Re: Jupyter (.ipynb) to Word (docx.) incorrect results

Re: Jupyter (.ipynb) to Word (docx.) incorrect results

[John MacFarlane]

Richard Huntsinger <rhuntsinger-TVLZxgkOlNX2fBVCVOL8/A@public.gmane.org> writes:

>    - Headings numbered

This one is easy.  Use --number-sections in your pandoc conversion.
The specific numbering is not represented in the ipynb document;
this is added by Jupyter.

>    - Code cells hidden

You don't want the code to show, but just the output?
You can use a Lua filter for this.
This should do the trick:

```
function Div(el)
  if el.classes:includes("code") then
    if el.content[1].t == "CodeBlock" then
      el.content:remove(1)
    end
  end
  return el
end
```

Is the hiding of the code supposed to be triggered by
`"hide_input": "true"` in the code cell's metadata?
If so, we could make pandoc do this automatically.
You might submit a request (for just that one issue,
please) on the bug tracker.

>    - Latex math expressions presented correctly

The problem here is a slight mismatch between the
markdown variant Jupyter seems to be using and pandoc's.
Jupyter seems to allow a space after/before the `$`
delimiters for inline code:

$ distance = \\, \\sqrt{ (b_{z_1} - a_{z_1})^2 + (b_{z_2} - a_{z_2})^2 } $

In pandoc's markdown, this space is not allowed (reason: we don't
want to capture regular uses of $ as math).  So remove the space
and you should get good results:

$distance = \\, \\sqrt{ (b_{z_1} - a_{z_1})^2 + (b_{z_2} - a_{z_2})^2 }$

I would recommend also changing

distance

to

\text{distance}

because TeX will interpret

distance

as a sequence of individual variables rather than a word.

>    - Tables with images presented correctly

Your document contains a raw HTML table.  Pandoc parses this as
raw HTML, and it will display accordingly in HTML output. But
when you produce a docx, the raw HTML is ignored.

Possible solutions:

1.  Write this as a markdown table
2.  Use a Lua script that finds RawBlocks in the AST with format
"html" and converts them using pandoc.read to native pandoc
tables.

>    - Data.frame presented in same format as in Jupyter (pretty row-banded 
>    table)
>    - Kable data.frame presented in same format as in Jupyter (pretty 
>    row-banded table)

Pandoc is concerned with parsing structure and won't necessarily
format things the same way.  You can use a Lua filter to add
the needed classes to the table rows.

Re: Jupyter (.ipynb) to Word (docx.) incorrect results

[Richard Huntsinger]

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Thank you, John.  This is really helpful.

I=E2=80=99ve now tried two approaches to convert Jupyter to Word using cust=
om=20
template, css, and lua filter.  Approach #1 does render the html tables. =
=20
Approach #2 does render the math expression.  Images are rendered correctly=
=20
except for size.  So, I see it=E2=80=99s possible for pandoc to handle it a=
ll, be=20
it one piece at a time.  Can you provide guidance on how to get all this=20
functionality working together? =20

Here are my approach details.  Files attached, too.=20

FormatTest.ipynb is the Jupyter document to convert to a Word document. =20
FormatTest.jpg is a screen shot that shows how it should look.

Approach #1:=20

pandoc FormatTest.ipynb --from=3Dipynb --to=3Dhtml --self-contained=20
--template=3Drah.tpl --metadata=3Dtitle:FormatTest --mathjax --css=3Drah.cs=
s=20
--lua-filter=3Drah.lua --dpi=3D600 --output=3DFormatTest.html


   - FormatTest.html
      - First image *does not* center (it=E2=80=99s placed by markdown).
      - Math expression *does not* render right, rather it renders as=20
      characters.
      - *Does* show every else right.=20
  =20
pandoc FormatTest.html --from=3Dhtml --to=3Ddocx  --self-contained --mathja=
x=20
--dpi=3D600 --output=3DFormatTest1.docx


   - FormatTest1.docx
      - Heading format *does not* look the same (presumably this can be=20
      fixed by a Word style setting).
      - First image *does not* center (it=E2=80=99s placed by markdown).
      - Bullet list line spacing *does not* look the same (presumably this=
=20
      can be fixed by a Word style setting).
      - Math expression *does not* render at all.
      - Caption on second image *does not* show as right font.
      - Second image *does not* center, *does not* size right (it=E2=80=99s=
 placed=20
      as contents of html table).
      - Table *does not* format right, no stripes, border, or bold small=20
      font (presumably this can be fixed by a Word style setting).
      - Third image *does not* center, *does not* size right (it=E2=80=99s=
=20
      generated as ggplot output).
      - *Does* show everything else right, including image content.
  =20
Approach #2:

pandoc FormatTest.ipynb --from=3Dipynb --to=3Ddocx --self-contained --mathj=
ax=20
--lua-filter=3Drah.lua --dpi=3D600 --output=3DFormatTest2.docx


   - FormatText2.docx
      - Heading format *does not* look the same (presumably this can be=20
      fixed by a Word style setting).
      - First image *does not* center (it=E2=80=99s placed by markdown).
      - Bullet list line spacing *does not* look the same (presumably this=
=20
      can be fixed by a Word style setting).
      - Second image *does not* render at all (it=E2=80=99s placed as conte=
nts of=20
      html table).
      - Table *does not* render at all.
      - Third image *does not* center, *does not* size right (it=E2=80=99s=
=20
      generated as ggplot output).
      - *Does* show everything else right, including math expression +=20
      first and third image content.
  =20
On Monday, January 24, 2022 at 10:40:12 AM UTC-8 John MacFarlane wrote:

> Richard Huntsinger <rhunt...@berkeley.edu> writes:
>
> > - Headings numbered
>
> This one is easy. Use --number-sections in your pandoc conversion.
> The specific numbering is not represented in the ipynb document;
> this is added by Jupyter.
>
> > - Code cells hidden
>
> You don't want the code to show, but just the output?
> You can use a Lua filter for this.
> This should do the trick:
>
> ```
> function Div(el)
> if el.classes:includes("code") then
> if el.content[1].t =3D=3D "CodeBlock" then
> el.content:remove(1)
> end
> end
> return el
> end
> ```
>
> Is the hiding of the code supposed to be triggered by
> `"hide_input": "true"` in the code cell's metadata?
> If so, we could make pandoc do this automatically.
> You might submit a request (for just that one issue,
> please) on the bug tracker.
>
> > - Latex math expressions presented correctly
>
> The problem here is a slight mismatch between the
> markdown variant Jupyter seems to be using and pandoc's.
> Jupyter seems to allow a space after/before the `$`
> delimiters for inline code:
>
> $ distance =3D \\, \\sqrt{ (b_{z_1} - a_{z_1})^2 + (b_{z_2} - a_{z_2})^2 =
} $
>
> In pandoc's markdown, this space is not allowed (reason: we don't
> want to capture regular uses of $ as math). So remove the space
> and you should get good results:
>
> $distance =3D \\, \\sqrt{ (b_{z_1} - a_{z_1})^2 + (b_{z_2} - a_{z_2})^2 }=
$
>
> I would recommend also changing
>
> distance
>
> to
>
> \text{distance}
>
> because TeX will interpret
>
> distance
>
> as a sequence of individual variables rather than a word.
>
> > - Tables with images presented correctly
>
> Your document contains a raw HTML table. Pandoc parses this as
> raw HTML, and it will display accordingly in HTML output. But
> when you produce a docx, the raw HTML is ignored.
>
> Possible solutions:
>
> 1. Write this as a markdown table
> 2. Use a Lua script that finds RawBlocks in the AST with format
> "html" and converts them using pandoc.read to native pandoc
> tables.
>
> > - Data.frame presented in same format as in Jupyter (pretty row-banded=
=20
> > table)
> > - Kable data.frame presented in same format as in Jupyter (pretty=20
> > row-banded table)
>
> Pandoc is concerned with parsing structure and won't necessarily
> format things the same way. You can use a Lua filter to add
> the needed classes to the table rows.
>

--=20
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To unsubscribe from this group and stop receiving emails from it, send an e=
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Content-Transfer-Encoding: quoted-printable

<p>Thank you, John.&nbsp; This
is really helpful.</p>

<p>I=E2=80=99ve now tried two approaches to convert Jupyter to Word using
custom template, css, and lua filter.&nbsp;
Approach #1 does render the html tables.&nbsp;
Approach #2 does render the math expression.&nbsp; Images are rendered corr=
ectly except for
size.&nbsp; So, I see it=E2=80=99s possible for pandoc
to handle it all, be it one piece at a time.&nbsp;
Can you provide guidance on how to get all this functionality working toget=
her?
&nbsp;</p>

<p>Here are my approach details.&nbsp; Files attached, too. </p>

<p>FormatTest.ipynb is the Jupyter document to convert to a
Word document.&nbsp; FormatTest.jpg is a
screen shot that shows how it should look.</p>

<p>Approach #1: </p>

<p>pandoc FormatTest.ipynb --from=3Dipynb --to=3Dhtml --self-contained
--template=3Drah.tpl --metadata=3Dtitle:FormatTest --mathjax --css=3Drah.cs=
s --lua-filter=3Drah.lua
--dpi=3D600 --output=3DFormatTest.html</p>

<p></p><ul><li>FormatTest.html<ul><li>First image <b>does not</b> center (i=
t=E2=80=99s placed
by markdown).</li><li>Math expression <b>does not</b> render right,
rather it renders as characters.</li><li><b>Does</b> show every else right.=
 </li></ul></li></ul><p></p>







<p>pandoc FormatTest.html --from=3Dhtml --to=3Ddocx &nbsp;--self-contained =
--mathjax --dpi=3D600 --output=3DFormatTest1.docx</p>

<p></p><ul><li>FormatTest1.docx<ul><li>Heading format <b>does not</b> look =
the same
(presumably this can be fixed by a Word style setting).</li><li>First image=
 <b>does not</b> center (it=E2=80=99s placed
by markdown).</li><li>Bullet list line spacing <b>does not</b> look
the same (presumably this can be fixed by a Word style setting).</li><li>Ma=
th expression <b>does not</b> render at all.</li><li>Caption on second imag=
e <b>does not</b> show as right
font.</li><li>Second image <b>does not</b> center, <b>does not</b>
size right (it=E2=80=99s placed as contents of html table).</li><li>Table <=
b>does not</b> format right, no stripes,
border, or bold small font (presumably this can be fixed by a Word style se=
tting).</li><li>Third image <b>does not</b> center, <b>does not</b>
size right (it=E2=80=99s generated as ggplot output).</li><li><b>Does</b> s=
how everything else right, including
image content.</li></ul></li></ul><p></p>



















<p>Approach #2:</p>

<p>pandoc FormatTest.ipynb --from=3Dipynb --to=3Ddocx --self-contained
--mathjax --lua-filter=3Drah.lua --dpi=3D600 --output=3DFormatTest2.docx</p=
>

<p></p><ul><li>FormatText2.docx<ul><li>Heading format <b>does not</b> look =
the same
(presumably this can be fixed by a Word style setting).</li><li>First image=
 <b>does not</b> center (it=E2=80=99s placed
by markdown).</li><li>Bullet list line spacing <b>does not</b> look
the same (presumably this can be fixed by a Word style setting).</li><li>Se=
cond image <b>does not</b> render at all (it=E2=80=99s
placed as contents of html table).</li><li>Table <b>does not</b> render at =
all.</li><li>Third image <b>does not</b> center, <b>does not</b>
size right (it=E2=80=99s generated as ggplot output).</li><li><b>Does</b> s=
how everything else right, including
math expression + first and third image content.</li></ul></li></ul><p></p>













<div class=3D"gmail_quote"><div dir=3D"auto" class=3D"gmail_attr">On Monday=
, January 24, 2022 at 10:40:12 AM UTC-8 John MacFarlane wrote:<br/></div><b=
lockquote class=3D"gmail_quote" style=3D"margin: 0 0 0 0.8ex; border-left: =
1px solid rgb(204, 204, 204); padding-left: 1ex;">Richard Huntsinger &lt;<a=
 href data-email-masked rel=3D"nofollow">rhunt...@berkeley.edu</a>&gt; writ=
es:
<br>
<br>&gt;    - Headings numbered
<br>
<br>This one is easy.  Use --number-sections in your pandoc conversion.
<br>The specific numbering is not represented in the ipynb document;
<br>this is added by Jupyter.
<br>
<br>&gt;    - Code cells hidden
<br>
<br>You don&#39;t want the code to show, but just the output?
<br>You can use a Lua filter for this.
<br>This should do the trick:
<br>
<br>```
<br>function Div(el)
<br>  if el.classes:includes(&quot;code&quot;) then
<br>    if el.content[1].t =3D=3D &quot;CodeBlock&quot; then
<br>      el.content:remove(1)
<br>    end
<br>  end
<br>  return el
<br>end
<br>```
<br>
<br>Is the hiding of the code supposed to be triggered by
<br>`&quot;hide_input&quot;: &quot;true&quot;` in the code cell&#39;s metad=
ata?
<br>If so, we could make pandoc do this automatically.
<br>You might submit a request (for just that one issue,
<br>please) on the bug tracker.
<br>
<br>&gt;    - Latex math expressions presented correctly
<br>
<br>The problem here is a slight mismatch between the
<br>markdown variant Jupyter seems to be using and pandoc&#39;s.
<br>Jupyter seems to allow a space after/before the `$`
<br>delimiters for inline code:
<br>
<br>$ distance =3D \\, \\sqrt{ (b_{z_1} - a_{z_1})^2 + (b_{z_2} - a_{z_2})^=
2 } $
<br>
<br>In pandoc&#39;s markdown, this space is not allowed (reason: we don&#39=
;t
<br>want to capture regular uses of $ as math).  So remove the space
<br>and you should get good results:
<br>
<br>$distance =3D \\, \\sqrt{ (b_{z_1} - a_{z_1})^2 + (b_{z_2} - a_{z_2})^2=
 }$
<br>
<br>I would recommend also changing
<br>
<br>distance
<br>
<br>to
<br>
<br>\text{distance}
<br>
<br>because TeX will interpret
<br>
<br>distance
<br>
<br>as a sequence of individual variables rather than a word.
<br>
<br>&gt;    - Tables with images presented correctly
<br>
<br>Your document contains a raw HTML table.  Pandoc parses this as
<br>raw HTML, and it will display accordingly in HTML output. But
<br>when you produce a docx, the raw HTML is ignored.
<br>
<br>Possible solutions:
<br>
<br>1.  Write this as a markdown table
<br>2.  Use a Lua script that finds RawBlocks in the AST with format
<br>&quot;html&quot; and converts them using pandoc.read to native pandoc
<br>tables.
<br>
<br>&gt;    - Data.frame presented in same format as in Jupyter (pretty row=
-banded=20
<br>&gt;    table)
<br>&gt;    - Kable data.frame presented in same format as in Jupyter (pret=
ty=20
<br>&gt;    row-banded table)
<br>
<br>Pandoc is concerned with parsing structure and won&#39;t necessarily
<br>format things the same way.  You can use a Lua filter to add
<br>the needed classes to the table rows.
<br></blockquote></div>

<p></p>

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body {
 font-family: sans-serif;
 margin: 30px 100px 100px 100px;
 font-size: 14px;
}


h1, h2, h3, h4, h5 {
 font-family: sans-serif;
 margin: 4px 2px 3px 2px;
 font-style: normal;
 font-weight: normal;
}

h1:first-child,
h2:first-child,
h3:first-child,
h4:first-child,
h5:first-child,
h6:first-child {
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}

h1 {
 font-size: 250%;
 padding: 10px 0px 10px 0px;
}

h2 {
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}

h3 {
 color: #126dce;
 font-size: 110%;
 padding: 25px 0px 0px 0px;
}

h4 {
 color: #126dce;
 font-size: 100%;
}

h5 {
 color: #126dce;
 font-size: 100%;
}



 table {
  margin-bottom: 20px;
  border-collapse: collapse;
  margin-left: auto;
  margin-right: auto;
  font-size: 12px;
}

caption {
  color: gray;
}

th, td {
 padding: 5px;
}

th {
  background-color: white;
  border-bottom: 1px solid;
  text-align: right;
}

td {
  text-align: right;
  vertical-align: top;
}

tr:nth-child(odd) {background-color: #f2f2f2;}



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Content-Transfer-Encoding: quoted-printable
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s())),i=3Do.next();!i.done;i=3Do.next()){var a=3Di.value;r+=3Da+": "+this.c=
onfiguration.handlers.get(a)+"\n"}}catch(e){t=3D{error:e}}finally{try{i&&!i=
.done&&(e=3Do.return)&&e.call(o)}finally{if(t)throw t.error}}return r},t.pr=
ototype.Parse=3Dfunction(){for(var t;this.i<this.string.length;)t=3Dthis.ge=
tCodePoint(),this.i+=3Dt.length,this.parse("character",[this,t])},t.prototy=
pe.Push=3Dfunction(t){t instanceof c.AbstractMmlNode&&t.isInferred?this.Pus=
hAll(t.childNodes):this.stack.Push(t)},t.prototype.PushAll=3Dfunction(t){va=
r e,r;try{for(var o=3Dn(t),i=3Do.next();!i.done;i=3Do.next()){var a=3Di.val=
ue;this.stack.Push(a)}}catch(t){e=3D{error:t}}finally{try{i&&!i.done&&(r=3D=
o.return)&&r.call(o)}finally{if(e)throw e.error}}},t.prototype.mml=3Dfuncti=
on(){if(!this.stack.Top().isKind("mml"))return null;var t=3Dthis.stack.Top(=
).First;return this.configuration.popParser(),t},t.prototype.convertDelimit=
er=3Dfunction(t){var e=3Dthis.lookup("delimiter",t);return e?e.char:null},t=
.prototype.getCodePoint=3Dfunction(){var t=3Dthis.string.codePointAt(this.i=
);return void 0=3D=3D=3Dt?"":String.fromCodePoint(t)},t.prototype.nextIsSpa=
ce=3Dfunction(){return!!this.string.charAt(this.i).match(/\s/)},t.prototype=
.GetNext=3Dfunction(){for(;this.nextIsSpace();)this.i++;return this.getCode=
Point()},t.prototype.GetCS=3Dfunction(){var t=3Dthis.string.slice(this.i).m=
atch(/^(([a-z]+) ?|[\uD800-\uDBFF].|.)/i);return t?(this.i+=3Dt[0].length,t=
[2]||t[1]):(this.i++," ")},t.prototype.GetArgument=3Dfunction(t,e){switch(t=
his.GetNext()){case"":if(!e)throw new l.default("MissingArgFor","Missing ar=
gument for %1",this.currentCS);return null;case"}":if(!e)throw new l.defaul=
t("ExtraCloseMissingOpen","Extra close brace or missing open brace");return=
 null;case"\\":return this.i++,"\\"+this.GetCS();case"{":for(var r=3D++this=
.i,n=3D1;this.i<this.string.length;)switch(this.string.charAt(this.i++)){ca=
se"\\":this.i++;break;case"{":n++;break;case"}":if(0=3D=3D--n)return this.s=
tring.slice(r,this.i-1)}throw new l.default("MissingCloseBrace","Missing cl=
ose brace")}var o=3Dthis.getCodePoint();return this.i+=3Do.length,o},t.prot=
otype.GetBrackets=3Dfunction(t,e){if("["!=3D=3Dthis.GetNext())return e;for(=
var r=3D++this.i,n=3D0;this.i<this.string.length;)switch(this.string.charAt=
(this.i++)){case"{":n++;break;case"\\":this.i++;break;case"}":if(n--<=3D0)t=
hrow new l.default("ExtraCloseLooking","Extra close brace while looking for=
 %1","']'");break;case"]":if(0=3D=3D=3Dn)return this.string.slice(r,this.i-=
1)}throw new l.default("MissingCloseBracket","Could not find closing ']' fo=
r argument to %1",this.currentCS)},t.prototype.GetDelimiter=3Dfunction(t,e)=
{var r=3Dthis.GetNext();if(this.i+=3Dr.length,this.i<=3Dthis.string.length&=
&("\\"=3D=3D=3Dr?r+=3Dthis.GetCS():"{"=3D=3D=3Dr&&e&&(this.i--,r=3Dthis.Get=
Argument(t).trim()),this.contains("delimiter",r)))return this.convertDelimi=
ter(r);throw new l.default("MissingOrUnrecognizedDelim","Missing or unrecog=
nized delimiter for %1",this.currentCS)},t.prototype.GetDimen=3Dfunction(t)=
{if("{"=3D=3D=3Dthis.GetNext()){var e=3Dthis.GetArgument(t),r=3Do(a.default=
.matchDimen(e),2),n=3Dr[0],i=3Dr[1];if(n)return n+i}else{e=3Dthis.string.sl=
ice(this.i);var s=3Do(a.default.matchDimen(e,!0),3),c=3D(n=3Ds[0],i=3Ds[1],=
s[2]);if(n)return this.i+=3Dc,n+i}throw new l.default("MissingDimOrUnits","=
Missing dimension or its units for %1",this.currentCS)},t.prototype.GetUpTo=
=3Dfunction(t,e){for(;this.nextIsSpace();)this.i++;for(var r=3Dthis.i,n=3D0=
;this.i<this.string.length;){var o=3Dthis.i,i=3Dthis.GetNext();switch(this.=
i+=3Di.length,i){case"\\":i+=3Dthis.GetCS();break;case"{":n++;break;case"}"=
:if(0=3D=3D=3Dn)throw new l.default("ExtraCloseLooking","Extra close brace =
while looking for %1",e);n--}if(0=3D=3D=3Dn&&i=3D=3D=3De)return this.string=
.slice(r,o)}throw new l.default("TokenNotFoundForCommand","Could not find %=
1 for %2",e,this.currentCS)},t.prototype.ParseArg=3Dfunction(e){return new =
t(this.GetArgument(e),this.stack.env,this.configuration).mml()},t.prototype=
.ParseUpTo=3Dfunction(e,r){return new t(this.GetUpTo(e,r),this.stack.env,th=
is.configuration).mml()},t.prototype.GetDelimiterArg=3Dfunction(t){var e=3D=
a.default.trimSpaces(this.GetArgument(t));if(""=3D=3D=3De)return null;if(th=
is.contains("delimiter",e))return e;throw new l.default("MissingOrUnrecogni=
zedDelim","Missing or unrecognized delimiter for %1",this.currentCS)},t.pro=
totype.GetStar=3Dfunction(){var t=3D"*"=3D=3D=3Dthis.GetNext();return t&&th=
is.i++,t},t.prototype.create=3Dfunction(t){for(var e,r=3D[],n=3D1;n<argumen=
ts.length;n++)r[n-1]=3Darguments[n];return(e=3Dthis.configuration.nodeFacto=
ry).create.apply(e,i([t],o(r)))},t}();e.default=3Du},8174:function(t,e,r){O=
bject.defineProperty(e,"__esModule",{value:!0}),e.ActionConfiguration=3De.A=
ctionMethods=3Dvoid 0;var n=3Dr(9899),o=3Dr(8417),i=3Dr(9140),a=3Dr(7693);e=
.ActionMethods=3D{},e.ActionMethods.Macro=3Da.default.Macro,e.ActionMethods=
.Toggle=3Dfunction(t,e){for(var r,n=3D[];"\\endtoggle"!=3D=3D(r=3Dt.GetArgu=
ment(e));)n.push(new o.default(r,t.stack.env,t.configuration).mml());t.Push=
(t.create("node","maction",n,{actiontype:"toggle"}))},e.ActionMethods.Matht=
ip=3Dfunction(t,e){var r=3Dt.ParseArg(e),n=3Dt.ParseArg(e);t.Push(t.create(=
"node","maction",[r,n],{actiontype:"tooltip"}))},new i.CommandMap("action-m=
acros",{toggle:"Toggle",mathtip:"Mathtip",texttip:["Macro","\\mathtip{#1}{\=
\text{#2}}",2]},e.ActionMethods),e.ActionConfiguration=3Dn.Configuration.cr=
eate("action",{handler:{macro:["action-macros"]}})},8021:function(t,e,r){va=
r n,o,i=3Dthis&&this.__extends||(n=3Dfunction(t,e){return(n=3DObject.setPro=
totypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=3De}||f=
unction(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&(t[r=
]=3De[r])})(t,e)},function(t,e){if("function"!=3Dtypeof e&&null!=3D=3De)thr=
ow new TypeError("Class extends value "+String(e)+" is not a constructor or=
 null");function r(){this.constructor=3Dt}n(t,e),t.prototype=3Dnull=3D=3D=
=3De?Object.create(e):(r.prototype=3De.prototype,new r)});Object.defineProp=
erty(e,"__esModule",{value:!0}),e.AmsConfiguration=3De.AmsTags=3Dvoid 0;var=
 a=3Dr(9899),s=3Dr(2790),l=3Dr(6521),c=3Dr(4387);r(7379);var u=3Dr(9140),p=
=3Dfunction(t){function e(){return null!=3D=3Dt&&t.apply(this,arguments)||t=
his}return i(e,t),e}(l.AbstractTags);e.AmsTags=3Dp;e.AmsConfiguration=3Da.C=
onfiguration.create("ams",{handler:{delimiter:["AMSsymbols-delimiter","AMSm=
ath-delimiter"],macro:["AMSsymbols-mathchar0mi","AMSsymbols-mathchar0mo","A=
MSsymbols-delimiter","AMSsymbols-macros","AMSmath-mathchar0mo","AMSmath-mac=
ros","AMSmath-delimiter"],environment:["AMSmath-environment"]},items:(o=3D{=
},o[s.MultlineItem.prototype.kind]=3Ds.MultlineItem,o[s.FlalignItem.prototy=
pe.kind]=3Ds.FlalignItem,o),tags:{ams:p},init:function(t){new u.CommandMap(=
c.NEW_OPS,{},{}),t.append(a.Configuration.local({handler:{macro:[c.NEW_OPS]=
},priority:-1}))},config:function(t,e){e.parseOptions.options.multlineWidth=
&&(e.parseOptions.options.ams.multlineWidth=3De.parseOptions.options.multli=
neWidth),delete e.parseOptions.options.multlineWidth},options:{multlineWidt=
h:"",ams:{multlineWidth:"100%",multlineIndent:"1em"}}})},2790:function(t,e,=
r){var n,o=3Dthis&&this.__extends||(n=3Dfunction(t,e){return(n=3DObject.set=
PrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=3De}=
||function(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&(=
t[r]=3De[r])})(t,e)},function(t,e){if("function"!=3Dtypeof e&&null!=3D=3De)=
throw new TypeError("Class extends value "+String(e)+" is not a constructor=
 or null");function r(){this.constructor=3Dt}n(t,e),t.prototype=3Dnull=3D=
=3D=3De?Object.create(e):(r.prototype=3De.prototype,new r)}),i=3Dthis&&this=
.__assign||function(){return(i=3DObject.assign||function(t){for(var e,r=3D1=
,n=3Darguments.length;r<n;r++)for(var o in e=3Darguments[r])Object.prototyp=
e.hasOwnProperty.call(e,o)&&(t[o]=3De[o]);return t}).apply(this,arguments)}=
;Object.defineProperty(e,"__esModule",{value:!0}),e.FlalignItem=3De.Multlin=
eItem=3Dvoid 0;var a=3Dr(1181),s=3Dr(1130),l=3Dr(1256),c=3Dr(3971),u=3Dr(83=
17),p=3Dfunction(t){function e(e){for(var r=3D[],n=3D1;n<arguments.length;n=
++)r[n-1]=3Darguments[n];var o=3Dt.call(this,e)||this;return o.factory.conf=
iguration.tags.start("multline",!0,r[0]),o}return o(e,t),Object.definePrope=
rty(e.prototype,"kind",{get:function(){return"multline"},enumerable:!1,conf=
igurable:!0}),e.prototype.EndEntry=3Dfunction(){this.table.length&&s.defaul=
t.fixInitialMO(this.factory.configuration,this.nodes);var t=3Dthis.getPrope=
rty("shove"),e=3Dthis.create("node","mtd",this.nodes,t?{columnalign:t}:{});=
this.setProperty("shove",null),this.row.push(e),this.Clear()},e.prototype.E=
ndRow=3Dfunction(){if(1!=3D=3Dthis.row.length)throw new c.default("Multline=
RowsOneCol","The rows within the %1 environment must have exactly one colum=
n","multline");var t=3Dthis.create("node","mtr",this.row);this.table.push(t=
),this.row=3D[]},e.prototype.EndTable=3Dfunction(){if(t.prototype.EndTable.=
call(this),this.table.length){var e=3Dthis.table.length-1,r=3D-1;l.default.=
getAttribute(l.default.getChildren(this.table[0])[0],"columnalign")||l.defa=
ult.setAttribute(l.default.getChildren(this.table[0])[0],"columnalign",u.Te=
xConstant.Align.LEFT),l.default.getAttribute(l.default.getChildren(this.tab=
le[e])[0],"columnalign")||l.default.setAttribute(l.default.getChildren(this=
.table[e])[0],"columnalign",u.TexConstant.Align.RIGHT);var n=3Dthis.factory=
.configuration.tags.getTag();if(n){r=3Dthis.arraydef.side=3D=3D=3Du.TexCons=
tant.Align.LEFT?0:this.table.length-1;var o=3Dthis.table[r],i=3Dthis.create=
("node","mlabeledtr",[n].concat(l.default.getChildren(o)));l.default.copyAt=
tributes(o,i),this.table[r]=3Di}}this.factory.configuration.tags.end()},e}(=
a.ArrayItem);e.MultlineItem=3Dp;var f=3Dfunction(t){function e(e,r,n,o,i){v=
ar a=3Dt.call(this,e)||this;return a.name=3Dr,a.numbered=3Dn,a.padded=3Do,a=
.center=3Di,a.factory.configuration.tags.start(r,n,n),a}return o(e,t),Objec=
t.defineProperty(e.prototype,"kind",{get:function(){return"flalign"},enumer=
able:!1,configurable:!0}),e.prototype.EndEntry=3Dfunction(){t.prototype.End=
Entry.call(this);var e=3Dthis.getProperty("xalignat");if(e&&this.row.length=
>e)throw new c.default("XalignOverflow","Extra %1 in row of %2","&",this.na=
me)},e.prototype.EndRow=3Dfunction(){for(var e,r=3Dthis.row,n=3Dthis.getPro=
perty("xalignat");r.length<n;)r.push(this.create("node","mtd"));for(this.ro=
w=3D[],this.padded&&this.row.push(this.create("node","mtd"));e=3Dr.shift();=
)this.row.push(e),(e=3Dr.shift())&&this.row.push(e),(r.length||this.padded)=
&&this.row.push(this.create("node","mtd"));this.row.length>this.maxrow&&(th=
is.maxrow=3Dthis.row.length),t.prototype.EndRow.call(this);var o=3Dthis.tab=
le[this.table.length-1];if(this.getProperty("zeroWidthLabel")&&o.isKind("ml=
abeledtr")){var a=3Dl.default.getChildren(o)[0],s=3Dthis.factory.configurat=
ion.options.tagSide,c=3Di({width:0},"right"=3D=3D=3Ds?{lspace:"-1width"}:{}=
),u=3Dthis.create("node","mpadded",l.default.getChildren(a),c);a.setChildre=
n([u])}},e.prototype.EndTable=3Dfunction(){(t.prototype.EndTable.call(this)=
,this.center)&&(this.maxrow<=3D2&&(delete this.arraydef.width,delete this.g=
lobal.indentalign))},e}(a.EqnArrayItem);e.FlalignItem=3Df},7379:function(t,=
e,r){Object.defineProperty(e,"__esModule",{value:!0});var n=3Dr(4387),o=3Dr=
(9140),i=3Dr(8317),a=3Dr(5450),s=3Dr(1130),l=3Dr(9007),c=3Dr(6010);new o.Ch=
aracterMap("AMSmath-mathchar0mo",a.default.mathchar0mo,{iiiint:["\u2a0c",{t=
exClass:l.TEXCLASS.OP}]}),new o.CommandMap("AMSmath-macros",{mathring:["Acc=
ent","02DA"],nobreakspace:"Tilde",negmedspace:["Spacer",c.MATHSPACE.negativ=
emediummathspace],negthickspace:["Spacer",c.MATHSPACE.negativethickmathspac=
e],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],d=
dddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phanto=
m{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{=
$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",eqref:["Handl=
eRef",!0],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injl=
im:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varli=
minf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Mac=
ro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\math=
op{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{=
\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclare=
Op",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genf=
rac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","","1"],dfrac:["Ge=
nfrac","","","","0"],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","("=
,")","0","1"],dbinom:["Genfrac","(",")","0","0"],cfrac:"CFrac",shoveleft:["=
HandleShove",i.TexConstant.Align.LEFT],shoveright:["HandleShove",i.TexConst=
ant.Align.RIGHT],xrightarrow:["xArrow",8594,5,10],xleftarrow:["xArrow",8592=
,10,5]},n.AmsMethods),new o.EnvironmentMap("AMSmath-environment",a.default.=
environment,{"equation*":["Equation",null,!1],"eqnarray*":["EqnArray",null,=
!1,!0,"rcl",s.default.cols(0,c.MATHSPACE.thickmathspace),".5em"],align:["Eq=
nArray",null,!0,!0,"rl",s.default.cols(0,2)],"align*":["EqnArray",null,!1,!=
0,"rl",s.default.cols(0,2)],multline:["Multline",null,!0],"multline*":["Mul=
tline",null,!1],split:["EqnArray",null,!1,!1,"rl",s.default.cols(0)],gather=
:["EqnArray",null,!0,!0,"c"],"gather*":["EqnArray",null,!1,!0,"c"],alignat:=
["AlignAt",null,!0,!0],"alignat*":["AlignAt",null,!1,!0],alignedat:["AlignA=
t",null,!1,!1],aligned:["AmsEqnArray",null,null,null,"rl",s.default.cols(0,=
2),".5em","D"],gathered:["AmsEqnArray",null,null,null,"c",null,".5em","D"],=
xalignat:["XalignAt",null,!0,!0],"xalignat*":["XalignAt",null,!1,!0],xxalig=
nat:["XalignAt",null,!1,!1],flalign:["FlalignArray",null,!0,!1,!0,"rlc","au=
to auto fit"],"flalign*":["FlalignArray",null,!1,!1,!0,"rlc","auto auto fit=
"],subarray:["Array",null,null,null,null,s.default.cols(0),"0.1em","S",1],s=
mallmatrix:["Array",null,null,null,"c",s.default.cols(1/3),".2em","S",1],ma=
trix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatri=
x:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix=
:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Ver=
t","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"]},n.AmsMethods),=
new o.DelimiterMap("AMSmath-delimiter",a.default.delimiter,{"\\lvert":["|",=
{texClass:l.TEXCLASS.OPEN}],"\\rvert":["|",{texClass:l.TEXCLASS.CLOSE}],"\\=
lVert":["\u2016",{texClass:l.TEXCLASS.OPEN}],"\\rVert":["\u2016",{texClass:=
l.TEXCLASS.CLOSE}]}),new o.CharacterMap("AMSsymbols-mathchar0mi",a.default.=
mathchar0mi,{digamma:"\u03dd",varkappa:"\u03f0",varGamma:["\u0393",{mathvar=
iant:i.TexConstant.Variant.ITALIC}],varDelta:["\u0394",{mathvariant:i.TexCo=
nstant.Variant.ITALIC}],varTheta:["\u0398",{mathvariant:i.TexConstant.Varia=
nt.ITALIC}],varLambda:["\u039b",{mathvariant:i.TexConstant.Variant.ITALIC}]=
,varXi:["\u039e",{mathvariant:i.TexConstant.Variant.ITALIC}],varPi:["\u03a0=
",{mathvariant:i.TexConstant.Variant.ITALIC}],varSigma:["\u03a3",{mathvaria=
nt:i.TexConstant.Variant.ITALIC}],varUpsilon:["\u03a5",{mathvariant:i.TexCo=
nstant.Variant.ITALIC}],varPhi:["\u03a6",{mathvariant:i.TexConstant.Variant=
.ITALIC}],varPsi:["\u03a8",{mathvariant:i.TexConstant.Variant.ITALIC}],varO=
mega:["\u03a9",{mathvariant:i.TexConstant.Variant.ITALIC}],beth:"\u2136",gi=
mel:"\u2137",daleth:"\u2138",backprime:["\u2035",{variantForm:!0}],hslash:"=
\u210f",varnothing:["\u2205",{variantForm:!0}],blacktriangle:"\u25b4",trian=
gledown:["\u25bd",{variantForm:!0}],blacktriangledown:"\u25be",square:"\u25=
fb",Box:"\u25fb",blacksquare:"\u25fc",lozenge:"\u25ca",Diamond:"\u25ca",bla=
cklozenge:"\u29eb",circledS:["\u24c8",{mathvariant:i.TexConstant.Variant.NO=
RMAL}],bigstar:"\u2605",sphericalangle:"\u2222",measuredangle:"\u2221",nexi=
sts:"\u2204",complement:"\u2201",mho:"\u2127",eth:["\xf0",{mathvariant:i.Te=
xConstant.Variant.NORMAL}],Finv:"\u2132",diagup:"\u2571",Game:"\u2141",diag=
down:"\u2572",Bbbk:["k",{mathvariant:i.TexConstant.Variant.DOUBLESTRUCK}],y=
en:"\xa5",circledR:"\xae",checkmark:"\u2713",maltese:"\u2720"}),new o.Chara=
cterMap("AMSsymbols-mathchar0mo",a.default.mathchar0mo,{dotplus:"\u2214",lt=
imes:"\u22c9",smallsetminus:["\u2216",{variantForm:!0}],rtimes:"\u22ca",Cap=
:"\u22d2",doublecap:"\u22d2",leftthreetimes:"\u22cb",Cup:"\u22d3",doublecup=
:"\u22d3",rightthreetimes:"\u22cc",barwedge:"\u22bc",curlywedge:"\u22cf",ve=
ebar:"\u22bb",curlyvee:"\u22ce",doublebarwedge:"\u2a5e",boxminus:"\u229f",c=
ircleddash:"\u229d",boxtimes:"\u22a0",circledast:"\u229b",boxdot:"\u22a1",c=
ircledcirc:"\u229a",boxplus:"\u229e",centerdot:["\u22c5",{variantForm:!0}],=
divideontimes:"\u22c7",intercal:"\u22ba",leqq:"\u2266",geqq:"\u2267",leqsla=
nt:"\u2a7d",geqslant:"\u2a7e",eqslantless:"\u2a95",eqslantgtr:"\u2a96",less=
sim:"\u2272",gtrsim:"\u2273",lessapprox:"\u2a85",gtrapprox:"\u2a86",approxe=
q:"\u224a",lessdot:"\u22d6",gtrdot:"\u22d7",lll:"\u22d8",llless:"\u22d8",gg=
g:"\u22d9",gggtr:"\u22d9",lessgtr:"\u2276",gtrless:"\u2277",lesseqgtr:"\u22=
da",gtreqless:"\u22db",lesseqqgtr:"\u2a8b",gtreqqless:"\u2a8c",doteqdot:"\u=
2251",Doteq:"\u2251",eqcirc:"\u2256",risingdotseq:"\u2253",circeq:"\u2257",=
fallingdotseq:"\u2252",triangleq:"\u225c",backsim:"\u223d",thicksim:["\u223=
c",{variantForm:!0}],backsimeq:"\u22cd",thickapprox:["\u2248",{variantForm:=
!0}],subseteqq:"\u2ac5",supseteqq:"\u2ac6",Subset:"\u22d0",Supset:"\u22d1",=
sqsubset:"\u228f",sqsupset:"\u2290",preccurlyeq:"\u227c",succcurlyeq:"\u227=
d",curlyeqprec:"\u22de",curlyeqsucc:"\u22df",precsim:"\u227e",succsim:"\u22=
7f",precapprox:"\u2ab7",succapprox:"\u2ab8",vartriangleleft:"\u22b2",lhd:"\=
u22b2",vartriangleright:"\u22b3",rhd:"\u22b3",trianglelefteq:"\u22b4",unlhd=
:"\u22b4",trianglerighteq:"\u22b5",unrhd:"\u22b5",vDash:["\u22a8",{variantF=
orm:!0}],Vdash:"\u22a9",Vvdash:"\u22aa",smallsmile:["\u2323",{variantForm:!=
0}],shortmid:["\u2223",{variantForm:!0}],smallfrown:["\u2322",{variantForm:=
!0}],shortparallel:["\u2225",{variantForm:!0}],bumpeq:"\u224f",between:"\u2=
26c",Bumpeq:"\u224e",pitchfork:"\u22d4",varpropto:["\u221d",{variantForm:!0=
}],backepsilon:"\u220d",blacktriangleleft:"\u25c2",blacktriangleright:"\u25=
b8",therefore:"\u2234",because:"\u2235",eqsim:"\u2242",vartriangle:["\u25b3=
",{variantForm:!0}],Join:"\u22c8",nless:"\u226e",ngtr:"\u226f",nleq:"\u2270=
",ngeq:"\u2271",nleqslant:["\u2a87",{variantForm:!0}],ngeqslant:["\u2a88",{=
variantForm:!0}],nleqq:["\u2270",{variantForm:!0}],ngeqq:["\u2271",{variant=
Form:!0}],lneq:"\u2a87",gneq:"\u2a88",lneqq:"\u2268",gneqq:"\u2269",lvertne=
qq:["\u2268",{variantForm:!0}],gvertneqq:["\u2269",{variantForm:!0}],lnsim:=
"\u22e6",gnsim:"\u22e7",lnapprox:"\u2a89",gnapprox:"\u2a8a",nprec:"\u2280",=
nsucc:"\u2281",npreceq:["\u22e0",{variantForm:!0}],nsucceq:["\u22e1",{varia=
ntForm:!0}],precneqq:"\u2ab5",succneqq:"\u2ab6",precnsim:"\u22e8",succnsim:=
"\u22e9",precnapprox:"\u2ab9",succnapprox:"\u2aba",nsim:"\u2241",ncong:"\u2=
247",nshortmid:["\u2224",{variantForm:!0}],nshortparallel:["\u2226",{varian=
tForm:!0}],nmid:"\u2224",nparallel:"\u2226",nvdash:"\u22ac",nvDash:"\u22ad"=
,nVdash:"\u22ae",nVDash:"\u22af",ntriangleleft:"\u22ea",ntriangleright:"\u2=
2eb",ntrianglelefteq:"\u22ec",ntrianglerighteq:"\u22ed",nsubseteq:"\u2288",=
nsupseteq:"\u2289",nsubseteqq:["\u2288",{variantForm:!0}],nsupseteqq:["\u22=
89",{variantForm:!0}],subsetneq:"\u228a",supsetneq:"\u228b",varsubsetneq:["=
\u228a",{variantForm:!0}],varsupsetneq:["\u228b",{variantForm:!0}],subsetne=
qq:"\u2acb",supsetneqq:"\u2acc",varsubsetneqq:["\u2acb",{variantForm:!0}],v=
arsupsetneqq:["\u2acc",{variantForm:!0}],leftleftarrows:"\u21c7",rightright=
arrows:"\u21c9",leftrightarrows:"\u21c6",rightleftarrows:"\u21c4",Lleftarro=
w:"\u21da",Rrightarrow:"\u21db",twoheadleftarrow:"\u219e",twoheadrightarrow=
:"\u21a0",leftarrowtail:"\u21a2",rightarrowtail:"\u21a3",looparrowleft:"\u2=
1ab",looparrowright:"\u21ac",leftrightharpoons:"\u21cb",rightleftharpoons:[=
"\u21cc",{variantForm:!0}],curvearrowleft:"\u21b6",curvearrowright:"\u21b7"=
,circlearrowleft:"\u21ba",circlearrowright:"\u21bb",Lsh:"\u21b0",Rsh:"\u21b=
1",upuparrows:"\u21c8",downdownarrows:"\u21ca",upharpoonleft:"\u21bf",uphar=
poonright:"\u21be",downharpoonleft:"\u21c3",restriction:"\u21be",multimap:"=
\u22b8",downharpoonright:"\u21c2",leftrightsquigarrow:"\u21ad",rightsquigar=
row:"\u21dd",leadsto:"\u21dd",dashrightarrow:"\u21e2",dashleftarrow:"\u21e0=
",nleftarrow:"\u219a",nrightarrow:"\u219b",nLeftarrow:"\u21cd",nRightarrow:=
"\u21cf",nleftrightarrow:"\u21ae",nLeftrightarrow:"\u21ce"}),new o.Delimite=
rMap("AMSsymbols-delimiter",a.default.delimiter,{"\\ulcorner":"\u231c","\\u=
rcorner":"\u231d","\\llcorner":"\u231e","\\lrcorner":"\u231f"}),new o.Comma=
ndMap("AMSsymbols-macros",{implies:["Macro","\\;\\Longrightarrow\\;"],impli=
edby:["Macro","\\;\\Longleftarrow\\;"]},n.AmsMethods)},4387:function(t,e,r)=
{Object.defineProperty(e,"__esModule",{value:!0}),e.NEW_OPS=3De.AmsMethods=
=3Dvoid 0;var n=3Dr(1130),o=3Dr(1256),i=3Dr(8317),a=3Dr(8417),s=3Dr(3971),l=
=3Dr(8803),c=3Dr(7693),u=3Dr(9007);e.AmsMethods=3D{},e.AmsMethods.AmsEqnArr=
ay=3Dfunction(t,e,r,o,i,a,s){var l=3Dt.GetBrackets("\\begin{"+e.getName()+"=
}"),u=3Dc.default.EqnArray(t,e,r,o,i,a,s);return n.default.setArrayAlign(u,=
l)},e.AmsMethods.AlignAt=3Dfunction(t,r,o,i){var a,l,c=3Dr.getName(),u=3D""=
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egin{"+c+"}")).match(/[^0-9]/))throw new s.default("PositiveIntegerArg","Ar=
gument to %1 must me a positive integer","\\begin{"+c+"}");for(var f=3Dpars=
eInt(a,10);f>0;)u+=3D"rl",p.push("0em 0em"),f--;var h=3Dp.join(" ");if(i)re=
turn e.AmsMethods.EqnArray(t,r,o,i,u,h);var d=3De.AmsMethods.EqnArray(t,r,o=
,i,u,h);return n.default.setArrayAlign(d,l)},e.AmsMethods.Multline=3Dfuncti=
on(t,e,r){t.Push(e),n.default.checkEqnEnv(t);var o=3Dt.itemFactory.create("=
multline",r,t.stack);return o.arraydef=3D{displaystyle:!0,rowspacing:".5em"=
,columnspacing:"100%",width:t.options.ams.multlineWidth,side:t.options.tagS=
ide,minlabelspacing:t.options.tagIndent,framespacing:t.options.ams.multline=
Indent+" 0",frame:"","data-width-includes-label":!0},o},e.AmsMethods.Xalign=
At=3Dfunction(t,r,n,o){var i=3Dt.GetArgument("\\begin{"+r.getName()+"}");if=
(i.match(/[^0-9]/))throw new s.default("PositiveIntegerArg","Argument to %1=
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lc",l=3Do?"fit auto auto":"auto auto fit",c=3De.AmsMethods.FlalignArray(t,r=
,n,o,!1,a,l,!0);return c.setProperty("xalignat",2*parseInt(i)),c},e.AmsMeth=
ods.FlalignArray=3Dfunction(t,e,r,o,i,a,s,l){void 0=3D=3D=3Dl&&(l=3D!1),t.P=
ush(e),n.default.checkEqnEnv(t),a=3Da.split("").join(" ").replace(/r/g,"rig=
ht").replace(/l/g,"left").replace(/c/g,"center");var c=3Dt.itemFactory.crea=
te("flalign",e.getName(),r,o,i,t.stack);return c.arraydef=3D{width:"100%",d=
isplaystyle:!0,columnalign:a,columnspacing:"0em",columnwidth:s,rowspacing:"=
3pt",side:t.options.tagSide,minlabelspacing:l?"0":t.options.tagIndent,"data=
-width-includes-label":!0},c.setProperty("zeroWidthLabel",l),c},e.NEW_OPS=
=3D"ams-declare-ops",e.AmsMethods.HandleDeclareOp=3Dfunction(t,r){var o=3Dt=
.GetStar()?"":"\\nolimits\\SkipLimits",i=3Dn.default.trimSpaces(t.GetArgume=
nt(r));"\\"=3D=3D=3Di.charAt(0)&&(i=3Di.substr(1));var a=3Dt.GetArgument(r)=
;a.match(/\\text/)||(a=3Da.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{=
-}")),t.configuration.handlers.retrieve(e.NEW_OPS).add(i,new l.Macro(i,e.Am=
sMethods.Macro,["\\mathop{\\rm "+a+"}"+o]))},e.AmsMethods.HandleOperatorNam=
e=3Dfunction(t,e){var r=3Dt.GetStar()?"":"\\nolimits\\SkipLimits",o=3Dn.def=
ault.trimSpaces(t.GetArgument(e));o.match(/\\text/)||(o=3Do.replace(/\*/g,"=
\\text{*}").replace(/-/g,"\\text{-}")),t.string=3D"\\mathop{\\rm "+o+"}"+r+=
" "+t.string.slice(t.i),t.i=3D0},e.AmsMethods.SkipLimits=3Dfunction(t,e){va=
r r=3Dt.GetNext(),n=3Dt.i;"\\"=3D=3D=3Dr&&++t.i&&"limits"!=3D=3Dt.GetCS()&&=
(t.i=3Dn)},e.AmsMethods.MultiIntegral=3Dfunction(t,e,r){var n=3Dt.GetNext()=
;if("\\"=3D=3D=3Dn){var o=3Dt.i;n=3Dt.GetArgument(e),t.i=3Do,"\\limits"=3D=
=3D=3Dn&&(r=3D"\\idotsint"=3D=3D=3De?"\\!\\!\\mathop{\\,\\,"+r+"}":"\\!\\!\=
\!\\mathop{\\,\\,\\,"+r+"}")}t.string=3Dr+" "+t.string.slice(t.i),t.i=3D0},=
e.AmsMethods.xArrow=3Dfunction(t,e,r,i,s){var l=3D{width:"+"+n.default.Em((=
i+s)/18),lspace:n.default.Em(i/18)},c=3Dt.GetBrackets(e),p=3Dt.ParseArg(e),=
f=3Dt.create("node","mspace",[],{depth:".25em"}),h=3Dt.create("token","mo",=
{stretchy:!0,texClass:u.TEXCLASS.REL},String.fromCodePoint(r));h=3Dt.create=
("node","mstyle",[h],{scriptlevel:0});var d=3Dt.create("node","munderover",=
[h]),m=3Dt.create("node","mpadded",[p,f],l);if(o.default.setAttribute(m,"vo=
ffset","-.2em"),o.default.setAttribute(m,"height","-.2em"),o.default.setChi=
ld(d,d.over,m),c){var y=3Dnew a.default(c,t.stack.env,t.configuration).mml(=
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added",[y,v],l),o.default.setAttribute(m,"voffset",".15em"),o.default.setAt=
tribute(m,"depth","-.15em"),o.default.setChild(d,d.under,m)}o.default.setPr=
operty(d,"subsupOK",!0),t.Push(d)},e.AmsMethods.HandleShove=3Dfunction(t,e,=
r){var n=3Dt.stack.Top();if("multline"!=3D=3Dn.kind)throw new s.default("Co=
mmandOnlyAllowedInEnv","%1 only allowed in %2 environment",t.currentCS,"mul=
tline");if(n.Size())throw new s.default("CommandAtTheBeginingOfLine","%1 mu=
st come at the beginning of the line",t.currentCS);n.setProperty("shove",r)=
},e.AmsMethods.CFrac=3Dfunction(t,e){var r=3Dn.default.trimSpaces(t.GetBrac=
kets(e,"")),l=3Dt.GetArgument(e),c=3Dt.GetArgument(e),u=3D{l:i.TexConstant.=
Align.LEFT,r:i.TexConstant.Align.RIGHT,"":""},p=3Dnew a.default("\\strut\\t=
extstyle{"+l+"}",t.stack.env,t.configuration).mml(),f=3Dnew a.default("\\st=
rut\\textstyle{"+c+"}",t.stack.env,t.configuration).mml(),h=3Dt.create("nod=
e","mfrac",[p,f]);if(null=3D=3D(r=3Du[r]))throw new s.default("IllegalAlign=
","Illegal alignment specified in %1",t.currentCS);r&&o.default.setProperti=
es(h,{numalign:r,denomalign:r}),t.Push(h)},e.AmsMethods.Genfrac=3Dfunction(=
t,e,r,i,a,l){null=3D=3Dr&&(r=3Dt.GetDelimiterArg(e)),null=3D=3Di&&(i=3Dt.Ge=
tDelimiterArg(e)),null=3D=3Da&&(a=3Dt.GetArgument(e)),null=3D=3Dl&&(l=3Dn.d=
efault.trimSpaces(t.GetArgument(e)));var c=3Dt.ParseArg(e),u=3Dt.ParseArg(e=
),p=3Dt.create("node","mfrac",[c,u]);if(""!=3D=3Da&&o.default.setAttribute(=
p,"linethickness",a),(r||i)&&(o.default.setProperty(p,"withDelims",!0),p=3D=
n.default.fixedFence(t.configuration,r,p,i)),""!=3D=3Dl){var f=3DparseInt(l=
,10),h=3D["D","T","S","SS"][f];if(null=3D=3Dh)throw new s.default("BadMathS=
tyleFor","Bad math style for %1",t.currentCS);p=3Dt.create("node","mstyle",=
[p]),"D"=3D=3D=3Dh?o.default.setProperties(p,{displaystyle:!0,scriptlevel:0=
}):o.default.setProperties(p,{displaystyle:!1,scriptlevel:f-1})}t.Push(p)},=
e.AmsMethods.HandleTag=3Dfunction(t,e){if(!t.tags.currentTag.taggable&&t.ta=
gs.env)throw new s.default("CommandNotAllowedInEnv","%1 not allowed in %2 e=
nvironment",t.currentCS,t.tags.env);if(t.tags.currentTag.tag)throw new s.de=
fault("MultipleCommand","Multiple %1",t.currentCS);var r=3Dt.GetStar(),o=3D=
n.default.trimSpaces(t.GetArgument(e));t.tags.tag(o,r)},e.AmsMethods.Handle=
NoTag=3Dc.default.HandleNoTag,e.AmsMethods.HandleRef=3Dc.default.HandleRef,=
e.AmsMethods.Macro=3Dc.default.Macro,e.AmsMethods.Accent=3Dc.default.Accent=
,e.AmsMethods.Tilde=3Dc.default.Tilde,e.AmsMethods.Array=3Dc.default.Array,=
e.AmsMethods.Spacer=3Dc.default.Spacer,e.AmsMethods.NamedOp=3Dc.default.Nam=
edOp,e.AmsMethods.EqnArray=3Dc.default.EqnArray,e.AmsMethods.Equation=3Dc.d=
efault.Equation},583:function(t,e,r){Object.defineProperty(e,"__esModule",{=
value:!0}),e.AmsCdConfiguration=3Dvoid 0;var n=3Dr(9899);r(8289),e.AmsCdCon=
figuration=3Dn.Configuration.create("amscd",{handler:{character:["amscd_spe=
cial"],macro:["amscd_macros"],environment:["amscd_environment"]},options:{a=
mscd:{colspace:"5pt",rowspace:"5pt",harrowsize:"2.75em",varrowsize:"1.75em"=
,hideHorizontalLabels:!1}}})},8289:function(t,e,r){Object.defineProperty(e,=
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ronmentMap("amscd_environment",o.default.environment,{CD:"CD"},i.default),n=
ew n.CommandMap("amscd_macros",{minCDarrowwidth:"minCDarrowwidth",minCDarro=
wheight:"minCDarrowheight"},i.default),new n.MacroMap("amscd_special",{"@":=
"arrow"},i.default)},7819:function(t,e,r){Object.defineProperty(e,"__esModu=
le",{value:!0});var n=3Dr(8417),o=3Dr(2942),i=3Dr(9007),a=3Dr(1256),s=3D{CD=
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uration.options.amscd;return r.setProperties({minw:t.stack.env.CD_minw||n.h=
arrowsize,minh:t.stack.env.CD_minh||n.varrowsize}),r.arraydef=3D{columnalig=
n:"center",columnspacing:n.colspace,rowspacing:n.rowspace,displaystyle:!0},=
r},arrow:function(t,e){var r=3Dt.string.charAt(t.i);if(!r.match(/[><VA.|=3D=
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t(v,t.stack.env,t.configuration).mml();a.default.setChild(c,c.under,t.creat=
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ull!=3D=3Dt&&t.apply(this,arguments)||this}return o(e,t),Object.definePrope=
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nction(t){function e(){return null!=3D=3Dt&&t.apply(this,arguments)||this}r=
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rn[[t],!0]},e}(h.BaseItem);e.NonscriptItem=3Dk;var I=3Dfunction(t){function=
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t.defineProperty(e.prototype,"kind",{get:function(){return"dots"},enumerabl=
e:!1,configurable:!0}),e.prototype.checkItem=3Dfunction(t){if(t.isKind("ope=
n")||t.isKind("left"))return h.BaseItem.success;var e=3Dthis.getProperty("l=
dots"),r=3Dt.First;if(t.isKind("mml")&&f.default.isEmbellished(r)){var n=3D=
f.default.getTexClass(f.default.getCoreMO(r));n!=3D=3Dc.TEXCLASS.BIN&&n!=3D=
=3Dc.TEXCLASS.REL||(e=3Dthis.getProperty("cdots"))}return[[e,t],!0]},e}(h.B=
aseItem);e.DotsItem=3DI;var N=3Dfunction(t){function e(){var e=3Dnull!=3D=
=3Dt&&t.apply(this,arguments)||this;return e.table=3D[],e.row=3D[],e.frame=
=3D[],e.hfill=3D[],e.arraydef=3D{},e.dashed=3D!1,e}return o(e,t),Object.def=
ineProperty(e.prototype,"kind",{get:function(){return"array"},enumerable:!1=
,configurable:!0}),Object.defineProperty(e.prototype,"isOpen",{get:function=
(){return!0},enumerable:!1,configurable:!0}),Object.defineProperty(e.protot=
ype,"copyEnv",{get:function(){return!1},enumerable:!1,configurable:!0}),e.p=
rototype.checkItem=3Dfunction(e){if(e.isClose&&!e.isKind("over")){if(e.getP=
roperty("isEntry"))return this.EndEntry(),this.clearEnv(),h.BaseItem.fail;i=
f(e.getProperty("isCR"))return this.EndEntry(),this.EndRow(),this.clearEnv(=
),h.BaseItem.fail;this.EndTable(),this.clearEnv();var r=3Dthis.factory.crea=
te("mml",this.createMml());if(this.getProperty("requireClose")){if(e.isKind=
("close"))return[[r],!0];throw new u.default("MissingCloseBrace","Missing c=
lose brace")}return[[r,e],!0]}return t.prototype.checkItem.call(this,e)},e.=
prototype.createMml=3Dfunction(){var t=3Dthis.arraydef.scriptlevel;delete t=
his.arraydef.scriptlevel;var e=3Dthis.create("node","mtable",this.table,thi=
s.arraydef);return t&&e.setProperty("scriptlevel",t),4=3D=3D=3Dthis.frame.l=
ength?f.default.setAttribute(e,"frame",this.dashed?"dashed":"solid"):this.f=
rame.length&&(this.arraydef.rowlines&&(this.arraydef.rowlines=3Dthis.arrayd=
ef.rowlines.replace(/none( none)+$/,"none")),f.default.setAttribute(e,"fram=
e",""),e=3Dthis.create("node","menclose",[e],{notation:this.frame.join(" ")=
}),"none"=3D=3D=3D(this.arraydef.columnlines||"none")&&"none"=3D=3D=3D(this=
.arraydef.rowlines||"none")||f.default.setAttribute(e,"data-padding",0)),(t=
his.getProperty("open")||this.getProperty("close"))&&(e=3Dp.default.fenced(=
this.factory.configuration,this.getProperty("open"),e,this.getProperty("clo=
se"))),e},e.prototype.EndEntry=3Dfunction(){var t=3Dthis.create("node","mtd=
",this.nodes);this.hfill.length&&(0=3D=3D=3Dthis.hfill[0]&&f.default.setAtt=
ribute(t,"columnalign","right"),this.hfill[this.hfill.length-1]=3D=3D=3Dthi=
s.Size()&&f.default.setAttribute(t,"columnalign",f.default.getAttribute(t,"=
columnalign")?"center":"left")),this.row.push(t),this.Clear(),this.hfill=3D=
[]},e.prototype.EndRow=3Dfunction(){var t;this.getProperty("isNumbered")&&3=
=3D=3D=3Dthis.row.length?(this.row.unshift(this.row.pop()),t=3Dthis.create(=
"node","mlabeledtr",this.row)):t=3Dthis.create("node","mtr",this.row),this.=
table.push(t),this.row=3D[]},e.prototype.EndTable=3Dfunction(){(this.Size()=
||this.row.length)&&(this.EndEntry(),this.EndRow()),this.checkLines()},e.pr=
ototype.checkLines=3Dfunction(){if(this.arraydef.rowlines){var t=3Dthis.arr=
aydef.rowlines.split(/ /);t.length=3D=3D=3Dthis.table.length?(this.frame.pu=
sh("bottom"),t.pop(),this.arraydef.rowlines=3Dt.join(" ")):t.length<this.ta=
ble.length-1&&(this.arraydef.rowlines+=3D" none")}if(this.getProperty("rows=
pacing")){for(var e=3Dthis.arraydef.rowspacing.split(/ /);e.length<this.tab=
le.length;)e.push(this.getProperty("rowspacing")+"em");this.arraydef.rowspa=
cing=3De.join(" ")}},e.prototype.addRowSpacing=3Dfunction(t){if(this.arrayd=
ef.rowspacing){var e=3Dthis.arraydef.rowspacing.split(/ /);if(!this.getProp=
erty("rowspacing")){var r=3Dp.default.dimen2em(e[0]);this.setProperty("rows=
pacing",r)}for(var n=3Dthis.getProperty("rowspacing");e.length<this.table.l=
ength;)e.push(p.default.Em(n));e[this.table.length-1]=3Dp.default.Em(Math.m=
ax(0,n+p.default.dimen2em(t))),this.arraydef.rowspacing=3De.join(" ")}},e}(=
h.BaseItem);e.ArrayItem=3DN;var j=3Dfunction(t){function e(e){for(var r=3D[=
],n=3D1;n<arguments.length;n++)r[n-1]=3Darguments[n];var o=3Dt.call(this,e)=
||this;return o.maxrow=3D0,o.factory.configuration.tags.start(r[0],r[2],r[1=
]),o}return o(e,t),Object.defineProperty(e.prototype,"kind",{get:function()=
{return"eqnarray"},enumerable:!1,configurable:!0}),e.prototype.EndEntry=3Df=
unction(){this.row.length&&p.default.fixInitialMO(this.factory.configuratio=
n,this.nodes);var t=3Dthis.create("node","mtd",this.nodes);this.row.push(t)=
,this.Clear()},e.prototype.EndRow=3Dfunction(){this.row.length>this.maxrow&=
&(this.maxrow=3Dthis.row.length);var t=3D"mtr",e=3Dthis.factory.configurati=
on.tags.getTag();e&&(this.row=3D[e].concat(this.row),t=3D"mlabeledtr"),this=
.factory.configuration.tags.clearTag();var r=3Dthis.create("node",t,this.ro=
w);this.table.push(r),this.row=3D[]},e.prototype.EndTable=3Dfunction(){t.pr=
ototype.EndTable.call(this),this.factory.configuration.tags.end(),this.exte=
ndArray("columnalign",this.maxrow),this.extendArray("columnwidth",this.maxr=
ow),this.extendArray("columnspacing",this.maxrow-1)},e.prototype.extendArra=
y=3Dfunction(t,e){if(this.arraydef[t]){var r=3Dthis.arraydef[t].split(/ /),=
n=3Da([],i(r));if(n.length>1){for(;n.length<e;)n.push.apply(n,a([],i(r)));t=
his.arraydef[t]=3Dn.slice(0,e).join(" ")}}},e}(N);e.EqnArrayItem=3Dj;var R=
=3Dfunction(t){function e(e){for(var r=3D[],n=3D1;n<arguments.length;n++)r[=
n-1]=3Darguments[n];var o=3Dt.call(this,e)||this;return o.factory.configura=
tion.tags.start("equation",!0,r[0]),o}return o(e,t),Object.defineProperty(e=
.prototype,"kind",{get:function(){return"equation"},enumerable:!1,configura=
ble:!0}),Object.defineProperty(e.prototype,"isOpen",{get:function(){return!=
0},enumerable:!1,configurable:!0}),e.prototype.checkItem=3Dfunction(e){if(e=
.isKind("end")){var r=3Dthis.toMml(),n=3Dthis.factory.configuration.tags.ge=
tTag();return this.factory.configuration.tags.end(),[[n?this.factory.config=
uration.tags.enTag(r,n):r,e],!0]}if(e.isKind("stop"))throw new u.default("E=
nvMissingEnd","Missing \\end{%1}",this.getName());return t.prototype.checkI=
tem.call(this,e)},e}(h.BaseItem);e.EquationItem=3DR},1267:function(t,e,r){O=
bject.defineProperty(e,"__esModule",{value:!0});var n=3Dr(9140),o=3Dr(8317)=
,i=3Dr(7693),a=3Dr(5450),s=3Dr(1130),l=3Dr(9007),c=3Dr(6010);new n.RegExpMa=
p("letter",a.default.variable,/[a-z]/i),new n.RegExpMap("digit",a.default.d=
igit,/[0-9.,]/),new n.RegExpMap("command",a.default.controlSequence,/^\\/),=
new n.MacroMap("special",{"{":"Open","}":"Close","~":"Tilde","^":"Superscri=
pt",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"P=
rime","%":"Comment","&":"Entry","#":"Hash","\xa0":"Space","\u2019":"Prime"}=
,i.default),new n.CharacterMap("mathchar0mi",a.default.mathchar0mi,{alpha:"=
\u03b1",beta:"\u03b2",gamma:"\u03b3",delta:"\u03b4",epsilon:"\u03f5",zeta:"=
\u03b6",eta:"\u03b7",theta:"\u03b8",iota:"\u03b9",kappa:"\u03ba",lambda:"\u=
03bb",mu:"\u03bc",nu:"\u03bd",xi:"\u03be",omicron:"\u03bf",pi:"\u03c0",rho:=
"\u03c1",sigma:"\u03c3",tau:"\u03c4",upsilon:"\u03c5",phi:"\u03d5",chi:"\u0=
3c7",psi:"\u03c8",omega:"\u03c9",varepsilon:"\u03b5",vartheta:"\u03d1",varp=
i:"\u03d6",varrho:"\u03f1",varsigma:"\u03c2",varphi:"\u03c6",S:["\xa7",{mat=
hvariant:o.TexConstant.Variant.NORMAL}],aleph:["\u2135",{mathvariant:o.TexC=
onstant.Variant.NORMAL}],hbar:["\u210f",{variantForm:!0}],imath:"\u0131",jm=
ath:"\u0237",ell:"\u2113",wp:["\u2118",{mathvariant:o.TexConstant.Variant.N=
ORMAL}],Re:["\u211c",{mathvariant:o.TexConstant.Variant.NORMAL}],Im:["\u211=
1",{mathvariant:o.TexConstant.Variant.NORMAL}],partial:["\u2202",{mathvaria=
nt:o.TexConstant.Variant.ITALIC}],infty:["\u221e",{mathvariant:o.TexConstan=
t.Variant.NORMAL}],prime:["\u2032",{variantForm:!0}],emptyset:["\u2205",{ma=
thvariant:o.TexConstant.Variant.NORMAL}],nabla:["\u2207",{mathvariant:o.Tex=
Constant.Variant.NORMAL}],top:["\u22a4",{mathvariant:o.TexConstant.Variant.=
NORMAL}],bot:["\u22a5",{mathvariant:o.TexConstant.Variant.NORMAL}],angle:["=
\u2220",{mathvariant:o.TexConstant.Variant.NORMAL}],triangle:["\u25b3",{mat=
hvariant:o.TexConstant.Variant.NORMAL}],backslash:["\u2216",{mathvariant:o.=
TexConstant.Variant.NORMAL}],forall:["\u2200",{mathvariant:o.TexConstant.Va=
riant.NORMAL}],exists:["\u2203",{mathvariant:o.TexConstant.Variant.NORMAL}]=
,neg:["\xac",{mathvariant:o.TexConstant.Variant.NORMAL}],lnot:["\xac",{math=
variant:o.TexConstant.Variant.NORMAL}],flat:["\u266d",{mathvariant:o.TexCon=
stant.Variant.NORMAL}],natural:["\u266e",{mathvariant:o.TexConstant.Variant=
.NORMAL}],sharp:["\u266f",{mathvariant:o.TexConstant.Variant.NORMAL}],clubs=
uit:["\u2663",{mathvariant:o.TexConstant.Variant.NORMAL}],diamondsuit:["\u2=
662",{mathvariant:o.TexConstant.Variant.NORMAL}],heartsuit:["\u2661",{mathv=
ariant:o.TexConstant.Variant.NORMAL}],spadesuit:["\u2660",{mathvariant:o.Te=
xConstant.Variant.NORMAL}]}),new n.CharacterMap("mathchar0mo",a.default.mat=
hchar0mo,{surd:"\u221a",coprod:["\u2210",{texClass:l.TEXCLASS.OP,movesupsub=
:!0}],bigvee:["\u22c1",{texClass:l.TEXCLASS.OP,movesupsub:!0}],bigwedge:["\=
u22c0",{texClass:l.TEXCLASS.OP,movesupsub:!0}],biguplus:["\u2a04",{texClass=
:l.TEXCLASS.OP,movesupsub:!0}],bigcap:["\u22c2",{texClass:l.TEXCLASS.OP,mov=
esupsub:!0}],bigcup:["\u22c3",{texClass:l.TEXCLASS.OP,movesupsub:!0}],int:[=
"\u222b",{texClass:l.TEXCLASS.OP}],intop:["\u222b",{texClass:l.TEXCLASS.OP,=
movesupsub:!0,movablelimits:!0}],iint:["\u222c",{texClass:l.TEXCLASS.OP}],i=
iint:["\u222d",{texClass:l.TEXCLASS.OP}],prod:["\u220f",{texClass:l.TEXCLAS=
S.OP,movesupsub:!0}],sum:["\u2211",{texClass:l.TEXCLASS.OP,movesupsub:!0}],=
bigotimes:["\u2a02",{texClass:l.TEXCLASS.OP,movesupsub:!0}],bigoplus:["\u2a=
01",{texClass:l.TEXCLASS.OP,movesupsub:!0}],bigodot:["\u2a00",{texClass:l.T=
EXCLASS.OP,movesupsub:!0}],oint:["\u222e",{texClass:l.TEXCLASS.OP}],bigsqcu=
p:["\u2a06",{texClass:l.TEXCLASS.OP,movesupsub:!0}],smallint:["\u222b",{lar=
geop:!1}],triangleleft:"\u25c3",triangleright:"\u25b9",bigtriangleup:"\u25b=
3",bigtriangledown:"\u25bd",wedge:"\u2227",land:"\u2227",vee:"\u2228",lor:"=
\u2228",cap:"\u2229",cup:"\u222a",ddagger:"\u2021",dagger:"\u2020",sqcap:"\=
u2293",sqcup:"\u2294",uplus:"\u228e",amalg:"\u2a3f",diamond:"\u22c4",bullet=
:"\u2219",wr:"\u2240",div:"\xf7",divsymbol:"\xf7",odot:["\u2299",{largeop:!=
1}],oslash:["\u2298",{largeop:!1}],otimes:["\u2297",{largeop:!1}],ominus:["=
\u2296",{largeop:!1}],oplus:["\u2295",{largeop:!1}],mp:"\u2213",pm:"\xb1",c=
irc:"\u2218",bigcirc:"\u25ef",setminus:"\u2216",cdot:"\u22c5",ast:"\u2217",=
times:"\xd7",star:"\u22c6",propto:"\u221d",sqsubseteq:"\u2291",sqsupseteq:"=
\u2292",parallel:"\u2225",mid:"\u2223",dashv:"\u22a3",vdash:"\u22a2",leq:"\=
u2264",le:"\u2264",geq:"\u2265",ge:"\u2265",lt:"<",gt:">",succ:"\u227b",pre=
c:"\u227a",approx:"\u2248",succeq:"\u2ab0",preceq:"\u2aaf",supset:"\u2283",=
subset:"\u2282",supseteq:"\u2287",subseteq:"\u2286",in:"\u2208",ni:"\u220b"=
,notin:"\u2209",owns:"\u220b",gg:"\u226b",ll:"\u226a",sim:"\u223c",simeq:"\=
u2243",perp:"\u22a5",equiv:"\u2261",asymp:"\u224d",smile:"\u2323",frown:"\u=
2322",ne:"\u2260",neq:"\u2260",cong:"\u2245",doteq:"\u2250",bowtie:"\u22c8"=
,models:"\u22a8",notChar:"\u29f8",Leftrightarrow:"\u21d4",Leftarrow:"\u21d0=
",Rightarrow:"\u21d2",leftrightarrow:"\u2194",leftarrow:"\u2190",gets:"\u21=
90",rightarrow:"\u2192",to:["\u2192",{accent:!1}],mapsto:"\u21a6",leftharpo=
onup:"\u21bc",leftharpoondown:"\u21bd",rightharpoonup:"\u21c0",rightharpoon=
down:"\u21c1",nearrow:"\u2197",searrow:"\u2198",nwarrow:"\u2196",swarrow:"\=
u2199",rightleftharpoons:"\u21cc",hookrightarrow:"\u21aa",hookleftarrow:"\u=
21a9",longleftarrow:"\u27f5",Longleftarrow:"\u27f8",longrightarrow:"\u27f6"=
,Longrightarrow:"\u27f9",Longleftrightarrow:"\u27fa",longleftrightarrow:"\u=
27f7",longmapsto:"\u27fc",ldots:"\u2026",cdots:"\u22ef",vdots:"\u22ee",ddot=
s:"\u22f1",dotsc:"\u2026",dotsb:"\u22ef",dotsm:"\u22ef",dotsi:"\u22ef",dots=
o:"\u2026",ldotp:[".",{texClass:l.TEXCLASS.PUNCT}],cdotp:["\u22c5",{texClas=
s:l.TEXCLASS.PUNCT}],colon:[":",{texClass:l.TEXCLASS.PUNCT}]}),new n.Charac=
terMap("mathchar7",a.default.mathchar7,{Gamma:"\u0393",Delta:"\u0394",Theta=
:"\u0398",Lambda:"\u039b",Xi:"\u039e",Pi:"\u03a0",Sigma:"\u03a3",Upsilon:"\=
u03a5",Phi:"\u03a6",Psi:"\u03a8",Omega:"\u03a9",_:"_","#":"#",$:"$","%":"%"=
,"&":"&",And:"&"}),new n.DelimiterMap("delimiter",a.default.delimiter,{"(":=
"(",")":")","[":"[","]":"]","<":"\u27e8",">":"\u27e9","\\lt":"\u27e8","\\gt=
":"\u27e9","/":"/","|":["|",{texClass:l.TEXCLASS.ORD}],".":"","\\\\":"\\","=
\\lmoustache":"\u23b0","\\rmoustache":"\u23b1","\\lgroup":"\u27ee","\\rgrou=
p":"\u27ef","\\arrowvert":"\u23d0","\\Arrowvert":"\u2016","\\bracevert":"\u=
23aa","\\Vert":["\u2016",{texClass:l.TEXCLASS.ORD}],"\\|":["\u2016",{texCla=
ss:l.TEXCLASS.ORD}],"\\vert":["|",{texClass:l.TEXCLASS.ORD}],"\\uparrow":"\=
u2191","\\downarrow":"\u2193","\\updownarrow":"\u2195","\\Uparrow":"\u21d1"=
,"\\Downarrow":"\u21d3","\\Updownarrow":"\u21d5","\\backslash":"\\","\\rang=
le":"\u27e9","\\langle":"\u27e8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\=
\{":"{","\\rceil":"\u2309","\\lceil":"\u2308","\\rfloor":"\u230b","\\lfloor=
":"\u230a","\\lbrack":"[","\\rbrack":"]"}),new n.CommandMap("macros",{displ=
aystyle:["SetStyle","D",!0,0],textstyle:["SetStyle","T",!1,0],scriptstyle:[=
"SetStyle","S",!1,1],scriptscriptstyle:["SetStyle","SS",!1,2],rm:["SetFont"=
,o.TexConstant.Variant.NORMAL],mit:["SetFont",o.TexConstant.Variant.ITALIC]=
,oldstyle:["SetFont",o.TexConstant.Variant.OLDSTYLE],cal:["SetFont",o.TexCo=
nstant.Variant.CALLIGRAPHIC],it:["SetFont",o.TexConstant.Variant.MATHITALIC=
],bf:["SetFont",o.TexConstant.Variant.BOLD],bbFont:["SetFont",o.TexConstant=
.Variant.DOUBLESTRUCK],scr:["SetFont",o.TexConstant.Variant.SCRIPT],frak:["=
SetFont",o.TexConstant.Variant.FRAKTUR],sf:["SetFont",o.TexConstant.Variant=
.SANSSERIF],tt:["SetFont",o.TexConstant.Variant.MONOSPACE],mathrm:["MathFon=
t",o.TexConstant.Variant.NORMAL],mathup:["MathFont",o.TexConstant.Variant.N=
ORMAL],mathnormal:["MathFont",""],mathbf:["MathFont",o.TexConstant.Variant.=
BOLD],mathbfup:["MathFont",o.TexConstant.Variant.BOLD],mathit:["MathFont",o=
.TexConstant.Variant.MATHITALIC],mathbfit:["MathFont",o.TexConstant.Variant=
.BOLDITALIC],mathbb:["MathFont",o.TexConstant.Variant.DOUBLESTRUCK],Bbb:["M=
athFont",o.TexConstant.Variant.DOUBLESTRUCK],mathfrak:["MathFont",o.TexCons=
tant.Variant.FRAKTUR],mathbffrak:["MathFont",o.TexConstant.Variant.BOLDFRAK=
TUR],mathscr:["MathFont",o.TexConstant.Variant.SCRIPT],mathbfscr:["MathFont=
",o.TexConstant.Variant.BOLDSCRIPT],mathsf:["MathFont",o.TexConstant.Varian=
t.SANSSERIF],mathsfup:["MathFont",o.TexConstant.Variant.SANSSERIF],mathbfsf=
:["MathFont",o.TexConstant.Variant.BOLDSANSSERIF],mathbfsfup:["MathFont",o.=
TexConstant.Variant.BOLDSANSSERIF],mathsfit:["MathFont",o.TexConstant.Varia=
nt.SANSSERIFITALIC],mathbfsfit:["MathFont",o.TexConstant.Variant.SANSSERIFB=
OLDITALIC],mathtt:["MathFont",o.TexConstant.Variant.MONOSPACE],mathcal:["Ma=
thFont",o.TexConstant.Variant.CALLIGRAPHIC],mathbfcal:["MathFont",o.TexCons=
tant.Variant.BOLDCALLIGRAPHIC],symrm:["MathFont",o.TexConstant.Variant.NORM=
AL],symup:["MathFont",o.TexConstant.Variant.NORMAL],symnormal:["MathFont","=
"],symbf:["MathFont",o.TexConstant.Variant.BOLD],symbfup:["MathFont",o.TexC=
onstant.Variant.BOLD],symit:["MathFont",o.TexConstant.Variant.ITALIC],symbf=
it:["MathFont",o.TexConstant.Variant.BOLDITALIC],symbb:["MathFont",o.TexCon=
stant.Variant.DOUBLESTRUCK],symfrak:["MathFont",o.TexConstant.Variant.FRAKT=
UR],symbffrak:["MathFont",o.TexConstant.Variant.BOLDFRAKTUR],symscr:["MathF=
ont",o.TexConstant.Variant.SCRIPT],symbfscr:["MathFont",o.TexConstant.Varia=
nt.BOLDSCRIPT],symsf:["MathFont",o.TexConstant.Variant.SANSSERIF],symsfup:[=
"MathFont",o.TexConstant.Variant.SANSSERIF],symbfsf:["MathFont",o.TexConsta=
nt.Variant.BOLDSANSSERIF],symbfsfup:["MathFont",o.TexConstant.Variant.BOLDS=
ANSSERIF],symsfit:["MathFont",o.TexConstant.Variant.SANSSERIFITALIC],symbfs=
fit:["MathFont",o.TexConstant.Variant.SANSSERIFBOLDITALIC],symtt:["MathFont=
",o.TexConstant.Variant.MONOSPACE],symcal:["MathFont",o.TexConstant.Variant=
.CALLIGRAPHIC],symbfcal:["MathFont",o.TexConstant.Variant.BOLDCALLIGRAPHIC]=
,textrm:["HBox",null,o.TexConstant.Variant.NORMAL],textup:["HBox",null,o.Te=
xConstant.Variant.NORMAL],textnormal:["HBox"],textit:["HBox",null,o.TexCons=
tant.Variant.ITALIC],textbf:["HBox",null,o.TexConstant.Variant.BOLD],textsf=
:["HBox",null,o.TexConstant.Variant.SANSSERIF],texttt:["HBox",null,o.TexCon=
stant.Variant.MONOSPACE],tiny:["SetSize",.5],Tiny:["SetSize",.6],scriptsize=
:["SetSize",.7],small:["SetSize",.85],normalsize:["SetSize",1],large:["SetS=
ize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.0=
7],Huge:["SetSize",2.49],arcsin:"NamedFn",arccos:"NamedFn",arctan:"NamedFn"=
,arg:"NamedFn",cos:"NamedFn",cosh:"NamedFn",cot:"NamedFn",coth:"NamedFn",cs=
c:"NamedFn",deg:"NamedFn",det:"NamedOp",dim:"NamedFn",exp:"NamedFn",gcd:"Na=
medOp",hom:"NamedFn",inf:"NamedOp",ker:"NamedFn",lg:"NamedFn",lim:"NamedOp"=
,liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln=
:"NamedFn",log:"NamedFn",max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:"Name=
dFn",sin:"NamedFn",sinh:"NamedFn",sup:"NamedOp",tan:"NamedFn",tanh:"NamedFn=
",limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","2015"],u=
nderline:["UnderOver","2015"],overbrace:["UnderOver","23DE",1],underbrace:[=
"UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver=
","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver",=
"2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","219=
0"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver=
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Module",{value:!0}),e.BussproofsConfiguration=3Dvoid 0;var o=3Dr(9899),i=3D=
r(3980),a=3Dr(1933);r(8620),e.BussproofsConfiguration=3Do.Configuration.cre=
ate("bussproofs",{handler:{macro:["Bussproofs-macros"],environment:["Busspr=
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e,r){var n,o=3Dthis&&this.__extends||(n=3Dfunction(t,e){return(n=3DObject.s=
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e}||function(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&=
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e)throw new TypeError("Class extends value "+String(e)+" is not a construct=
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roperty(e,"__esModule",{value:!0}),e.ProofTreeItem=3Dvoid 0;var i=3Dr(3971)=
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hLabel=3Dnull,e.innerStack=3Dnew s.default(e.factory,{},!0),e}return o(e,t)=
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=3Dfunction(){var e=3Dt.prototype.toMml.call(this),r=3Dthis.innerStack.Top(=
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throw new i.default("IllegalProofCommand","Proof commands only allowed in p=
rooftree environment.");if(n.Size()<r)throw new i.default("BadProofTree","P=
roof tree badly specified.");var o=3Dn.getProperty("rootAtTop"),a=3D1!=3D=
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ommands only allowed in prooftree environment.");var o=3Ds.default.internal=
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y("rootAtTop",r)},c.AxiomF=3Dfunction(t,e){var r=3Dt.stack.Top();if("proofT=
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S=3Dfunction(t,r){["inference","proof","maxAdjust","labelledRule"].forEach(=
(function(n){var o=3De.getProperty(t,n);null!=3Do&&(e.setProperty(r,n,o),e.=
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r.childNodes[n].appendChild(a);e.setProperty(r.parent,"sequentAdjust_"+o,i)=
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n,i),2),s=3Da[0],l=3Da[1];e.getProperty(n.parent,"axiom")&&(_(t,s<0?n:i,0,"=
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y(R,"maxAdjust")?Math.max(e.getProperty(R,"maxAdjust"),P):P,e.setProperty(R=
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t.Push(t.create("node","msup",[t.create("node","menclose",[i],l),n]))},new =
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ction(t){function e(){var e=3Dnull!=3D=3Dt&&t.apply(this,arguments)||this;r=
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ction(t,e){return void 0=3D=3D=3De&&(e=3Dnull),t.toString()+(null=3D=3D=3De=
?"":String.fromCharCode(96+e))},e}(f.AmsTags);e.CasesTags=3Dm,e.CasesMethod=
s=3D{NumCases:function(t,e){if(t.stack.env.closing=3D=3D=3De.getName()){del=
ete t.stack.env.closing,t.Push(t.itemFactory.create("end").setProperty("nam=
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t),i=3Dr.getProperty("left");return h.EmpheqUtil.left(n,o,i+"\\empheqlbrace=
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place(/^\s*/,"");t.PushAll(l.default.internalMath(t,p,0)),t.i=3Do}},new s.E=
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BC"],["RoyalPurple","#613F99"],["RubineRed","#ED017D"],["Salmon","#F69289"]=
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ct.defineProperty(e,"__esModule",{value:!0}),e.ColorMethods=3Dvoid 0;var n=
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ts(e,""),n=3Dt.GetArgument(e),o=3Dt.configuration.packageData.get("color").=
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or;t.stack.env.color=3Do;var a=3Dt.ParseArg(e);i?t.stack.env.color=3Di:dele=
te t.stack.env.color;var s=3Dt.create("node","mstyle",[a],{mathcolor:o});t.=
Push(s)},e.ColorMethods.DefineColor=3Dfunction(t,e){var r=3Dt.GetArgument(e=
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e){var r=3Dt.GetArgument(e),a=3Dt.GetArgument(e),s=3Do.default.internalMath=
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var n=3Dthis&&this.__values||function(t){var e=3D"function"=3D=3Dtypeof Sym=
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w Map,s=3Dfunction(){function t(){this.userColors=3Dnew Map}return t.protot=
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w new o.default("InvalidNumber","Invalid number");var u=3DparseInt(c);if(u>=
255)throw new o.default("ModelArg2","Color values for the %1 model must be =
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>1)throw new o.default("ModelArg2","Color values for the %1 model must be b=
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turn r.length<2&&(r=3D"0"+r),"#"+r+r+r}))},6648:function(t,e,r){var n,o=3Dt=
his&&this.__extends||(n=3Dfunction(t,e){return(n=3DObject.setPrototypeOf||{=
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i=3Dr(1181),a=3Dr(9899),s=3Dr(9140),l=3Dr(3971),c=3Dfunction(t){function e(=
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color.row=3D""},e.prototype.createMml=3Dfunction(){var e=3Dt.prototype.crea=
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Configuration=3Da.Configuration.create("colortbl",{handler:{macro:["colortb=
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geData.has("color")||a.ConfigurationHandler.get("color").config(t,e)},10]})=
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olorConfiguration=3De.ColorV2Methods=3Dvoid 0;var n=3Dr(9140),o=3Dr(9899);e=
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t(s,t.stack.env,t.configuration).mml(),x=3Dt.create("node","mpadded",[t.cre=
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t,e,r,n){t.Push(t.create("node","TeXAtom",[t.create("token","mtext",{},r),t=
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otation:"updiagonalstrike","data-thickness":".05em","data-padding":0})],{wi=
dth:0,lspace:"-.5width",voffset:n}),t.create("node","mphantom",[t.create("t=
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Push(t.create("node","mstyle",[t.create("node","mfrac",[t.create("node","ms=
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scriptlevel:0}),t.create("node","mstyle",[t.create("token","mspace",{width:=
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gn:"left",denomalign:"right"})],{displaystyle:r,scriptlevel:0}))},XMathStru=
t:function(t,e){var r=3Dt.GetBrackets(e),n=3Dt.GetArgument(e);n=3Dv.Mathtoo=
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r=3Dv.MathtoolsUtil.getScript(t,e,"sup"),n=3Dv.MathtoolsUtil.getScript(t,e,=
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n=3Dt.tags;if(!("mtFormats"in n))throw new u.default("TagsNotMT","%1 can on=
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f(!o)throw new u.default("InvalidTagFormID","Tag form name can't be empty")=
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r s=3D{};Object.keys(o).forEach((function(t){"pariedDelimiters"!=3D=3Dt&&"t=
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Argument(e),c=3Da.default.keyvalOptions(l,s,!0);try{for(var p=3Di(Object.ke=
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h(t){r=3D{error:t}}finally{try{f&&!f.done&&(n=3Dp.return)&&n.call(p)}finall=
y{if(r)throw r.error}}},Array:l.default.Array,Macro:l.default.Macro,xArrow:=
s.AmsMethods.xArrow,HandleRef:s.AmsMethods.HandleRef,AmsEqnArray:s.AmsMetho=
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mbol.iterator is not defined.")},a=3Dthis&&this.__read||function(t,e){var r=
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{","\\}"],poissonbracket:["Commutator","\\{","\\}"],pb:["Commutator","\\{",=
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t:["\u22c5",{mathvariant:i.TexConstant.Variant.BOLD}],crossproduct:"\xd7",c=
ross:"\xd7",cp:"\xd7",gradientnabla:["\u2207",{mathvariant:i.TexConstant.Va=
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ginary:["\u2111",{mathvariant:i.TexConstant.Variant.NORMAL}]}),new n.Comman=
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\vdot","(","["],curl:["VectorOperator","\\vnabla\\crossproduct","(","["],la=
placian:["OperatorApplication","\\nabla^2","(","["]},o.default),new n.Comma=
ndMap("Physics-expressions-macros",{sin:"Expression",sinh:"Expression",arcs=
in:"Expression",asin:"Expression",cos:"Expression",cosh:"Expression",arccos=
:"Expression",acos:"Expression",tan:"Expression",tanh:"Expression",arctan:"=
Expression",atan:"Expression",csc:"Expression",csch:"Expression",arccsc:"Ex=
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on",det:["Expression",!1],Pr:["Expression",!1],tr:["Expression",!1],trace:[=
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k:"NamedFn",erf:["Expression",!1],Residue:["Macro","\\mathrm{Res}"],Res:["O=
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cation","{\\cal P}"],pv:["OperatorApplication","{\\cal P}"],PV:["OperatorAp=
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["OperatorApplication","\\mathrm{Im}","{"],sine:["NamedFn","sin"],hypsine:[=
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cosecant:["NamedFn","csc"],hypcosecant:["NamedFn","csch"],arccosecant:["Nam=
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cant:["NamedFn","sech"],arcsecant:["NamedFn","arcsec"],asecant:["NamedFn","=
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Fn","exp"],logarithm:["NamedFn","log"],naturallogarithm:["NamedFn","ln"],de=
terminant:["NamedFn","det"],Probability:["NamedFn","Pr"]},o.default),new n.=
CommandMap("Physics-quick-quad-macros",{qqtext:"Qqtext",qq:"Qqtext",qcomma:=
["Macro","\\qqtext*{,}"],qc:["Macro","\\qqtext*{,}"],qcc:["Qqtext","c.c."],=
qif:["Qqtext","if"],qthen:["Qqtext","then"],qelse:["Qqtext","else"],qotherw=
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xt","in"]},o.default),new n.CommandMap("Physics-derivative-macros",{diffd:"=
DiffD",flatfrac:["Macro","\\left.#1\\middle/#2\\right.",2],differential:["D=
ifferential","\\diffd"],dd:["Differential","\\diffd"],variation:["Different=
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\\diffd"],dv:["Derivative",2,"\\diffd"],partialderivative:["Derivative",3,"=
\\partial"],pderivative:["Derivative",3,"\\partial"],pdv:["Derivative",3,"\=
\partial"],functionalderivative:["Derivative",2,"\\delta"],fderivative:["De=
rivative",2,"\\delta"],fdv:["Derivative",2,"\\delta"]},o.default),new n.Com=
mandMap("Physics-bra-ket-macros",{bra:"Bra",ket:"Ket",innerproduct:"BraKet"=
,ip:"BraKet",braket:"BraKet",outerproduct:"KetBra",dyad:"KetBra",ketbra:"Ke=
tBra",op:"KetBra",expectationvalue:"Expectation",expval:"Expectation",ev:"E=
xpectation",matrixelement:"MatrixElement",matrixel:"MatrixElement",mel:"Mat=
rixElement"},o.default),new n.CommandMap("Physics-matrix-macros",{matrixqua=
ntity:"MatrixQuantity",mqty:"MatrixQuantity",pmqty:["Macro","\\mqty(#1)",1]=
,Pmqty:["Macro","\\mqty*(#1)",1],bmqty:["Macro","\\mqty[#1]",1],vmqty:["Mac=
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xQuantity",!0],spmqty:["Macro","\\smqty(#1)",1],sPmqty:["Macro","\\smqty*(#=
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trixdeterminant:["Macro","\\vmqty{#1}",1],mdet:["Macro","\\vmqty{#1}",1],sm=
det:["Macro","\\svmqty{#1}",1],identitymatrix:"IdentityMatrix",imat:"Identi=
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1}{#2}",2],zmat:["Macro","\\xmat{0}{#1}{#2}",2],paulimatrix:"PauliMatrix",p=
mat:"PauliMatrix",diagonalmatrix:"DiagonalMatrix",dmat:"DiagonalMatrix",ant=
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croMap("Physics-characters",{"|":["AutoClose",s.TEXCLASS.ORD],")":"AutoClos=
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r.call(t);if(t&&"number"=3D=3Dtypeof t.length)return{next:function(){return=
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rror(e?"Object is not iterable.":"Symbol.iterator is not defined.")},a=3Dth=
is&&this.__read||function(t,e){var r=3D"function"=3D=3Dtypeof Symbol&&t[Sym=
bol.iterator];if(!r)return t;var n,o,i=3Dr.call(t),a=3D[];try{for(;(void 0=
=3D=3D=3De||e-- >0)&&!(n=3Di.next()).done;)a.push(n.value)}catch(t){o=3D{er=
ror:t}}finally{try{n&&!n.done&&(r=3Di.return)&&r.call(i)}finally{if(o)throw=
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Lmtable=3Dvoid 0;var s=3Dr(5355),l=3Dr(6237),c=3Dr(1349),u=3Dr(505),p=3Dfun=
ction(t){function e(e,r,n){void 0=3D=3D=3Dn&&(n=3Dnull);var o=3Dt.call(this=
,e,r,n)||this;return o.itable=3Do.html("mjx-itable"),o.labels=3Do.html("mjx=
-itable"),o}return o(e,t),e.prototype.getAlignShift=3Dfunction(){var e=3Dt.=
prototype.getAlignShift.call(this);return this.isTop||(e[1]=3D0),e},e.proto=
type.toCHTML=3Dfunction(t){var e,r,n=3Dthis.standardCHTMLnode(t);this.adapt=
or.append(n,this.html("mjx-table",{},[this.itable]));try{for(var o=3Di(this=
.childNodes),a=3Do.next();!a.done;a=3Do.next()){a.value.toCHTML(this.itable=
)}}catch(t){e=3D{error:t}}finally{try{a&&!a.done&&(r=3Do.return)&&r.call(o)=
}finally{if(e)throw e.error}}this.padRows(),this.handleColumnSpacing(),this=
.handleColumnLines(),this.handleColumnWidths(),this.handleRowSpacing(),this=
.handleRowLines(),this.handleRowHeights(),this.handleFrame(),this.handleWid=
th(),this.handleLabels(),this.handleAlign(),this.handleJustify(),this.shift=
Color()},e.prototype.shiftColor=3Dfunction(){var t=3Dthis.adaptor,e=3Dt.get=
Style(this.chtml,"backgroundColor");e&&(t.setStyle(this.chtml,"backgroundCo=
lor",""),t.setStyle(this.itable,"backgroundColor",e))},e.prototype.padRows=
=3Dfunction(){var t,e,r=3Dthis.adaptor;try{for(var n=3Di(r.childNodes(this.=
itable)),o=3Dn.next();!o.done;o=3Dn.next())for(var a=3Do.value;r.childNodes=
(a).length<this.numCols;)r.append(a,this.html("mjx-mtd",{extra:!0}))}catch(=
e){t=3D{error:e}}finally{try{o&&!o.done&&(e=3Dn.return)&&e.call(n)}finally{=
if(t)throw t.error}}},e.prototype.handleColumnSpacing=3Dfunction(){var t,e,=
r,n,o=3Dthis.childNodes[0]?1/this.childNodes[0].getBBox().rscale:1,a=3Dthis=
.getEmHalfSpacing(this.fSpace[0],this.cSpace,o),s=3Dthis.frame;try{for(var =
l=3Di(this.tableRows),c=3Dl.next();!c.done;c=3Dl.next()){var u=3Dc.value,p=
=3D0;try{for(var f=3D(r=3Dvoid 0,i(u.tableCells)),h=3Df.next();!h.done;h=3D=
f.next()){var d=3Dh.value,m=3Da[p++],y=3Da[p],v=3Dd?d.chtml:this.adaptor.ch=
ildNodes(u.chtml)[p];(p>1&&"0.4em"!=3D=3Dm||s&&1=3D=3D=3Dp)&&this.adaptor.s=
etStyle(v,"paddingLeft",m),(p<this.numCols&&"0.4em"!=3D=3Dy||s&&p=3D=3D=3Dt=
his.numCols)&&this.adaptor.setStyle(v,"paddingRight",y)}}catch(t){r=3D{erro=
r:t}}finally{try{h&&!h.done&&(n=3Df.return)&&n.call(f)}finally{if(r)throw r=
.error}}}}catch(e){t=3D{error:e}}finally{try{c&&!c.done&&(e=3Dl.return)&&e.=
call(l)}finally{if(t)throw t.error}}},e.prototype.handleColumnLines=3Dfunct=
ion(){var t,e,r,n;if("none"!=3D=3Dthis.node.attributes.get("columnlines")){=
var o=3Dthis.getColumnAttributes("columnlines");try{for(var a=3Di(this.chil=
dNodes),s=3Da.next();!s.done;s=3Da.next()){var l=3Ds.value,c=3D0;try{for(va=
r u=3D(r=3Dvoid 0,i(this.adaptor.childNodes(l.chtml).slice(1))),p=3Du.next(=
);!p.done;p=3Du.next()){var f=3Dp.value,h=3Do[c++];"none"!=3D=3Dh&&this.ada=
ptor.setStyle(f,"borderLeft",".07em "+h)}}catch(t){r=3D{error:t}}finally{tr=
y{p&&!p.done&&(n=3Du.return)&&n.call(u)}finally{if(r)throw r.error}}}}catch=
(e){t=3D{error:e}}finally{try{s&&!s.done&&(e=3Da.return)&&e.call(a)}finally=
{if(t)throw t.error}}}},e.prototype.handleColumnWidths=3Dfunction(){var t,e=
,r,n;try{for(var o=3Di(this.childNodes),a=3Do.next();!a.done;a=3Do.next()){=
var s=3Da.value,l=3D0;try{for(var c=3D(r=3Dvoid 0,i(this.adaptor.childNodes=
(s.chtml))),u=3Dc.next();!u.done;u=3Dc.next()){var p=3Du.value,f=3Dthis.cWi=
dths[l++];if(null!=3D=3Df){var h=3D"number"=3D=3Dtypeof f?this.em(f):f;this=
.adaptor.setStyle(p,"width",h),this.adaptor.setStyle(p,"maxWidth",h),this.a=
daptor.setStyle(p,"minWidth",h)}}}catch(t){r=3D{error:t}}finally{try{u&&!u.=
done&&(n=3Dc.return)&&n.call(c)}finally{if(r)throw r.error}}}}catch(e){t=3D=
{error:e}}finally{try{a&&!a.done&&(e=3Do.return)&&e.call(o)}finally{if(t)th=
row t.error}}},e.prototype.handleRowSpacing=3Dfunction(){var t,e,r,n,o=3Dth=
is.childNodes[0]?1/this.childNodes[0].getBBox().rscale:1,a=3Dthis.getEmHalf=
Spacing(this.fSpace[1],this.rSpace,o),s=3Dthis.frame,l=3D0;try{for(var c=3D=
i(this.childNodes),u=3Dc.next();!u.done;u=3Dc.next()){var p=3Du.value,f=3Da=
[l++],h=3Da[l];try{for(var d=3D(r=3Dvoid 0,i(p.childNodes)),m=3Dd.next();!m=
.done;m=3Dd.next()){var y=3Dm.value;(l>1&&"0.215em"!=3D=3Df||s&&1=3D=3D=3Dl=
)&&this.adaptor.setStyle(y.chtml,"paddingTop",f),(l<this.numRows&&"0.215em"=
!=3D=3Dh||s&&l=3D=3D=3Dthis.numRows)&&this.adaptor.setStyle(y.chtml,"paddin=
gBottom",h)}}catch(t){r=3D{error:t}}finally{try{m&&!m.done&&(n=3Dd.return)&=
&n.call(d)}finally{if(r)throw r.error}}}}catch(e){t=3D{error:e}}finally{try=
{u&&!u.done&&(e=3Dc.return)&&e.call(c)}finally{if(t)throw t.error}}},e.prot=
otype.handleRowLines=3Dfunction(){var t,e,r,n;if("none"!=3D=3Dthis.node.att=
ributes.get("rowlines")){var o=3Dthis.getRowAttributes("rowlines"),a=3D0;tr=
y{for(var s=3Di(this.childNodes.slice(1)),l=3Ds.next();!l.done;l=3Ds.next()=
){var c=3Dl.value,u=3Do[a++];if("none"!=3D=3Du)try{for(var p=3D(r=3Dvoid 0,=
i(this.adaptor.childNodes(c.chtml))),f=3Dp.next();!f.done;f=3Dp.next()){var=
 h=3Df.value;this.adaptor.setStyle(h,"borderTop",".07em "+u)}}catch(t){r=3D=
{error:t}}finally{try{f&&!f.done&&(n=3Dp.return)&&n.call(p)}finally{if(r)th=
row r.error}}}}catch(e){t=3D{error:e}}finally{try{l&&!l.done&&(e=3Ds.return=
)&&e.call(s)}finally{if(t)throw t.error}}}},e.prototype.handleRowHeights=3D=
function(){this.node.attributes.get("equalrows")&&this.handleEqualRows()},e=
.prototype.handleEqualRows=3Dfunction(){for(var t=3Dthis.getRowHalfSpacing(=
),e=3Dthis.getTableData(),r=3De.H,n=3De.D,o=3De.NH,i=3De.ND,a=3Dthis.getEqu=
alRowHeight(),s=3D0;s<this.numRows;s++){var l=3Dthis.childNodes[s];this.set=
RowHeight(l,a+t[s]+t[s+1]+this.rLines[s]),a!=3D=3Do[s]+i[s]&&this.setRowBas=
eline(l,a,(a-r[s]+n[s])/2)}},e.prototype.setRowHeight=3Dfunction(t,e){this.=
adaptor.setStyle(t.chtml,"height",this.em(e))},e.prototype.setRowBaseline=
=3Dfunction(t,e,r){var n,o,a=3Dt.node.attributes.get("rowalign");try{for(va=
r s=3Di(t.childNodes),l=3Ds.next();!l.done;l=3Ds.next()){var c=3Dl.value;if=
(this.setCellBaseline(c,a,e,r))break}}catch(t){n=3D{error:t}}finally{try{l&=
&!l.done&&(o=3Ds.return)&&o.call(s)}finally{if(n)throw n.error}}},e.prototy=
pe.setCellBaseline=3Dfunction(t,e,r,n){var o=3Dt.node.attributes.get("rowal=
ign");if("baseline"=3D=3D=3Do||"axis"=3D=3D=3Do){var i=3Dthis.adaptor,a=3Di=
.lastChild(t.chtml);i.setStyle(a,"height",this.em(r)),i.setStyle(a,"vertica=
lAlign",this.em(-n));var s=3Dt.parent;if(!(s.node.isKind("mlabeledtr")&&t=
=3D=3D=3Ds.childNodes[0]||"baseline"!=3D=3De&&"axis"!=3D=3De))return!0}retu=
rn!1},e.prototype.handleFrame=3Dfunction(){this.frame&&this.fLine&&this.ada=
ptor.setStyle(this.itable,"border",".07em "+this.node.attributes.get("frame=
"))},e.prototype.handleWidth=3Dfunction(){var t=3Dthis.adaptor,e=3Dthis.get=
BBox(),r=3De.w,n=3De.L,o=3De.R;t.setStyle(this.chtml,"minWidth",this.em(n+r=
+o));var i=3Dthis.node.attributes.get("width");if(u.isPercent(i))t.setStyle=
(this.chtml,"width",""),t.setAttribute(this.chtml,"width","full");else if(!=
this.hasLabels){if("auto"=3D=3D=3Di)return;i=3Dthis.em(this.length2em(i)+2*=
this.fLine)}var a=3Dt.firstChild(this.chtml);if(t.setStyle(a,"width",i),t.s=
etStyle(a,"minWidth",this.em(r)),n||o){t.setStyle(this.chtml,"margin","");v=
ar s=3Dthis.node.attributes.get("data-width-includes-label")?"padding":"mar=
gin";n=3D=3D=3Do?t.setStyle(a,s,"0 "+this.em(o)):t.setStyle(a,s,"0 "+this.e=
m(o)+" 0 "+this.em(n))}t.setAttribute(this.itable,"width","full")},e.protot=
ype.handleAlign=3Dfunction(){var t=3Da(this.getAlignmentRow(),2),e=3Dt[0],r=
=3Dt[1];if(null=3D=3D=3Dr)"axis"!=3D=3De&&this.adaptor.setAttribute(this.ch=
tml,"align",e);else{var n=3Dthis.getVerticalPosition(r,e);this.adaptor.setA=
ttribute(this.chtml,"align","top"),this.adaptor.setStyle(this.chtml,"vertic=
alAlign",this.em(n))}},e.prototype.handleJustify=3Dfunction(){var t=3Dthis.=
getAlignShift()[0];"center"!=3D=3Dt&&this.adaptor.setAttribute(this.chtml,"=
justify",t)},e.prototype.handleLabels=3Dfunction(){if(this.hasLabels){var t=
=3Dthis.labels,e=3Dthis.node.attributes,r=3Dthis.adaptor,n=3De.get("side");=
r.setAttribute(this.chtml,"side",n),r.setAttribute(t,"align",n),r.setStyle(=
t,n,"0");var o=3Da(this.addLabelPadding(n),2),i=3Do[0],s=3Do[1];if(s){var l=
=3Dr.firstChild(this.chtml);this.setIndent(l,i,s)}this.updateRowHeights(),t=
his.addLabelSpacing()}},e.prototype.addLabelPadding=3Dfunction(t){var e=3Da=
(this.getPadAlignShift(t),3),r=3De[1],n=3De[2],o=3D{};if("right"=3D=3D=3Dt&=
&!this.node.attributes.get("data-width-includes-label")){var i=3Dthis.node.=
attributes.get("width"),s=3Dthis.getBBox(),l=3Ds.w,c=3Ds.L,p=3Ds.R;o.style=
=3D{width:u.isPercent(i)?"calc("+i+" + "+this.em(c+p)+")":this.em(c+l+p)}}r=
eturn this.adaptor.append(this.chtml,this.html("mjx-labels",o,[this.labels]=
)),[r,n]},e.prototype.updateRowHeights=3Dfunction(){for(var t=3Dthis.getTab=
leData(),e=3Dt.H,r=3Dt.D,n=3Dt.NH,o=3Dt.ND,i=3Dthis.getRowHalfSpacing(),a=
=3D0;a<this.numRows;a++){var s=3Dthis.childNodes[a];this.setRowHeight(s,e[a=
]+r[a]+i[a]+i[a+1]+this.rLines[a]),e[a]!=3D=3Dn[a]||r[a]!=3D=3Do[a]?this.se=
tRowBaseline(s,e[a]+r[a],r[a]):s.node.isKind("mlabeledtr")&&this.setCellBas=
eline(s.childNodes[0],"",e[a]+r[a],r[a])}},e.prototype.addLabelSpacing=3Dfu=
nction(){for(var t=3Dthis.adaptor,e=3Dthis.node.attributes.get("equalrows")=
,r=3Dthis.getTableData(),n=3Dr.H,o=3Dr.D,i=3De?this.getEqualRowHeight():0,a=
=3Dthis.getRowHalfSpacing(),s=3Dthis.fLine,l=3Dt.firstChild(this.labels),c=
=3D0;c<this.numRows;c++){this.childNodes[c].node.isKind("mlabeledtr")?(s&&t=
.insert(this.html("mjx-mtr",{style:{height:this.em(s)}}),l),t.setStyle(l,"h=
eight",this.em((e?i:n[c]+o[c])+a[c]+a[c+1])),l=3Dt.next(l),s=3Dthis.rLines[=
c]):s+=3Da[c]+(e?i:n[c]+o[c])+a[c+1]+this.rLines[c]}},e.kind=3Dc.MmlMtable.=
prototype.kind,e.styles=3D{"mjx-mtable":{"vertical-align":".25em","text-ali=
gn":"center",position:"relative","box-sizing":"border-box","border-spacing"=
:0,"border-collapse":"collapse"},'mjx-mstyle[size=3D"s"] mjx-mtable':{"vert=
ical-align":".354em"},"mjx-labels":{position:"absolute",left:0,top:0},"mjx-=
table":{display:"inline-block","vertical-align":"-.5ex","box-sizing":"borde=
r-box"},"mjx-table > mjx-itable":{"vertical-align":"middle","text-align":"l=
eft","box-sizing":"border-box"},"mjx-labels > mjx-itable":{position:"absolu=
te",top:0},'mjx-mtable[justify=3D"left"]':{"text-align":"left"},'mjx-mtable=
[justify=3D"right"]':{"text-align":"right"},'mjx-mtable[justify=3D"left"][s=
ide=3D"left"]':{"padding-right":"0 ! important"},'mjx-mtable[justify=3D"lef=
t"][side=3D"right"]':{"padding-left":"0 ! important"},'mjx-mtable[justify=
=3D"right"][side=3D"left"]':{"padding-right":"0 ! important"},'mjx-mtable[j=
ustify=3D"right"][side=3D"right"]':{"padding-left":"0 ! important"},"mjx-mt=
able[align]":{"vertical-align":"baseline"},'mjx-mtable[align=3D"top"] > mjx=
-table':{"vertical-align":"top"},'mjx-mtable[align=3D"bottom"] > mjx-table'=
:{"vertical-align":"bottom"},'mjx-mtable[side=3D"right"] mjx-labels':{"min-=
width":"100%"}},e}(l.CommonMtableMixin(s.CHTMLWrapper));e.CHTMLmtable=3Dp},=
7056:function(t,e,r){var n,o=3Dthis&&this.__extends||(n=3Dfunction(t,e){ret=
urn(n=3DObject.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e=
){t.__proto__=3De}||function(t,e){for(var r in e)Object.prototype.hasOwnPro=
perty.call(e,r)&&(t[r]=3De[r])})(t,e)},function(t,e){if("function"!=3Dtypeo=
f e&&null!=3D=3De)throw new TypeError("Class extends value "+String(e)+" is=
 not a constructor or null");function r(){this.constructor=3Dt}n(t,e),t.pro=
totype=3Dnull=3D=3D=3De?Object.create(e):(r.prototype=3De.prototype,new r)}=
);Object.defineProperty(e,"__esModule",{value:!0}),e.CHTMLmtd=3Dvoid 0;var =
i=3Dr(5355),a=3Dr(5164),s=3Dr(4359),l=3Dfunction(t){function e(){return nul=
l!=3D=3Dt&&t.apply(this,arguments)||this}return o(e,t),e.prototype.toCHTML=
=3Dfunction(e){t.prototype.toCHTML.call(this,e);var r=3Dthis.node.attribute=
s.get("rowalign"),n=3Dthis.node.attributes.get("columnalign");r!=3D=3Dthis.=
parent.node.attributes.get("rowalign")&&this.adaptor.setAttribute(this.chtm=
l,"rowalign",r),"center"=3D=3D=3Dn||"mlabeledtr"=3D=3D=3Dthis.parent.kind&&=
this=3D=3D=3Dthis.parent.childNodes[0]&&n=3D=3D=3Dthis.parent.parent.node.a=
ttributes.get("side")||this.adaptor.setStyle(this.chtml,"textAlign",n),this=
.parent.parent.node.getProperty("useHeight")&&this.adaptor.append(this.chtm=
l,this.html("mjx-tstrut"))},e.kind=3Ds.MmlMtd.prototype.kind,e.styles=3D{"m=
jx-mtd":{display:"table-cell","text-align":"center",padding:".215em .4em"},=
"mjx-mtd:first-child":{"padding-left":0},"mjx-mtd:last-child":{"padding-rig=
ht":0},"mjx-mtable > * > mjx-itable > *:first-child > mjx-mtd":{"padding-to=
p":0},"mjx-mtable > * > mjx-itable > *:last-child > mjx-mtd":{"padding-bott=
om":0},"mjx-tstrut":{display:"inline-block",height:"1em","vertical-align":"=
-.25em"},'mjx-labels[align=3D"left"] > mjx-mtr > mjx-mtd':{"text-align":"le=
ft"},'mjx-labels[align=3D"right"] > mjx-mtr > mjx-mtd':{"text-align":"right=
"},"mjx-mtd[extra]":{padding:0},'mjx-mtd[rowalign=3D"top"]':{"vertical-alig=
n":"top"},'mjx-mtd[rowalign=3D"center"]':{"vertical-align":"middle"},'mjx-m=
td[rowalign=3D"bottom"]':{"vertical-align":"bottom"},'mjx-mtd[rowalign=3D"b=
aseline"]':{"vertical-align":"baseline"},'mjx-mtd[rowalign=3D"axis"]':{"ver=
tical-align":".25em"}},e}(a.CommonMtdMixin(i.CHTMLWrapper));e.CHTMLmtd=3Dl}=
,1259:function(t,e,r){var n,o=3Dthis&&this.__extends||(n=3Dfunction(t,e){re=
turn(n=3DObject.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,=
e){t.__proto__=3De}||function(t,e){for(var r in e)Object.prototype.hasOwnPr=
operty.call(e,r)&&(t[r]=3De[r])})(t,e)},function(t,e){if("function"!=3Dtype=
of e&&null!=3D=3De)throw new TypeError("Class extends value "+String(e)+" i=
s not a constructor or null");function r(){this.constructor=3Dt}n(t,e),t.pr=
ototype=3Dnull=3D=3D=3De?Object.create(e):(r.prototype=3De.prototype,new r)=
});Object.defineProperty(e,"__esModule",{value:!0}),e.CHTMLmtext=3Dvoid 0;v=
ar i=3Dr(5355),a=3Dr(6319),s=3Dr(4770),l=3Dfunction(t){function e(){return =
null!=3D=3Dt&&t.apply(this,arguments)||this}return o(e,t),e.kind=3Ds.MmlMte=
xt.prototype.kind,e}(a.CommonMtextMixin(i.CHTMLWrapper));e.CHTMLmtext=3Dl},=
3571:function(t,e,r){var n,o=3Dthis&&this.__extends||(n=3Dfunction(t,e){ret=
urn(n=3DObject.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e=
){t.__proto__=3De}||function(t,e){for(var r in e)Object.prototype.hasOwnPro=
perty.call(e,r)&&(t[r]=3De[r])})(t,e)},function(t,e){if("function"!=3Dtypeo=
f e&&null!=3D=3De)throw new TypeError("Class extends value "+String(e)+" is=
 not a constructor or null");function r(){this.constructor=3Dt}n(t,e),t.pro=
totype=3Dnull=3D=3D=3De?Object.create(e):(r.prototype=3De.prototype,new r)}=
);Object.defineProperty(e,"__esModule",{value:!0}),e.CHTMLmlabeledtr=3De.CH=
TMLmtr=3Dvoid 0;var i=3Dr(5355),a=3Dr(5766),s=3Dr(5766),l=3Dr(5022),c=3Dfun=
ction(t){function e(){return null!=3D=3Dt&&t.apply(this,arguments)||this}re=
turn o(e,t),e.prototype.toCHTML=3Dfunction(e){t.prototype.toCHTML.call(this=
,e);var r=3Dthis.node.attributes.get("rowalign");"baseline"!=3D=3Dr&&this.a=
daptor.setAttribute(this.chtml,"rowalign",r)},e.kind=3Dl.MmlMtr.prototype.k=
ind,e.styles=3D{"mjx-mtr":{display:"table-row"},'mjx-mtr[rowalign=3D"top"] =
> mjx-mtd':{"vertical-align":"top"},'mjx-mtr[rowalign=3D"center"] > mjx-mtd=
':{"vertical-align":"middle"},'mjx-mtr[rowalign=3D"bottom"] > mjx-mtd':{"ve=
rtical-align":"bottom"},'mjx-mtr[rowalign=3D"baseline"] > mjx-mtd':{"vertic=
al-align":"baseline"},'mjx-mtr[rowalign=3D"axis"] > mjx-mtd':{"vertical-ali=
gn":".25em"}},e}(a.CommonMtrMixin(i.CHTMLWrapper));e.CHTMLmtr=3Dc;var u=3Df=
unction(t){function e(){return null!=3D=3Dt&&t.apply(this,arguments)||this}=
return o(e,t),e.prototype.toCHTML=3Dfunction(e){t.prototype.toCHTML.call(th=
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var o=3Dthis.cssFontStyles(r);this.adaptor.setAttributes(n,{style:o})}retur=
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h>1){if(null=3D=3D=3De){e=3D0;var d=3Df>1&&f=3D=3D=3Dh;try{for(var m=3Ds(th=
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x.return)&&l.call(x)}finally{if(a)throw a.error}}}},e.prototype.getTableDat=
a=3Dfunction(){if(this.data)return this.data;for(var t=3Dnew Array(this.num=
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a=3Dthis.tableRows,s=3D0;s<a.length;s++){for(var l=3D0,c=3Da[s],u=3Dc.node.=
attributes.get("rowalign"),p=3D0;p<c.numCells;p++){var f=3Dc.getChild(p);l=
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t,e,r,n,o,i,a,s){var l=3Dt.getBBox(),c=3Dl.h,u=3Dl.d,p=3Dl.w,f=3Dt.parent.b=
box.rscale;1!=3D=3Dt.parent.bbox.rscale&&(c*=3Df,u*=3Df,p*=3Df),this.node.g=
etProperty("useHeight")&&(c<.75&&(c=3D.75),u<.25&&(u=3D.25));var h=3D0;retu=
rn"baseline"!=3D=3D(n=3Dt.node.attributes.get("rowalign")||n)&&"axis"!=3D=
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hCell=3Dfunction(t,e){t.childNodes[0]&&t.childNodes[0].getBBox().pwidth&&th=
is.pwidthCells.push([t,e])},e.prototype.computeBBox=3Dfunction(t,e){void 0=
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s.node.attributes.get("equalrows")){var l=3Dthis.getEqualRowHeight();r=3Du.=
sum([].concat(this.rLines,this.rSpace))+l*this.numRows}else r=3Du.sum(a.con=
cat(s,this.rLines,this.rSpace));r+=3D2*(this.fLine+this.fSpace[1]);var p=3D=
this.getComputedWidths();n=3Du.sum(p.concat(this.cLines,this.cSpace))+2*(th=
is.fLine+this.fSpace[0]);var f=3Dthis.node.attributes.get("width");"auto"!=
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getBBoxHD(r),2),d=3Dh[0],m=3Dh[1];t.h=3Dd,t.d=3Dm,t.w=3Dn;var y=3Di(this.ge=
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mnPWidths()},e.prototype.setChildPWidths=3Dfunction(t,e,r){var n=3Dthis.nod=
e.attributes.get("width");if(!c.isPercent(n))return!1;this.hasLabels||(this=
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w,a=3Do.L,s=3Do.R,l=3Dthis.node.attributes.get("data-width-includes-label")=
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e.attributes.get("equalcolumns")?Array(this.numCols).fill(this.percent(1/Ma=
th.max(1,this.numCols))):this.getColumnAttributes("columnwidth",0);this.cWi=
dths=3Dthis.getColumnWidthsFixed(f,p);var h=3Dthis.getComputedWidths();retu=
rn this.pWidth=3Du.sum(h.concat(this.cLines,this.cSpace))+2*(this.fLine+thi=
s.fSpace[0]),this.isTop&&(this.bbox.w=3Dthis.pWidth),this.setColumnPWidths(=
),this.pWidth!=3D=3Di&&this.parent.invalidateBBox(),this.pWidth!=3D=3Di},e.=
prototype.setColumnPWidths=3Dfunction(){var t,e,r=3Dthis.cWidths;try{for(va=
r n=3Ds(this.pwidthCells),o=3Dn.next();!o.done;o=3Dn.next()){var a=3Di(o.va=
lue,2),l=3Da[0],c=3Da[1];l.setChildPWidths(!1,r[c])&&(l.invalidateBBox(),l.=
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e.call(n)}finally{if(t)throw t.error}}},e.prototype.getBBoxHD=3Dfunction(t)=
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ar o=3Dthis.font.params.axis_height,a=3Dt/2;return{top:[0,t],center:[a,a],b=
ottom:[t,0],baseline:[a,a],axis:[a+o,a-o]}[r]||[a,a]}var s=3Dthis.getVertic=
alPosition(n,r);return[s,t-s]},e.prototype.getBBoxLR=3Dfunction(){if(this.h=
asLabels){var t=3Dthis.node.attributes,e=3Dt.get("side"),r=3Di(this.getPadA=
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ncludes-label");return a&&this.frame&&this.fSpace[0]&&(n-=3Dthis.fSpace[0])=
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otype.getPadAlignShift=3Dfunction(t){var e=3Dthis.getTableData().L+this.len=
gth2em(this.node.attributes.get("minlabelspacing")),r=3Di(null=3D=3Dthis.st=
yles?["",""]:[this.styles.get("padding-left"),this.styles.get("padding-righ=
t")],2),n=3Dr[0],o=3Dr[1];(n||o)&&(e=3DMath.max(e,this.length2em(n||"0"),th=
is.length2em(o||"0")));var a=3Di(this.getAlignShift(),2),s=3Da[0],l=3Da[1];=
return s=3D=3D=3Dt&&(l=3D"left"=3D=3D=3Dt?Math.max(e,l)-e:Math.min(-e,l)+e)=
,[e,s,l]},e.prototype.getAlignShift=3Dfunction(){return this.isTop?t.protot=
ype.getAlignShift.call(this):[this.container.getChildAlign(this.containerI)=
,0]},e.prototype.getWidth=3Dfunction(){return this.pWidth||this.getBBox().w=
},e.prototype.getEqualRowHeight=3Dfunction(){var t=3Dthis.getTableData(),e=
=3Dt.H,r=3Dt.D,n=3DArray.from(e.keys()).map((function(t){return e[t]+r[t]})=
);return Math.max.apply(Math,n)},e.prototype.getComputedWidths=3Dfunction()=
{var t=3Dthis,e=3Dthis.getTableData().W,r=3DArray.from(e.keys()).map((funct=
ion(r){return"number"=3D=3Dtypeof t.cWidths[r]?t.cWidths[r]:e[r]}));return =
this.node.attributes.get("equalcolumns")&&(r=3DArray(r.length).fill(u.max(r=
))),r},e.prototype.getColumnWidths=3Dfunction(){var t=3Dthis.node.attribute=
s.get("width");if(this.node.attributes.get("equalcolumns"))return this.getE=
qualColumns(t);var e=3Dthis.getColumnAttributes("columnwidth",0);return"aut=
o"=3D=3D=3Dt?this.getColumnWidthsAuto(e):c.isPercent(t)?this.getColumnWidth=
sPercent(e):this.getColumnWidthsFixed(e,this.length2em(t))},e.prototype.get=
EqualColumns=3Dfunction(t){var e,r=3DMath.max(1,this.numCols);if("auto"=3D=
=3D=3Dt){var n=3Dthis.getTableData().W;e=3Du.max(n)}else if(c.isPercent(t))=
e=3Dthis.percent(1/r);else{var o=3Du.sum([].concat(this.cLines,this.cSpace)=
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numCols).fill(e)},e.prototype.getColumnWidthsAuto=3Dfunction(t){var e=3Dthi=
s;return t.map((function(t){return"auto"=3D=3D=3Dt||"fit"=3D=3D=3Dt?null:c.=
isPercent(t)?t:e.length2em(t)}))},e.prototype.getColumnWidthsPercent=3Dfunc=
tion(t){var e=3Dthis,r=3Dt.indexOf("fit")>=3D0,n=3D(r?this.getTableData():{=
W:null}).W;return Array.from(t.keys()).map((function(o){var i=3Dt[o];return=
"fit"=3D=3D=3Di?null:"auto"=3D=3D=3Di?r?n[o]:null:c.isPercent(i)?i:e.length=
2em(i)}))},e.prototype.getColumnWidthsFixed=3Dfunction(t,e){var r=3Dthis,n=
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)),i=3Dn.filter((function(e){return"auto"=3D=3D=3Dt[e]})),a=3Do.length||i.l=
ength,s=3D(a?this.getTableData():{W:null}).W,l=3De-u.sum([].concat(this.cLi=
nes,this.cSpace))-2*this.fSpace[0],c=3Dl;n.forEach((function(e){var n=3Dt[e=
];c-=3D"fit"=3D=3D=3Dn||"auto"=3D=3D=3Dn?s[e]:r.length2em(n,l)}));var p=3Da=
&&c>0?c/a:0;return n.map((function(e){var n=3Dt[e];return"fit"=3D=3D=3Dn?s[=
e]+p:"auto"=3D=3D=3Dn?s[e]+(0=3D=3D=3Do.length?p:0):r.length2em(n,l)}))},e.=
prototype.getVerticalPosition=3Dfunction(t,e){for(var r=3Dthis.node.attribu=
tes.get("equalrows"),n=3Dthis.getTableData(),o=3Dn.H,a=3Dn.D,s=3Dr?this.get=
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+)c+=3Dl[u]+(r?s:o[u]+a[u])+l[u+1]+this.rLines[u];var p=3Di(r?[(s+o[t]-a[t]=
)/2,(s-o[t]+a[t])/2]:[o[t],a[t]],2),f=3Dp[0],h=3Dp[1];return c+=3D{top:0,ce=
nter:l[t]+(f+h)/2,bottom:l[t]+f+h+l[t+1],baseline:l[t]+f,axis:l[t]+f-.25}[e=
]||0},e.prototype.getEmHalfSpacing=3Dfunction(t,e,r){void 0=3D=3D=3Dr&&(r=
=3D1);var n=3Dthis.em(t*r),o=3Dthis.addEm(e,2/r);return o.unshift(n),o.push=
(n),o},e.prototype.getRowHalfSpacing=3Dfunction(){var t=3Dthis.rSpace.map((=
function(t){return t/2}));return t.unshift(this.fSpace[1]),t.push(this.fSpa=
ce[1]),t},e.prototype.getColumnHalfSpacing=3Dfunction(){var t=3Dthis.cSpace=
.map((function(t){return t/2}));return t.unshift(this.fSpace[0]),t.push(thi=
s.fSpace[0]),t},e.prototype.getAlignmentRow=3Dfunction(){var t=3Di(c.split(=
this.node.attributes.get("align")),2),e=3Dt[0],r=3Dt[1];if(null=3D=3Dr)retu=
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unction(t){return t.name})).join(", ")),t.push("Output Jax: "+r.document.ou=
tputJax.name),t.push("Document Type: "+r.document.kind),t.join("<br/>")}),'=
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nfo("MathJax Original Source",(function(){if(!r.menu.mathItem)return"";var =
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ttings)},t.prototype.initMenu=3Dfunction(){var t=3Dthis,e=3Dnew h.Parser([[=
"contextMenu",c.MJContextMenu.fromJson.bind(c.MJContextMenu)]]);this.menu=
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nts"),this.variable("semantics"),this.variable("zoom"),this.variable("zscal=
e"),this.variable("renderer",(function(e){return t.setRenderer(e)})),this.v=
ariable("alt"),this.variable("cmd"),this.variable("ctrl"),this.variable("sh=
ift"),this.variable("scale",(function(e){return t.setScale(e)})),this.varia=
ble("explorer",(function(e){return t.setExplorer(e)})),this.a11yVar("highli=
ght"),this.a11yVar("backgroundColor"),this.a11yVar("backgroundOpacity"),thi=
s.a11yVar("foregroundColor"),this.a11yVar("foregroundOpacity"),this.a11yVar=
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a11yVar("treeColoring"),this.a11yVar("infoType"),this.a11yVar("infoRole"),t=
his.a11yVar("infoPrefix"),this.variable("autocollapse"),this.variable("coll=
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ubmenu("Copy","Copy to Clipboard",[this.command("MathMLcode","MathML Code",=
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Renderer","Math Renderer",this.radioGroup("renderer",[["CHTML"],["SVG"]])),=
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is.rule(),this.radioGroup("zoom",[["Click"],["DoubleClick","Double-Click"],=
["NoZoom","No Zoom"]]),this.rule(),this.label("TriggerRequires","Trigger Re=
quires:"),this.checkbox(v?"Option":"Alt",v?"Option":"Alt","alt"),this.check=
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All Math...",(function(){return t.scaleAllMath()})),this.rule(),this.checkb=
ox("texHints","Add TeX hints to MathML","texHints"),this.checkbox("semantic=
s","Add original as annotation","semantics"),this.rule(),this.command("Rese=
t","Reset to defaults",(function(){return t.resetDefaults()}))]),this.subme=
nu("Accessibility","Accessibility",[this.checkbox("Activate","Activate","ex=
plorer"),this.submenu("Speech","Speech",[this.checkbox("Speech","Speech Out=
put","speech"),this.checkbox("Subtitles","Speech Subtitles","subtitles"),th=
is.checkbox("Braille","Braille Output","braille"),this.checkbox("View Brail=
le","Braille Subtitles","viewBraille"),this.rule(),this.submenu("A11yLangua=
ge","Language"),this.rule(),this.submenu("Mathspeak","Mathspeak Rules",this=
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collapsible"),this.checkbox("AutoCollapse","Auto Collapse","autocollapse",{=
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out","About MathJax",(function(){return t.about.post()})),this.command("Hel=
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nu(r),this.annotationText.attachMenu(r),this.mathmlCode.attachMenu(r),this.=
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r)return void 0!=3D=3Dthis.document.options.a11y[t]?this.document.options.a=
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s.document.outputJax.options.scale=3DparseFloat(t),this.document.rerender()=
},t.prototype.setRenderer=3Dfunction(t){var e=3Dthis;if(this.jax[t])this.se=
tOutputJax(t);else{var r=3Dt.toLowerCase();this.loadComponent("output/"+r,(=
function(){var n=3Dy.startup;r in n.constructors&&(n.useOutput(r,!0),n.outp=
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pe.setOutputJax=3Dfunction(t){this.jax[t].setAdaptor(this.document.adaptor)=
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rder=3Dfunction(t){this.menu.store.inTaborder(t)},t.prototype.setAssistiveM=
ml=3Dfunction(t){this.document.options.enableAssistiveMml=3Dt,!t||y._.a11y&=
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t.prototype.setExplorer=3Dfunction(t){this.enableExplorerItems(t),this.docu=
ment.options.enableExplorer=3Dt,!t||y._.a11y&&y._.a11y.explorer?this.rerend=
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ction(){var t=3D(100*parseFloat(this.settings.scale)).toFixed(1).replace(/.=
0$/,""),e=3Dprompt("Scale all mathematics (compared to surrounding text) by=
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unction(e){t._loadingPromise?(t._loadingPromise=3Dnull,t._loadingFailed(e))=
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t.outputJax.reset(),r.transferMathList(s),r.document.processed=3Ds.processe=
d,t._loadingPromise||(r.document.outputJax.reset(),r.rerender("complexity"=
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t){return this.MmlVisitor.visitTree(t.root,t,{texHints:this.settings.texHin=
ts,semantics:this.settings.semantics&&"MathML"!=3D=3Dt.inputJax.name})},t.p=
rototype.zoom=3Dfunction(t,e,r){t&&!this.isZoomEvent(t,e)||(this.menu.mathI=
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t.altKey)&&(!this.settings.ctrl||t.ctrlKey)&&(!this.settings.cmd||t.metaKey=
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oid 0=3D=3D=3De&&(e=3Da.STATE.TYPESET),this.rerenderStart=3DMath.min(e,this=
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cument.reset({inputJax:[]}),this.document.rerender(this.rerenderStart),this=
.rerenderStart=3Da.STATE.LAST)},t.prototype.copyMathML=3Dfunction(){this.co=
pyToClipboard(this.toMML(this.menu.mathItem))},t.prototype.copyOriginal=3Df=
unction(){this.copyToClipboard(this.menu.mathItem.math.trim())},t.prototype=
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nt("textarea");e.value=3Dt,e.setAttribute("readonly",""),e.style.cssText=3D=
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cument.body.appendChild(e),e.select();try{document.execCommand("copy")}catc=
h(t){alert("Can't copy to clipboard: "+t.message)}document.body.removeChild=
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/*!
 *************************************************************************
 *
 *  mhchemParser.ts
 *  4.1.0
 *
 *  Parser for the \ce command and \pu command for MathJax and Co.
 *
 *  mhchem's \ce is a tool for writing beautiful chemical equations easily.
 *  mhchem's \pu is a tool for writing physical units easily.
 *
 *  ----------------------------------------------------------------------
 *
 *  Copyright (c) 2015-2021 Martin Hensel
 *
 *  Licensed under the Apache License, Version 2.0 (the "License");
 *  you may not use this file except in compliance with the License.
 *  You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 *  Unless required by applicable law or agreed to in writing, software
 *  distributed under the License is distributed on an "AS IS" BASIS,
 *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied=
.
 *  See the License for the specific language governing permissions and
 *  limitations under the License.
 *
 *  ----------------------------------------------------------------------
 *
 *  https://github.com/mhchem/mhchemParser
 *
 */
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til.close(this)},e.prototype.generateSpan=3Dfunction(){this.span=3Ddocument=
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n r(){this.constructor=3Dt}n(t,e),t.prototype=3Dnull=3D=3D=3De?Object.creat=
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input=3Ddocument.createElement("input"),this.input.addEventListener("keydow=
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put.setAttribute("type","text"),this.input.setAttribute("tabindex","-1"),th=
is.span.appendChild(this.input)},e.prototype.inputKey=3Dfunction(t){this.bu=
bbleKey(),this.inputEvent=3D!0},e.prototype.keydown=3Dfunction(e){if(this.i=
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n this.inputEvent=3D!1,void e.stopPropagation();t.prototype.keydown.call(th=
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e.updateSpan=3Dfunction(){var t;try{t=3Dthis.variable.getValue(a.MenuUtil.g=
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uUtil.close(this)},e.prototype.focus=3Dfunction(){t.prototype.focus.call(th=
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totype.generateHtml.call(this),this.html.classList.add(s.HtmlClasses.MENUSL=
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nction(){this.span=3Ddocument.createElement("span"),this.labelSpan=3Ddocume=
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s.labelSpan.appendChild(this.html.childNodes[0]),this.html.appendChild(this=
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nput.setAttribute("aria-valuenow",t),this.input.setAttribute("aria-valuetex=
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nction(t,e){function r(){this.constructor=3Dt}n(t,e),t.prototype=3Dnull=3D=
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rototype.executeAction=3Dfunction(){this.submenu.isPosted()?this.submenu.un=
post():this.submenu.post()},e.prototype.generateHtml=3Dfunction(){t.prototy=
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205:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.KEY=3D=
void 0,function(t){t[t.RETURN=3D13]=3D"RETURN",t[t.ESCAPE=3D27]=3D"ESCAPE",=
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nction(t,e,r){var n,o=3Dthis&&this.__extends||(n=3Dfunction(t,e){return(n=
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i=3Dfunction(t){function e(){return null!=3D=3Dt&&t.apply(this,arguments)||=
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his.html.setAttribute(e,t[e])},Object.defineProperty(e.prototype,"html",{ge=
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n(t){this._html=3Dt,this.addEvents(t)},enumerable:!1,configurable:!0}),e.pr=
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},e.prototype.focus=3Dfunction(){var t=3Dthis.html;t.setAttribute("tabindex=
","0"),t.focus()},e.prototype.unfocus=3Dfunction(){var t=3Dthis.html;t.hasA=
ttribute("tabindex")&&t.setAttribute("tabindex","-1");try{t.blur()}catch(t)=
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),a=3Dr(3205),s=3Dfunction(){function t(t){this.menu=3Dt,this.store=3D[],th=
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HED+"_"+o.MenuUtil.counter(),this.taborder=3D!0,this.attrMap=3D{}}return Ob=
ject.defineProperty(t.prototype,"active",{get:function(){return this._activ=
e},set:function(t){do{if(-1!=3D=3Dthis.store.indexOf(t)){this._active=3Dt;b=
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-1=3D=3D=3Dr||0=3D=3D=3Dr?e:r-1,this.active=3Dthis.store[r],this.active},t.=
prototype.clear=3Dfunction(){this.remove(this.store)},t.prototype.insert=3D=
function(t){var e,r,o=3Dt instanceof HTMLElement?[t]:t;try{for(var i=3Dn(o)=
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tains(this.attachedClass)||(t.classList.add(this.attachedClass),this.tabord=
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ction(t){t.classList.contains(this.attachedClass)&&(t.classList.remove(this=
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s.attachedClass);this.store=3D[].slice.call(t)},t.prototype.insertTaborder_=
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unction(t){return t.setAttribute("tabindex","-1")}))},t.prototype.addTabind=
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TAB,t.getAttribute("tabindex")),t.setAttribute("tabindex","0")},t.prototype=
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mlAttrs.OLDTAB)):t.removeAttribute("tabindex")},t.prototype.addEvents=3Dfun=
ction(t){t.hasAttribute(i.HtmlAttrs.COUNTER)||(this.addEvent(t,"contextmenu=
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counter++)},t.prototype.addEvent=3Dfunction(t,e,r){var n=3Di.HtmlAttrs[e.to=
UpperCase()+"FUNC"];this.attrMap[n+this.counter]=3Dr,t.addEventListener(e,r=
)},t.prototype.removeEvents=3Dfunction(t){if(t.hasAttribute(i.HtmlAttrs.COU=
NTER)){var e=3Dt.getAttribute(i.HtmlAttrs.COUNTER);this.removeEvent(t,"cont=
extmenu",e),this.removeEvent(t,"keydown",e),t.removeAttribute(i.HtmlAttrs.C=
OUNTER)}},t.prototype.removeEvent=3Dfunction(t,e,r){var n=3Di.HtmlAttrs[e.t=
oUpperCase()+"FUNC"],o=3Dthis.attrMap[n+r];t.removeEventListener(e,o)},t.pr=
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<body>
<!-- <header id=3D"title-block-header">
     <h1 class=3D"title">FormatTest</h1> -->
</header>
<section id=3D"yadah-yadah" class=3D"cell markdown">
<h1>Yadah Yadah</h1>
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/9k=3D" /></p>
</section>
<section id=3D"yadah-yadah" class=3D"cell markdown">
<h2>Yadah Yadah</h2>
<p>Lorem ipsum dolor sit amet, consectetur adipiscing elit, <strong>sed
do eiusmod</strong> tempor <em>incididunt ut labore</em> et dolore magna
aliqua.</p>
<ul>
<li>Lorem ipsum</li>
<li>Dolor sit amet</li>
</ul>
<h3 id=3D"yadah-yadah-1">Yadah Yadah</h3>
<p><span class=3D"math inline">\(\textsf{distance} =3D \sqrt{ (b_{z_1} -
a_{z_1})^2 + (b_{z_2} - a_{z_2})^2 }\)</span></p>
<table style=3D"border:1px solid; margin-top:20px; margin-bottom:20px">
    <caption style=3D"text-align:center">Example of a Decision Model</capti=
on>
    <tr><td style=3D"padding:20px; background-color:white"><img src=3D"data=
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<div class=3D"cell code" data-execution_count=3D"1" data-hide_input=3D"true=
" data-scrolled=3D"true">
<div class=3D"output display_data">
<table style=3D"white-space: nowrap; margin-left: 0">
<caption><center><font color=3D"black"><b> Dataset #1 </b></font></center><=
/caption>
 <thead>
  <tr>
   <th style=3D"text-align:right;"> x1 </th>
   <th style=3D"text-align:right;"> x2 </th>
   <th style=3D"text-align:right;"> x3 </th>
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 </thead>
<tbody>
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   <td style=3D"text-align:right;"> 1 </td>
   <td style=3D"text-align:right;"> 5 </td>
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  <tr>
   <td style=3D"text-align:right;"> 2 </td>
   <td style=3D"text-align:right;"> 6 </td>
   <td style=3D"text-align:right;"> B </td>
  </tr>
  <tr>
   <td style=3D"text-align:right;"> 3 </td>
   <td style=3D"text-align:right;"> 7 </td>
   <td style=3D"text-align:right;"> C </td>
  </tr>
</tbody>
</table>
</div>
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</head>
<body>
$for(include-before)$
$include-before$
$endfor$
$if(title)$
<!-- <header id=3D"title-block-header">
     <h1 class=3D"title">$title$</h1> -->
$if(subtitle)$
<p class=3D"subtitle">$subtitle$</p>
$endif$
$for(author)$
<p class=3D"author">$author$</p>
$endfor$
$if(date)$
<p class=3D"date">$date$</p>
$endif$
$if(abstract)$
<div class=3D"abstract">
<div class=3D"abstract-title">$abstract-title$</div>
$abstract$
</div>
$endif$
</header>
$endif$
$if(toc)$
<nav id=3D"$idprefix$TOC" role=3D"doc-toc">
$if(toc-title)$
<h2 id=3D"$idprefix$toc-title">$toc-title$</h2>
$endif$
$table-of-contents$
</nav>
$endif$
$body$
$for(include-after)$
$include-after$
$endfor$
</body>
</html>

------=_Part_2132_509218852.1644690549512--

Re: Jupyter (.ipynb) to Word (docx.) incorrect results

[John MacFarlane]

Richard Huntsinger <rhuntsinger-TVLZxgkOlNX2fBVCVOL8/A@public.gmane.org> writes:

> Approach #1: 
>
> pandoc FormatTest.ipynb --from=ipynb --to=html --self-contained 
> --template=rah.tpl --metadata=title:FormatTest --mathjax --css=rah.css 
> --lua-filter=rah.lua --dpi=600 --output=FormatTest.html
>
>
>    - FormatTest.html
>       - First image *does not* center (it’s placed by markdown).
>       - Math expression *does not* render right, rather it renders as 
>       characters.
>       - *Does* show every else right. 

I downloaded FormatTest.html and opened it in my browser. The
math showed up fine...  Most of the other issues you mention have
to do with styling.  Please read the beginning of the pandoc
manual, which outlines what you should expect from pandoc.

"Because pandoc’s intermediate representation of a document is
less expressive than many of the formats it converts between, one
should not expect perfect conversions between every format and
every other. Pandoc attempts to preserve the structural elements
of a document, but not formatting details such as margin size.
And some document elements, such as complex tables, may not fit
into pandoc’s simple document model. While conversions from
pandoc’s Markdown to all formats aspire to be perfect,
conversions from formats more expressive than pandoc’s Markdown
can be expected to be lossy."

Things like fonts, image centering, and spacing are
presentational, not structural, and this is not the sort of thing
you should expect pandoc to preserve.

> pandoc FormatTest.html --from=html --to=docx  --self-contained --mathjax 
> --dpi=600 --output=FormatTest1.docx

Here, if you want the math to be translated properly, use
-f html+tex_math_single_backslash

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