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diff --git a/Master/texmf-dist/doc/latex/bosisio/accenti.pdf b/Master/texmf-dist/doc/latex/bosisio/accenti.pdf Binary files differnew file mode 100644 index 00000000000..06f0ba3914b --- /dev/null +++ b/Master/texmf-dist/doc/latex/bosisio/accenti.pdf diff --git a/Master/texmf-dist/doc/latex/bosisio/graphfig.html b/Master/texmf-dist/doc/latex/bosisio/graphfig.html new file mode 100644 index 00000000000..ed228a79368 --- /dev/null +++ b/Master/texmf-dist/doc/latex/bosisio/graphfig.html @@ -0,0 +1,267 @@ +<HTML> + +<!------------------------------------------------------------------------> + +<HEAD> +<TITLE>Package graphfig</TITLE> +</HEAD> +<BODY > + +<!------------------------------------------------------------------------> +<P> + +<H1 ALIGN="CENTER"> +Package <TT>graphfig</TT><BR> +<SMALL> +This is version 2.0, last revised 1997/15/12; documentation date 1997/15/12 +</SMALL> +</H1> + +<P ALIGN="CENTER"> +<STRONG> +Author: <I>F. Bosisio</I><BR> +<SMALL> +E-mail: <A HREF="MAILTO:bosisio@mate.polimi.it"> + <TT>bosisio@mate.polimi.it</TT> + </A><BR> +Web page: <A HREF="http://ftp.mate.polimi.it/~bosisio/LaTeX"> + <TT>http://ftp.mate.polimi.it/~bosisio/LaTeX</TT> + </A><BR> +CTAN location: <A HREF="http://www.tex.ac.uk/tex-archive/macros/latex/contrib/supported/bosisio/"> + <TT>CTAN:macros/latex/contrib/supported/bosisio/</TT> + </A> +</SMALL> +</STRONG> +</P> + +<P ALIGN="LEFT"></P> + +<!------------------------------------------------------------------------> +<P> + +<H3>Abstract</H3> +<DIV> +Documentation for the package <TT>graphfig</TT>. +</DIV> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H2>Table of contents</H2> + +<P> +<UL> <!-- Beginning of list --> + <LI><A HREF="#SECTION01">Introduction</A> + <LI><A HREF="#SECTION02">Required packages</A> + <LI><A HREF="#SECTION03">The options</A> + <LI><A HREF="#SECTION04">The <TT>Figure</TT> environment and its relatives</A> + <UL> <!-- Beginning of sublist --> + <LI><A HREF="#SECTION04a">The <TT>graphfile</TT> command</A> + <LI><A HREF="#SECTION04b">Sub-figures</A> + </UL> <!-- End of sublist --> +</UL> <!-- End of list --> +</P> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H2> +<A NAME="SECTION01">Introduction</A> +</H2> + +<P> +This package provides some commands to make the use of graphic files +in LaTeX simpler. +</P> + +<P> +It declares the ``<TT>Figure</TT>'' environment (capitalized!) and the two +commands ``<TT>\graphfile</TT>'' and ``<TT>\graphfile*</TT>''. +Combining this commands, it is possible to include graphic files in a +LaTeX document very simply. +</P> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H2> +<A NAME="SECTION02">Required packages</A> +</H2> + +<P> +This package uses the ``<TT>\includegraphics*</TT>'' command defined in +the standard <TT>graphics</TT> package. +Moreover, it uses the package <TT>subfigure</TT> when the +<A HREF="#SECTION03"><TT>subfigure</TT> option</A> is specified, and the +<TT>float</TT> package if the <A HREF="#SECTION03"><TT>AllowH</TT> option</A> +is used. +</P> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H2> +<A NAME="SECTION03">The options</A> +</H2> + +<P> +At now, two options are available: ``<TT>subfigure</TT>'' and +``<TT>AllowH</TT>''. +</P> + +<P> +The ``<TT>subfigure</TT>'' option allow the use of sub-figures inside a +<A HREF="#SECTION04"><TT>Figure</TT> environment</A>, in order to place +multiple pictures in a single LaTeX figure (cfr. the <TT>subfigure</TT> +standard package). +</P> + +<P> +The ``<TT>AllowH</TT>'' option allow the use of the ``<TT>H</TT>'' float +specifier for the <A HREF="#SECTION04"><TT>Figure</TT> environment</A>, +in order to place the figure exaclty where the command is placed +(cfr. the <TT>float</TT> standard package). +</P> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H2> +<A NAME="SECTION04">The <TT>Figure</TT> environment and its relatives</A> +</H2> + +<P> +The ``<TT>Figure</TT>'' environment (capitalized!) is somewhat different from +the standard LaTeX ``<TT>figure</TT>'' environment: besides an optional +argument used to specify the placement parameters (which now defaults to +``<TT>[htbp]</TT>''), it has a mandatory agrument specifying the ``caption'' +and another optional argument, used as a ``label'' for cross-referencies: +<PRE> + \begin{Figure}[<htbpH>]{<caption>}[<label>] + ... + \end{Figure} +</PRE> +</P> + +<P> +The use of the ``<TT>H</TT>'' specifier (i.e. ``I want my float here!'') is +possible only if the <A HREF="#SECTION03">``<TT>AllowH</TT>'' option</A> has +been specified. +</P> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H3> +<A NAME="SECTION04a">The <TT>graphfile</TT> command</A> +</H3> + +<P> +Inside the ``<TT>Figure</TT>'' environment, are available the commands: +<PRE> + \graphfile[<width>]{<file>}[<sub-caption>] + \graphfile*[<heigth>]{<file>}[<sub-caption>] +</PRE> +which are a simplified version of the ``<TT>\includegraphics*</TT>'' +command (which is automatically included by this package; see the +<TT>graphics</TT> package for reference), since you don't have to worry +about scaling: the mandatory argument is the name of the graphic file to +include, whereas the first optional argument specifies the desired width +(in the non *-form) or heigth (in the *-form) of the figure as a fraction +of ``<TT>\linewidth</TT>'' (e.g. ``|50|'' means +``<TT>.50\linewidth</TT>'', i.e. half a line! ), so no unit of measure +(as ``<TT>cm</TT>'' or ``<TT>pt</TT>'') is required. +</P> + +<P> +Moreover, since the ``*-form'' of ``<TT>\includegraphics</TT>'' is used, +the regions outside the bounding-box of postscript files are not drawn. +</P> + +<P> +Another advantage of the combined use of the +<A HREF="#SECTION04">``<TT>Figure</TT>'' environment</A> and the +``<TT>\graphfile</TT>'' commands is that the picture is automatically +centered horizontally, so no ``<TT>\centering</TT>'' or similar +declartion is required. +<PRE> + \begin{Figure}[<htbpH>]{<caption>}[<label>] + \graphfile[<width>]{<file>} + \end{Figure} +</PRE> +</P> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H3> +<A NAME="SECTION04b">Sub-figures</A> +</H3> + +<P> +If you want to include more than one file in a single figure, you may +specify <A HREF="#SECTION03">the ``<TT>subfigure</TT>'' option</A>, which +includes the <TT>subfigure</TT> package and provides the authomatic +placement of a sub-caption below each picture. +</P> + +<P> +If the ``<TT>subfigure</TT>'' option is not specified, multiple graphs are +still allowed but no sub-caption will appear. +<PRE> + \graphfile[<width_1>]{<file_1>}[<sub-caption_1>] + ... + \graphfile[<width_N>]{<file_N>}[<sub-caption_N>] +</PRE> +This is a combined version of ``<TT>\subfigure</TT>'' and +``<TT>\includegraphics*</TT>'' (see the <TT>subfigure</TT> and +<TT>graphics</TT> packages for reference): +the last optional argument specify a ``caption'' for the sub-figure under +consideration, while the first two arguments work exactly like as described +above in the case of one only picture (indeed, you can use the last optional +argument even if the <TT>subfigure</TT> option was not specified, in which +case it is simply ignored). +</P> + +<P> +Each individual caption is printed preceded by a bracketed letter, which is +the sub-figure counter and is printed even if no caption is specified. +Using only a series of ``<TT>\graphfile[...]{...}[...]</TT>'' commands +inside a ``<TT>Figure</TT>'' environment provides an equal spacing beetween +the pictures and around them, without the need for any extra command. +</P> + +<P> +Finally, if a ``<TT><label></TT>'' was specified as the last optional +argument to the <A HREF="#SECTION04">``<TT>Figure</TT>'' environment</A>, +you can reference to each individual sub-figure by the labels +``<TT><label>:a</TT>'', ``<TT><label>:b</TT>'', and so on, without +the need for declaring them. +<PRE> + \begin{Figure}[<htbpH>]{<caption>}[<label>] + \graphfile[<width_1>]{<file_1>}[<sub-caption_1>] + \graphfile[<width_2>]{<file_2>}[<sub-caption_2>] + : + : + \end{Figure} +</PRE> +</P> + +<HR><BR> +<!------------------------------------------------------------------------> + +<ADDRESS> +<I>Francesco Bosisio</I><BR> +E-mail: <A HREF="MAILTO:bosisio@mate.polimi.it"> + <TT>bosisio@mate.polimi.it</TT> + </A><BR> +Web page: <A HREF="http://ftp.mate.polimi.it/~bosisio/LaTeX"> + <TT>http://ftp.mate.polimi.it/~bosisio/LaTeX</TT> + </A> +</ADDRESS> + +<!------------------------------------------------------------------------> + +</BODY> +</HTML> + diff --git a/Master/texmf-dist/doc/latex/bosisio/index.html b/Master/texmf-dist/doc/latex/bosisio/index.html new file mode 100644 index 00000000000..496d9a4ebfc --- /dev/null +++ b/Master/texmf-dist/doc/latex/bosisio/index.html @@ -0,0 +1,274 @@ +<HTML> + +<!-- Preamble --> + +<HEAD> +<TITLE>LaTeX packages by F. Bosisio</TITLE> +</HEAD> + +<!-- Begin document body --> + +<BODY BGCOLOR=white> +<HR> <!-- Horizontal line --> + +<P ALIGN=center> +<!-- <IMG SRC="title.gif" ALT="Bosisio's LaTeX packages online"> --> +<H1>Bosisio's LaTeX packages</H1> +</P> + +<P> +This page describes the LaTeX packages developed and mantained<BR> +by F. Bosisio at the "Politecnico di Milano", Italy. +</P> + +<P> +For informations on the whole LaTeX packages see any +<STRONG>CTAN</STRONG> archive, like +<A HREF="http://www.tex.ac.uk/tex-archive/help/Catalogue/ctindex.html"> +http://www.tex.ac.uk</A> +</P> + +<P> +At now the available packages are +<DL COMPACT> + <DT> <A HREF="#mathenv">mathenv</A> + <DD> Extended and more powerful math-environments + <!-- Next item --> + <DT> <A HREF="#mathcmd">mathcmd</A> + <DD> Extended math-mode commands + <!-- Next item --> + <DT> <A HREF="#sobolev">sobolev</A> + <DD> Commands to deal with Sobolev and Hilbert spaces + <!-- Next item --> + <DT> <A HREF="#graphfig">graphfig</A> + <DD> Simple and powerful way of using graphics files inside figures + <!-- Next item --> + <DT> <A HREF="#dblfont">dblfont</A> + <DD> An easy way to define blackboard-bold letters + <!-- Next item --> + <DT> <A HREF="#accenti">accenti</A> + <DD> This package is only available here and <EM>not</EM> in the CTAN + archive, since its only aim is to simplify the usage of accents + in the Italian language. +</DL> +</P> + +<EM>If you have any suggestions, find any bugs or make any improvment +on any of my packages, please let me know about it</EM> +by sending an E-mail at the following address: +<A HREF="MAILTO:bosisio@mate.polimi.it">bosisio@mate.polimi.it</A> +</P> + +<HR> <!-- Horizontal line --> + +<!-- Next section --> + +<H1><A NAME="mathenv">The "mathenv" package</H1> + +<P> +This package provides some environments and commands which I found very +useful in math-mode. +</P> + +<P> +The new math environments are used to make multi-line formulas and systems +of equations, both numbered or unnumbered. +Also the standard <EM>equation</EM> environment may be redefined so that +it has the same optional argument as the other ones (this optional argument +is simply a label for cross-referencies). +</P> + +<P> +Also a very simple way of making adjustable-size matching braces is +available. +</P> + +<P> +For more informations, see the on-line +<A HREF="mathenv.html">documentation</A> or +<A HREF="mathenv.ps">download</A> the documentation file. +</P> + +<P> +The source file is <A HREF="mathenv.dtx">mathenv.dtx</A>, which also +deserves as an installation driver: simply run it through LaTeX in order +to get the corresponding <A HREF="STY/mathenv.sty">mathenv.sty</A> file +and also the documentation driver <SAMP>mathenv.drv</SAMP> (which you +must run throught LaTeX to get the documentation). +</P> + +<HR> <!-- Horizontal line --> + +<!-- Next section --> + +<H1><A NAME="mathcmd">The "mathcmd" package</H1> + +<P> +This package provides some commands which I found very useful in math-mode. +</P> + +<P> +The new commands include derivatives, vectors operators, arrow-limits, +integrals and sums. +</P> + +<P> +For more informations, see the on-line +<A HREF="mathcmd.html">documentation</A> or +<A HREF="mathcmd.ps">download</A> the documentation file. +</P> + +<P> +The source file is <A HREF="mathcmd.dtx">mathcmd.dtx</A>, which also +deserves as an installation driver: simply run it through LaTeX in order +to get the corresponding <A HREF="STY/mathcmd.sty">mathcmd.sty</A> file +and also the documentation driver <SAMP>mathcmd.drv</SAMP> (which you +must run throught LaTeX to get the documentation). +</P> + +<HR> <!-- Horizontal line --> + +<!-- Next section --> + +<H1><A NAME="sobolev">The "sobolev" package</H1> + +<P> +This package provides some commands which I found very useful when +dealing with higher Mathematics that envolves the use of Hilbert and +Sobolev spaces. +</P> + +<P> +The new commands include norm, semi-norm, scalar products, crochet symbols, +besides the various Sobolev spaces. +</P> + +<P> +For more informations, see the on-line +<A HREF="sobolev.html">documentation</A> or +<A HREF="sobolev.ps">download</A> the documentation file. +</P> + +<P> +The source file is <A HREF="sobolev.dtx">sobolev.dtx</A>, which also +deserves as an installation driver: simply run it through LaTeX in order +to get the corresponding <A HREF="STY/sobolev.sty">sobolev.sty</A> file +and also the documentation driver <SAMP>sobolev.drv</SAMP> (which you +must run throught LaTeX to get the documentation). +</P> + +<HR> <!-- Horizontal line --> + +<!-- Next section --> + +<H1><A NAME="graphfig">The "graphfig" package</H1> + +<P> +This package provides some very powerful commands to deal with figures +and graphics files in LaTeX. +</P> + +<P> +It provides a new <SAMP>Figure</SAMP> environment and a +<SAMP>\graphfile</SAMP> command: the combined use of these authomatically +produce a correct centering of the graph(s) with respect to the page. +Moreover, subfigures can be handled in the same way and hard-to-discover +errors (such as a <SAMP>\label</SAMP> preceding a <SAMP>\caption</SAMP>) +are eliminated. +</P> + +<P> +For more informations, see the on-line +<A HREF="graphfig.html">documentation</A> or +<A HREF="graphfig.ps">download</A> the documentation file. +</P> + +<P> +The source file is <A HREF="graphfig.dtx">graphfig.dtx</A>, which also +deserves as an installation driver: simply run it through LaTeX in order +to get the corresponding <A HREF="STY/graphfig.sty">graphfig.sty</A> file +and also the documentation driver <SAMP>graphfig.drv</SAMP> (which you +must run throught LaTeX to get the documentation). +</P> + +<HR> <!-- Horizontal line --> + +<!-- Next section --> + +<H1><A NAME="dblfont">The "dblfont" package</H1> + +<P> +This package provides a simple way to define new commands whose goal +is to print a letter in the blackboard-bold font. +</P> + +<P> +For more informations, see the +<A HREF="dblfont.ps">documentation</A> +file. +</P> + +<P> +The source file is <A HREF="dblfont.dtx">dblfont.dtx</A>, which also +deserves as an installation driver: simply run it through LaTeX in order +to get the corresponding <A HREF="STY/dblfont.sty">dblfont.sty</A> file +and also the documentation driver <SAMP>dblfont.drv</SAMP> (which you +must run throught LaTeX to get the documentation). +</P> + +<HR> <!-- Horizontal line --> + +<!-- Next section --> + +<H1><A NAME="accenti">The package "accenti"</H1> + +<P> +This package provides a shorter version of the accents-making commands +of LaTeX. +They were explicitly build for Italian language, so that only the accents +that occurr in it are handled (the standard LaTeX accents commands still +remains available, though): for this reason this was <EM>not</EM> made a +standard package available throught CTAN archives. +</P> + +<P> +Nevertheless, I let it here since italian writers may find it useful, +expecially if they work with an italian keyboard (i.e. one without +a key for the backquote character). +In such a case, a suitable option is given to let LaTeX understand the +extended ASCII characters that represents accented letters: however, +if you use it remember that this may fail on some systems (e.g. when +copying the file on a UNIX machine). +</P> + +<P> +For more informations, see the +<A HREF="accenti.ps">documentation</A> +file. +</P> + +<P> +The source file is <A HREF="accenti.dtx">accenti.dtx</A>, which also +deserves as an installation driver: simply run it through LaTeX in order +to get the corresponding <A HREF="STY/accenti.sty">accenti.sty</A> file +and also the documentation driver <SAMP>accenti.drv</SAMP> (which you +must run throught LaTeX to get the documentation). +</P> + + +<HR> <!-- Horizontal line --> + +<ADDRESS> +F. Bosisio / +Politecnico di Milano (Italy) / +bosisio@mate.polimi.it/ +revised April 1998 +</ADDRESS> + +<HR> <!-- Horizontal line --> +</BODY> + +<!-- End document body --> + +</HTML> + diff --git a/Master/texmf-dist/doc/latex/bosisio/makedoc b/Master/texmf-dist/doc/latex/bosisio/makedoc new file mode 100644 index 00000000000..dfebbcaa5a5 --- /dev/null +++ b/Master/texmf-dist/doc/latex/bosisio/makedoc @@ -0,0 +1,103 @@ + ######################################################### + # # + # FILE makedoc # + # # + # Copyright(C) by F. Bosisio, 6 September 1997 # + # # + # E-mail: bosisio@mate.polimi.it # + # # + ######################################################### +# +# If there isn't a command-line parameter, ask for a filename +# +if test $1 +then + FILE=$1 +else + echo ' Insert the filename you want to process with makedoc' + read + FILE=$REPLY +fi +# +# Strip the ".dtx" extension (if present) and check that the file exists +# +FILE=`basename $FILE .dtx` +test -f $FILE.dtx || exit +# +# Run LaTeX on the ".dtx" file to generate the ".sty" and ".drv" files +# +echo +echo " Running LaTeX on $FILE.dtx ..." +echo +latex $FILE.dtx || exit +# +# Run LaTeX once to generate the ".aux", ".idx" and ".glo" files +# +echo +echo " Running LaTeX on $FILE.drv ..." +echo +latex $FILE.drv || exit +# +# Run BibTeX to generate the bibliography file (".bbl") +# +if grep bibdata $FILE.aux +then + echo + echo " Running BibTeX on $FILE.aux ..." + echo + bibtex $FILE || exit + rm $FILE.blg +fi +# +# Run MakeIndex on the index file +# +if test $FILE.idx +then + echo + echo " Running MakeIndex on $FILE.idx ..." + echo + makeindex -s gind.ist -o $FILE.ind $FILE.idx || exit + rm $FILE.ilg +fi +# +# Run MakeIndex on the glossary file +# +if test $FILE.glo +then + echo + echo " Running MakeIndex on $FILE.glo ..." + echo + makeindex -s gglo.ist -o $FILE.gls $FILE.glo || exit + rm $FILE.ilg +fi +# +# Rerun LaTeX to read the ".bbl", ".ind" and ".gls" files +# +echo +echo ' Re-running LaTeX on $FILE.drv ...' +echo +latex $FILE.drv +# +# Rerun LaTeX again to get the cross-references right +# +if grep "Rerun to get cross-references right" makedoc.log +then + echo + echo ' Re-running LaTeX again on $FILE.drv ...' + echo + latex $FILE.drv +fi +rm $FILE.drv $FILE.log $FILE.aux $FILE.ind $FILE.glo $FILE.bbl $FILE.idx $FILE.gls +# +# Show the generated output +# +xdvi $FILE.dvi +# +# Run DviPs to produce the postscript file +# +echo +echo ' Running DviPs ...' +echo +dvips $FILE.dvi +rm $FILE.dvi + diff --git a/Master/texmf-dist/doc/latex/bosisio/mathcmd.html b/Master/texmf-dist/doc/latex/bosisio/mathcmd.html new file mode 100644 index 00000000000..a771a6c26b6 --- /dev/null +++ b/Master/texmf-dist/doc/latex/bosisio/mathcmd.html @@ -0,0 +1,236 @@ +<HTML> +<HEAD> +<TITLE>Package mathcmd</TITLE> +</HEAD> +<BODY > + +<H1 ALIGN="CENTER"> +Package <TT>mathcmd</TT><BR> +<SMALL> +This is version 2.0, last revised 1997/12/20; documentation date 1997/12/20 +</SMALL> +</H1> + +<P ALIGN="CENTER"> +<STRONG> +Author: <I>F. Bosisio</I><BR> +<SMALL> +E-mail: <A HREF="MAILTO:bosisio@mate.polimi.it"> + <TT>bosisio@mate.polimi.it</TT> + </A><BR> +Web page: <A HREF="http://ftp.mate.polimi.it/~bosisio/LaTeX"> + <TT>http://ftp.mate.polimi.it/~bosisio/LaTeX</TT> + </A><BR> +CTAN location: <A HREF="http://www.tex.ac.uk/tex-archive/macros/latex/contrib/supported/bosisio/"> + <TT>CTAN:macros/latex/contrib/supported/bosisio/</TT> + </A> +</SMALL> +</STRONG> +</P> + +<P ALIGN="LEFT"> +<!------------------------------------------------------------------------> +<P> + +<H3>Abstract:</H3> +<DIV> +Documentation for the package <TT>mathcmd</TT>. +</DIV> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H2>Table of contents</H2> + +<P> +<UL> <!-- Beginning of list --> + <LI><A HREF="#SECTION01">Introduction</A> + <LI><A HREF="#SECTION02">The options</A> + <LI><A HREF="#SECTION03">Math-mode commands</A> + <UL> <!-- Beginning of sublist --> + <LI><A HREF="#SECTION03a">The <TT>text</TT> command</A> + <LI><A HREF="#SECTION03b">Commands for doing integrals</A> + <LI><A HREF="#SECTION03c">Commands for making sums</A> + <LI><A HREF="#SECTION03d">Derivatives symbols</A> + <LI><A HREF="#SECTION03e">Arrow-limits commands</A> + <LI><A HREF="#SECTION03f">Vector-operators commands</A> + </UL> <!-- End of sublist --> +</UL> <!-- End of list --> +</P> + +<HR><BR> +<!------------------------------------------------------------------------> +<P> + +<H2> +<A NAME="SECTION01">Introduction</A> +</H2> +This package provides some useful math-commands which are simpler to use and +prettier then their standard LaTeX counterpart. + +<P> +In particular <A HREF="#SECTION03b">the ``<TT>\d</TT>'' command</A> is +redefined, so care should be taken, expecially when including this package +in an already existent LaTeX file. + +<P> +The original work of ``<TT>\d</TT>'' (i.e. place a dot under its argument) +is now done by the ``<TT>\UnderDot</TT>'' command. + +<H2> +<A NAME="SECTION02">The options</A> +</H2> + +<P> +At now, six options are available with the <TT>mathcmd</TT> package, which +comes out in matched pairs. + +<P> +The ``<TT>ThreeSubscrSum</TT>'' and ``<TT>TwoSubscrSum</TT>'' options control +the placement of subscripts for +<A HREF="#SECTION03c">the ``<TT>\Sum</TT>'' command</A>: the latter +(which is the default) puts the index under the simbol toghether with the +starting point, while the former puts the index on the lower right corner. + +<P> +The ``<TT>ProdVettWedge</TT>'' and ``<TT>ProdVettTimes</TT>'' options +select which symbol is to be used for the +<A HREF="#SECTION03f"><EM>vector product</EM></A>: the first one uses +a ``<TT>\wedge</TT>'' (default), whilst the second uses a ``<TT>\times</TT>". + +<P> +Finally, the ``<TT>VectOpStr</TT>'' and ``<TT>VectOpSymb</TT>'' options +controls whether the <A HREF="#SECTION03f">vector-operator commands</A> +``<TT>\Grad</TT>'', ``<TT>\Div</TT>'' and ``<TT>\Rot</TT>'' should produce +a roman string (default) or a ``<TT>\nabla</TT>" symbol followed by an +operator, respectively. + +<H2> +<A NAME="SECTION03">Math-mode commands</A> +</H2> + +<P> +The <TT>mathcmd</TT> package defines a number of math-mode commands. + +<H3> +<A NAME="SECTION03a">The <TT>text</TT> command</A> +</H3> + +<P> +The ``<TT>\text...</TT>'' command is defined to be equivalent to +``<TT>\mbox</TT>'' (except when the ``<TT>amstext</TT>" package is also used, +since this package already defines this command in a better way). + +<P> +It is intended for inserting pieces of text in a formula. + +<H3> +<A NAME="SECTION03b">Commands for doing integrals</A> +</H3> + +<P> +The ``<TT>\Int</TT>'' (capitalized) differs from the LaTeX command +``<TT>\int</TT>'' in that it is always printed in <TT>displaystyle</TT> and +if it has only a subscript, this is somewhat lowered so that it looks better. +<PRE> + \Int_{...}^{...} ... \d{...} +</PRE> + +<P> +The <A HREF="#SECTION01">``<TT>\d...</TT>'' command</A> is for making the +differential symbol at the end of integrals: it simply prints a ``<TT>d</TT>'' +followed by its argument and preceded by a little space, which seems prettier. + +<H3> +<A NAME="SECTION03c">Commands for making sums</A> +</H3> + +<P> +The ``<TT>\Sum{...=...,...}</TT>'' command works differently, depending on +which option between ``<A HREF="#SECTION02"><TT>TwoSubscrSum</TT></A>'' +(default) and ``<A HREF="#SECTION02"><TT>ThreeSubscrSum</TT></A>'' has been +specified. + +<P> +In the first case, it expands to +``<TT>\displaystyle\sum_{...}={...}^{...}</TT>'', whereas in the second +case the second and third argument are treated in the same way as before +(i.e. as a subscript and superscript, respectively), but the first argument +(the one before the ``='') is placed near the lower-left edge of the +``<TT>\sum</TT>'' symbol and the ``='' is not printed. + +<P> +There is also a ``<TT>\SUM...</TT>'' command which is useful when only a +subscript is desired, irrespectively of the option specified: in fact, it +is equivalent to ``<TT>\displaystyle\sum_...</TT>". + +<H3> +<A NAME="SECTION03d">Derivatives symbols</A> +</H3> + +<P> +The commands ``<TT>\DerTot{...}{...}</TT>'', ``<TT>\DerPar{...}{...}</TT>'' and +``<TT>\DerNorm{...}</TT>'' generate the symbols of total derivative, partial +derivative and normal derivative, respectively. + +<P> +In other words, they are the same as: +<PRE> + \displaystyle\frac{d...}{d...} + \displaystyle\frac{\partial ...}{\partial ...} + \displaystyle\frac{\partial ...}{\partial n} +</PRE> + +<H3> +<A NAME="SECTION03e">Arrow-limits commands</A> +</H3> + +<P> +The command ``<TT>\TendsTo[...,...]</TT>'' generates a right-arrow with +optionally an underscript wich is another smaller right-arrow between the +two comma-separeted arguments inside the square brackets. + +<P> +For example, the command ``<TT>f(x) \TendsTo[x,0] 1</TT>'' generates +the following output: +<PRE> + f(x) ----------> 1 + x --> 0 +</PRE> + +<H3> +<A NAME="SECTION03f">Vector-operators commands</A> +</H3> + +<P> +Finally, the commands ``<TT>\Grad</TT>'', ``<TT>\Div</TT>'' and +``<TT>\Rot</TT>'' generates the strings ``grad'', ``div'' and ``rot'' +in roman type and with small spaces added before and after, if the +``<A HREF="#SECTION02">VectOpStr</A>'' option is in effect (default). +If, instead, the option ``<A HREF="#SECTION02">VectOpSymb</A>'' was specified, +they generate ``<TT>\nabla</TT>", ``<TT>\nabla\cdot</TT>'' and +``<TT>\nabla\ProdVett</TT>'' respectively. + +<P> +The command ``<TT>\ProdVett</TT>'' is intended for making the symbol of +vector product, and evaluates to ``<TT>\times</TT>'' with the option +``<A HREF="#SECTION02">ProdVettTimes</A>'' and to ``<TT>\wedge</TT>'' +with the (default) option ``<A HREF="#SECTION02">ProdVettWedge</A>''. + +<HR><BR> +<!------------------------------------------------------------------------> + +<ADDRESS> +<I>Francesco Bosisio</I><BR> +E-mail: <A HREF="MAILTO:bosisio@mate.polimi.it"> + <TT>bosisio@mate.polimi.it</TT> + </A><BR> +Web page: <A HREF="http://ftp.mate.polimi.it/~bosisio/LaTeX"> + <TT>http://ftp.mate.polimi.it/~bosisio/LaTeX</TT> + </A> +</ADDRESS> + +<!------------------------------------------------------------------------> + +</BODY> +</HTML> diff --git a/Master/texmf-dist/doc/latex/bosisio/mathenv.html b/Master/texmf-dist/doc/latex/bosisio/mathenv.html new file mode 100644 index 00000000000..6caa594a577 --- /dev/null +++ b/Master/texmf-dist/doc/latex/bosisio/mathenv.html @@ -0,0 +1,414 @@ +<HTML> + +<!------------------------------------------------------------------------> + +<HEAD> +<TITLE>Package mathenv</TITLE> +</HEAD> +<BODY > + +<!------------------------------------------------------------------------> +<P> + +<H1 ALIGN="CENTER"> +Package <TT>mathenv</TT><BR> +<SMALL> +This is version 2.2, last revised 1998/02/04; documentation date 1998/02/06. +</SMALL> +</H1> + +<P ALIGN="CENTER"> +<STRONG> +Author: <I>F. Bosisio</I><BR> +<SMALL> +E-mail: <A HREF="MAILTO:bosisio@mate.polimi.it"> + <TT>bosisio@mate.polimi.it</TT> + </A><BR> +Web page: <A HREF="http://ftp.mate.polimi.it/~bosisio/LaTeX"> + <TT>http://ftp.mate.polimi.it/~bosisio/LaTeX</TT> + </A><BR> +CTAN location: <A HREF="http://www.tex.ac.uk/tex-archive/macros/latex/contrib/supported/bosisio/"> + <TT>CTAN:macros/latex/contrib/supported/bosisio/</TT> + </A> +</SMALL> +</STRONG> +</P> + +<P ALIGN="LEFT"></P> + +<!------------------------------------------------------------------------> +<P> + +<H3>Abstract</H3> +<DIV> +Documentation for the package <TT>mathenv</TT>. +</DIV> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H2>Table of contents</H2> + +<P> +<UL> <!-- Beginning of list --> + <LI><A HREF="#SECTION01">Introduction</A> + <LI><A HREF="#SECTION02">The options</A> + <LI><A HREF="#SECTION03">Math-mode environments</A> + <UL> <!-- Beginning of sublist --> + <LI><A HREF="#SECTION03a">The <TT>Equation</TT> environment</A> + <LI><A HREF="#SECTION03b">The <TT>MultiLine</TT> equation environment</A> + <LI><A HREF="#SECTION03c">The <TT>System</TT> environment</A> + <LI><A HREF="#SECTION03d">The <TT>EqSystem</TT> environment</A> + </UL> <!-- End of sublist --> + <LI><A HREF="#SECTION04">Math-mode commands</A> +</UL> <!-- End of list --> +</P> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H2> +<A NAME="SECTION01">Introduction</A> +</H2> + +<P> +This package provides some useful math-commands and enviroments, which +are simpler to use and prettier then their standard LaTeX counterpart. +</P> + +<P> +In particular some commands are redefined +(see <A HREF="#SECTION02">next section</A> if you don't want them to be +redefined), so care should be taken, expecially when including this package +in an already existent LaTeX file. + +<P> +The <A HREF="#SECTION04">redefined commands</A> are:<BR> +<TT>\(</TT>, <TT>\)</TT>, +<TT>\[</TT>, <TT>\]</TT>, +<TT>\{</TT> and <TT>\}</TT>.<BR> +The effect of ``<TT>\(</TT> ...<TT>\)</TT>'' can still be achieved by +the LaTeX equivalent commands ``<TT>\begin{math} ... \end{math}</TT>'' +or ``<TT>$...$</TT>''. +</P> + +<P> +Similarly, the effect of ``<TT>\[...\]</TT>'' can be achieved by the +LaTeX equivalent commands +``<TT>\begin{displaymath}...\end{displaymath}</TT>'' or +``<TT>$$...$$</TT>''. +</P> + +<P> +The ``<TT>\{</TT>'' and ``<TT>\}</TT>'' commands are the more +error-prone, since one may try to use ``<TT>\left\{</TT>'', which now +is incorrect, because the ``<TT>\{</TT>'' command already contains a +``<TT>\left</TT>'' declaration. +In the rare occasions where a brace of normal size is needed, one can use +the LaTeX commands ``<TT>\lbrace</TT>'' and ``<TT>\rbrace</TT>''. +</P> + +<P> +Also the <A HREF="#SECTION03a">``<TT>equation</TT>'' environment</A> has been +changed, but it is completly compatible with the original definition, so it +should be safe, perhaps except when the first character of the equation is +an open square bracket or it is placed in a moving argument: +in fact, the new version of this command is fragile, and this is true also +for most of the commands defined by this package. +</P> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H2> +<A NAME="SECTION02">The options</A> +</H2> + +<P> +At now, five options are available with the <TT>mathenv</TT> package. +</P> + +<P> +The ``<TT>RedefEquation</TT>''/``<TT>StdEquation</TT>'' and +``<TT>RedefBrackets</TT>''/``<TT>StdBrackets</TT>'' options control +whether the ``<TT>equation</TT>'' environment and the brace commands +``<TT>\(</TT>'', ``<TT>\)</TT>'', ``<TT>\[</TT>'', +``<TT>\]</TT>'', ``<TT>\{</TT>'' and ``<TT>\}</TT>'' should +be redefined or retain their original LaTeX meaning. +</P> + +<P> +More precisely, ``<TT>RedefEquation</TT>'' (default) redefines the +``equation'' environment to have an optional argument (used as a label), +while ``<TT>StdEquation</TT>'' leaves it unchanged. +In the first case, the ``equation'' environment will be equivalent to the +<A HREF="#SECTION03a">``Equation'' environment</A> (capitalized!) described +below, whereas in the second case they will be different. +</P> + +<P> +Similarly, the ``<TT>RedefBrackets</TT>'' option (default) makes the +<A HREF="#SECTION04"> bracket commands</A> to be redefined, whilst +``<TT>StdBrackets</TT>'' leave them their original meaning. +</P> + +<P> +Also a ``<TT>Standard</TT>'' option exists, which amounts to specify both +the ``<TT>StdEquation</TT>'' and ``<TT>StdBrackets</TT>'' options, thus making +the package fully standard, which may be useful when sending your +LaTeX files to someone else. +</P> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H2> +<A NAME="SECTION03">Math-mode environments</A> +</H2> + +<P> +This package provides some math-mode environments, each with a ``*-form'' +which does not generates numbers (or produce sub-numbering). +</P> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H3> +<A NAME="SECTION03a">The <TT>Equation</TT> environment</A> +</H3> + +<P> +The ``<TT>Equation</TT>'' environment has an optional argument which is used +as a label to reference it. +<PRE> + \begin{Equation}[<label>] + ... + \end{Equation} +</PRE> +</P> + +<P> +If the ``<TT>RedefEquation</TT>'' option is in effect (default), then +the ``<TT>equation</TT>'' environment is redefined to have the same optional +argument as ``<TT>Equation</TT>''. +</P> + +<P> +There is also a *-form, which does not generate a number (so this *-form is +really a ``displaymath'' and not an equation, but it has been added for +simmetry and for making it easier to add or remove the number to a formula). +</P> + +<P> +The *-form has an optional argument like the non-* form, which is +disregarded by the environment and is added only for simmetry reasons. +<PRE> + \begin{equation*}[<disregarded-label>] + ... + \end{equation*} +</PRE> +</P> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H3> +<A NAME="SECTION03b">The <TT>MultiLine</TT> equation environment</A> +</H3> + +<P> +The ``<TT>MultiLine</TT>'' environment is intended for formulas that don't +fit on a single line, and so must be broken across lines. +</P> + +<P> +As for the <A HREF="#SECTION03a"><TT>Equation</TT> environment</A> above, +it has an optional argument which is used as a label. +</P> + +<P> +All the lines but the first are automatically indented by the lenght +``<TT>\MultiLineIndent</TT>'', which is rougthly what one expects, but +can be changed at any time by the user with +``<TT>\setlenght\MultiLineIndent{...}</TT>''. +You can also control the alignment of the continuation rows by placing an +optional <TT>&</TT> in the first row: is such a case all the others line +will <EM>not</EM> be indented by ``<TT>\MultiLineIndent</TT>'' but wil behave +<EM>as if</EM> there were an ampersand in front of them (i.e. they will be +left-aligned at the right of the & in the first row). +</P> + +<P> +Each line but the last must end with a ``<TT>\\</TT>'' command +(which can have an optional argument to add some vertical space between +lines). +When the line is broken in the middle (e.g. after a ``+'' sign) and not at +the end (i.e. after a ``='' or similar), the *-form ``<TT>\\*</TT>'' +may be used to indicate the line-break, the difference being in an extra +space added at the beginning of the next line. +The width of a this space defaults to 1em and can be changed by the user +with ``<TT>\setlenght\MultiLineStarIndent{...}</TT>''. +</P> + +<P> +<PRE> + \begin{MultiLine}[<label>] + ... [&]= ... = \\ + = ... + \\* + + ... = \\ + = ... + \end{MultiLine} +</PRE> +</P> + +<P> +Also this environment has a *-form which differs only in that it does not +generate an equation number. +<PRE> + \begin{MultiLine*}[<disregarded-label>] + ... [&]= ... = \\ + = ... + \\* + + ... = \\ + = ... + \end{MultiLine*} +</PRE> +</P> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H3> +<A NAME="SECTION03c">The <TT>System</TT> environment</A> +</H3> + +<P> +The ``<TT>System</TT>'' environment is used for grouping a set of equations +together inside a left brace, with one only equation number. +</P> + +<P> +Again there is an optional argument to indicate a label and each equation +is separated by a ``<TT>\\</TT>'' or ``<TT>\\*</TT>'' command, +as for the <A HREF="#SECTION03b">``<TT>MultiLine</TT>'' environment</A>. +</P> + +<P> +The rows (except the ones ended with the *-form ``<TT>\\*</TT>'') +may optionally contain one ``<TT>&</TT>'', which is usually used when +some text should be added to the equation. +<PRE> + \begin{System}[<label>] + ... = ... [& ...] \\ + ... = ... + \\* + + ... [& ...] \\ + ... = ... [& ...] + \end{System} +</PRE> +</P> + +<P> +A *-form which does not generate any number is also provided. +<PRE> + \begin{System*}[<disregarded-label>] + ... = ... [& ...] \\ + ... = ... + \\* + + ... [& ...] \\ + ... = ... [& ...] + \end{System*} +</PRE> +</P> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H3> +<A NAME="SECTION03d">The <TT>EqSystem</TT> environment</A> +</H3> + +<P> +The ``<TT>EqSystem</TT>'' environment is used for grouping a set of equations +together inside a left brace, each with its own equation number. +</P> + +<P> +Again there is an optional argument to indicate a label and each equation is +separated by a ``<TT>\\</TT>'' or ``<TT>\\*</TT>'' command. +</P> + +<P> +The rows may optionally contain one ``<TT>&</TT>'', which is usually used +when some text should be added to the equation. +<PRE> + \begin{EqSystem}[<label>] + ... = ... [& ...] \\ % (1.1) + ... = ... + \\* % + + ... [& ...] \\ % (1.2) + ... = ... [& ...] % (1.3) + \end{EqSystem} +</PRE> +</P> + +<P> +A *-form is also provided: it differs in that each equation is numbered with +the same number but with a lowercase letter added, i.e. like (1.1a), (1.1b), +etc. instead of (1.1), (1.2) and so on. +<PRE> + \begin{EqSystem*}[<label>] + ... = ... [& ...] \\ % (1.5a) + ... = ... + \\* % + + ... [& ...] \\ % (1.5b) + ... = ... [& ...] % (1.5c) + \end{EqSystem*} +</PRE> +In both cases, if the optional argument is present, each equation can be +referenced by <TT>\ref{<label>:a}</TT>, +<TT>\ref{<label>:b}</TT>, ..., where <TT><label></TT>, +stands for the string used as optional argument. +In the case of the *-form, a reference of the kind +<TT>\ref{<label>}</TT> will print the equation number without +any letter, thus referring to the system as a whole, whereas such a +reference is meaningless (and indeed does not exists) when dealing with +the non *-form. +</P> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H2> +<A NAME="SECTION04">Math-mode commands</A> +</H2> + +<P> +In addition to the previously mentioned environments, the <TT>mathenv</TT> +package defines also some of math-mode commands which considerably simplify +the use of adjustable-size parentheses. +</P> + +<P> +The ``<TT>\(</TT>'', ``<TT>\[</TT>'', ``<TT>\{</TT>'', +``<TT>\)</TT>'', ``<TT>\]</TT>'' and ``<TT>\}</TT>'' generates +the corresponding parenthesis but with a ``<TT>\left</TT>'' or +``<TT>\right</TT>'' declaration (respectively) added, so they must come +in matched pairs or coupled with a ``<TT>\left.</TT>'' or +``<TT>\rigtht.</TT>'' or another adjustable-size delimiter. +</P> + +<HR><BR> +<!------------------------------------------------------------------------> + +<ADDRESS> +<I>Francesco Bosisio</I><BR> +E-mail: <A HREF="MAILTO:bosisio@mate.polimi.it"> + <TT>bosisio@mate.polimi.it</TT> + </A><BR> +Web page: <A HREF="http://ftp.mate.polimi.it/~bosisio/LaTeX"> + <TT>http://ftp.mate.polimi.it/~bosisio/LaTeX</TT> + </A> +</ADDRESS> + +<!------------------------------------------------------------------------> + +</BODY> +</HTML> + diff --git a/Master/texmf-dist/doc/latex/bosisio/sobolev.html b/Master/texmf-dist/doc/latex/bosisio/sobolev.html new file mode 100644 index 00000000000..f354f150347 --- /dev/null +++ b/Master/texmf-dist/doc/latex/bosisio/sobolev.html @@ -0,0 +1,311 @@ +<HTML> + +<!------------------------------------------------------------------------> + +<HEAD> +<TITLE>Package sobolev</TITLE> +</HEAD> +<BODY > + +<!------------------------------------------------------------------------> + +<P> + +<H1 ALIGN="CENTER"> +Package <TT>sobolev</TT><BR> +<SMALL> +This is version 2.2, last revised 1998/02/04; documentation date 1998/02/06. +</SMALL> +</H1> + +<P ALIGN="CENTER"> +<STRONG> +Author: <I>F. Bosisio</I><BR> +<SMALL> +E-mail: <A HREF="MAILTO:bosisio@mate.polimi.it"> + <TT>bosisio@mate.polimi.it</TT> + </A><BR> +Web page: <A HREF="http://ftp.mate.polimi.it/~bosisio/LaTeX"> + <TT>http://ftp.mate.polimi.it/~bosisio/LaTeX</TT> + </A><BR> +CTAN location: <A HREF="http://www.tex.ac.uk/tex-archive/macros/latex/contrib/supported/bosisio/"> + <TT>CTAN:macros/latex/contrib/supported/bosisio/</TT> + </A> +</SMALL> +</STRONG> +</P> + +<P ALIGN="LEFT"></P> + +<!------------------------------------------------------------------------> + +<H3>Abstract:</H3> +<DIV> +Documentation for the package <TT>sobolev</TT>. +</DIV> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H2>Table of contents</H2> + +<P> +<UL> <!-- Beginning of list --> + <LI><A HREF="#SECTION01">Introduction</A> + <LI><A HREF="#SECTION02">The options</A> + <LI><A HREF="#SECTION03">The commands</A> + <UL> <!-- Beginning of sublist --> + <LI><A HREF="#SECTION03a">The <TT>\H</TT> command</A> + <LI><A HREF="#SECTION03b">The <TT>\Hdiv</TT> command</A> + <LI><A HREF="#SECTION03c">The <TT>\L</TT> command</A> + <LI><A HREF="#SECTION03d">The <TT>\W</TT> command</A> + <LI><A HREF="#SECTION03e">The <TT>\D</TT> command</A> + <LI><A HREF="#SECTION03f">The <TT>\Norm</TT> command</A> + <LI><A HREF="#SECTION03g">The <TT>\SemiNorm</TT> command</A> + <LI><A HREF="#SECTION03h">The <TT>\Scalar</TT> command</A> + <LI><A HREF="#SECTION03i">The <TT>\Crochet</TT> command</A> + </UL> <!-- End of sublist --> +</UL> <!-- End of list --> +</P> + +<HR><BR> +<!------------------------------------------------------------------------> + +<H2> +<A NAME="SECTION01">Introduction</A> +</H1> + +<P> +This package provides some commands which are useful when dealing with +Sobolev spaces and their relatives. + +<P> +In particular some commands are redefined, so care should be taken, +expecially when including this package in an already existent LaTeX file. + +<P> +The redefined commands are <TT>\H</TT> and <TT>\L</TT>. +The effect of ``<TT>\H</TT>'' (which is a type of accent) can now be achieved +by the command ``<TT>\HAccent</TT>'', whilst the job of ``<TT>\L</TT>'' +(i.e. print an ``L'' with a superimposed bar) is now done by the command +``<TT>\Lbar</TT>''. + +<H2> +<A NAME="SECTION02">The options</A> +</H2> + +<P> +Two options are available at the moment: <TT>DivInBrackets</TT> and +<TT>DivAsExponent</TT>. +They only affect the output of the ``<TT>\Hdiv</TT>'' command. + +<P> +The firt options (<TT>DivInBrackets</TT>, which is the default) makes +<TT>\Hdiv</TT> behave like ``<TT>H(div;</TT>...<TT>)</TT>'', while the +second one (<TT>DivAsExponent</TT>) makes <TT>\Hdiv</TT> expand to +``<TT>H^{div}(</TT>...<TT>)</TT>''. + +<H1> +<A NAME="SECTION03">The commands</A> +</H1> + +<P> +Most of the subsequent space-generating commands have mandatory arguments to +indicate the type of the space. +Often this argument consists of a single digit: in this case it is <EM>not</EM> +necessary to enclose it in brackets, since in LaTeX the names of commands +consists of letters only, and so a digit following it is certainly an argument. +This saves a lot of typing and is the only reason that makes these commans +useful (if you always had to type the brackets, then it would have been simpler +to type the expansion of the command than the command itself !). +In other words, you can think as if several commands exist (like <TT>\H</TT>, +<TT>\H1</TT>, <TT>\H10</TT>, etc.), the ones with the digit beeing a sort of +abbreviation for the general one. + +<H3> +<A NAME="SECTION03a">The <TT>\H</TT> command</A> +</H3> + +<P> +The <TT>\H</TT> command is used to generate the symbol of sobolev spaces. +It takes a mandatory argument, which is used as a superscript, and an optional +argument, which is used as a subscript. + +<P> +As explained above, if the mandatory argument is a digit, it need not be +enclosed in brackets. +Moreover, if the optional argument is the digit ``0'', it can be typed without +the square brackets. + +<P> +Here are some examples (whith the <TT>\DefaultSet</TT> set to its default +value <TT>\Omega</TT>): +<PRE> + \H2 ==> H^2(\Omega) + \H10 ==> H^1_0(\Omega) + \H1[\Gamma_D] ==> H^1_{\Gamma_D}(\Omega) + \H^{-1/2} ==> H^{-1/2}(\Omega) +</PRE> + +<H3> +<A NAME="SECTION03b">The <TT>\Hdiv</TT> command</A> +</H3> + +<P> +The <TT>\Hdiv</TT> command is used to generate the sobolev space +called ``H div''. +It takes only an optional argument, which is used as a subscript and which +need not to be surrounded by the square brackets if it is the digit ``0''. + +<P> +If the (default) option <TT>DivInBrackets</TT> is in effect, it differs from +the command <TT>\H</TT> in that the word ``div'' is printed (in roman type) +inside brackets, before the set. +If, instead, the option <TT>DivAsExponent</TT> is active, then it is simply +an abbreviation for <TT>\Hdiv</TT>. + +<P> +Here are some examples: +<PRE> + DivInBrackets DivAsExponent + \Hdiv ==> H(\mathrm{div};\Omega) H^{\mathrm{div}}(\Omega) + \Hdiv0 ==> H_0(\mathrm{div};\Omega) H^{\mathrm{div}}_0(\Omega) + \Hdiv[\Gamma_D] ==> H_{\Gamma_D}(\mathrm{div};\Omega) H^{\mathrm{div}}_{\Gamma_D}(\Omega) +</PRE> + +<H3> +<A NAME="SECTION03c">The <TT>\L</TT> command</A> +</H3> + +<P> +The <TT>\L</TT> command is used to generate the symbol of Lebesgue-measurable +functions. +It has one argument which is the exponent of the L-space. +Again, if this argument is a digit (or a single symbol, +like ``<TT>\infty</TT>'') the surrounding braces are optional. +Like for the <TT>\H</TT> command, the output of <TT>\DefaultSet</TT> +is appended. + +<P> +Here are some examples: +<PRE> + \L2 ==> L^2(\Omega) + \L10 ==> L^{10}(\Omega) + \L ==> L^\infty(\Omega) +</PRE> + +<H3> +<A NAME="SECTION03d">The <TT>\W</TT> command</A> +</H3> + +<P> +The <TT>\W</TT> command is completly analogous, except that it prints a ``W'' +insted af an ``L'' and that it has two argument, both printed as a supercript, +separated by a comma. +It is used for the generalized Sobolev spaces. + +<P> +Here is an example of how it is used: +<PRE> + \W{k}{p} ==> W^{k,p}(\Omega) + \W1 ==> W^{1,\infty}(\Omega) +</PRE> + +<H3> +<A NAME="SECTION03e">The <TT>\D</TT> command</A> +</H3> + +<P> +The <TT>\D</TT> command is used in the theory of distributions: +it prints the space of distributions over the <TT>\DefaultSet</TT> if +followed by a prime symbol, or its dual space, otherwise. +<PRE> + \D ==> \mathcal{D}(\Omega) + \D' ==> \mathcal{D}'(\Omega) +</PRE> + +<H3> +<A NAME="SECTION03f">The <TT>\Norm</TT> command</A> +</H3> + +<P> +The <TT>\Norm</TT> command has a mandatory and an optional argument; +it generates the norm of the mandatory argument, with the optional argument, +if present, as a whole subscript, to denote the space within which the norm +is taken. + +<P> +Some examples: +<PRE> + \Normf(x) ==> \left\Vert f(x)\right\Vert + \Normg[L^2] ==> \left\Vert g\right\Vert _{L^2} +</PRE> + +<H3> +<A NAME="SECTION03g">The <TT>\SemiNorm</TT> command</A> +</H3> + +<P> +The <TT>\SemiNorm</TT> command is completly analoguos, but generates the +semi-norm instead of the norm. + +<P> +Some examples: +<PRE> + \SemiNorm{f(x)} ==> \left\Vert f(x)\right\Vert + \SemiNormg[H^1] ==> \left\vert g\right\vert _{H^1} +</PRE> + +<H3> +<A NAME="SECTION03h">The <TT>\Scalar</TT> command</A> +</H3> + +<P> +The <TT>\Scalar</TT> command has two arguments; a third optional argument +(which is used as a whole subscript) may follow inside square brackets. +The output consists of the two arguments separated by a comma and enclosed +in a pair of adjustable-size brackets, with the optional argument placed as +a subscript (to denote the space inside which the scalr product is taken). + +<P> +Some examples: +<PRE> + \Scalar{f}{g} ==> \left(f,g\right) + \Scalar{u}{v}[L^2] ==> left(u,v\right)_{L^2} +</PRE> + +<H3> +<A NAME="SECTION03i">The <TT>\Crochet</TT> command</A> +</H3> + +<P> +The <TT>\Crochet</TT> command has two arguments; a third optional argument +(which is used as a whole subscript) may follow inside square brackets. +The output consists of the two arguments separated by a comma and enclosed +in a pair of adjustable-size angular-parenthesys, with the optional argument +placed as a subscript (to denote the space inside which the duality is taken). + +<P> +Some examples: +<PRE> + \Crochet{f}{g} ==> \left\langle f,g\right\rangle + \Crochet{u}{v}[D] ==> \left\langle u,v\right\rangle_D +</PRE> + +<HR><BR> +<!------------------------------------------------------------------------> + +<ADDRESS> +<I>Francesco Bosisio</I><BR> +E-mail: <A HREF="MAILTO:bosisio@mate.polimi.it"> + <TT>bosisio@mate.polimi.it</TT> + </A><BR> +Web page: <A HREF="http://ftp.mate.polimi.it/~bosisio/LaTeX"> + <TT>http://ftp.mate.polimi.it/~bosisio/LaTeX</TT> + </A> +</ADDRESS> + +<!------------------------------------------------------------------------> + +</BODY> +</HTML> |