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* Re: Jupyter (.ipynb) to Word (docx.) incorrect results
       [not found] ` <4994af1c-e686-481b-b9cb-29dd3eb01861n-/JYPxA39Uh5TLH3MbocFFw@public.gmane.org>
@ 2022-01-24 18:39   ` John MacFarlane
  2022-02-12 18:29     ` Richard Huntsinger
  0 siblings, 1 reply; 3+ messages in thread
From: John MacFarlane @ 2022-01-24 18:39 UTC (permalink / raw)
  To: Richard Huntsinger, pandoc-discuss

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.


^ permalink raw reply	[flat|nested] 3+ messages in thread
* Re: Jupyter (.ipynb) to Word (docx.) incorrect results
  2022-01-24 18:39   ` Jupyter (.ipynb) to Word (docx.) incorrect results John MacFarlane
@ 2022-02-12 18:29     ` Richard Huntsinger
       [not found]       ` <a9a04a8c-3bb6-4013-b6e7-ffba7aac3700n-/JYPxA39Uh5TLH3MbocFFw@public.gmane.org>
  0 siblings, 1 reply; 3+ messages in thread
From: Richard Huntsinger @ 2022-02-12 18:29 UTC (permalink / raw)
  To: pandoc-discuss


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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=
mail to pandoc-discuss+unsubscribe@googlegroups.com.
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pandoc-discuss/a9a04a8c-3bb6-4013-b6e7-ffba7aac3700n%40googlegroups.com.

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<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>

-- <br />
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/msgid/pandoc-discuss/a9a04a8c-3bb6-4013-b6e7-ffba7aac3700n%40googlegroups.=
com</a>.<br />

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


h1, h2, h3, h4, h5 {
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 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 {
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 padding: 10px 0px 10px 0px;
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h2 {
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h3 {
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 font-size: 110%;
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}

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

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



 table {
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  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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ct.defineProperty(t.prototype,"options",{get:function(){return this.configu=
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totype,"itemFactory",{get:function(){return this.configuration.itemFactory}=
,enumerable:!1,configurable:!0}),Object.defineProperty(t.prototype,"tags",{=
get:function(){return this.configuration.tags},enumerable:!1,configurable:!=
0}),Object.defineProperty(t.prototype,"string",{get:function(){return this.=
_string},set:function(t){this._string=3Dt},enumerable:!1,configurable:!0}),=
t.prototype.parse=3Dfunction(t,e){return this.configuration.handlers.get(t)=
.parse(e)},t.prototype.lookup=3Dfunction(t,e){return this.configuration.han=
dlers.get(t).lookup(e)},t.prototype.contains=3Dfunction(t,e){return this.co=
nfiguration.handlers.get(t).contains(e)},t.prototype.toString=3Dfunction(){=
var t,e,r=3D"";try{for(var o=3Dn(Array.from(this.configuration.handlers.key=
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""=
,p=3D[];if(i||(l=3Dt.GetBrackets("\\begin{"+c+"}")),(a=3Dt.GetArgument("\\b=
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=
 must me a positive integer","\\begin{"+r.getName()+"}");var a=3Do?"crl":"r=
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(=
),v=3Dt.create("node","mspace",[],{height:".75em"});m=3Dt.create("node","mp=
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,=
"__esModule",{value:!0});var n=3Dr(9140),o=3Dr(5450),i=3Dr(7819);new n.Envi=
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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getProperty("minw"),stretchy:!0},d=3D{minsize:u.getProperty("minh"),stretch=
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e("token","mo",h,"=3D");else{var m=3D{">":"\u2192","<":"\u2190",V:"\u2193",=
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t(v,t.stack.env,t.configuration).mml();a.default.setChild(c,c.under,t.creat=
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ion e(){return null!=3D=3Dt&&t.apply(this,arguments)||this}return o(e,t),Ob=
ject.defineProperty(e.prototype,"kind",{get:function(){return"nonscript"},e=
numerable:!1,configurable:!0}),e.prototype.checkItem=3Dfunction(t){if(t.isK=
ind("mml")&&1=3D=3D=3Dt.Size()){var e=3Dt.First;if(e.isKind("mstyle")&&e.no=
tParent&&(e=3Df.default.getChildren(f.default.getChildren(e)[0])[0]),e.isKi=
nd("mspace")){if(e!=3D=3Dt.First){var r=3Dthis.create("node","mrow",[t.Pop(=
)]);t.Push(r)}this.factory.configuration.addNode("nonscript",t.First)}}retu=
rn[[t],!0]},e}(h.BaseItem);e.NonscriptItem=3Dk;var I=3Dfunction(t){function=
 e(){return null!=3D=3Dt&&t.apply(this,arguments)||this}return o(e,t),Objec=
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"=
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").setProperties({barmax:a,barcount:0,open:r,close:n,stretchy:o,single:l}))=
},a.Bar=3Dfunction(t,e){var r=3D"|"=3D=3D=3De?"|":"\u2225",n=3Dt.stack.Top(=
);if("braket"!=3D=3Dn.kind||n.getProperty("barcount")>=3Dn.getProperty("bar=
max")){var i=3Dt.create("token","mo",{texClass:o.TEXCLASS.ORD,stretchy:!1},=
r);t.Push(i)}else{if("|"=3D=3D=3Dr&&"|"=3D=3D=3Dt.GetNext()&&(t.i++,r=3D"\u=
2225"),n.getProperty("stretchy")){var a=3Dt.create("node","TeXAtom",[],{tex=
Class:o.TEXCLASS.CLOSE});t.Push(a),n.setProperty("barcount",n.getProperty("=
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h(a),a=3Dt.create("node","TeXAtom",[],{texClass:o.TEXCLASS.OPEN}),t.Push(a)=
}else{var s=3Dt.create("token","mo",{stretchy:!1,braketbar:!0},r);t.Push(s)=
}}},e.default=3Da},9499:function(t,e,r){var n;Object.defineProperty(e,"__es=
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=
oofs-environments"]},items:(n=3D{},n[i.ProofTreeItem.prototype.kind]=3Di.Pr=
oofTreeItem,n),preprocessors:[[a.saveDocument,1]],postprocessors:[[a.clearD=
ocument,3],[a.makeBsprAttributes,2],[a.balanceRules,1]]})},3980:function(t,=
e,r){var n,o=3Dthis&&this.__extends||(n=3Dfunction(t,e){return(n=3DObject.s=
etPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=3D=
e}||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=3D=
e)throw new TypeError("Class extends value "+String(e)+" is not a construct=
or 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.defineP=
roperty(e,"__esModule",{value:!0}),e.ProofTreeItem=3Dvoid 0;var i=3Dr(3971)=
,a=3Dr(8292),s=3Dr(9497),l=3Dr(1933),c=3Dfunction(t){function e(){var e=3Dn=
ull!=3D=3Dt&&t.apply(this,arguments)||this;return e.leftLabel=3Dnull,e.rigt=
hLabel=3Dnull,e.innerStack=3Dnew s.default(e.factory,{},!0),e}return o(e,t)=
,Object.defineProperty(e.prototype,"kind",{get:function(){return"proofTree"=
},enumerable:!1,configurable:!0}),e.prototype.checkItem=3Dfunction(t){if(t.=
isKind("end")&&"prooftree"=3D=3D=3Dt.getName()){var e=3Dthis.toMml();return=
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ind("stop"))throw new i.default("EnvMissingEnd","Missing \\end{%1}",this.ge=
tName());return this.innerStack.Push(t),a.BaseItem.fail},e.prototype.toMml=
=3Dfunction(){var e=3Dt.prototype.toMml.call(this),r=3Dthis.innerStack.Top(=
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y.create("stop"));var n=3Dthis.innerStack.Top().toMml();return this.create(=
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t,e,r){Object.defineProperty(e,"__esModule",{value:!0});var n=3Dr(4934),o=
=3Dr(5450),i=3Dr(9140);new i.CommandMap("Bussproofs-macros",{AxiomC:"Axiom"=
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ce",3],QuaternaryInfC:["Inference",4],QuinaryInfC:["Inference",5],RightLabe=
l:["Label","right"],LeftLabel:["Label","left"],AXC:"Axiom",UIC:["Inference"=
,1],BIC:["Inference",2],TIC:["Inference",3],RL:["Label","right"],LL:["Label=
","left"],noLine:["SetLine","none",!1],singleLine:["SetLine","solid",!1],so=
lidLine:["SetLine","solid",!1],dashedLine:["SetLine","dashed",!1],alwaysNoL=
ine:["SetLine","none",!0],alwaysSingleLine:["SetLine","solid",!0],alwaysSol=
idLine:["SetLine","solid",!0],alwaysDashedLine:["SetLine","dashed",!0],root=
AtTop:["RootAtTop",!0],alwaysRootAtTop:["RootAtTop",!0],rootAtBottom:["Root=
AtTop",!1],alwaysRootAtBottom:["RootAtTop",!1],fCenter:"FCenter",Axiom:"Axi=
omF",UnaryInf:["InferenceF",1],BinaryInf:["InferenceF",2],TrinaryInf:["Infe=
renceF",3],QuaternaryInf:["InferenceF",4],QuinaryInf:["InferenceF",5]},n.de=
fault),new i.EnvironmentMap("Bussproofs-environments",o.default.environment=
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=3Dthis&&this.__read||function(t,e){var r=3D"function"=3D=3Dtypeof Symbol&&=
t[Symbol.iterator];if(!r)return t;var n,o,i=3Dr.call(t),a=3D[];try{for(;(vo=
id 0=3D=3D=3De||e-- >0)&&!(n=3Di.next()).done;)a.push(n.value)}catch(t){o=
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ar r=3D0,n=3De.length,o=3Dt.length;r<n;r++,o++)t[o]=3De[r];return t};Object=
.defineProperty(e,"__esModule",{value:!0});var i=3Dr(3971),a=3Dr(8417),s=3D=
r(1130),l=3Dr(1933),c=3D{Prooftree:function(t,e){return t.Push(e),t.itemFac=
tory.create("proofTree").setProperties({name:e.getName(),line:"solid",curre=
ntLine:"solid",rootAtTop:!1})},Axiom:function(t,e){var r=3Dt.stack.Top();if=
("proofTree"!=3D=3Dr.kind)throw new i.default("IllegalProofCommand","Proof =
commands only allowed in prooftree environment.");var n=3Du(t,t.GetArgument=
(e));l.setProperty(n,"axiom",!0),r.Push(n)}},u=3Dfunction(t,e){var r=3Ds.de=
fault.internalMath(t,s.default.trimSpaces(e),0);if(!r[0].childNodes[0].chil=
dNodes.length)return t.create("node","mrow",[]);var i=3Dt.create("node","ms=
pace",[],{width:".5ex"}),a=3Dt.create("node","mspace",[],{width:".5ex"});re=
turn t.create("node","mrow",o(o([i],n(r)),[a]))};function p(t,e,r,n,o,i,a){=
var s,c,u,p,f=3Dt.create("node","mtr",[t.create("node","mtd",[e],{})],{}),h=
=3Dt.create("node","mtr",[t.create("node","mtd",r,{})],{}),d=3Dt.create("no=
de","mtable",a?[h,f]:[f,h],{align:"top 2",rowlines:i,framespacing:"0 0"});i=
f(l.setProperty(d,"inferenceRule",a?"up":"down"),n&&(s=3Dt.create("node","m=
padded",[n],{height:"+.5em",width:"+.5em",voffset:"-.15em"}),l.setProperty(=
s,"prooflabel","left")),o&&(c=3Dt.create("node","mpadded",[o],{height:"+.5e=
m",width:"+.5em",voffset:"-.15em"}),l.setProperty(c,"prooflabel","right")),=
n&&o)u=3D[s,d,c],p=3D"both";else if(n)u=3D[s,d],p=3D"left";else{if(!o)retur=
n d;u=3D[d,c],p=3D"right"}return d=3Dt.create("node","mrow",u),l.setPropert=
y(d,"labelledRule",p),d}function f(t,e){if("$"!=3D=3Dt.GetNext())throw new =
i.default("IllegalUseOfCommand","Use of %1 does not match it's definition."=
,e);t.i++;var r=3Dt.GetUpTo(e,"$");if(-1=3D=3D=3Dr.indexOf("\\fCenter"))thr=
ow new i.default("IllegalUseOfCommand","Missing \\fCenter in %1.",e);var o=
=3Dn(r.split("\\fCenter"),2),s=3Do[0],c=3Do[1],u=3Dnew a.default(s,t.stack.=
env,t.configuration).mml(),p=3Dnew a.default(c,t.stack.env,t.configuration)=
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=3Dt.create("node","mtd",[u],{}),d=3Dt.create("node","mtd",[f],{}),m=3Dt.cr=
eate("node","mtd",[p],{}),y=3Dt.create("node","mtr",[h,d,m],{}),v=3Dt.creat=
e("node","mtable",[y],{columnspacing:".5ex",columnalign:"center 2"});return=
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erence=3Dfunction(t,e,r){var n=3Dt.stack.Top();if("proofTree"!=3D=3Dn.kind)=
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=
=3Dr||n.Peek()[0].childNodes.length?r:0,s=3D[];do{s.length&&s.unshift(t.cre=
ate("node","mtd",[],{})),s.unshift(t.create("node","mtd",[n.Pop()],{rowalig=
n:o?"top":"bottom"})),r--}while(r>0);var c=3Dt.create("node","mtr",s,{}),f=
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(e)),d=3Dn.getProperty("currentLine");d!=3D=3Dn.getProperty("line")&&n.setP=
roperty("currentLine",n.getProperty("line"));var m=3Dp(t,f,[h],n.getPropert=
y("left"),n.getProperty("right"),d,o);n.setProperty("left",null),n.setPrope=
rty("right",null),l.setProperty(m,"inference",a),t.configuration.addNode("i=
nference",m),n.Push(m)},c.Label=3Dfunction(t,e,r){var n=3Dt.stack.Top();if(=
"proofTree"!=3D=3Dn.kind)throw new i.default("IllegalProofCommand","Proof c=
ommands only allowed in prooftree environment.");var o=3Ds.default.internal=
Math(t,t.GetArgument(e),0),a=3Do.length>1?t.create("node","mrow",o,{}):o[0]=
;n.setProperty(r,a)},c.SetLine=3Dfunction(t,e,r,n){var o=3Dt.stack.Top();if=
("proofTree"!=3D=3Do.kind)throw new i.default("IllegalProofCommand","Proof =
commands only allowed in prooftree environment.");o.setProperty("currentLin=
e",r),n&&o.setProperty("line",r)},c.RootAtTop=3Dfunction(t,e,r){var n=3Dt.s=
tack.Top();if("proofTree"!=3D=3Dn.kind)throw new i.default("IllegalProofCom=
mand","Proof commands only allowed in prooftree environment.");n.setPropert=
y("rootAtTop",r)},c.AxiomF=3Dfunction(t,e){var r=3Dt.stack.Top();if("proofT=
ree"!=3D=3Dr.kind)throw new i.default("IllegalProofCommand","Proof commands=
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xiom",!0),r.Push(n)},c.FCenter=3Dfunction(t,e){},c.InferenceF=3Dfunction(t,=
e,r){var n=3Dt.stack.Top();if("proofTree"!=3D=3Dn.kind)throw new i.default(=
"IllegalProofCommand","Proof commands only allowed in prooftree environment=
.");if(n.Size()<r)throw new i.default("BadProofTree","Proof tree badly spec=
ified.");var o=3Dn.getProperty("rootAtTop"),a=3D1!=3D=3Dr||n.Peek()[0].chil=
dNodes.length?r:0,s=3D[];do{s.length&&s.unshift(t.create("node","mtd",[],{}=
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r--}while(r>0);var c=3Dt.create("node","mtr",s,{}),u=3Dt.create("node","mta=
ble",[c],{framespacing:"0 0"}),h=3Df(t,e),d=3Dn.getProperty("currentLine");=
d!=3D=3Dn.getProperty("line")&&n.setProperty("currentLine",n.getProperty("l=
ine"));var m=3Dp(t,u,[h],n.getProperty("left"),n.getProperty("right"),d,o);=
n.setProperty("left",null),n.setProperty("right",null),l.setProperty(m,"inf=
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,1933:function(t,e,r){var n,o=3Dthis&&this.__read||function(t,e){var r=3D"f=
unction"=3D=3Dtypeof Symbol&&t[Symbol.iterator];if(!r)return t;var n,o,i=3D=
r.call(t),a=3D[];try{for(;(void 0=3D=3D=3De||e-- >0)&&!(n=3Di.next()).done;=
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rn)&&r.call(i)}finally{if(o)throw o.error}}return a},i=3Dthis&&this.__value=
s||function(t){var e=3D"function"=3D=3Dtypeof Symbol&&Symbol.iterator,r=3De=
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rn{next:function(){return t&&n>=3Dt.length&&(t=3Dvoid 0),{value:t&&t[n++],d=
one:!t}}};throw new TypeError(e?"Object is not iterable.":"Symbol.iterator =
is not defined.")};Object.defineProperty(e,"__esModule",{value:!0}),e.clear=
Document=3De.saveDocument=3De.makeBsprAttributes=3De.removeProperty=3De.get=
Property=3De.setProperty=3De.balanceRules=3Dvoid 0;var a=3Dr(1256),s=3Dr(11=
30),l=3Dnull,c=3Dnull,u=3Dfunction(t){return c.root=3Dt,l.outputJax.getBBox=
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f(a.default.isType(t,"text"))return null;a.default.isType(t,"mrow")?(t=3Dt.=
childNodes[0],e=3D0):(t=3Dt.parent.childNodes[e],e++)}return t},f=3Dfunctio=
n(t,e){return t.childNodes["up"=3D=3D=3De?1:0].childNodes[0].childNodes[0].=
childNodes[0].childNodes[0]},h=3Dfunction(t,e){return t.childNodes[e].child=
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rn h(t,t.childNodes.length-1)},y=3Dfunction(t,e){return t.childNodes["up"=
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for(;t&&!a.default.isType(t,"mtd");)t=3Dt.parent;return t},g=3Dfunction(t){=
return t.parent.childNodes[t.parent.childNodes.indexOf(t)+1]},b=3Dfunction(=
t){for(;t&&null=3D=3De.getProperty(t,"inference");)t=3Dt.parent;return t},x=
=3Dfunction(t,e,r){void 0=3D=3D=3Dr&&(r=3D!1);var n=3D0;if(t=3D=3D=3De)retu=
rn n;if(t!=3D=3De.parent){var o=3Dt.childNodes,i=3Dr?o.length-1:0;a.default=
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),n},M=3Dfunction(t,r){void 0=3D=3D=3Dr&&(r=3D!1);var n=3Dp(t),o=3Dy(n,e.ge=
tProperty(n,"inferenceRule"));return x(t,n,r)+(u(n)-u(o))/2},O=3Dfunction(t=
,r,n,o){if(void 0=3D=3D=3Do&&(o=3D!1),e.getProperty(r,"inferenceRule")||e.g=
etProperty(r,"labelledRule")){var i=3Dt.nodeFactory.create("node","mrow");r=
.parent.replaceChild(i,r),i.setChildren([r]),S(r,i),r=3Di}var l=3Do?r.child=
Nodes.length-1:0,c=3Dr.childNodes[l];a.default.isType(c,"mspace")?a.default=
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ute(c,"width"))+n)):(c=3Dt.nodeFactory.create("node","mspace",[],{width:s.d=
efault.Em(n)}),o?r.appendChild(c):(c.parent=3Dr,r.childNodes.unshift(c)))},=
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.=
removeProperty(t,n))}))},_=3Dfunction(t,r,n,o,i){var a=3Dt.nodeFactory.crea=
te("node","mspace",[],{width:s.default.Em(i)});if("left"=3D=3D=3Do){var l=
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r.childNodes[n].appendChild(a);e.setProperty(r.parent,"sequentAdjust_"+o,i)=
},C=3Dfunction(t,r){for(var n=3Dr.pop();r.length;){var i=3Dr.pop(),a=3Do(w(=
n,i),2),s=3Da[0],l=3Da[1];e.getProperty(n.parent,"axiom")&&(_(t,s<0?n:i,0,"=
left",Math.abs(s)),_(t,l<0?n:i,2,"right",Math.abs(l))),n=3Di}},w=3Dfunction=
(t,e){var r=3Du(t.childNodes[2]),n=3Du(e.childNodes[2]);return[u(t.childNod=
es[0])-u(e.childNodes[0]),r-n]};e.balanceRules=3Dfunction(t){var r,n;c=3Dne=
w t.document.options.MathItem("",null,t.math.display);var o=3Dt.data;!funct=
ion(t){var r=3Dt.nodeLists.sequent;if(r)for(var n=3Dr.length-1,o=3Dvoid 0;o=
=3Dr[n];n--)if(e.getProperty(o,"sequentProcessed"))e.removeProperty(o,"sequ=
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&(o=3Dl.childNodes[0],i.push(o),e.setProperty(o,"sequentProcessed",!0)),a=
=3Ds}C(t,i)}}}(o);var a=3Do.nodeLists.inference||[];try{for(var s=3Di(a),l=
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f"),S=3Dp(u),_=3Df(S,e.getProperty(S,"inferenceRule")),w=3Dd(_);if(e.getPro=
perty(w,"inference")){var E=3DM(w);if(E){O(o,w,-E);var A=3Dx(u,S,!1);O(o,u,=
E-A)}}var T=3Dm(_);if(null!=3De.getProperty(T,"inference")){var P=3DM(T,!0)=
;O(o,T,-P,!0);var L=3Dx(u,S,!0),k=3De.getProperty(u,"maxAdjust");null!=3Dk&=
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ar j=3Do.nodeFactory.create("node","mspace",[],{width:P-L+"em"});N.appendCh=
ild(j),u.removeProperty("maxAdjust")}else{var R=3Db(I);R&&(P=3De.getPropert=
y(R,"maxAdjust")?Math.max(e.getProperty(R,"maxAdjust"),P):P,e.setProperty(R=
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tch(t){r=3D{error:t}}finally{try{l&&!l.done&&(n=3Ds.return)&&n.call(s)}fina=
lly{if(r)throw r.error}}};var E=3D"bspr_",A=3D((n=3D{}).bspr_maxAdjust=3D!0=
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operty=3Dfunction(t,e){return a.default.getProperty(t,E+e)};e.removePropert=
y=3Dfunction(t,e){t.removeProperty(E+e)};e.makeBsprAttributes=3Dfunction(t)=
{t.data.root.walkTree((function(t,e){var r=3D[];t.getPropertyNames().forEac=
h((function(e){!A[e]&&e.match(RegExp("^bspr_"))&&r.push(e+":"+t.getProperty=
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aveDocument=3Dfunction(t){if(!("getBBox"in(l=3Dt.document).outputJax))throw=
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thod")};e.clearDocument=3Dfunction(t){l=3Dnull}},8963:function(t,e,r){Objec=
t.defineProperty(e,"__esModule",{value:!0}),e.CancelConfiguration=3De.Cance=
lMethods=3Dvoid 0;var n=3Dr(9899),o=3Dr(8317),i=3Dr(9140),a=3Dr(1130),s=3Dr=
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CLOSE_OPTIONS);i.notation=3Dr,t.Push(t.create("node","menclose",[o],i))},e.=
CancelMethods.CancelTo=3Dfunction(t,e){var r=3Dt.GetBrackets(e,""),n=3Dt.Pa=
rseArg(e),i=3Dt.ParseArg(e),l=3Da.default.keyvalOptions(r,s.ENCLOSE_OPTIONS=
);l.notation=3D[o.TexConstant.Notation.UPDIAGONALSTRIKE,o.TexConstant.Notat=
ion.UPDIAGONALARROW,o.TexConstant.Notation.NORTHEASTARROW].join(" "),n=3Dt.=
create("node","mpadded",[n],{depth:"-.1em",height:"+.1em",voffset:".1em"}),=
t.Push(t.create("node","msup",[t.create("node","menclose",[i],l),n]))},new =
i.CommandMap("cancel",{cancel:["Cancel",o.TexConstant.Notation.UPDIAGONALST=
RIKE],bcancel:["Cancel",o.TexConstant.Notation.DOWNDIAGONALSTRIKE],xcancel:=
["Cancel",o.TexConstant.Notation.UPDIAGONALSTRIKE+" "+o.TexConstant.Notatio=
n.DOWNDIAGONALSTRIKE],cancelto:"CancelTo"},e.CancelMethods),e.CancelConfigu=
ration=3Dn.Configuration.create("cancel",{handler:{macro:["cancel"]}})},375=
2:function(t,e,r){var n,o,i=3Dthis&&this.__extends||(n=3Dfunction(t,e){retu=
rn(n=3DObject.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e)=
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otype=3Dnull=3D=3D=3De?Object.create(e):(r.prototype=3De.prototype,new r)})=
;Object.defineProperty(e,"__esModule",{value:!0}),e.CasesConfiguration=3De.=
CasesMethods=3De.CasesTags=3De.CasesBeginItem=3Dvoid 0;var a=3Dr(9899),s=3D=
r(9140),l=3Dr(1130),c=3Dr(7693),u=3Dr(3971),p=3Dr(1181),f=3Dr(8021),h=3Dr(6=
471),d=3Dfunction(t){function e(){return null!=3D=3Dt&&t.apply(this,argumen=
ts)||this}return i(e,t),Object.defineProperty(e.prototype,"kind",{get:funct=
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kItem=3Dfunction(e){return e.isKind("end")&&e.getName()=3D=3D=3Dthis.getNam=
e()&&this.getProperty("end")?(this.setProperty("end",!1),[[],!0]):t.prototy=
pe.checkItem.call(this,e)},e}(p.BeginItem);e.CasesBeginItem=3Dd;var m=3Dfun=
ction(t){function e(){var e=3Dnull!=3D=3Dt&&t.apply(this,arguments)||this;r=
eturn e.subcounter=3D0,e}return i(e,t),e.prototype.start=3Dfunction(e,r,n){=
this.subcounter=3D0,t.prototype.start.call(this,e,r,n)},e.prototype.autoTag=
=3Dfunction(){null=3D=3Dthis.currentTag.tag&&("subnumcases"=3D=3D=3Dthis.cu=
rrentTag.env?(0=3D=3D=3Dthis.subcounter&&this.counter++,this.subcounter++,t=
his.tag(this.formatNumber(this.counter,this.subcounter),!1)):(0!=3D=3Dthis.=
subcounter&&"numcases-left"=3D=3D=3Dthis.currentTag.env||this.counter++,thi=
s.tag(this.formatNumber(this.counter),!1)))},e.prototype.formatNumber=3Dfun=
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=
e",e.getName()));var r=3Dt.stack.Top(),n=3Dr.Last,o=3Dl.default.copyNode(n,=
t),i=3Dr.getProperty("left");return h.EmpheqUtil.left(n,o,i+"\\empheqlbrace=
\\,",t,"numcases-left"),t.Push(t.itemFactory.create("end").setProperty("nam=
e",e.getName())),null}i=3Dt.GetArgument("\\begin{"+e.getName()+"}");e.setPr=
operty("left",i);var a=3Dc.default.EqnArray(t,e,!0,!0,"ll");return a.arrayd=
ef.displaystyle=3D!1,a.arraydef.rowspacing=3D".2em",a.setProperty("numCases=
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ses"))return c.default.Entry(t,e);t.Push(t.itemFactory.create("cell").setPr=
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place(/^\s*/,"");t.PushAll(l.default.internalMath(t,p,0)),t.i=3Do}},new s.E=
nvironmentMap("cases-env",h.EmpheqUtil.environment,{numcases:["NumCases","c=
ases"],subnumcases:["NumCases","cases"]},e.CasesMethods),new s.MacroMap("ca=
ses-macros",{"&":"Entry"},e.CasesMethods),e.CasesConfiguration=3Da.Configur=
ation.create("cases",{handler:{environment:["cases-env"],character:["cases-=
macros"]},items:(o=3D{},o[d.prototype.kind]=3Dd,o),tags:{cases:m}})},8227:f=
unction(t,e,r){var n=3Dthis&&this.__values||function(t){var e=3D"function"=
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?"Object is not iterable.":"Symbol.iterator is not defined.")};Object.defin=
eProperty(e,"__esModule",{value:!0}),e.CenternotConfiguration=3De.filterCen=
terOver=3Dvoid 0;var o=3Dr(9899),i=3Dr(8417),a=3Dr(1256),s=3Dr(9140),l=3Dr(=
7693);function c(t){var e,r,o=3Dt.data;try{for(var i=3Dn(o.getList("centerO=
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{error:t}}finally{try{s&&!s.done&&(r=3Di.return)&&r.call(i)}finally{if(e)th=
row e.error}}}new s.CommandMap("centernot",{centerOver:"CenterOver",centern=
ot:["Macro","\\centerOver{#1}{{\u29f8}}",1]},{CenterOver:function(t,e){var =
r=3D"{"+t.GetArgument(e)+"}",n=3Dt.ParseArg(e),o=3Dnew i.default(r,t.stack.=
env,t.configuration).mml(),a=3Dt.create("node","TeXAtom",[new i.default(r,t=
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ration=3Do.Configuration.create("centernot",{handler:{macro:["centernot"]},=
postprocessors:[c]})},5860:function(t,e,r){Object.defineProperty(e,"__esMod=
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i=3Dr(2784),a=3Dr(4207);new n.CommandMap("color",{color:"Color",textcolor:"=
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ox"},i.ColorMethods);e.ColorConfiguration=3Do.Configuration.create("color",=
{handler:{macro:["color"]},options:{color:{padding:"5px",borderWidth:"2px"}=
},config:function(t,e){e.parseOptions.packageData.set("color",{model:new a.=
ColorModel})}})},7960:function(t,e){Object.defineProperty(e,"__esModule",{v=
alue:!0}),e.COLORS=3Dvoid 0,e.COLORS=3Dnew Map([["Apricot","#FBB982"],["Aqu=
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321C"],["Brown","#792500"],["BurntOrange","#F7921D"],["CadetBlue","#74729A"=
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B0E4"],["Cyan","#00AEEF"],["Dandelion","#FDBC42"],["DarkOrchid","#A4538A"],=
["Emerald","#00A99D"],["ForestGreen","#009B55"],["Fuchsia","#8C368C"],["Gol=
denrod","#FFDF42"],["Gray","#949698"],["Green","#00A64F"],["GreenYellow","#=
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C73E"],["Magenta","#EC008C"],["Mahogany","#A9341F"],["Maroon","#AF3235"],["=
Melon","#F89E7B"],["MidnightBlue","#006795"],["Mulberry","#A93C93"],["NavyB=
lue","#006EB8"],["OliveGreen","#3C8031"],["Orange","#F58137"],["OrangeRed",=
"#ED135A"],["Orchid","#AF72B0"],["Peach","#F7965A"],["Periwinkle","#7977B8"=
],["PineGreen","#008B72"],["Plum","#92268F"],["ProcessBlue","#00B0F0"],["Pu=
rple","#99479B"],["RawSienna","#974006"],["Red","#ED1B23"],["RedOrange","#F=
26035"],["RedViolet","#A1246B"],["Rhodamine","#EF559F"],["RoyalBlue","#0071=
BC"],["RoyalPurple","#613F99"],["RubineRed","#ED017D"],["Salmon","#F69289"]=
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reen","#C6DC67"],["Tan","#DA9D76"],["TealBlue","#00AEB3"],["Thistle","#D883=
B7"],["Turquoise","#00B4CE"],["Violet","#58429B"],["VioletRed","#EF58A0"],[=
"White","#FFFFFF"],["WildStrawberry","#EE2967"],["Yellow","#FFF200"],["Yell=
owGreen","#98CC70"],["YellowOrange","#FAA21A"]])},2784:function(t,e,r){Obje=
ct.defineProperty(e,"__esModule",{value:!0}),e.ColorMethods=3Dvoid 0;var n=
=3Dr(1256),o=3Dr(1130);function i(t){var e=3D"+"+t,r=3Dt.replace(/^.*?([a-z=
]*)$/,"$1");return{width:"+"+2*parseFloat(e)+r,height:e,depth:e,lspace:t}}e=
.ColorMethods=3D{},e.ColorMethods.Color=3Dfunction(t,e){var r=3Dt.GetBracke=
ts(e,""),n=3Dt.GetArgument(e),o=3Dt.configuration.packageData.get("color").=
model.getColor(r,n),i=3Dt.itemFactory.create("style").setProperties({styles=
:{mathcolor:o}});t.stack.env.color=3Do,t.Push(i)},e.ColorMethods.TextColor=
=3Dfunction(t,e){var r=3Dt.GetBrackets(e,""),n=3Dt.GetArgument(e),o=3Dt.con=
figuration.packageData.get("color").model.getColor(r,n),i=3Dt.stack.env.col=
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=
),n=3Dt.GetArgument(e),o=3Dt.GetArgument(e);t.configuration.packageData.get=
("color").model.defineColor(n,r,o)},e.ColorMethods.ColorBox=3Dfunction(t,e)=
{var r=3Dt.GetArgument(e),a=3Do.default.internalMath(t,t.GetArgument(e)),s=
=3Dt.configuration.packageData.get("color").model,l=3Dt.create("node","mpad=
ded",a,{mathbackground:s.getColor("named",r)});n.default.setProperties(l,i(=
t.options.color.padding)),t.Push(l)},e.ColorMethods.FColorBox=3Dfunction(t,=
e){var r=3Dt.GetArgument(e),a=3Dt.GetArgument(e),s=3Do.default.internalMath=
(t,t.GetArgument(e)),l=3Dt.options.color,c=3Dt.configuration.packageData.ge=
t("color").model,u=3Dt.create("node","mpadded",s,{mathbackground:c.getColor=
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);n.default.setProperties(u,i(l.padding)),t.Push(u)}},4207:function(t,e,r){=
var n=3Dthis&&this.__values||function(t){var e=3D"function"=3D=3Dtypeof Sym=
bol&&Symbol.iterator,r=3De&&t[e],n=3D0;if(r)return r.call(t);if(t&&"number"=
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void 0),{value:t&&t[n++],done:!t}}};throw new TypeError(e?"Object is not it=
erable.":"Symbol.iterator is not defined.")};Object.defineProperty(e,"__esM=
odule",{value:!0}),e.ColorModel=3Dvoid 0;var o=3Dr(3971),i=3Dr(7960),a=3Dne=
w Map,s=3Dfunction(){function t(){this.userColors=3Dnew Map}return t.protot=
ype.normalizeColor=3Dfunction(t,e){if(!t||"named"=3D=3D=3Dt)return e;if(a.h=
as(t))return a.get(t)(e);throw new o.default("UndefinedColorModel","Color m=
odel '%1' not defined",t)},t.prototype.getColor=3Dfunction(t,e){return t&&"=
named"!=3D=3Dt?this.normalizeColor(t,e):this.getColorByName(e)},t.prototype=
.getColorByName=3Dfunction(t){return this.userColors.has(t)?this.userColors=
.get(t):i.COLORS.has(t)?i.COLORS.get(t):t},t.prototype.defineColor=3Dfuncti=
on(t,e,r){var n=3Dthis.normalizeColor(t,r);this.userColors.set(e,n)},t}();e=
.ColorModel=3Ds,a.set("rgb",(function(t){var e,r,i=3Dt.trim().split(/\s*,\s=
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es for the %1 model require 3 numbers","rgb");try{for(var s=3Dn(i),l=3Ds.ne=
xt();!l.done;l=3Ds.next()){var c=3Dl.value;if(!c.match(/^(\d+(\.\d*)?|\.\d+=
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ar u=3DparseFloat(c);if(u<0||u>1)throw new o.default("ModelArg2","Color val=
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.floor(255*u).toString(16);p.length<2&&(p=3D"0"+p),a+=3Dp}}catch(t){e=3D{er=
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\s*,\s*/),a=3D"#";if(3!=3D=3Di.length)throw new o.default("ModelArg1","Colo=
r values for the %1 model require 3 numbers","RGB");try{for(var s=3Dn(i),l=
=3Ds.next();!l.done;l=3Ds.next()){var c=3Dl.value;if(!c.match(/^\d+$/))thro=
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 =
between %2 and %3","RGB","0","255");var p=3Du.toString(16);p.length<2&&(p=
=3D"0"+p),a+=3Dp}}catch(t){e=3D{error:t}}finally{try{l&&!l.done&&(r=3Ds.ret=
urn)&&r.call(s)}finally{if(e)throw e.error}}return a})),a.set("gray",(funct=
ion(t){if(!t.match(/^\s*(\d+(\.\d*)?|\.\d+)\s*$/))throw new o.default("Inva=
lidDecimalNumber","Invalid decimal number");var e=3DparseFloat(t);if(e<0||e=
>1)throw new o.default("ModelArg2","Color values for the %1 model must be b=
etween %2 and %3","gray","0","1");var r=3DMath.floor(255*e).toString(16);re=
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||{=
__proto__:[]}instanceof Array&&function(t,e){t.__proto__=3De}||function(t,e=
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(t,e)},function(t,e){if("function"!=3Dtypeof e&&null!=3D=3De)throw new Type=
Error("Class extends value "+String(e)+" is not a constructor or null");fun=
ction r(){this.constructor=3Dt}n(t,e),t.prototype=3Dnull=3D=3D=3De?Object.c=
reate(e):(r.prototype=3De.prototype,new r)});Object.defineProperty(e,"__esM=
odule",{value:!0}),e.ColortblConfiguration=3De.ColorArrayItem=3Dvoid 0;var =
i=3Dr(1181),a=3Dr(9899),s=3Dr(9140),l=3Dr(3971),c=3Dfunction(t){function e(=
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l:"",row:"",col:[]},e.hasColor=3D!1,e}return o(e,t),e.prototype.EndEntry=3D=
function(){t.prototype.EndEntry.call(this);var e=3Dthis.row[this.row.length=
-1],r=3Dthis.color.cell||this.color.row||this.color.col[this.row.length-1];=
r&&(e.attributes.set("mathbackground",r),this.color.cell=3D"",this.hasColor=
=3D!0)},e.prototype.EndRow=3Dfunction(){t.prototype.EndRow.call(this),this.=
color.row=3D""},e.prototype.createMml=3Dfunction(){var e=3Dt.prototype.crea=
teMml.call(this),r=3De.isKind("mrow")?e.childNodes[1]:e;return r.isKind("me=
nclose")&&(r=3Dr.childNodes[0].childNodes[0]),this.hasColor&&"none"=3D=3D=
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m);e.ColorArrayItem=3Dc,new s.CommandMap("colortbl",{cellcolor:["TableColor=
","cell"],rowcolor:["TableColor","row"],columncolor:["TableColor","col"]},{=
TableColor:function(t,e,r){var n=3Dt.configuration.packageData.get("color")=
.model,o=3Dt.GetBrackets(e,""),i=3Dn.getColor(o,t.GetArgument(e)),a=3Dt.sta=
ck.Top();if(!(a instanceof c))throw new l.default("UnsupportedTableColor","=
Unsupported use of %1",t.currentCS);if("col"=3D=3D=3Dr){if(a.table.length)t=
hrow new l.default("ColumnColorNotTop","%1 must be in the top row",e);a.col=
or.col[a.row.length]=3Di,t.GetBrackets(e,"")&&t.GetBrackets(e,"")}else if(a=
.color[r]=3Di,"row"=3D=3D=3Dr&&(a.Size()||a.row.length))throw new l.default=
("RowColorNotFirst","%1 must be at the beginning of a row",e)}});e.Colortbl=
Configuration=3Da.Configuration.create("colortbl",{handler:{macro:["colortb=
l"]},items:{array:c},priority:10,config:[function(t,e){e.parseOptions.packa=
geData.has("color")||a.ConfigurationHandler.get("color").config(t,e)},10]})=
},6628:function(t,e,r){Object.defineProperty(e,"__esModule",{value:!0}),e.C=
olorConfiguration=3De.ColorV2Methods=3Dvoid 0;var n=3Dr(9140),o=3Dr(9899);e=
.ColorV2Methods=3D{Color:function(t,e){var r=3Dt.GetArgument(e),n=3Dt.stack=
.env.color;t.stack.env.color=3Dr;var o=3Dt.ParseArg(e);n?t.stack.env.color=
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or:r});t.Push(i)}},new n.CommandMap("colorv2",{color:"Color"},e.ColorV2Meth=
ods),e.ColorConfiguration=3Do.Configuration.create("colorv2",{handler:{macr=
o:["colorv2"]}})},8458:function(t,e,r){var n,o=3Dthis&&this.__values||funct=
ion(t){var e=3D"function"=3D=3Dtypeof Symbol&&Symbol.iterator,r=3De&&t[e],n=
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function(){return t&&n>=3Dt.length&&(t=3Dvoid 0),{value:t&&t[n++],done:!t}}=
};throw new TypeError(e?"Object is not iterable.":"Symbol.iterator is not d=
efined.")};Object.defineProperty(e,"__esModule",{value:!0}),e.ConfigMacrosC=
onfiguration=3Dvoid 0;var i=3Dr(9899),a=3Dr(7233),s=3Dr(9140),l=3Dr(5450),c=
=3Dr(8803),u=3Dr(1110),p=3Dr(6793),f=3D"configmacros-map",h=3D"configmacros=
-env-map";e.ConfigMacrosConfiguration=3Di.Configuration.create("configmacro=
s",{init:function(t){new s.CommandMap(f,{},{}),new s.EnvironmentMap(h,l.def=
ault.environment,{},{}),t.append(i.Configuration.local({handler:{macro:[f],=
environment:[h]},priority:3}))},config:function(t,e){!function(t){var e,r,n=
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y{for(var a=3Do(Object.keys(i)),s=3Da.next();!s.done;s=3Da.next()){var l=3D=
s.value,p=3D"string"=3D=3Dtypeof i[l]?[i[l]]:i[l],h=3DArray.isArray(p[2])?n=
ew c.Macro(l,u.default.MacroWithTemplate,p.slice(0,2).concat(p[2])):new c.M=
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n)&&r.call(a)}finally{if(e)throw e.error}}}(e)},items:(n=3D{},n[p.BeginEnvI=
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t(s,t.stack.env,t.configuration).mml(),x=3Dt.create("node","mpadded",[t.cre=
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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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n(t,e,r){var n,o=3Dthis&&this.__extends||(n=3Dfunction(t,e){return(n=3DObje=
ct.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto_=
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"Quantity",qty:"Quantity",pqty:["Quantity","(",")",!0],bqty:["Quantity","["=
,"]",!0],vqty:["Quantity","|","|",!0],Bqty:["Quantity","\\{","\\}",!0],abso=
lutevalue:["Quantity","|","|",!0],abs:["Quantity","|","|",!0],norm:["Quanti=
ty","\\|","\\|",!0],evaluated:"Eval",eval:"Eval",order:["Quantity","(",")",=
!0,"O",i.TexConstant.Variant.CALLIGRAPHIC],commutator:"Commutator",comm:"Co=
mmutator",anticommutator:["Commutator","\\{","\\}"],acomm:["Commutator","\\=
{","\\}"],poissonbracket:["Commutator","\\{","\\}"],pb:["Commutator","\\{",=
"\\}"]},o.default),new n.CharacterMap("Physics-vector-chars",a.default.math=
char0mi,{dotproduct:["\u22c5",{mathvariant:i.TexConstant.Variant.BOLD}],vdo=
t:["\u22c5",{mathvariant:i.TexConstant.Variant.BOLD}],crossproduct:"\xd7",c=
ross:"\xd7",cp:"\xd7",gradientnabla:["\u2207",{mathvariant:i.TexConstant.Va=
riant.BOLD}],real:["\u211c",{mathvariant:i.TexConstant.Variant.NORMAL}],ima=
ginary:["\u2111",{mathvariant:i.TexConstant.Variant.NORMAL}]}),new n.Comman=
dMap("Physics-vector-macros",{vnabla:"Vnabla",vectorbold:"VectorBold",vb:"V=
ectorBold",vectorarrow:["StarMacro",1,"\\vec{\\vb","{#1}}"],va:["StarMacro"=
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abla","(","["],grad:["OperatorApplication","\\vnabla","(","["],divergence:[=
"VectorOperator","\\vnabla\\vdot","(","["],div:["VectorOperator","\\vnabla\=
\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=
pression",acsc:"Expression",sec:"Expression",sech:"Expression",arcsec:"Expr=
ession",asec:"Expression",cot:"Expression",coth:"Expression",arccot:"Expres=
sion",acot:"Expression",exp:["Expression",!1],log:"Expression",ln:"Expressi=
on",det:["Expression",!1],Pr:["Expression",!1],tr:["Expression",!1],trace:[=
"Expression",!1,"tr"],Tr:["Expression",!1],Trace:["Expression",!1,"Tr"],ran=
k:"NamedFn",erf:["Expression",!1],Residue:["Macro","\\mathrm{Res}"],Res:["O=
peratorApplication","\\Residue","(","[","{"],principalvalue:["OperatorAppli=
cation","{\\cal P}"],pv:["OperatorApplication","{\\cal P}"],PV:["OperatorAp=
plication","{\\rm P.V.}"],Re:["OperatorApplication","\\mathrm{Re}","{"],Im:=
["OperatorApplication","\\mathrm{Im}","{"],sine:["NamedFn","sin"],hypsine:[=
"NamedFn","sinh"],arcsine:["NamedFn","arcsin"],asine:["NamedFn","asin"],cos=
ine:["NamedFn","cos"],hypcosine:["NamedFn","cosh"],arccosine:["NamedFn","ar=
ccos"],acosine:["NamedFn","acos"],tangent:["NamedFn","tan"],hyptangent:["Na=
medFn","tanh"],arctangent:["NamedFn","arctan"],atangent:["NamedFn","atan"],=
cosecant:["NamedFn","csc"],hypcosecant:["NamedFn","csch"],arccosecant:["Nam=
edFn","arccsc"],acosecant:["NamedFn","acsc"],secant:["NamedFn","sec"],hypse=
cant:["NamedFn","sech"],arcsecant:["NamedFn","arcsec"],asecant:["NamedFn","=
asec"],cotangent:["NamedFn","cot"],hypcotangent:["NamedFn","coth"],arccotan=
gent:["NamedFn","arccot"],acotangent:["NamedFn","acot"],exponential:["Named=
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=
ise:["Qqtext","otherwise"],qunless:["Qqtext","unless"],qgiven:["Qqtext","gi=
ven"],qusing:["Qqtext","using"],qassume:["Qqtext","assume"],qsince:["Qqtext=
","since"],qlet:["Qqtext","let"],qfor:["Qqtext","for"],qall:["Qqtext","all"=
],qeven:["Qqtext","even"],qodd:["Qqtext","odd"],qinteger:["Qqtext","integer=
"],qand:["Qqtext","and"],qor:["Qqtext","or"],qas:["Qqtext","as"],qin:["Qqte=
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=
ial","\\delta"],var:["Differential","\\delta"],derivative:["Derivative",2,"=
\\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=
ro","\\mqty|#1|",1],smallmatrixquantity:["MatrixQuantity",!0],smqty:["Matri=
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=
tyMatrix",xmatrix:"XMatrix",xmat:"XMatrix",zeromatrix:["Macro","\\xmat{0}{#=
1}{#2}",2],zmat:["Macro","\\xmat{0}{#1}{#2}",2],paulimatrix:"PauliMatrix",p=
mat:"PauliMatrix",diagonalmatrix:"DiagonalMatrix",dmat:"DiagonalMatrix",ant=
idiagonalmatrix:["DiagonalMatrix",!0],admat:["DiagonalMatrix",!0]},o.defaul=
t),new n.EnvironmentMap("Physics-aux-envs",a.default.environment,{smallmatr=
ix:["Array",null,null,null,"c","0.333em",".2em","S",1]},o.default),new n.Ma=
croMap("Physics-characters",{"|":["AutoClose",s.TEXCLASS.ORD],")":"AutoClos=
e","]":"AutoClose"},o.default)},7157:function(t,e,r){var n=3Dthis&&this.__r=
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))),n&&this.adaptor.setStyle(t,"left",this.em(e*(r-1)))},e.prototype.moveAr=
row=3Dfunction(t,e,r){if(r){var n=3Dthis.adaptor.getStyle(t,"transform");th=
is.adaptor.setStyle(t,"transform","translate"+e+"("+this.em(-r)+")"+(n?" "+=
n:""))}},e.prototype.adjustBorder=3Dfunction(t){return this.thickness!=3D=
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function(e){return t.prototype.em.call(this,e)},e.kind=3Du.MmlMenclose.prot=
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der-top":c.SOLID,"transform-origin":"top left"},"mjx-menclose > mjx-ustrike=
":{display:"inline-block",left:0,bottom:0,position:"absolute","border-top":=
c.SOLID,"transform-origin":"bottom left"},"mjx-menclose > mjx-hstrike":{"bo=
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absolute",top:0,bottom:0,right:0,left:0,border:c.SOLID,"border-radius":p.em=
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,"mjx-menclose > mjx-arrow > *":{display:"block",position:"absolute","trans=
form-origin":"bottom","border-left":p.em(c.THICKNESS*c.ARROWX)+" solid","bo=
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height:0,"border-top":p.em(c.THICKNESS)+" solid","border-left":0},"mjx-menc=
lose > mjx-arrow[double] > mjx-aline":{left:p.em(c.THICKNESS*(c.ARROWX-1)),=
height:0},"mjx-menclose > mjx-arrow > mjx-rthead":{transform:"skewX("+h+"ra=
d)",right:0,bottom:"-1px","border-bottom":"1px solid transparent","border-t=
op":p.em(c.THICKNESS*c.ARROWY)+" solid transparent"},"mjx-menclose > mjx-ar=
row > mjx-rbhead":{transform:"skewX(-"+h+"rad)","transform-origin":"top",ri=
ght:0,top:"-1px","border-top":"1px solid transparent","border-bottom":p.em(=
c.THICKNESS*c.ARROWY)+" solid transparent"},"mjx-menclose > mjx-arrow > mjx=
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,"border-right":p.em(c.THICKNESS*c.ARROWX)+" solid","border-bottom":"1px so=
lid transparent","border-top":p.em(c.THICKNESS*c.ARROWY)+" solid transparen=
t"},"mjx-menclose > mjx-arrow > mjx-lbhead":{transform:"skewX("+h+"rad)","t=
ransform-origin":"top",left:0,top:"-1px","border-left":0,"border-right":p.e=
m(c.THICKNESS*c.ARROWX)+" solid","border-top":"1px solid transparent","bord=
er-bottom":p.em(c.THICKNESS*c.ARROWY)+" solid transparent"},"mjx-menclose >=
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p.em(3*c.PADDING),border:p.em(c.THICKNESS)+" solid","border-radius":"50%","=
clip-path":"inset(0 0 0 "+p.em(1.5*c.PADDING)+")","box-sizing":"border-box"=
}},e.notations=3Dnew Map([c.Border("top"),c.Border("right"),c.Border("botto=
m"),c.Border("left"),c.Border2("actuarial","top","right"),c.Border2("madruw=
b","bottom","right"),c.DiagonalStrike("up",1),c.DiagonalStrike("down",-1),[=
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circle",{renderer:c.RenderElement("cbox"),bbox:c.fullBBox}],["phasorangle",=
{renderer:function(t,e){var r=3Dt.getBBox(),n=3Dr.h,o=3Dr.d,i=3Da(t.getArgM=
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t.adaptor.setStyle(e,"border-bottom",t.em(t.thickness)+" solid");var u=3Dt.=
adjustBorder(t.html("mjx-ustrike",{style:{width:t.em(l),transform:"translat=
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w("up"),c.Arrow("down"),c.Arrow("left"),c.Arrow("right"),c.Arrow("updown"),=
c.Arrow("leftright"),c.DiagonalArrow("updiagonal"),c.DiagonalArrow("northea=
st"),c.DiagonalArrow("southeast"),c.DiagonalArrow("northwest"),c.DiagonalAr=
row("southwest"),c.DiagonalArrow("northeastsouthwest"),c.DiagonalArrow("nor=
thwestsoutheast"),["longdiv",{renderer:function(t,e){var r=3Dt.adaptor;r.se=
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t.html("dbox")),o=3Dt.thickness,i=3Dt.padding;o!=3D=3Dc.THICKNESS&&r.setSty=
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return[e+r,e,e,2*e+r/2]}}],["radical",{renderer:function(t,e){t.msqrt.toCHT=
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(function(e){return t.em(-e)})).join(" "))},init:function(t){t.msqrt=3Dt.cr=
eateMsqrt(t.childNodes[0])},bbox:function(t){return t.sqrtTRBL()},renderChi=
ld:!0}]]),e}(l.CommonMencloseMixin(s.CHTMLWrapper));e.CHTMLmenclose=3Dd},22=
75:function(t,e,r){var n,o=3Dthis&&this.__extends||(n=3Dfunction(t,e){retur=
n(n=3DObject.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){=
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ot a constructor or null");function r(){this.constructor=3Dt}n(t,e),t.proto=
type=3Dnull=3D=3D=3De?Object.create(e):(r.prototype=3De.prototype,new r)});=
Object.defineProperty(e,"__esModule",{value:!0}),e.CHTMLmfenced=3Dvoid 0;va=
r i=3Dr(5355),a=3Dr(7555),s=3Dr(5410),l=3Dfunction(t){function e(){return n=
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L=3Dfunction(t){var e=3Dthis.standardCHTMLnode(t);this.mrow.toCHTML(e)},e.k=
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e.CHTMLmfenced=3Dl},9063:function(t,e,r){var n,o=3Dthis&&this.__extends||(n=
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tor=3Dt}n(t,e),t.prototype=3Dnull=3D=3D=3De?Object.create(e):(r.prototype=
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[o]);return t}).apply(this,arguments)};Object.defineProperty(e,"__esModule"=
,{value:!0}),e.CHTMLmfrac=3Dvoid 0;var a=3Dr(5355),s=3Dr(2688),l=3Dr(6850),=
c=3Dfunction(t){function e(){return null!=3D=3Dt&&t.apply(this,arguments)||=
this}return o(e,t),e.prototype.toCHTML=3Dfunction(t){this.standardCHTMLnode=
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linethickness,n=3De.bevelled,o=3Dthis.isDisplay();if(n)this.makeBevelled(o)=
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is.makeFraction(o,i)}},e.prototype.makeFraction=3Dfunction(t,e){var r,n,o=
=3Dthis.node.attributes.getList("numalign","denomalign"),a=3Do.numalign,s=
=3Do.denomalign,l=3Dt?{type:"d"}:{},c=3Dthis.node.getProperty("withDelims")=
?i(i({},l),{delims:"true"}):i({},l),u=3D"center"!=3D=3Da?{align:a}:{},p=3D"=
center"!=3D=3Ds?{align:s}:{},f=3Di({},l),h=3Di({},l),d=3Dthis.font.params;i=
f(.06!=3D=3De){var m=3Dd.axis_height,y=3Dthis.em(e),v=3Dthis.getTUV(t,e),g=
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"border-top":y+" solid",margin:M};var O=3Dthis.em(Math.max(0,b));h.style=3D=
{height:O,"vertical-align":"-"+O},f.style=3D{height:this.em(Math.max(0,x))}=
,c.style=3D{"vertical-align":this.em(m-g)}}this.adaptor.append(this.chtml,t=
his.html("mjx-frac",c,[r=3Dthis.html("mjx-num",u,[this.html("mjx-nstrut",h)=
]),this.html("mjx-dbox",{},[this.html("mjx-dtable",{},[this.html("mjx-line"=
,l),this.html("mjx-row",{},[n=3Dthis.html("mjx-den",p,[this.html("mjx-dstru=
t",f)])])])])])),this.childNodes[0].toCHTML(r),this.childNodes[1].toCHTML(n=
)},e.prototype.makeAtop=3Dfunction(t){var e,r,n=3Dthis.node.attributes.getL=
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ign:a}:{},p=3Dthis.getUVQ(t),f=3Dp.v,h=3Dp.q;c.style=3D{"padding-bottom":th=
is.em(h)},l.style=3D{"vertical-align":this.em(-f)},this.adaptor.append(this=
.chtml,this.html("mjx-frac",l,[e=3Dthis.html("mjx-num",c),r=3Dthis.html("mj=
x-den",u)])),this.childNodes[0].toCHTML(e),this.childNodes[1].toCHTML(r)},e=
.prototype.makeBevelled=3Dfunction(t){var e=3Dthis.adaptor;e.setAttribute(t=
his.chtml,"bevelled","ture");var r=3De.append(this.chtml,this.html("mjx-num=
"));this.childNodes[0].toCHTML(r),this.bevel.toCHTML(this.chtml);var n=3De.=
append(this.chtml,this.html("mjx-den"));this.childNodes[1].toCHTML(n);var o=
=3Dthis.getBevelData(t),i=3Do.u,a=3Do.v,s=3Do.delta,l=3Do.nbox,c=3Do.dbox;i=
&&e.setStyle(r,"verticalAlign",this.em(i/l.scale)),a&&e.setStyle(n,"vertica=
lAlign",this.em(a/c.scale));var u=3Dthis.em(-s/2);e.setStyle(this.bevel.cht=
ml,"marginLeft",u),e.setStyle(this.bevel.chtml,"marginRight",u)},e.kind=3Dl=
.MmlMfrac.prototype.kind,e.styles=3D{"mjx-frac":{display:"inline-block","ve=
rtical-align":"0.17em",padding:"0 .22em"},'mjx-frac[type=3D"d"]':{"vertical=
-align":".04em"},"mjx-frac[delims]":{padding:"0 .1em"},"mjx-frac[atop]":{pa=
dding:"0 .12em"},"mjx-frac[atop][delims]":{padding:"0"},"mjx-dtable":{displ=
ay:"inline-table",width:"100%"},"mjx-dtable > *":{"font-size":"2000%"},"mjx=
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align":"center"},"mjx-den":{display:"block","text-align":"center"},"mjx-mfr=
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right"]':{"text-align":"right"},'mjx-den[align=3D"left"], mjx-num[align=3D"=
left"]':{"text-align":"left"},"mjx-nstrut":{display:"inline-block",height:"=
.054em",width:0,"vertical-align":"-.054em"},'mjx-nstrut[type=3D"d"]':{heigh=
t:".217em","vertical-align":"-.217em"},"mjx-dstrut":{display:"inline-block"=
,height:".505em",width:0},'mjx-dstrut[type=3D"d"]':{height:".726em"},"mjx-l=
ine":{display:"block","box-sizing":"border-box","min-height":"1px",height:"=
.06em","border-top":".06em solid",margin:".06em -.1em",overflow:"hidden"},'=
mjx-line[type=3D"d"]':{margin:".18em -.1em"}},e}(s.CommonMfracMixin(a.CHTML=
Wrapper));e.CHTMLmfrac=3Dc},6911:function(t,e,r){var n,o=3Dthis&&this.__ext=
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constructor=3Dt}n(t,e),t.prototype=3Dnull=3D=3D=3De?Object.create(e):(r.pro=
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urn o(e,t),e.prototype.toCHTML=3Dfunction(t){var e=3Dthis.standardCHTMLnode=
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},e}(a.CommonMglyphMixin(i.CHTMLWrapper));e.CHTMLmglyph=3Dl},1653:function(=
t,e,r){var n,o=3Dthis&&this.__extends||(n=3Dfunction(t,e){return(n=3DObject=
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r)&&(t[r]=3De[r])})(t,e)},function(t,e){if("function"!=3Dtypeof e&&null!=3D=
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on(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 ne=
w TypeError("Class extends value "+String(e)+" is not a constructor or null=
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id 0;var a=3Dr(4300),s=3Dr(8009),l=3Dr(6405),c=3Dfunction(t){function e(){r=
eturn null!=3D=3Dt&&t.apply(this,arguments)||this}return o(e,t),e.prototype=
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a,n=3Dthis.combinePrePost(r.sub,r.psub),o=3Dthis.combinePrePost(r.sup,r.psu=
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ipts(s,-l,!0,r.psub,r.psup,this.firstPrescript,r.numPrescripts),this.childN=
odes[0].toCHTML(e),r.numScripts&&this.addScripts(s,-l,!1,r.sub,r.sup,1,r.nu=
mScripts)},e.prototype.addScripts=3Dfunction(t,e,r,n,o,i,a){var s=3Dthis.ad=
aptor,l=3Dt-o.d+(e-n.h),c=3Dt<0&&0=3D=3D=3De?n.h+t:t,u=3Dl>0?{style:{height=
:this.em(l)}}:{},p=3Dc?{style:{"vertical-align":this.em(c)}}:{},f=3Dthis.ht=
ml("mjx-row"),h=3Dthis.html("mjx-row",u),d=3Dthis.html("mjx-row"),m=3D"mjx-=
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r y=3Di+2*a;i<y;)this.childNodes[i++].toCHTML(s.append(d,this.html("mjx-cel=
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nd=3Dl.MmlMmultiscripts.prototype.kind,e.styles=3D{"mjx-prescripts":{displa=
y:"inline-table","padding-left":".05em"},"mjx-scripts":{display:"inline-tab=
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lign":"right"}},e}(s.CommonMmultiscriptsMixin(a.CHTMLmsubsup));e.CHTMLmmult=
iscripts=3Dc},6460:function(t,e,r){var n,o=3Dthis&&this.__extends||(n=3Dfun=
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type.hasOwnProperty.call(e,r)&&(t[r]=3De[r])})(t,e)},function(t,e){if("func=
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String(e)+" is not a constructor or null");function r(){this.constructor=3D=
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ase));e.CHTMLmsubsup=3Dh},8002:function(t,e,r){var n,o=3Dthis&&this.__exten=
ds||(n=3Dfunction(t,e){return(n=3DObject.setPrototypeOf||{__proto__:[]}inst=
anceof 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 exte=
nds value "+String(e)+" is not a constructor or null");function r(){this.co=
nstructor=3Dt}n(t,e),t.prototype=3Dnull=3D=3D=3De?Object.create(e):(r.proto=
type=3De.prototype,new r)}),i=3Dthis&&this.__values||function(t){var e=3D"f=
unction"=3D=3Dtypeof Symbol&&Symbol.iterator,r=3De&&t[e],n=3D0;if(r)return =
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=
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E.METRICS&&u){var p=3Do[l.display?1:0].get(u),f=3Dp.em,h=3Dp.ex,d=3Dp.conta=
inerWidth,m=3Dp.lineWidth,y=3Dp.scale,v=3Dp.family;l.setMetrics(f,h,d,m,y),=
this.options.mtextInheritFont&&(l.outputData.mtextFamily=3Dv),this.options.=
merrorInheritFont&&(l.outputData.merrorFamily=3Dv),l.state(c.STATE.METRICS)=
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r r=3Dthis.options.mtextInheritFont||this.options.merrorInheritFont,n=3Dthi=
s.getTestElement(t,e),o=3Dthis.measureMetrics(n,r);return this.adaptor.remo=
ve(n),o},e.prototype.getMetricMaps=3Dfunction(t){var e,r,n,o,i,a,l,u,p,f,h=
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);!y.done;y=3Dm.next()){var v=3Dy.value;if((w=3Dh.parent(v.start.node))&&v.=
state()<c.STATE.METRICS){var g=3Dd[v.display?1:0];g.has(w)||g.set(w,this.ge=
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{for(var M=3Ds(x.keys()),O=3DM.next();!O.done;O=3DM.next()){var S=3DO.value=
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t){i=3D{error:t}}finally{try{C&&!C.done&&(a=3D_.return)&&a.call(_)}finally{=
if(i)throw i.error}}}}catch(t){n=3D{error:t}}finally{try{O&&!O.done&&(o=3DM=
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w)}}catch(t){p=3D{error:t}}finally{try{P&&!P.done&&(f=3DT.return)&&f.call(T=
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ne&&(u=3DE.return)&&u.call(E)}finally{if(l)throw l.error}}return x},e.proto=
type.getTestElement=3Dfunction(t,e){var r=3Dthis.adaptor;if(!this.testInlin=
e){this.testInline=3Dthis.html("mjx-test",{style:{display:"inline-block",wi=
dth:"100%","font-style":"normal","font-weight":"normal","font-size":"100%",=
"font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-s=
pacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px","ma=
rgin-right":"-1px"}},[this.html("mjx-left-box",{style:{display:"inline-bloc=
k",width:0,float:"left"}}),this.html("mjx-ex-box",{style:{position:"absolut=
e",overflow:"hidden",width:"1px",height:"60ex"}}),this.html("mjx-right-box"=
,{style:{display:"inline-block",width:0,float:"right"}})]),this.testDisplay=
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r.setStyle(this.testDisplay,"margin-right",""),r.setStyle(r.firstChild(this=
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Style(n,"display","table-cell"),r.setStyle(n,"width","10000em"),r.setStyle(=
n,"float","")}return r.append(t,r.clone(e?this.testDisplay:this.testInline)=
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fontFamily(t):"",o=3Dr.fontSize(t),i=3Da(r.nodeSize(r.childNode(t,1)),2),s=
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1e6,lineWidth:1e6,scale:Math.max(this.options.minScale,this.options.matchFo=
ntHeight?c/this.font.params.x_height/o:1),family:n}},e.prototype.styleSheet=
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ssStyles.addStyles(this.constructor.commonStyles),"getStyles"in t)try{for(v=
ar n=3Ds(t.getStyles()),o=3Dn.next();!o.done;o=3Dn.next()){var i=3Do.value;=
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e",{id:"MJX-styles"},[this.text("\n"+this.cssStyles.cssText+"\n")])},e.prot=
otype.addFontStyles=3Dfunction(t){t.addStyles(this.font.styles)},e.prototyp=
e.addWrapperStyles=3Dfunction(t){var e,r;try{for(var n=3Ds(this.factory.get=
Kinds()),o=3Dn.next();!o.done;o=3Dn.next()){var i=3Do.value;this.addClassSt=
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&!o.done&&(r=3Dn.return)&&r.call(n)}finally{if(e)throw e.error}}},e.prototy=
pe.addClassStyles=3Dfunction(t,e){e.addStyles(t.styles)},e.prototype.setDoc=
ument=3Dfunction(t){t&&(this.document=3Dt,this.adaptor.document=3Dt.documen=
t)},e.prototype.html=3Dfunction(t,e,r,n){return void 0=3D=3D=3De&&(e=3D{}),=
void 0=3D=3D=3Dr&&(r=3D[]),this.adaptor.node(t,e,r,n)},e.prototype.text=3Df=
unction(t){return this.adaptor.text(t)},e.prototype.fixed=3Dfunction(t,e){r=
eturn void 0=3D=3D=3De&&(e=3D3),Math.abs(t)<6e-4?"0":t.toFixed(e).replace(/=
\.?0+$/,"")},e.prototype.measureText=3Dfunction(t,e,r){void 0=3D=3D=3Dr&&(r=
=3D["",!1,!1]);var n=3Dthis.unknownText(t,e);if("-explicitFont"=3D=3D=3De){=
var o=3Dthis.cssFontStyles(r);this.adaptor.setAttributes(n,{style:o})}retur=
n this.measureTextNodeWithCache(n,t,e,r)},e.prototype.measureTextNodeWithCa=
che=3Dfunction(t,e,r,n){void 0=3D=3D=3Dn&&(n=3D["",!1,!1]),"-explicitFont"=
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nCache.has(r)||this.unknownCache.set(r,new Map);var o=3Dthis.unknownCache.g=
et(r),i=3Do.get(e);if(i)return i;var a=3Dthis.measureTextNode(t);return o.s=
et(e,a),a},e.prototype.measureXMLnode=3Dfunction(t){var e=3Dthis.adaptor,r=
=3Dthis.html("mjx-xml-block",{style:{display:"inline-block"}},[e.clone(t)])=
,n=3Dthis.html("mjx-baseline",{style:{display:"inline-block",width:0,height=
:0}}),o=3Dthis.html("mjx-measure-xml",{style:{position:"absolute",display:"=
inline-block","font-family":"initial","line-height":"normal"}},[n,r]);e.app=
end(e.parent(this.math.start.node),this.container),e.append(this.container,=
o);var i=3Dthis.math.metrics.em*this.math.metrics.scale,a=3De.nodeBBox(r),s=
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f,d:h}},e.prototype.cssFontStyles=3Dfunction(t,e){void 0=3D=3D=3De&&(e=3D{}=
);var r=3Da(t,3),n=3Dr[0],o=3Dr[1],i=3Dr[2];return e["font-family"]=3Dthis.=
font.getFamily(n),o&&(e["font-style"]=3D"italic"),i&&(e["font-weight"]=3D"b=
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yle"),"bold"=3D=3D=3Dt.get("font-weight")]},e.NAME=3D"Common",e.OPTIONS=3Di=
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Attributes:{},exFactor:.5,displayAlign:"center",displayIndent:"0",wrapperFa=
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n e)Object.prototype.hasOwnProperty.call(e,r)&&(t[r]=3De[r])})(t,e)},functi=
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s.constructor=3Dt}n(t,e),t.prototype=3Dnull=3D=3D=3De?Object.create(e):(r.p=
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turn r.call(t);if(t&&"number"=3D=3Dtypeof t.length)return{next:function(){r=
eturn t&&n>=3Dt.length&&(t=3Dvoid 0),{value:t&&t[n++],done:!t}}};throw new =
TypeError(e?"Object is not iterable.":"Symbol.iterator is not defined.")},a=
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ar r=3D0,n=3De.length,o=3Dt.length;r<n;r++,o++)t[o]=3De[r];return t};Object=
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pe,"jax",{get:function(){return this.factory.jax},enumerable:!1,configurabl=
e:!0}),Object.defineProperty(e.prototype,"adaptor",{get:function(){return t=
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rty(e.prototype,"metrics",{get:function(){return this.factory.jax.math.metr=
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?this.bbox:h.BBox.zero();return this.computeBBox(e),this.bboxComputed=3Dt,e=
},e.prototype.computeBBox=3Dfunction(t,e){var r,n;void 0=3D=3D=3De&&(e=3D!1=
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y{try{a&&!a.done&&(n=3Do.return)&&n.call(o)}finally{if(r)throw r.error}}t.c=
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e=3Dnull),void 0=3D=3D=3Dr&&(r=3D!0),t)return!1;r&&(this.bbox.pwidth=3D"");=
var a=3D!1;try{for(var s=3Di(this.childNodes),l=3Ds.next();!l.done;l=3Ds.ne=
xt()){var c=3Dl.value,u=3Dc.getBBox();u.pwidth&&c.setChildPWidths(t,null=3D=
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s.parent&&this.parent.invalidateBBox())},e.prototype.copySkewIC=3Dfunction(=
t){var e=3Dthis.childNodes[0];(null=3D=3De?void 0:e.bbox.sk)&&(t.sk=3De.bbo=
x.sk),(null=3D=3De?void 0:e.bbox.dx)&&(t.dx=3De.bbox.dx);var r=3Dthis.child=
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box.ic,t.w+=3Dt.ic)},e.prototype.getStyles=3Dfunction(){var t=3Dthis.node.a=
ttributes.getExplicit("style");if(t)for(var r=3Dthis.styles=3Dnew f.Styles(=
t),n=3D0,o=3De.removeStyles.length;n<o;n++){var i=3De.removeStyles[n];r.get=
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le");if(this.removedStyles){var o=3Dthis.removedStyles;o.fontFamily&&(n.fam=
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&(n.weight=3Dn.fontweight),n.fontstyle&&(n.style=3Dn.fontstyle),n.weight&&n=
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,n.family?r=3Dthis.explicitVariant(n.family,n.weight,n.style):(this.node.ge=
tProperty("variantForm")&&(r=3D"-tex-variant"),r=3D(e.BOLDVARIANTS[n.weight=
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s.jax.options.mathmlSpacing||e?t&&this.getMathMLSpacing():this.getTeXSpacin=
g(t,e)},e.prototype.getMathMLSpacing=3Dfunction(){var t=3Dthis.node.coreMO(=
),e=3Dt.coreParent(),r=3De.parent;if(r&&r.isKind("mrow")&&1!=3D=3Dr.childNo=
des.length){var n=3Dt.attributes,o=3Dn.get("scriptlevel")>0;this.bbox.L=3Dn=
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s.bbox.L=3DMath.max(0,this.bbox.L-s.R))}}}},e.prototype.getTeXSpacing=3Dfun=
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gth2em(r))}if(t||e){var n=3Dthis.node.coreMO().attributes;n.isSet("lspace")=
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ode.parent&&this.node.parent.isEmbellished)},e.prototype.core=3Dfunction(){=
return this.jax.nodeMap.get(this.node.core())},e.prototype.coreMO=3Dfunctio=
n(){return this.jax.nodeMap.get(this.node.coreMO())},e.prototype.getText=3D=
function(){var t,e,r=3D"";if(this.node.isToken)try{for(var n=3Di(this.node.=
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otype.canStretch=3Dfunction(t){if(this.stretch=3Dd.NOSTRETCH,this.node.isEm=
bellished){var e=3Dthis.core();e&&e.node!=3D=3Dthis.node&&e.canStretch(t)&&=
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AlignShift=3Dfunction(){var t,e=3D(t=3Dthis.node.attributes).getList.apply(=
t,s([],a(c.indentAttributes))),r=3De.indentalign,n=3De.indentshift,o=3De.in=
dentalignfirst,i=3De.indentshiftfirst;return"indentalign"!=3D=3Do&&(r=3Do),=
"auto"=3D=3D=3Dr&&(r=3Dthis.jax.options.displayAlign),"indentshift"!=3D=3Di=
&&(n=3Di),"auto"=3D=3D=3Dn&&(n=3Dthis.jax.options.displayIndent,"right"!=3D=
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r,this.length2em(n,this.metrics.containerWidth)]},e.prototype.getAlignX=3Df=
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r?e.L*e.rscale:(t-e.w*e.rscale)/2},e.prototype.getAlignY=3Dfunction(t,e,r,n=
,o){return"top"=3D=3D=3Do?t-r:"bottom"=3D=3D=3Do?n-e:"center"=3D=3D=3Do?(t-=
r-(e-n))/2:0},e.prototype.getWrapWidth=3Dfunction(t){return this.childNodes=
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e.stretchColumn=3Dfunction(t,e){var r,n,o,i,a,l,c=3D[];try{for(var u=3Ds(th=
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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=
Rows).fill(0),e=3Dnew Array(this.numRows).fill(0),r=3Dnew Array(this.numCol=
s).fill(0),n=3Dnew Array(this.numRows),o=3Dnew Array(this.numRows),i=3D[0],=
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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his.extendHD(s,t,e,l),this.extendHD(s,n,o,l)}var h=3Di[0];return this.data=
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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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),a&&p>a[e]&&(a[e]=3Dp),s},e.prototype.extendHD=3Dfunction(t,e,r,n){var o=
=3D(n-(e[t]+r[t]))/2;o<1e-5||(e[t]+=3Do,r[t]+=3Do)},e.prototype.recordPWidt=
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=
=3D=3D=3De&&(e=3D!1);var r,n,o=3Dthis.getTableData(),a=3Do.H,s=3Do.D;if(thi=
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=
tBBoxLR(),2),v=3Dy[0],g=3Dy[1];t.L=3Dv,t.R=3Dg,c.isPercent(f)||this.setColu=
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=
.bbox.pwidth=3D"",this.container.bbox.pwidth=3D"");var o=3Dthis.bbox,i=3Do.=
w,a=3Do.L,s=3Do.R,l=3Dthis.node.attributes.get("data-width-includes-label")=
,p=3DMath.max(i,this.length2em(n,Math.max(e,a+i+s)))-(l?a+s:0),f=3Dthis.nod=
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.=
getBBox())}}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.getBBoxHD=3Dfunction(t)=
{var e=3Di(this.getAlignmentRow(),2),r=3De[0],n=3De[1];if(null=3D=3D=3Dn){v=
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=
lignShift(e),2),n=3Dr[0],o=3Dr[1],a=3Dthis.hasLabels&&!!t.get("data-width-i=
ncludes-label");return a&&this.frame&&this.fSpace[0]&&(n-=3Dthis.fSpace[0])=
,"center"!=3D=3Do||a?"left"=3D=3D=3De?[n,0]:[0,n]:[n,n]}return[0,0]},e.prot=
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)=
)+2*this.fSpace[0];e=3DMath.max(0,this.length2em(t)-o)/r}return Array(this.=
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=
=3DArray.from(t.keys()),o=3Dn.filter((function(e){return"fit"=3D=3D=3Dt[e]}=
)),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=
EqualRowHeight():0,l=3Dthis.getRowHalfSpacing(),c=3Dthis.fLine,u=3D0;u<t;u+=
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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=
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ght"),this.a11yVar("backgroundColor"),this.a11yVar("backgroundOpacity"),thi=
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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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t","Reset to defaults",(function(){return t.resetDefaults()}))]),this.subme=
nu("Accessibility","Accessibility",[this.checkbox("Activate","Activate","ex=
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is.checkbox("Braille","Braille Output","braille"),this.checkbox("View Brail=
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collapsible"),this.checkbox("AutoCollapse","Auto Collapse","autocollapse",{=
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s.document.outputJax.options.scale=3DparseFloat(t),this.document.rerender()=
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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=
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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=
tem=3Dr,t&&this.menu.post(t),this.zoomBox.post())},t.prototype.isZoomEvent=
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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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input=3Ddocument.createElement("input"),this.input.addEventListener("keydow=
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ttribute("tabindex")&&t.setAttribute("tabindex","-1");try{t.blur()}catch(t)=
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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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.removeTaborder_()},t.prototype.insertElement=3Dfunction(t){t.classList.con=
tains(this.attachedClass)||(t.classList.add(this.attachedClass),this.tabord=
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s.attachedClass);this.store=3D[].slice.call(t)},t.prototype.insertTaborder_=
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TAB,t.getAttribute("tabindex")),t.setAttribute("tabindex","0")},t.prototype=
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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>
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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--

^ permalink raw reply	[flat|nested] 3+ messages in thread
* Re: Jupyter (.ipynb) to Word (docx.) incorrect results
       [not found]       ` <a9a04a8c-3bb6-4013-b6e7-ffba7aac3700n-/JYPxA39Uh5TLH3MbocFFw@public.gmane.org>
@ 2022-02-13  7:44         ` John MacFarlane
  0 siblings, 0 replies; 3+ messages in thread
From: John MacFarlane @ 2022-02-13  7:44 UTC (permalink / raw)
  To: Richard Huntsinger, pandoc-discuss

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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^ permalink raw reply	[flat|nested] 3+ messages in thread
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2022-01-24 18:39   ` Jupyter (.ipynb) to Word (docx.) incorrect results John MacFarlane
2022-02-12 18:29     ` Richard Huntsinger
     [not found]       ` <a9a04a8c-3bb6-4013-b6e7-ffba7aac3700n-/JYPxA39Uh5TLH3MbocFFw@public.gmane.org>
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