/Makefile.vars</td></tr><tr><td>6</td><td>all:&#xA0;omdoc&#xA0;mods&#xA0;pdf</td></tr><tr><td/><td>include&#xA0;$(STEXDIR)/make/Makefile.in</td></tr></table></data></code></omlet>
-The variable <phrase xmlns:mcd="http://www.w3.org/ns/mathml-cd" class="listing ">STEXDIR</phrase> has to be set to the main directory of the <phrase xml:id="intro.p5.p4.p1.p3" about="#intro.p5.p4.p1.p3" stex:srcref="paper.tex#textrange(from=92;1,to=93;86)">sTeX</phrase>
-distribution. The variable <phrase xmlns:mcd="http://www.w3.org/ns/mathml-cd" class="listing ">TARGET</phrase> specifies the target document (all other
-<phrase class="code" xml:id="intro.p5.p4.p1.p4" about="#intro.p5.p4.p1.p4" stex:srcref="paper.tex#textrange(from=94;73,to=95;17)">*.tex</phrase> files that are not excluded in the <phrase xmlns:mcd="http://www.w3.org/ns/mathml-cd" class="listing ">BUTFILES</phrase> variables are
-considered as modules). Here, the <phrase class="code" xml:id="intro.p5.p4.p1.p5" about="#intro.p5.p4.p1.p5" stex:srcref="paper.tex#textrange(from=95;32,to=96;56)">background</phrase> directory for convenience. The
-<phrase xmlns:mcd="http://www.w3.org/ns/mathml-cd" class="listing ">MODSLIBDIR</phrase> specifies the location of the prefix and postfix files
-<phrase class="code" xml:id="intro.p5.p4.p1.p6" about="#intro.p5.p4.p1.p6" stex:srcref="paper.tex#textrange(from=97;68,to=98;19)">pre.tex</phrase> and <phrase class="code" xml:id="intro.p5.p4.p1.p7" about="#intro.p5.p4.p1.p7" stex:srcref="paper.tex#textrange(from=97;44,to=98;43)">post.tex</phrase> that will be prepended and appended to the
-modules to make them into complete files TeX files that can be converted. The last
-three lines just include the Makefiles from the <phrase xml:id="intro.p5.p4.p1.p8" about="#intro.p5.p4.p1.p8" stex:srcref="paper.tex#textrange(from=99;32,to=100;56)">sTeX</phrase> distribution and configure the
-default make target (<phrase class="code" xml:id="intro.p5.p4.p1.p9" about="#intro.p5.p4.p1.p9" stex:srcref="paper.tex#textrange(from=100;31,to=101;40)">make all</phrase>) to be produce the pdf version
-Note that in the directory <phrase class="code" xml:id="intro.p5.p4.p1.p10" about="#intro.p5.p4.p1.p10" stex:srcref="paper.tex#textrange(from=102;36,to=103;49)">background</phrase> we have a very similar Makefile as
-above. The only differences are that the variable <phrase xmlns:mcd="http://www.w3.org/ns/mathml-cd" class="listing ">STEXDIR</phrase> is adapted and
-that the <phrase xmlns:mcd="http://www.w3.org/ns/mathml-cd" class="listing ">BUTFILE</phrase> variable is set to <phrase class="code" xml:id="intro.p5.p4.p1.p11" about="#intro.p5.p4.p1.p11" stex:srcref="paper.tex#textrange(from=104;5,to=105;69)">pre.tex</phrase> and
-<phrase class="code" xml:id="intro.p5.p4.p1.p12" about="#intro.p5.p4.p1.p12" stex:srcref="paper.tex#textrange(from=105;51,to=106;20)">post.tex</phrase>, so that they are not converted. In the directory
-<phrase class="code" xml:id="intro.p5.p4.p1.p13" about="#intro.p5.p4.p1.p13" stex:srcref="paper.tex#textrange(from=106;56,to=107;22)">background</phrase> we have followed good practice by establishing a phony
-</CMP>
- </omtext>
- </omgroup>
- </omgroup>
- <omgroup layout="sectioning" xml:id="sec.math" about="#sec.math" stex:srcref="paper.tex#textrange(from=112;0,to=116;13)">
- <metadata xml:id="sec.math.p1" about="#sec.math.p1" stex:srcref="paper.tex#textrange(from=112;0,to=112;50)">
- <dc:title stex:srcref="paper.tex#textrange(from=112;0,to=116;13)" xml:id="sec.math.p1.p1" about="#sec.math.p1.p1">Mathematical Content</dc:title>
- </metadata>
- <omtext xml:id="sec.math.p2" about="#sec.math.p2" stex:srcref="paper.tex#textrange(from=112;0,to=13;13)">
- <CMP xml:id="sec.math.p2.p1" about="#sec.math.p2.p1" stex:srcref="paper.tex#textrange(from=112;0,to=13;13)">We present some standard mathematical definitions, here from calculus.
-</CMP>
- </omtext>
- <omgroup layout="sectioning" xml:id="sec.contfuncs" about="#sec.contfuncs" stex:srcref="continuous.tex#textrange(from=1;0,to=13;13)">
- <metadata xml:id="sec.contfuncs.p1" about="#sec.contfuncs.p1" stex:srcref="continuous.tex#textrange(from=1;0,to=12;12)">
- <dc:title stex:srcref="continuous.tex#textrange(from=1;0,to=13;13)" xml:id="sec.contfuncs.p1.p1" about="#sec.contfuncs.p1.p1">Continuous Functions</dc:title>
- </metadata>
- <theory xmlns:mcd="http://www.w3.org/ns/mathml-cd" xml:id="continuous" about="#continuous" stex:srcref="continuous.tex#textrange(from=2;0,to=12;12)">
- <imports from="../../../slides/extcds/omstd/arith1.omdoc#arith1"/>
- <imports from="../../../slides/extcds/omstd/relation1.omdoc#relation1"/>
- <imports from="../background/functions.omdoc#functions" xml:id="continuous.p1" about="#continuous.p1" stex:srcref="continuous.tex#textrange(from=3;0,to=3;46)"/>
- <imports from="../background/reals.omdoc#reals" xml:id="continuous.p2" about="#continuous.p2" stex:srcref="continuous.tex#textrange(from=4;0,to=4;38)"/>
- <symbol name="continuousfunctions" xml:id="continuousfunctions.sym" about="#continuousfunctions.sym" stex:srcref="continuous.tex#textrange(from=5;1,to=5;54)"/>
- <notation cd="continuous" name="continuousfunctions">
- <prototype>
- <om:OMA>
- <om:OMS cd="continuous" cr="fun" name="continuousfunctions"/>
- <expr name="arg1"/>
- <expr name="arg2"/>
- </om:OMA>
- </prototype>
- <rendering>
- <m:mrow>
- <m:msup>
- <m:mi mathvariant="script">C</m:mi>
- <m:mn>0</m:mn>
- </m:msup>
- <m:mo>&#x2062;</m:mo>
- <m:mfenced open="(" close=")">
- <m:mrow>
- <render name="arg1"/>
- <m:mo>,</m:mo>
- <render name="arg2"/>
- </m:mrow>
- </m:mfenced>
- </m:mrow>
- </rendering>
- </notation>
- <symbol name="continuous" xml:id="continuous.def.sym" about="#continuous.def.sym" stex:srcref="continuous.tex#textrange(from=7;1,to=11;16)"/>
- <definition for="continuous" xml:id="continuous.p5" about="#continuous.p5" stex:srcref="continuous.tex#textrange(from=7;1,to=11;16)">
- <CMP xml:id="continuous.p5.p1" about="#continuous.p5.p1" stex:srcref="continuous.tex#textrange(from=7;1,to=11;16)">
- <p xml:id="continuous.p5.p1.p1" about="#continuous.p5.p1.p1" stex:srcref="continuous.tex#textrange(from=7;1,to=11;16)">
-A function <om:OMOBJ><om:OMA><om:OMS cd="functions" name="fun"/><om:OMV name="f"/><om:OMS cd="reals" name="RealNumbers"/><om:OMS cd="reals" name="RealNumbers"/></om:OMA></om:OMOBJ> is called <idx xml:id="continuous.p5.p1.p1.p2" about="#continuous.p5.p1.p1.p2" stex:srcref="continuous.tex#textrange(from=7;4,to=8;76)"><idt><term cd="continuous" name="continuous" role="definiendum" xml:id="continuous.p5.p1.p1.p2.p1" about="#continuous.p5.p1.p1.p2.p1" stex:srcref="continuous.tex#textrange(from=7;4,to=8;76)">continuous</term></idt><ide index="default"><idp>continuous</idp></ide></idx> at
-<om:OMOBJ><om:OMA><om:OMS cd="functions" name="inset"/><om:OMV name="x"/><om:OMS cd="reals" name="RealNumbers"/></om:OMA></om:OMOBJ>, iff for all <om:OMOBJ><om:OMA><om:OMS cd="relation1" name="gt"/><om:OMV name="&#x3F5;"/><om:OMI>0</om:OMI></om:OMA></om:OMOBJ> there is a <om:OMOBJ><om:OMA><om:OMS cd="relation1" name="gt"/><om:OMV name="&#x3B4;"/><om:OMI>0</om:OMI></om:OMA></om:OMOBJ>, such that
-<om:OMOBJ><om:OMA><om:OMS cd="relation1" name="lt"/><om:OMA><om:OMS cd="reals" name="absval"/><om:OMA><om:OMS cd="arith1" name="minus"/><om:OMA><om:OMS cd="arith1" name="times"/><om:OMV name="f"/><om:OMV name="x"/></om:OMA><om:OMA><om:OMS cd="arith1" name="times"/><om:OMV name="f"/><om:OMV name="y"/></om:OMA></om:OMA></om:OMA><om:OMV name="&#x3F5;"/></om:OMA></om:OMOBJ> for all <om:OMOBJ><om:OMA><om:OMS cd="relation1" name="lt"/><om:OMA><om:OMS cd="reals" name="absval"/><om:OMA><om:OMS cd="arith1" name="minus"/><om:OMV name="x"/><om:OMV name="y"/></om:OMA></om:OMA><om:OMV name="&#x3B4;"/></om:OMA></om:OMOBJ></p>
- </CMP>
- </definition>
- </theory>
- </omgroup>
- <omgroup layout="sectioning" xml:id="sec.differentiable" about="#sec.differentiable" stex:srcref="differentiable.tex#textrange(from=1;0,to=12;13)">
- <metadata xml:id="sec.differentiable.p1" about="#sec.differentiable.p1" stex:srcref="differentiable.tex#textrange(from=1;0,to=11;12)">
- <dc:title stex:srcref="differentiable.tex#textrange(from=1;0,to=12;13)" xml:id="sec.differentiable.p1.p1" about="#sec.differentiable.p1.p1">Differentiable Functions</dc:title>
- </metadata>
- <theory xmlns:mcd="http://www.w3.org/ns/mathml-cd" xml:id="differentiable" about="#differentiable" stex:srcref="differentiable.tex#textrange(from=2;0,to=11;12)">
- <imports from="../../../slides/extcds/omstd/arith1.omdoc#arith1"/>
- <imports from="../../../slides/extcds/omstd/relation1.omdoc#relation1"/>
- <imports from="./continuous.omdoc#continuous" xml:id="differentiable.p1" about="#differentiable.p1" stex:srcref="differentiable.tex#textrange(from=3;0,to=3;37)"/>
- <symbol name="difffunctions" xml:id="difffunctions.sym" about="#difffunctions.sym" stex:srcref="differentiable.tex#textrange(from=4;1,to=4;48)"/>
- <notation cd="differentiable" name="difffunctions">
- <prototype>
- <om:OMA>
- <om:OMS cd="differentiable" cr="fun" name="difffunctions"/>
- <expr name="arg1"/>
- <expr name="arg2"/>
- </om:OMA>
- </prototype>
- <rendering>
- <m:mrow>
- <m:msup>
- <m:mi mathvariant="script">C</m:mi>
- <m:mn>1</m:mn>
- </m:msup>
- <m:mo>&#x2062;</m:mo>
- <m:mfenced open="(" close=")">
- <m:mrow>
- <render name="arg1"/>
- <m:mo>,</m:mo>
- <render name="arg2"/>
- </m:mrow>
- </m:mfenced>
- </m:mrow>
- </rendering>
- </notation>
- <symbol name="differentiable" xml:id="differentiable.def.sym" about="#differentiable.def.sym" stex:srcref="differentiable.tex#textrange(from=6;1,to=10;16)"/>
- <definition for="differentiable continuous" xml:id="differentiable.p4" about="#differentiable.p4" stex:srcref="differentiable.tex#textrange(from=6;1,to=10;16)">
- <CMP xml:id="differentiable.p4.p1" about="#differentiable.p4.p1" stex:srcref="differentiable.tex#textrange(from=6;1,to=10;16)">
- <p xml:id="differentiable.p4.p1.p1" about="#differentiable.p4.p1.p1" stex:srcref="differentiable.tex#textrange(from=6;1,to=10;16)">
-A function <om:OMOBJ><om:OMA><om:OMS cd="functions" name="fun"/><om:OMV name="f"/><om:OMS cd="reals" name="RealNumbers"/><om:OMS cd="reals" name="RealNumbers"/></om:OMA></om:OMOBJ> is called <idx xml:id="differentiable.p4.p1.p1.p2" about="#differentiable.p4.p1.p1.p2" stex:srcref="differentiable.tex#textrange(from=6;4,to=7;80)"><idt><term cd="differentiable" name="differentiable" role="definiendum" xml:id="differentiable.p4.p1.p1.p2.p1" about="#differentiable.p4.p1.p1.p2.p1" stex:srcref="differentiable.tex#textrange(from=6;4,to=7;80)">differentiable</term></idt><ide index="default"><idp>differentiable</idp></ide></idx> at
-<om:OMOBJ><om:OMA><om:OMS cd="functions" name="inset"/><om:OMV name="x"/><om:OMS cd="reals" name="RealNumbers"/></om:OMA></om:OMOBJ>, iff for all <om:OMOBJ><om:OMA><om:OMS cd="relation1" name="gt"/><om:OMV name="&#x3F5;"/><om:OMI>0</om:OMI></om:OMA></om:OMOBJ> there is a <om:OMOBJ><om:OMA><om:OMS cd="relation1" name="gt"/><om:OMV name="&#x3B4;"/><om:OMI>0</om:OMI></om:OMA></om:OMOBJ>, such that
-<om:OMOBJ><om:OMA><om:OMS cd="relation1" name="lt"/><om:OMA><om:OMS cd="reals" name="rfrac"/><om:OMA><om:OMS cd="reals" name="absval"/><om:OMA><om:OMS cd="arith1" name="minus"/><om:OMA><om:OMS cd="arith1" name="times"/><om:OMV name="f"/><om:OMV name="x"/></om:OMA><om:OMA><om:OMS cd="arith1" name="times"/><om:OMV name="f"/><om:OMV name="y"/></om:OMA></om:OMA></om:OMA><om:OMA><om:OMS cd="reals" name="absval"/><om:OMA><om:OMS cd="arith1" name="minus"/><om:OMV name="x"/><om:OMV name="y"/></om:OMA></om:OMA></om:OMA><om:OMV name="&#x3F5;"/></om:OMA></om:OMOBJ> for all <om:OMOBJ><om:OMA><om:OMS cd="relation1" name="lt"/><om:OMA><om:OMS cd="reals" name="absval"/><om:OMA><om:OMS cd="arith1" name="minus"/><om:OMV name="x"/><om:OMV name="y"/></om:OMA></om:OMA><om:OMV name="&#x3B4;"/></om:OMA></om:OMOBJ>.
-</p>
- </CMP>
- </definition>
- </theory>
- </omgroup>
- </omgroup>
- <omgroup layout="sectioning" xml:id="concl" about="#concl" stex:srcref="paper.tex#textrange(from=118;0,to=121;13)">
- <metadata xml:id="concl.p1" about="#concl.p1" stex:srcref="paper.tex#textrange(from=118;0,to=118;37)">
- <dc:title stex:srcref="paper.tex#textrange(from=118;0,to=121;13)" xml:id="concl.p1.p1" about="#concl.p1.p1">Conclusion</dc:title>
- </metadata>
- <omtext xml:id="concl.p2" about="#concl.p2" stex:srcref="paper.tex#textrange(from=118;0,to=121;13)">
- <CMP xml:id="concl.p2.p1" about="#concl.p2.p1" stex:srcref="paper.tex#textrange(from=118;0,to=121;13)">In this note we have given an example of standard mathematical markup and shown how a a
-<phrase xml:id="concl.p2.p1.p1" about="#concl.p2.p1.p1" stex:srcref="paper.tex#textrange(from=119;42,to=120;8)">sTeX</phrase> collection can be set up for automation.
-</CMP>
- </omtext>
- </omgroup>
- <bibliography files="kwarc"/>
- <!--The data elements-->
- <private xmlns:mcd="http://www.w3.org/ns/mathml-cd" xml:id="id36156444">
- <data format="text"><![CDATA[\begin]]></data>
- </private>
- <private xmlns:mcd="http://www.w3.org/ns/mathml-cd" xml:id="id36151430">
- <data format="text"><![CDATA[\end{document}]]></data>
- </private>
-</omdoc>