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Diffstat (limited to 'Master/texmf-dist/doc/latex/stex/example/paper/continuous.omdoc')
-rw-r--r-- | Master/texmf-dist/doc/latex/stex/example/paper/continuous.omdoc | 53 |
1 files changed, 53 insertions, 0 deletions
diff --git a/Master/texmf-dist/doc/latex/stex/example/paper/continuous.omdoc b/Master/texmf-dist/doc/latex/stex/example/paper/continuous.omdoc new file mode 100644 index 00000000000..d02a6d216e7 --- /dev/null +++ b/Master/texmf-dist/doc/latex/stex/example/paper/continuous.omdoc @@ -0,0 +1,53 @@ +<?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="Anonymous String#textrange(from=1;1,to=1;17)" xml:id="continuous.omdoc"> + <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"> + <p xml:id="sec.contfuncs.p1.p1.p1" about="#sec.contfuncs.p1.p1.p1" stex:srcref="continuous.tex#textrange(from=1;0,to=13;13)">Continuous Functions</p> + </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></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><phrase>continuous</phrase></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="ϵ"/><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="δ"/><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="ϵ"/></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="δ"/></om:OMA></om:OMOBJ></p> + </CMP> + </definition> + </theory> + </omgroup> + <!--The data elements--> +</omdoc> |