[l2h] Problem with jumping images in formulas
Ralf Scholl
rasch@skillsonline.de
Wed, 5 Sep 2001 11:53:23 +0200
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I'm using $NO_SIMPLEMATH=1; and
$HTML_VERSION = "4.0,math,unicode";
in my l2h-init file, and I have big problems with a jumping baseline in
formulas, which are partly rendered as images.
I wouldn't like to revert to beginner's mode in which the formulas are
rendered completely as pictures.
For the jumping note especially:
the $\lambda_k$ and the $\in$ in inline-mode.
and the correct rendering of
$f''
=\mathbf{U\Lambda U^{\mathrm{T}}}$ in inline-mode, but
incorrect rendering in display-mode.
Please compare the attached files (source in test2.tex, html in
test2.html.).
Ralf Scholl
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\documentclass[english,11pt]{book}
\usepackage{babel}
\usepackage{amsmath}
\usepackage{amssymb}
\begin{document}
\newpage
For a symmetric matrix $\mathbf{H}\in \mathbb{R}^{n\times n}$, we have a
decomposition=20
\begin{equation*}
\mathbf{H=3DU\Lambda U^{\mathrm{T}}}
\end{equation*}
where the diagonal matrix $\mathbf{\Lambda} $ contains the eigenvalues =
$\lambda _{k}$
and $\mathbf{U}=3D(\mathbf{u}_1,\ldots ,\mathbf{u}_{n})$ contains the =
eigenvectors.
For $\mathbf{H}$ symmetric and real, the eigenvalues $\lambda_{k}$ are =
real and the
eigenvectors associated to different eigenvalues are orthogonal, that is =
$\mathbf{U}^{\mathrm{T}}
\mathbf{U} =3D \mathbf{I}$.=20
Using the eigenvalue decomposition of the Hessian $f''
=3D\mathbf{U\Lambda U^{\mathrm{T}}}$, we obtain from the Taylor series~
\end{document}
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original version by: Nikos Drakos, CBLU, University of Leeds
* revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan
* with significant contributions from:
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<A NAME=3D"tex2html8"
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<IMG WIDTH=3D"37" HEIGHT=3D"24" ALIGN=3D"BOTTOM" BORDER=3D"0" =
ALT=3D"next"
SRC=3D"file:///C|/Programme/latex2html/icons/next_g.png"> <BR>
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<H1><A NAME=3D"SECTION00010000000000000000">
About this document ...</A>
</H1>
<P>
This document was generated using the
<A =
HREF=3D"http://www-dsed.llnl.gov/files/programs/unix/latex2html/manual/">=
<STRONG>LaTeX</STRONG>2<tt>HTML</tt></A> translator Version 2K.1beta =
(1.55)
<P>
Copyright © 1993, 1994, 1995, 1996,
<A HREF=3D"http://cbl.leeds.ac.uk/nikos/personal.html">Nikos Drakos</A>, =
Computer Based Learning Unit, University of Leeds.
<BR>
Copyright © 1997, 1998, 1999,
<A HREF=3D"http://www.maths.mq.edu.au/~ross/">Ross Moore</A>,=20
Mathematics Department, Macquarie University, Sydney.
<P>
The command line arguments were: <BR>
<STRONG>latex2html</STRONG> <TT>test2</TT>
<P>
The translation was initiated by Gaston Gonnet, Institute for Scientific =
Computing, ETH Z=FCrich, Switzerland on 2001-09-05
<DIV CLASS=3D"navigation"><HR>
<A NAME=3D"tex2html4"
HREF=3D"test2.html">
<IMG WIDTH=3D"63" HEIGHT=3D"24" ALIGN=3D"BOTTOM" BORDER=3D"0" =
ALT=3D"previous"
SRC=3D"file:///C|/Programme/latex2html/icons/prev.png"></A>=20
<A NAME=3D"tex2html8"
HREF=3D"test2.html">
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<IMG WIDTH=3D"37" HEIGHT=3D"24" ALIGN=3D"BOTTOM" BORDER=3D"0" =
ALT=3D"next"
SRC=3D"file:///C|/Programme/latex2html/icons/next_g.png"> <BR>
<B> Previous:</B> <A NAME=3D"tex2html5"
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<ADDRESS>
<I>Gaston Gonnet, Institute for Scientific Computing, ETH Z=FCrich, =
Switzerland <BR>
2001-09-05</I>
</ADDRESS>
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<!--Converted with LaTeX2HTML 2K.1beta (1.55)
original version by: Nikos Drakos, CBLU, University of Leeds
* revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan
* with significant contributions from:
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<TITLE>test2</TITLE>
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</HEAD>
<BODY >
<DIV CLASS=3D"navigation">
<IMG WIDTH=3D"63" HEIGHT=3D"24" ALIGN=3D"BOTTOM" BORDER=3D"0" =
ALT=3D"previous"
SRC=3D"file:///C|/Programme/latex2html/icons/prev_g.png">=20
<IMG WIDTH=3D"26" HEIGHT=3D"24" ALIGN=3D"BOTTOM" BORDER=3D"0" ALT=3D"up"
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For a symmetric matrix <!-- MATH
$\mathbf{H}\in \mathbb{R}^{n\times n}$
-->
<SPAN CLASS=3D"MATH"><B>H</B> <IMG
WIDTH=3D"13" HEIGHT=3D"27" ALIGN=3D"MIDDLE" BORDER=3D"0"
SRC=3D"img1.png"
ALT=3D"$ \in$"> <IMG
WIDTH=3D"15" HEIGHT=3D"14" ALIGN=3D"BOTTOM" BORDER=3D"0"
SRC=3D"img2.png"
ALT=3D"$ \mathbb {R}$"><SUP>n×n</SUP></SPAN>, we have a
decomposition=20
<P></P>
<DIV ALIGN=3D"CENTER" CLASS=3D"mathdisplay"><!-- MATH
\begin{equation*}
\mathbf{H=3DU\Lambda U^{\mathrm{T}}}
\end{equation*}
-->
<TABLE CLASS=3D"equation*" CELLPADDING=3D"0" WIDTH=3D"100%" =
ALIGN=3D"CENTER">
<TR VALIGN=3D"MIDDLE">
<TD NOWRAP ALIGN=3D"CENTER"><SPAN CLASS=3D"MATH"><B>H</B> =3D =
<B>U</B><IMG
WIDTH=3D"13" HEIGHT=3D"28" ALIGN=3D"MIDDLE" BORDER=3D"0"
SRC=3D"img3.png"
ALT=3D"$\displaystyle \Lambda$"><B>U</B><SUP>T</SUP></SPAN></TD>
<TD NOWRAP CLASS=3D"eqno" WIDTH=3D"10" ALIGN=3D"RIGHT">
</TD></TR>
</TABLE></DIV>
<BR CLEAR=3D"ALL"><P></P>
where the diagonal matrix <!-- MATH
$\mathbf{\Lambda}$
-->
<SPAN CLASS=3D"MATH"><IMG
WIDTH=3D"14" HEIGHT=3D"14" ALIGN=3D"BOTTOM" BORDER=3D"0"
SRC=3D"img4.png"
ALT=3D"$ \Lambda$"></SPAN> contains the eigenvalues <!-- MATH
$\lambda _{k}$
-->
<SPAN CLASS=3D"MATH"><IMG
WIDTH=3D"19" HEIGHT=3D"28" ALIGN=3D"MIDDLE" BORDER=3D"0"
SRC=3D"img5.png"
ALT=3D"$ \lambda_{{k}}^{}$"></SPAN>
and <!-- MATH
$\mathbf{U}=3D(\mathbf{u}_1,\ldots ,\mathbf{u}_{n})$
-->
<SPAN CLASS=3D"MATH"><B>U</B> =3D =
(<B>u</B><SUB>1</SUB>,...,<B>u</B><SUB>n</SUB>)</SPAN> contains the =
eigenvectors.
<P>
For <!-- MATH
$\mathbf{H}$
-->
<SPAN CLASS=3D"MATH"><B>H</B></SPAN> symmetric and real, the eigenvalues =
<!-- MATH
$\lambda_{k}$
-->
<SPAN CLASS=3D"MATH"><IMG
WIDTH=3D"19" HEIGHT=3D"28" ALIGN=3D"MIDDLE" BORDER=3D"0"
SRC=3D"img5.png"
ALT=3D"$ \lambda_{{k}}^{}$"></SPAN> are real and the
eigenvectors associated to different eigenvalues are orthogonal, that is =
<!-- MATH
$\mathbf{U}^{\mathrm{T}}
\mathbf{U} =3D \mathbf{I}$
-->
<SPAN CLASS=3D"MATH"><B>U</B><SUP>T</SUP><B>U</B> =3D <B>I</B></SPAN>.=20
<P>
Using the eigenvalue decomposition of the Hessian <!-- MATH
$f''
=3D\mathbf{U\Lambda U^{\mathrm{T}}}$
-->
<SPAN CLASS=3D"MATH"><I>f''</I> =3D <B>U</B><IMG
WIDTH=3D"14" HEIGHT=3D"14" ALIGN=3D"BOTTOM" BORDER=3D"0"
SRC=3D"img4.png"
ALT=3D"$ \Lambda$"><B>U</B><SUP>T</SUP></SPAN>, we obtain from the =
Taylor series
<P>
<BR> <HR>
<!--Table of Child-Links-->
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<UL CLASS=3D"ChildLinks">
<LI><A NAME=3D"tex2html3"
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<DIV CLASS=3D"navigation"><HR>
<IMG WIDTH=3D"63" HEIGHT=3D"24" ALIGN=3D"BOTTOM" BORDER=3D"0" =
ALT=3D"previous"
SRC=3D"file:///C|/Programme/latex2html/icons/prev_g.png">=20
<IMG WIDTH=3D"26" HEIGHT=3D"24" ALIGN=3D"BOTTOM" BORDER=3D"0" ALT=3D"up"
SRC=3D"file:///C|/Programme/latex2html/icons/up_g.png">=20
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<IMG WIDTH=3D"37" HEIGHT=3D"24" ALIGN=3D"BOTTOM" BORDER=3D"0" =
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<ADDRESS>
<I>Gaston Gonnet, Institute for Scientific Computing, ETH Z=FCrich, =
Switzerland <BR>
2001-09-05</I>
</ADDRESS>
</BODY>
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Content-Type: application/octet-stream;
name="labels.pl"
Content-Transfer-Encoding: 7bit
Content-Disposition: attachment;
filename="labels.pl"
# LaTeX2HTML 2K.1beta (1.55)
# Associate labels original text with physical files.
1;
# LaTeX2HTML 2K.1beta (1.55)
# labels from external_latex_labels array.
1;
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name="test2.css"
Content-Transfer-Encoding: 7bit
Content-Disposition: attachment;
filename="test2.css"
/* Century Schoolbook font is very similar to Computer Modern Math: cmmi */
.MATH { font-family: "Century Schoolbook", serif; }
.MATH I { font-family: "Century Schoolbook", serif; font-style: italic }
.BOLDMATH { font-family: "Century Schoolbook", serif; font-weight: bold }
/* implement both fixed-size and relative sizes */
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SMALL.TINY { font-size : x-small }
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SMALL.FOOTNOTESIZE { font-size : small }
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BIG.XXLARGE { font-size : x-large }
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BIG.XHUGE { font-size : xx-large }
/* heading styles */
H1 { }
H2 { }
H3 { }
H4 { }
H5 { }
/* mathematics styles */
DIV.displaymath { } /* math displays */
TD.eqno { } /* equation-number cells */
/* document-specific styles come next */
TABLE.equation* { }
DIV.navigation { }
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name="test2.html"
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filename="test2.html"
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<!--Converted with LaTeX2HTML 2K.1beta (1.55)
original version by: Nikos Drakos, CBLU, University of Leeds
* revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan
* with significant contributions from:
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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<HEAD>
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<META NAME=3D"description" CONTENT=3D"test2">
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</HEAD>
<BODY >
<DIV CLASS=3D"navigation">
<IMG WIDTH=3D"63" HEIGHT=3D"24" ALIGN=3D"BOTTOM" BORDER=3D"0" =
ALT=3D"previous"
SRC=3D"file:///C|/Programme/latex2html/icons/prev_g.png">=20
<IMG WIDTH=3D"26" HEIGHT=3D"24" ALIGN=3D"BOTTOM" BORDER=3D"0" ALT=3D"up"
SRC=3D"file:///C|/Programme/latex2html/icons/up_g.png">=20
<A NAME=3D"tex2html1"
HREF=3D"About.html">
<IMG WIDTH=3D"37" HEIGHT=3D"24" ALIGN=3D"BOTTOM" BORDER=3D"0" =
ALT=3D"next"
SRC=3D"file:///C|/Programme/latex2html/icons/next.png"></A> <BR>
<B> Next:</B> <A NAME=3D"tex2html2"
HREF=3D"About.html">About this document ...</A>
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</DIV>
<!--End of Navigation Panel-->
For a symmetric matrix <!-- MATH
$\mathbf{H}\in \mathbb{R}^{n\times n}$
-->
<SPAN CLASS=3D"MATH"><B>H</B> <IMG
WIDTH=3D"13" HEIGHT=3D"27" ALIGN=3D"MIDDLE" BORDER=3D"0"
SRC=3D"img1.png"
ALT=3D"$ \in$"> <IMG
WIDTH=3D"15" HEIGHT=3D"14" ALIGN=3D"BOTTOM" BORDER=3D"0"
SRC=3D"img2.png"
ALT=3D"$ \mathbb {R}$"><SUP>n×n</SUP></SPAN>, we have a
decomposition=20
<P></P>
<DIV ALIGN=3D"CENTER" CLASS=3D"mathdisplay"><!-- MATH
\begin{equation*}
\mathbf{H=3DU\Lambda U^{\mathrm{T}}}
\end{equation*}
-->
<TABLE CLASS=3D"equation*" CELLPADDING=3D"0" WIDTH=3D"100%" =
ALIGN=3D"CENTER">
<TR VALIGN=3D"MIDDLE">
<TD NOWRAP ALIGN=3D"CENTER"><SPAN CLASS=3D"MATH"><B>H</B> =3D =
<B>U</B><IMG
WIDTH=3D"13" HEIGHT=3D"28" ALIGN=3D"MIDDLE" BORDER=3D"0"
SRC=3D"img3.png"
ALT=3D"$\displaystyle \Lambda$"><B>U</B><SUP>T</SUP></SPAN></TD>
<TD NOWRAP CLASS=3D"eqno" WIDTH=3D"10" ALIGN=3D"RIGHT">
</TD></TR>
</TABLE></DIV>
<BR CLEAR=3D"ALL"><P></P>
where the diagonal matrix <!-- MATH
$\mathbf{\Lambda}$
-->
<SPAN CLASS=3D"MATH"><IMG
WIDTH=3D"14" HEIGHT=3D"14" ALIGN=3D"BOTTOM" BORDER=3D"0"
SRC=3D"img4.png"
ALT=3D"$ \Lambda$"></SPAN> contains the eigenvalues <!-- MATH
$\lambda _{k}$
-->
<SPAN CLASS=3D"MATH"><IMG
WIDTH=3D"19" HEIGHT=3D"28" ALIGN=3D"MIDDLE" BORDER=3D"0"
SRC=3D"img5.png"
ALT=3D"$ \lambda_{{k}}^{}$"></SPAN>
and <!-- MATH
$\mathbf{U}=3D(\mathbf{u}_1,\ldots ,\mathbf{u}_{n})$
-->
<SPAN CLASS=3D"MATH"><B>U</B> =3D =
(<B>u</B><SUB>1</SUB>,...,<B>u</B><SUB>n</SUB>)</SPAN> contains the =
eigenvectors.
<P>
For <!-- MATH
$\mathbf{H}$
-->
<SPAN CLASS=3D"MATH"><B>H</B></SPAN> symmetric and real, the eigenvalues =
<!-- MATH
$\lambda_{k}$
-->
<SPAN CLASS=3D"MATH"><IMG
WIDTH=3D"19" HEIGHT=3D"28" ALIGN=3D"MIDDLE" BORDER=3D"0"
SRC=3D"img5.png"
ALT=3D"$ \lambda_{{k}}^{}$"></SPAN> are real and the
eigenvectors associated to different eigenvalues are orthogonal, that is =
<!-- MATH
$\mathbf{U}^{\mathrm{T}}
\mathbf{U} =3D \mathbf{I}$
-->
<SPAN CLASS=3D"MATH"><B>U</B><SUP>T</SUP><B>U</B> =3D <B>I</B></SPAN>.=20
<P>
Using the eigenvalue decomposition of the Hessian <!-- MATH
$f''
=3D\mathbf{U\Lambda U^{\mathrm{T}}}$
-->
<SPAN CLASS=3D"MATH"><I>f''</I> =3D <B>U</B><IMG
WIDTH=3D"14" HEIGHT=3D"14" ALIGN=3D"BOTTOM" BORDER=3D"0"
SRC=3D"img4.png"
ALT=3D"$ \Lambda$"><B>U</B><SUP>T</SUP></SPAN>, we obtain from the =
Taylor series
<P>
<BR> <HR>
<!--Table of Child-Links-->
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<IMG WIDTH=3D"63" HEIGHT=3D"24" ALIGN=3D"BOTTOM" BORDER=3D"0" =
ALT=3D"previous"
SRC=3D"file:///C|/Programme/latex2html/icons/prev_g.png">=20
<IMG WIDTH=3D"26" HEIGHT=3D"24" ALIGN=3D"BOTTOM" BORDER=3D"0" ALT=3D"up"
SRC=3D"file:///C|/Programme/latex2html/icons/up_g.png">=20
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<ADDRESS>
<I>Gaston Gonnet, Institute for Scientific Computing, ETH Z=FCrich, =
Switzerland <BR>
2001-09-05</I>
</ADDRESS>
</BODY>
</HTML>
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