math
	{line-height:1.3em;
	text-indent:0;
}

math[display="block"]
	{display:block;
	text-align:center;
	page-break-inside:avoid;
}


mfrac
	{display:inline-block;
	text-align:center; 
        vertical-align:-0.6em;
	margin:0 2px;
	font-size:1em;
}

mfrac > *
	{line-height:1.3em;
	font-size:0.9em;
}

mfrac > *:first-child
	{
        display:block;
	vertical-align:bottom;
	text-align:center;
}


mfrac > * + *
	{border-top:solid thin;
        vertical-align:text-top;
	display:inline-block;
        width:100%; 
	text-align:center; 
}

mfrac[linethickness="0"] > * + *
	{border-top:none;
}

mfrac[linethickness="2"] > * + *, mfrac[linethickness="thick"] > * + *
	{border-top:solid medium;
}

mfrac[numalign="left"] > *:first-child, mfrac[denalign="left"] > * + *
	{text-align:left;
}

mfrac[numalign="right"] > *:first-child, mfrac[denalign="right"] > * + *
	{text-align:right;
}

msubsup, msup, msub {
  display:inline-block;
  position:relative;
  padding-top:0.2em;
  padding-bottom:0.2em;
}

msubsup { 
  text-align:left;
 }


msubsup>*:first-child,  msub>*:first-child, msup > *:first-child {
  display:inline-block;
  vertical-align:baseline;
}

msubsup>*:first-child {
  font-size:1.5em;
}

msub>*+*, msubsup>*+*{ 
  display:inline-block;
  vertical-align:bottom;  
  margin-bottom:-1em;
}

msup>*+* { 
  display:inline-block;
  vertical-align:top;
  margin-left:0.2em;  
  margin-top:-0.7em;
}

msubsup>*:last-child{
  display:table-cell;
  padding-left:1em;
}




msub > * + *, msup > * + *, msubsup > * + *, munder > * + *, mover > * + *, munderover > * + *,
mmultiscripts > * + * {
  font-size:0.7em;
}


munder, munderover, mover
	{display:inline-table;
	margin:1px;
	text-align:center;
}

munder > *, munderover > *, mover > *
	{display:table-row;
}

mover > * + *, munderover > * + * + *
	{display:table-header-group;
}

mover, munderover
	{table-baseline:2;
}

msqrt
	{display:inline-block;
	margin:1px 0 1px 22px;
	border-top:solid 1px;
	border-left:groove 2px;
	padding:2px 5px 0 0;
}

msqrt:before
	{display:inline-block;
	vertical-align:bottom;
	content:'';
	width:22px;
	height:14px;
	background-repeat:no-repeat;
	margin:0 3px 0 -22px;
}

msqrt:before, mroot > * + *:after
	{background-image:url("data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABYAAAAOCAYAAAArMezNAAAArklEQVR42mNgIAzkgJiRgYpAGIgnAfFvIF4JxKyUGsgOxKVA/ASI5wCxHRBvA+K9QMxHrqGRQLweiDOBmBdJnAWI5wPxeSAWJ8VAPSBOAWJTAuo6gPguEKsQY6gQEPOQ4Ih8IH4JxCYMNABhQPwOiN1pYbgzEL8C4hhaGG4AxM+BuJgWhisB8W0g7qOF4SJAfBqIl1EjI6EDbiDeAcQ7SUxlRAGQa5cA8RkGGoFeACG1GGdqegJfAAAAAElFTkSuQmCC");
}

mroot
	{display:inline-table;
	direction:rtl;
}

mroot > *
	{display:table-cell;
	direction:ltr;
	text-align:left;
}

mroot > *:first-child
	{border-top:solid 1px;
	border-left:groove 2px;
	padding:2px 5px 0 3px;
}

mroot > * + *
	{vertical-align:bottom;
	text-align:right;
	font-size:0.7em;
	line-height:1em;
}

mroot > * + *:after
	{display:block;
	content:"";
	width:22px;
	height:14px;
	margin-right:-1px;
	margin-left:auto;
}




mfenced
	{display:inline-block;
	padding:0.2em 0.2em 0.1em 0.1em;
        border-left: thin solid;
        border-right: thin solid;
        -webkit-border-radius:0.5em;
	white-space:nowrap;
	margin:1px;
}

msup  mfenced {
  	padding:0.5em 0.2em 0.4em 0.1em;
}

mfenced > *:first-child
	{display:inline-block;
}

mfenced > * + *
	{display:none;
}





mfenced[open="["] > *:before
	{border-style:solid;
	border-width:1px 0 1px 1px;
	background-image:none;
}
mfenced[close="]"] > *:after
	{border-style:solid;
	border-width:1px 1px 1px 0;
	background-image:none;
}
mfenced[open="\2016"] > *:before
	{border-style:double;
	border-width:0 0 0 3px;
	background-image:none;
}
mfenced[close="\2016"] > *:after
	{border-style:double;
	border-width:0 3px 0 0;
	background-image:none;
}
mfenced[open="\27e6"] > *:before
	{border-style:double;
	border-width:2px 0 2px 3px;
	background-image:none;
}
mfenced[close="\27e7"] > *:after
	{border-style:double;
	border-width:2px 3px 2px 0;
	background-image:none;
}
mfenced[open="|"] > *:before
	{border-style:solid;
	border-width:0 0 0 1px;
	background-image:none;
}
mfenced[close="|"] > *:after
	{border-style:solid;
	border-width:0 1px 0 0;
	background-image:none;
}
mfenced[open="\230a"] > *:before
	{border-style:solid;
	border-width:0 0 1px 1px;
	background-image:none;
}
mfenced[close="\230b"] > *:after
	{border-style:solid;
	border-width:0 1px 1px 0;
	background-image:none;
}
mfenced[open="\2308"] > *:before
	{border-style:solid;
	border-width:1px 0 0 1px;
	background-image:none;
}
mfenced[close="\2309"] > *:after
	{border-style:solid;
	border-width:1px 1px 0 0;
	background-image:none;
}
mfenced[open="{"] > *:before
	{content:"\A0\A0";
	background-image:url("data:image/png;base64,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");
}
mfenced[close="}"] > *:after
	{content:"\A0\A0";
	background-image:url("data:image/png;base64,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");
}
mfenced[open="\27e8"] > *:before, mfenced[open="\2329"] > *:before
	{background-image:url("data:image/png;base64,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");
}
mfenced[close="\27e9"] > *:after, mfenced[close="\232A"] > *:after
	{background-image:url("data:image/png;base64,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");
}
mfenced[open=""] > *:before, mfenced[close=""] > *:after
	{content:normal;
}


mover > * + mo[fence="true"], munder > * + mo[fence="true"]
	{content:"\A0";
	line-height:1ex;
	background-size:100% 100%;
	background-image:url("data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFAAAAAUCAYAAAAa2LrXAAABxElEQVR42u2YsUsCURzHnxlncmJlttYWkeDi4pBNDU6J0C4tRmPc2phb2KSL0iBt9T8EhTjWP2CFDoInCFKLINe3+gaH1ekdZ6S8L3yWd+/d7/v7+t5xpxD/WwqRcqhlIuVQa0TKoXaIlANlwCHJyDjsaQs0wRJpckxqhFZADnSBZhrXOJbjHCkoyF2VBFlQBC/AAM/AZ5rr45jBOUWuSfIewWkNYR5EwR4bOgEFcA2q4B7UwRNocRf1GMRvPIL4D7XivGa1tscaLdas00OVngr0mKXnKHv4E82BBI9TBTyA/oiG7DAA50C18KByzsDFun32UmFvCfbqihZAClwA3UXT73TALSiBYxCz4SvGNSXeo+OyN509p5iBbanc6l2L3dIAN6AMTvnrHbDoNoiAdRIGi2SSn2aKqU7YVD9CTyl61Oi5zB4aFru6yyzUcQx4eHN9aIvXwBlIg00xm9+nCntLs9fa0CNKZzYeq+N6xcmvfCbsAv8MhjWu/MygwkwMZvTtWAfAHWiDIzHFrwUTVJDZtJlVwHwxDy5BSOY0UiFmlf8a2BCfb/hS9pRjdmIfeGUetuVldmJVZuFYH9nJv8ydS3kDn8bEmYaXZFsAAAAASUVORK5CYII=");
}
munder > * + mo[fence="true"]
	{background-image:url("data:image/png;base64,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");
}
menclose
	{display:inline-table;
	border-collapse:separate;
	border-spacing:0.4ex 0;
}
menclose[notation="top"]
	{border-top:solid thin;
}
menclose[notation="bottom"]
	{border-bottom:solid thin;
}
menclose[notation="right"]
	{border-right:solid thin;
}
menclose[notation="left"]
	{border-left:solid thin;
}
menclose[notation="box"]
	{border:solid thin;
}
menclose[notation="horizontalstrike"]
	{text-decoration:line-through;
}
mtable
	{display:inline-table;
	line-height:1.5em;
	text-align:center;
	vertical-align:middle;
}
mtr
	{display:table-row;
}
mtd
	{display:table-cell;
	padding:0 0.5ex;
}
mtable[columnalign="left"], mtr[columnalign="left"], mtd[columnalign="left"]
	{text-align:left;
}
mtable[columnalign="right"], mtr[columnalign="right"], mtd[columnalign="right"]
	{text-align:right;
}
mtable[rowalign="top"] mtd, mtable mtr[rowalign="top"] mtd, 
math mtable mtr mtd[rowalign="top"]
	{vertical-align:top
}
mtable[rowalign="bottom"] mtd, mtable mtr[rowalign="bottom"] mtd, 
math mtable mtr mtd[rowalign="bottom"]
	{vertical-align:bottom
}
mtable[rowalign="center"] mtd, mtable mtr[rowalign="center"] mtd, 
math mtable mtr mtd[rowalign="center"]
	{vertical-align:middle
}
mtable[frame="solid"]
	{border:solid thin;
}
mtable[frame="dashed"]
	{border:dashed thin;
}
mtable[rowlines="solid"], mtable[rowlines="dashed"], 
mtable[columnlines="solid"], mtable[columnlines="dashed"]
	{border-collapse:collapse;
}
mtable[rowlines="solid"] > mtr + mtr
	{border-top:solid thin;
}
mtable[rowlines="dashed"] > mtr + mtr
	{border-top:dashed thin;
}
mtable[columnlines="solid"] > mtr > mtd + mtd
	{border-left:solid thin;
}
mtable[columnlines="dashed"] > mtr > mtd + mtd
	{border-left:dashed thin;
}
mspace[linebreak="goodbreak"]:before
	{content:"\200B";
	white-space:normal;
}
mspace[linebreak="newline"]:before, mspace[linebreak="indentingnewline"]:before 
	{content:"\000A";
	white-space:pre;
}
mspace[width]:before
	{content:normal;
}
mspace[width="verythinmathspace"]
	{padding:0 0.05em;
}
mspace[width="thinmathspace"]
	{padding:0 0.08em;
}
mspace[width="mediummathspace"]
	{padding:0 0.11em;
}
mspace[width="thickmathspace"]
	{padding:0 0.14em;
}
mspace[width="verythickmathspace"]
	{padding:0 0.17em;
}
mo[largeop="true"]
	{font-size:1.3em;
	vertical-align:-0.1ex;
}
mo[form="infix"], * + mo
	{padding:0 0.3ex;
}
mo[form="prefix"]
	{padding:0 0 0 0.5ex;
}
mo[form="postfix"]
	{padding:0 0.5ex 0 0;
}
mo[fence="true"], mo[separator="true"]
	{padding:0;
}
mi[mathvariant="bold"], mi[mathvariant="bold-italic"], mi[mathvariant="bold-sans-serif"], 
mi[mathvariant="sans-serif-bold-italic"],mn[mathvariant="bold"], mn[mathvariant="bold-italic"], 
mn[mathvariant="bold-sans-serif"], mn[mathvariant="sans-serif-bold-italic"],mo[mathvariant="bold"], 
mo[mathvariant="bold-italic"], mo[mathvariant="bold-sans-serif"], mo[mathvariant="sans-serif-bold-italic"],
ms[mathvariant="bold"], ms[mathvariant="bold-italic"], ms[mathvariant="bold-sans-serif"], 
ms[mathvariant="sans-serif-bold-italic"],mtext[mathvariant="bold"], mtext[mathvariant="bold-italic"], 
mtext[mathvariant="bold-sans-serif"], mtext[mathvariant="sans-serif-bold-italic"]
	{font-weight:bold;
	font-style:normal;
}
mi[mathvariant="monospace"], mn[mathvariant="monospace"],mo[mathvariant="monospace"], 
ms[mathvariant="monospace"],mtext[mathvariant="monospace"]
	{font-family:monospace;
	font-style:normal;
}
mi[mathvariant="sans-serif"], mi[mathvariant="bold-sans-serif"], mi[mathvariant="bold-sans-serif"], 
mi[mathvariant="sans-serif-italic"], mi[mathvariant="sans-serif-bold-italic"],mn[mathvariant="bold-sans-serif"],
mn[mathvariant="sans-serif"], mn[mathvariant="bold-sans-serif"], mn[mathvariant="sans-serif-italic"],
mn[mathvariant="sans-serif-bold-italic"], mo[mathvariant="sans-serif"], mo[mathvariant="bold-sans-serif"], 
mo[mathvariant="bold-sans-serif"], mo[mathvariant="sans-serif-italic"], mo[mathvariant="sans-serif-bold-italic"], 
ms[mathvariant="sans-serif"], ms[mathvariant="bold-sans-serif"], ms[mathvariant="bold-sans-serif"], 
ms[mathvariant="sans-serif-italic"], ms[mathvariant="sans-serif-bold-italic"], mtext[mathvariant="sans-serif"], 
mtext[mathvariant="bold-sans-serif"], mtext[mathvariant="bold-sans-serif"], mtext[mathvariant="sans-serif-italic"], 
mtext[mathvariant="sans-serif-bold-italic"]
	{font-family:sans-serif;
	font-style:normal;
}
mi, mi[mathvariant="italic"], mi[mathvariant="bold-italic"],mi[mathvariant="sans-serif-italic"], 
mi[mathvariant="sans-serif-bold-italic"],mn[mathvariant="italic"], mn[mathvariant="bold-italic"],
mn[mathvariant="sans-serif-italic"], mn[mathvariant="sans-serif-bold-italic"],mo[mathvariant="italic"], 
mo[mathvariant="bold-italic"],mo[mathvariant="sans-serif-italic"], mo[mathvariant="sans-serif-bold-italic"],
ms[mathvariant="italic"], ms[mathvariant="bold-italic"],ms[mathvariant="sans-serif-italic"], 
ms[mathvariant="sans-serif-bold-italic"],mtext[mathvariant="italic"], mtext[mathvariant="bold-italic"],
mtext[mathvariant="sans-serif-italic"], mtext[mathvariant="sans-serif-bold-italic"]
	{font-style:italic;
}
mi[mathvariant="normal"], mn[mathvariant="normal"], mo[mathvariant="normal"], 
ms[mathvariant="normal"], mtext[mathvariant="normal"]
	{font-style:normal;
}
ms:before, ms:after 
	{content:"\0022"
}
ms[lquote]:before 
	{content:attr(lquote)
}
ms[rquote]:after 
	{content:attr(rquote)
}
mphantom 
	{visibility:hidden
}
merror
	{outline:solid thin red
}
merror:before
	{content:"Error: "
}
mrow
	{white-space:nowrap;
}
maction > * + *
	{display:none;
}
maction[actiontype="tooltip"]:focus > * + *,
maction[actiontype="tooltip"]:hover > * + *
	{position:fixed;
	display:block;
	top:0;
	left:0;
	background-color:InfoBackground;
	color:InfoText;
	padding:0.5ex;
	border:solid 1px;
}
annotation, annotation-xml
	{display:none;}