/* for inadequate CSS support: put warning message inside a span inside this: */
p.browser-nocss { color: red }
p.browser-nocss > span { display: none; } /* IE6 doesn't know CSS child. */

/* The line-height is to accommodate a single level of super- or sub-script */
/* p{ text-indent: 2.0em; text-align: justify; line-height: 1.2; } */
p.continuation{ text-indent: 0; }

.math, i.mi, .math td, .math th {
	/*font-family: freeserif, "times new roman", serif;*/
	/*white-space: nowrap;*/
	}
.math, i.mi { word-spacing: -0.2ex; }
span.math{ /*padding-left: 0.15ex; padding-right: 0.15ex*/ text-align: center; width: 100%; word-spacing: normal; }
div.math{ text-align: center; width: 100%; word-spacing: normal; }
span.mtext{ word-spacing: normal; white-space: normal; word-spacing: normal; }

b.algebra{ font-family: freesans, verdana, sans-serif; font-weight: bold; }
/* In math, superscripts are normally placed rather low, so that the top
 * of the first level of superscript is even with the top of the main line.
 * Usually, the superscript is already rather small, but for on-screen 
 * reading, a slightly larger size is more appropriate. */
.math sup{ vertical-align: 0.35em; font-size: 75%; }
.math sub{ vertical-align: -0.25em; font-size: 75%; }
.math sub sub{ vertical-align: -0.5em; font-size: 85%; }
.subsup{ position: relative; }
.subsup sup{ position: absolute; left: 0; top: -0.2em; }
.subsup sub{ top: 0; }
/* Netscape 4 on mac interprets margins as being from the page?
   Netscape 4 also screws up with padding, as though it means distance
   from margin
  .math var{margin-left: 0.15ex; margin-right: 0.15ex }
*/
.math table{ margin: auto; }

table.matrix, table.matrix-uni {
	margin: auto;
	border-collapse: collapse; border-spacing: 0;
	} /* allows table to be centered */
.matrix td{
	text-align: center;
	line-height: 1.2em;
	padding: 0 1ex 0ex 1ex;
	}
.matrix-uni td{
	text-align: center;
	line-height: 1em;
	padding: 0; margin: 0;
	padding-left: 0.5ex; padding-right: 0.5ex;
	}

table.matrixbrak { margin: auto; border-collapse: collapse; border-spacing: 0; }
table.hybridmatrixbrak { margin: auto;
		border-left: solid thin black;
		border-right: solid thin black;
}
table.matrixbrak td.lbrak { width: 0.8ex;
		font-size: 50%;
		border-top: solid 0.25ex black;
		border-bottom: solid 0.25ex black;
		border-left: solid 0.5ex black;
		border-right: none;
	}
table.matrixbrak td.rbrak { width: 0.8ex; font-size: 50%;
		border-top: solid 0.25ex black;
		border-bottom: solid 0.25ex black;
		border-right: solid 0.5ex black;
		border-left: none;
	}
table.matrixbrak td { line-height: 1.5; }
table.matrixnorm td.normlines { width: 0.8ex; font-size: 50%;
		border-top: none;
		border-bottom: none;
		border-right: solid 0.25ex black;
		border-left: solid 0.25ex black;
	}
table.matrixnorm { margin: auto; }
.norm { width: 0.3ex;
	border-left: thin black solid;
	border-right: thin black solid; }
.matrixbracket { 
	border-left: thin black solid;
	border-right: thin black solid; }
.matrixbracket .nibs { width: 0.3ex;
	border-top: thin black solid;
	border-bottom: thin black solid; }

/* would like to make more compact vertically by setting line-height,
 * but IE then truncates the glyphs */
div.fraction { 
	text-align: center;
	display: inline; 
	vertical-align: middle;
}


.fraction .divider { display: none; } /* for non-css browsers, use dashes */
.fraction .numerator{
	padding-bottom: 0.1ex;
	border-bottom: thin black solid;
	}

span.fraction { position: relative;
	line-height: 1em;
	top: -0.5em;
	}
span.fraction .divider,
span.fraction .denominator
{
	position: absolute;
}
.fraction .numerator { top: 0; }
.fraction .divider { top: 0; }
.fraction span.denominator { left: 0; bottom: -1.2em; }
div.math {}
/* ------------------------------ fractions using tables */
span.baseline { color: silver; }

table.fraction{ margin: auto; 
	display: inline; 
	padding: 0; }
.math > table.fraction{ }
.fraction td{ text-align: center; }

.fraction td.numerator{ padding: 0; }
.fraction td.divider{ vertical-align: baseline; letter-spacing: -0.1em;
	line-height: 0.3em; height: 0.2em;  }
.fraction td.denominator{ padding: 0; }

div.fraction-inline {
	display: inline-block;
	position: relative;
	vertical-align: middle; }
.fraction-inline > span { display: block; padding: 0; }
.fraction-inline span.divider{ position: absolute; top: 0em; display: none;
	letter-spacing: -0.1em;
	 }
.fraction-inline span.denominator{ border-top: thin solid black; }

.hybrid .fraction{ display: inline-block; }
/** ----------------------------- limit ***/
table.limit { margin: auto; display: inline; vertical-align: -0.5em; }
.limit { line-height: 0.9; padding: 0; }
.limit .as { font-size: small; line-height: 1; padding: 0; }
/*** ---------------------------- integrals and summations ***/
table.integral { margin: auto; }
table.integral td{
	padding: 0; margin: 0;
	line-height: 1;
	}
table.integral td.int{
	font-size: 150%;
	vertical-align: middle;
	}
table.sum { margin: auto; }

table.sum-display .sum, .sum-display-inline .sum {
	font-size: 150%;
	padding: 0; margin: 0;
	}
/*span.int:first-child, span.int-cpct:first-child, span.sum:first-child {*/
span.int, span.int-cpct, span.sum {
	position: relative;
	font-size: 150%;
	padding: 0; margin: 0;
	vertical-align: -0.25ex;
	}
.int, .int-cpct { }
.int-cpct{ line-height: 1.6em;  }
.sum{ text-align: center;
	padding: 0 0.25ex 0 0.25ex;
}
.int .limits,
.int-cpct .limits,
.sum .limits {
	line-height: 1;
	font-size: medium;
	text-align: center;
}
.int .limits sub,
.int .limits sup,
.int-cpct .limits sub,
.int-cpct .limits sup,
.sum .limits sub,
.sum .limits sup {
	position: absolute;
	font-size: 75%;
	}
.sum { text-align: center; }
/* how to center one object on another *at all*? */
.sum .limits sup{ left: 0.7ex; top: -1em; }
.sum .limits sub{ left: 0ex; top: 2.3em; }
.int .limits sup{ left: 1.9ex; top: -0.5ex; }
.int .limits sub{ left: 1.2ex; top: 1.6em; }
.int-cpct .limits sup{ right: -1.5ex; top: -0.7ex; }
.int-cpct .limits sub{ left: 1.2ex; top: 1.6em; }

.math table td { vertical-align: middle; }
.sum-display, .sum-display-inline { display: inline; }
.sum-display .lim, .sum-display-inline .lim { font-size: 75%; }
.sum-display-inline .lim, .sum-display-inline .sum { text-align: center; }
table.sum-display-inline { vertical-align: -1.2em; padding: 0; }
.sum-display td, .sum-display-inline td {
	padding: 0; margin: 0; 
}
span.sum-display-inline { display: inline-block; vertical-align: -1.2em; }
.sum-display-inline span.lim { display: block; }

span.sum-display { display: inline; }
.sum-display span.sum { vertical-align: baseline; }

.expression, td.integrand{ padding-left: 0.5ex; padding-right: 0.5ex;
	vertical-align: baseline; text-align: left; line-height: 2em;
	 }
.expression td{ }

.uplimit, .downlimit, .upcntrlimit, .downcntrlimit
	{ font-size: small; line-height: 1; }
td.uplimit{ font-size: small; 
	vertical-align: bottom;
	text-align: left; padding: 0.2ex; }
td.downlimit{ 
	vertical-align: top; text-align: left; }
td.upcntrlimit{ 
	text-align: center;
	padding-left: 0.75ex; }
tr.lower, tr.upper { line-height: 1; }
td.downcntrlimit{ padding-top: 0; 
	text-align: center; }
.summation td.upcntrlimit{  text-align: center;
	padding-left: 0.75ex; }
.summation td.downcntrlimit{  padding-top: 0;
	padding-left: 0.75ex; }
.expression sub { line-height: 1; } /* turn off Opera's inheritance of this */
/*** complex formula display ***/
table.expression{ margin: auto; }
/*** equation numbers ***/
table.display{ width: 100%; }
td.blank{ width: 6em; }
td.expression{ width: 85%; }
.eqnnumber{ text-align: right; vertical-align: middle; width: 6em; }

.math .radic2{ font-size: 100%; vertical-align: top; }
.math .root{ border-top: thin black solid; }

/* for inadequate CSS support: put warning message inside a span inside this: */
p.browser-nocss2 { color: red }
p.browser-nocss2 > span { display: none; } /* If no child selector, no CSS2. */