substring theory [Theory]

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From: gratis-_+_8_Sum_ on 10 Sep 2009 01:36

<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD><TITLE>Musatov</TITLE>
<META content=3D"text/html; charset=3Dwindows-1252" =
http-equiv=3DContent-Type>
<SCRIPT>=0A=
function expand(src, id, str, clickedRow, mathml_type) =0A=
{ =0A=
var i =3D src.substring(src.length - 1); =0A=
var source_name =3D src.substring(0, src.length - 1); =0A=
s =3D new String(str); =0A=
s =3D s.replace(/</g, "<"); =0A=
s =3D s.replace(/>/g, "> "); =0A=
s =3D s.replace(/,/g, ", "); =0A=
s =3D s.replace(/\+/g, " + "); =0A=
s =3D s.replace(/\*/g, " * "); =0A=
if (document.getElementById(id + "_hidden").value =3D=3D (src + =
mathml_type)) =0A=
{ =0A=
document.getElementById(id).innerHTML =3D ''; =0A=
document.getElementById(id).className =3D 'NoExpression';=0A=
document.getElementById(src).className =3D 'unSelected';=0A=
document.getElementById(id + "_hidden").value =3D ''; =0A=
} =0A=
else =0A=
{ =0A=
var row =3D document.getElementById(clickedRow); =0A=
cells=3Drow.getElementsByTagName('td'); =0A=
for (var j=3D0; j<cells.length; j++) { =0A=
if (cells[j].className =3D=3D 'selectedExpression') =0A=
cells[j].className =3D 'unSelected'; } =0A=
if (source_name =3D=3D 'image')=0A=
{ =0A=
document.getElementById(id).innerHTML =3D '<img src=3D"' + s + =
'"/>'; =0A=
} =0A=
else =0A=
{ =0A=
document.getElementById(id).innerHTML =3D s; =0A=
} =0A=
document.getElementById(id + "_hidden").value =3D (src + =
mathml_type); =0A=
document.getElementById(src).className =3D 'selectedExpression';
=0A=
document.getElementById(id).className =3D 'code'; =0A=
} =0A=
} =0A=
</SCRIPT>

<STYLE>.code {
BORDER-BOTTOM: #dedadc 2px solid; BORDER-LEFT: #dedadc 2px solid; =
PADDING-BOTTOM: 6px; MARGIN: 0px; PADDING-LEFT: 6px; PADDING-RIGHT:
6px; =
FONT-FAMILY: courier; FONT-SIZE: 10pt; BORDER-TOP: #dedadc 2px solid;
=
BORDER-RIGHT: #dedadc 2px solid; PADDING-TOP: 6px
}
..NoExpression {
PADDING-BOTTOM: 4px; BACKGROUND-COLOR: #ffffff; PADDING-LEFT: 4px; =
PADDING-RIGHT: 4px; PADDING-TOP: 4px
}
..selectedExpression {
TEXT-ALIGN: center; BORDER-LEFT: #dedadc 2px solid; PADDING-BOTTOM: =
4px; PADDING-LEFT: 4px; PADDING-RIGHT: 4px; VERTICAL-ALIGN: middle; =
BORDER-TOP: #dedadc 2px solid; BORDER-RIGHT: #dedadc 2px solid; =
PADDING-TOP: 4px
}
..unSelected {
TEXT-ALIGN: center; BORDER-LEFT: #ffffff 2px solid; PADDING-BOTTOM: =
4px; BACKGROUND-COLOR: #ffffff; PADDING-LEFT: 4px; PADDING-RIGHT: 4px;
=
VERTICAL-ALIGN: middle; BORDER-TOP: #ffffff 2px solid; BORDER-RIGHT: =
#ffffff 2px solid; PADDING-TOP: 4px
}
DIV IMG {
MARGIN: 0px auto; VERTICAL-ALIGN: middle
}
..mathLink {
FONT-SIZE: 8pt
}
..mathLink A {
COLOR: #666
}
..name {
TEXT-ALIGN: center; FONT-WEIGHT: bold
}
BODY {
FONT-FAMILY: 'Trebuchet MS', 'Lucida Grande', Arial, Helvetica, =
sans-serif; FONT-SIZE: 12pt
}
..Heading {
TEXT-ALIGN: center; WIDTH: 800px; FONT-FAMILY: 'Trebuchet MS',
'Lucida =
Grande', Arial, Helvetica, sans-serif; COLOR: #082642; FONT-SIZE:
17pt; =
FONT-WEIGHT: bold
}
</STYLE>

<META name=3DGENERATOR content=3D"MSHTML 8.00.6001.18812"></HEAD>
<BODY>
<DIV class=3DHeading>Musatov</DIV>
<DIV></DIV>
<DIV style=3D"TEXT-ALIGN: center; WIDTH: 810px"><IMG=20
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/s=
creenshot.png"></DIV>
<DIV></DIV>
<DIV class=3DHeading>Expressions</DIV>
<TABLE cellSpacing=3D0 cellPadding=3D0 width=3D800>
<TBODY>
<TR>
<TH>Name</TH>
<TH>Input</TH></TR>
<TR id=3Dprerow0 align=3Dmiddle>
<TD class=3Dname width=3D100>z[0]</TD>
<TD id=3DDerive0 class=3DunSelected vAlign=3Dtop width=3D45><A=20
title=3D"Derive Input"=20
onclick=3D'expand("Derive0", "row0", =
"(abs(((-2)+(5)^(1/2)))*(2)^(1/2))", "prerow0", "0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3D"Derive
Input"=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/d=
erive.png">=20
</A></TD>
<TD id=3Dimage0 class=3DunSelected vAlign=3Dtop width=3D45><A =
title=3DImage=20
onclick=3D'expand("image0", "row0", "./musatov_images/z[0].png",
=
"prerow0", "0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3DImage=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/i=
mage.png">=20
</A></TD></TR>
<TR>
<TD width=3D800 colSpan=3D3><INPUT id=3Drow0_hidden type=3Dhidden>
<DIV id=3Drow0 class=3DNoExpression></DIV></TD></TR>
<TR id=3Dprerow1 align=3Dmiddle>
<TD class=3Dname width=3D100>z[1]</TD>
<TD id=3DDerive1 class=3DunSelected vAlign=3Dtop width=3D45><A=20
title=3D"Derive Input"=20
onclick=3D'expand("Derive1", "row1", "(2)^(1/2)", "prerow1", =
"0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3D"Derive
Input"=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/d=
erive.png">=20
</A></TD>
<TD id=3Dimage1 class=3DunSelected vAlign=3Dtop width=3D45><A =
title=3DImage=20
onclick=3D'expand("image1", "row1", "./musatov_images/z[1].png",
=
"prerow1", "0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3DImage=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/i=
mage.png">=20
</A></TD></TR>
<TR>
<TD width=3D800 colSpan=3D3><INPUT id=3Drow1_hidden type=3Dhidden>
<DIV id=3Drow1 class=3DNoExpression></DIV></TD></TR>
<TR id=3Dprerow2 align=3Dmiddle>
<TD class=3Dname width=3D100>z[2]</TD>
<TD id=3DDerive2 class=3DunSelected vAlign=3Dtop width=3D45><A=20
title=3D"Derive Input"=20
onclick=3D'expand("Derive2", "row2", "((5)^(1/2)*(2)^(1/2))", =
"prerow2", "0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3D"Derive
Input"=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/d=
erive.png">=20
</A></TD>
<TD id=3Dimage2 class=3DunSelected vAlign=3Dtop width=3D45><A =
title=3DImage=20
onclick=3D'expand("image2", "row2", "./musatov_images/z[2].png",
=
"prerow2", "0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3DImage=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/i=
mage.png">=20
</A></TD></TR>
<TR>
<TD width=3D800 colSpan=3D3><INPUT id=3Drow2_hidden type=3Dhidden>
<DIV id=3Drow2 class=3DNoExpression></DIV></TD></TR>
<TR id=3Dprerow3 align=3Dmiddle>
<TD class=3Dname width=3D100>z[3]</TD>
<TD id=3DDerive3 class=3DunSelected vAlign=3Dtop width=3D45><A=20
title=3D"Derive Input"=20
onclick=3D'expand("Derive3", "row3", "[t,(t*(-3))]", "prerow3",
=
"0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3D"Derive
Input"=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/d=
erive.png">=20
</A></TD>
<TD id=3Dimage3 class=3DunSelected vAlign=3Dtop width=3D45><A =
title=3DImage=20
onclick=3D'expand("image3", "row3", "./musatov_images/z[3].png",
=
"prerow3", "0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3DImage=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/i=
mage.png">=20
</A></TD></TR>
<TR>
<TD width=3D800 colSpan=3D3><INPUT id=3Drow3_hidden type=3Dhidden>
<DIV id=3Drow3 class=3DNoExpression></DIV></TD></TR>
<TR id=3Dprerow4 align=3Dmiddle>
<TD class=3Dname width=3D100>z[4]</TD>
<TD id=3DDerive4 class=3DunSelected vAlign=3Dtop width=3D45><A=20
title=3D"Derive Input"=20
onclick=3D'expand("Derive4", "row4", "((-10)+(X)^(2)+(Y)^(2))",
=
"prerow4", "0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3D"Derive
Input"=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/d=
erive.png">=20
</A></TD>
<TD id=3Dimage4 class=3DunSelected vAlign=3Dtop width=3D45><A =
title=3DImage=20
onclick=3D'expand("image4", "row4", "./musatov_images/z[4].png",
=
"prerow4", "0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3DImage=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/i=
mage.png">=20
</A></TD></TR>
<TR>
<TD width=3D800 colSpan=3D3><INPUT id=3Drow4_hidden type=3Dhidden>
<DIV id=3Drow4 class=3DNoExpression></DIV></TD></TR>
<TR id=3Dprerow5 align=3Dmiddle>
<TD class=3Dname width=3D100>z[5]</TD>
<TD id=3DDerive5 class=3DunSelected vAlign=3Dtop width=3D45><A=20
title=3D"Derive Input"=20
onclick=3D'expand("Derive5", "row5", "(PI*10)", "prerow5",
"0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3D"Derive
Input"=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/d=
erive.png">=20
</A></TD>
<TD id=3Dimage5 class=3DunSelected vAlign=3Dtop width=3D45><A =
title=3DImage=20
onclick=3D'expand("image5", "row5", "./musatov_images/z[5].png",
=
"prerow5", "0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3DImage=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/i=
mage.png">=20
</A></TD></TR>
<TR>
<TD width=3D800 colSpan=3D3><INPUT id=3Drow5_hidden type=3Dhidden>
<DIV id=3Drow5 class=3DNoExpression></DIV></TD></TR>
<TR id=3Dprerow6 align=3Dmiddle>
<TD class=3Dname width=3D100>z[6]</TD>
<TD id=3DDerive6 class=3DunSelected vAlign=3Dtop width=3D45><A=20
title=3D"Derive Input"=20
onclick=3D'expand("Derive6", "row6", "(PI*(5)^(1/2)*(2)^(1/2)
*2)", =
"prerow6", "0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3D"Derive
Input"=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/d=
erive.png">=20
</A></TD>
<TD id=3Dimage6 class=3DunSelected vAlign=3Dtop width=3D45><A =
title=3DImage=20
onclick=3D'expand("image6", "row6", "./musatov_images/z[6].png",
=
"prerow6", "0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3DImage=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/i=
mage.png">=20
</A></TD></TR>
<TR>
<TD width=3D800 colSpan=3D3><INPUT id=3Drow6_hidden type=3Dhidden>
<DIV id=3Drow6 class=3DNoExpression></DIV></TD></TR>
<TR id=3Dprerow7 align=3Dmiddle>
<TD class=3Dname width=3D100>z[7]</TD>
<TD id=3DDerive7 class=3DunSelected vAlign=3Dtop width=3D45><A=20
title=3D"Derive Input"=20
onclick=3D'expand("Derive7", "row7", "3.16227766016838", =
"prerow7", "0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3D"Derive
Input"=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/d=
erive.png">=20
</A></TD>
<TD id=3Dimage7 class=3DunSelected vAlign=3Dtop width=3D45><A =
title=3DImage=20
onclick=3D'expand("image7", "row7", "./musatov_images/z[7].png",
=
"prerow7", "0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3DImage=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/i=
mage.png">=20
</A></TD></TR>
<TR>
<TD width=3D800 colSpan=3D3><INPUT id=3Drow7_hidden type=3Dhidden>
<DIV id=3Drow7 class=3DNoExpression></DIV></TD></TR>
<TR id=3Dprerow8 align=3Dmiddle>
<TD class=3Dname width=3D100>z[8]</TD>
<TD id=3DDerive8 class=3DunSelected vAlign=3Dtop width=3D45><A=20
title=3D"Derive Input"=20
onclick=3D'expand("Derive8", "row8", =
"(abs((2+((5)^(1/2)*(-1))))*(2)^(1/2))", "prerow8", "0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3D"Derive
Input"=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/d=
erive.png">=20
</A></TD>
<TD id=3Dimage8 class=3DunSelected vAlign=3Dtop width=3D45><A =
title=3DImage=20
onclick=3D'expand("image8", "row8", "./musatov_images/z[8].png",
=
"prerow8", "0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3DImage=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/i=
mage.png">=20
</A></TD></TR>
<TR>
<TD width=3D800 colSpan=3D3><INPUT id=3Drow8_hidden type=3Dhidden>
<DIV id=3Drow8 class=3DNoExpression></DIV></TD></TR>
<TR id=3Dprerow9 align=3Dmiddle>
<TD class=3Dname width=3D100>z[9]</TD>
<TD id=3DDerive9 class=3DunSelected vAlign=3Dtop width=3D45><A=20
title=3D"Derive Input"=20
onclick=3D'expand("Derive9", "row9", "0.333850535422189", =
"prerow9", "0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3D"Derive
Input"=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/d=
erive.png">=20
</A></TD>
<TD id=3Dimage9 class=3DunSelected vAlign=3Dtop width=3D45><A =
title=3DImage=20
onclick=3D'expand("image9", "row9", "./musatov_images/z[9].png",
=
"prerow9", "0");'=20
href=3D"javascript:void 0;"><IMG border=3D0 alt=3DImage=20
=
src=3D"file:///C:/Documents%20and%20Settings/MMM/Desktop/
musatov_images/i=
mage.png">=20
</A></TD></TR>
<TR>
<TD width=3D800 colSpan=3D3><INPUT id=3Drow9_hidden type=3Dhidden>
<DIV id=3Drow9 =
class=3DNoExpression></DIV></TD></TR></TBODY></TABLE></BODY></HTML>

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