Untitled

	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	% TEST FOR MATH faces and symbols
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	\magnification=\magstep1
	\input testmac.tex
	%\hsize=17truecm\hoffset=-0.54truecm
	%\vsize=25.7truecm\voffset=-0.54truecm
	\input amssym.def
	\input amssym
	\long\def\comments#1\endcomments{}
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	% conservation des anciennes macros
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	\let\Surd=\surd
	\let\infinity=\infty
	\let\voidset=\emptyset
	\let\In=\in
	\let\Subset=\subset
	\let\Forall=\forall
	\let\Exists=\exists
	\let\Dagger=\dagger
	\let\DDagger=\ddagger
	\let\oldpartial=\partial
	\let\oldflat=\flat
	\let\oldnatural=\natural
	\let\oldsharp=\sharp
	\let\oldnorm=\|
	\let\oldbigotimes=\bigotimes
	\let\oldsum=\sum
	\let\oldprod=\prod
	\let\oldcoprod=\coprod
	\let\oldint=\intop
	\let\oldoint=\ointop
	\let\oldsqrt=\sqrt
	\let\oldwidetilde=\widetilde
	\let\oldwidehat=\widehat
	%
	% in math (display) mode
	%
	\let\normall=\mathopen
	\let\normalm=\mathrel
	\let\normalr=\mathclose
	\catcode`\@=11
	\def\biggg#1{{\hbox{$\left#1\vbox to20.5\p@{}\right.\n@space$}}}
	\catcode`\@=12
	\def\bigggl{\mathopen\biggg}
	\def\bigggr{\mathclose\biggg}
	\def\bigggm{\mathrel\biggg}
	\def\testdelimiter#1{
		\csname#1l\endcsname({\rm H}
		\csname#1m\endcsname|{\rm O}
		\csname#1r\endcsname)
		=\csname#1l\endcsname[{\rm H}
		\csname#1m\endcsname\thickvert{\rm O}
		\csname#1r\endcsname]
		=\csname#1l\endcsname\{{\rm H}
		\csname#1m\endcsname|{\rm O}
		\csname#1r\endcsname\}
		=\csname#1l\endcsname\langle {\rm H}
		\csname#1m\endcsname|{\rm O}
		\csname#1r\endcsname\rangle
		=\csname#1l\endcsname\ldbrack{\rm H}
		\csname#1m\endcsname|{\rm O}
		\csname#1r\endcsname\rdbrack
		=\csname#1l\endcsname\lceil{\rm H}
		\csname#1m\endcsname\thickvert{\rm O}
		\csname#1r\endcsname\rceil
		=\csname#1l\endcsname\lfloor{\rm H}
		\csname#1m\endcsname\thickvert{\rm O}
		\csname#1r\endcsname\rfloor
	\hfill\cr\hfill{}
		=\csname#1l\endcsname\lgroup{\rm H}
		\csname#1m\endcsname\thickvert{\rm O}
		\csname#1r\endcsname\rgroup
		=\csname#1l\endcsname\lmoustache{\rm H}
		\csname#1m\endcsname\thickvert{\rm O}
		\csname#1r\endcsname\rmoustache
		=\csname#1l\endcsname|{\rm H}\csname#1r\endcsname|
		=\csname#1l\endcsname\Vert {\rm H}\csname#1r\endcsname\Vert
		=\csname#1l\endcsname\vvvert {\rm H}\csname#1r\endcsname\vvvert
		=\csname#1l\endcsname\uparrow {\rm H}
		\csname#1m\endcsname\updownarrow{\rm H}
		\csname#1r\endcsname\downarrow
		=\csname#1l\endcsname\Uparrow {\rm H}
		\csname#1m\endcsname\Updownarrow{\rm H}
		\csname#1r\endcsname\Downarrow
		=\sqrt{\csname#1m\endcsname|}}
	\def\testwideaccent#1#2{\hbox{\tt\string#2}\hfill
		#1#2{I}=#1#2{H}=#1#2{II}=#1#2{III}=
		#1#2{IIII}=#1#2{IIIII}=#1#2{IIIIII}=#1#2{IIIIIIII}}
	\def\testcs#1#2{\allowbreak\noindent\leavevmode
		\hbox to 0.1\hsize{$#1{#2}$\hss}\nobreak
		\hbox to 0.4001\hsize{\tt\string#1\hss}\ignorespaces}
	%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
	
	\title{\shadedtext{Mathabx series}}
	\subtitle{\shadedtext{Informations and tests}}
	\author{\shadedtext{Anthony Phan}}
	\maketitle
	
	The mathabx series form a large mathematical symbols set designed and
	defined in MetaFont language. Many common and uncommon symbols can be
	found in these series.  These programs are intended to produce bitmap
	fonts and a lot of care is given about rasterization.  Encoding,
	metrics, designs are not supposed to be frozen since improvements,
	changes of mind can always happen.  Thus, {\it this distribution is
	still (\today) at a ``merely for evaluation'' level}.  Please check my
	MetaFont web  page to get the last updates:
	$$
	\hbox{\catcode`\~=12\tt http://www-math.univ-poitiers.fr/~phan/metafont.html}
	$$
	
	By now, there are three main series of fonts: {\it matha},
	{\it mathb} and {\it mathx}. The {\it matha}\/
	series consist in quite usual mathematical symbols, more precisely they
	contain the, say, 64 mathematical symbols one can use
	and suppose other ones know their meaning. The {\it  mathb}\/
	series is a kind of twin of {\it  matha}, but it is the one
	people should not show outside of the house: these symbols
	do not have a very well known meaning and, thus (to my very own opinion),
	should not be used. The {\it  mathx}\/ series is the set of extensible
	delimiters and large operators fitting {\it  matha}\/ and
	{\it  mathb}\/; its encoding doesn't match at all the {\it  cmex}\/
	one, but it may change in the future.
	
	Since a metafont designer doesn't always know when to stop
	creating or coding stuff, many pieces of code remained once
	the three former series where filled. The remaining stuff
	has been put in {\it  mathu}\/ ({\it u}\/ stands for
	unsupported) and in {\it  mathux}\/ ({\it ux}\/ stands for
	unsupported extensible). There is also
	``work in progress''-material: some full OT1 implementation
	of calligraphic characters. If this last task find an end,
	there would be a {\it mathc}\/ series---where {\it c}\/ would
	stand for calligraphic.
	
	The translation of this document into english is not yet finished.
	We do apologize for this.
	 
	\section*{Progress}
	
	\subsection*{April 29, 2002}
	First posting on CTAN.
	
	\subsection*{June 19, 2002}
	A few changes have been done:
	
	\item{$\bullet$}
	Some large symbols are now thicker (\cs{\bigcup}, etc.);
	
	\item{$\bullet$}
	``Flat cups'' have been introduced (\cs{\bigcup}, etc.),
	that means that the roundish parts of those symbols are
	now ``flatter''.
	
	\subsection*{November 16, 2002}
	
	\item{$\bullet$}
	Some work has been done on the calligraphic set. The uppercase
	subset should be exactly the {\it Computer Modern}\/'s one. So
	kerning has to be done in order to get a nice stuff.
	
	\item{$\bullet$}
	The series\/ {\it mathux}\/ are in progress. It will contain
	more extensible symbols (unnecessary I think, so still unsupported).
	
	\item{$\bullet$}
	Binary operators {\tt\string\smallprod} and {\tt\string\smallcoprod}
	have been added to {\it matha}\/ at locations {\tt"3C} and {\tt "3D}.
	I love those symbols and I believe that they must lie on the
	main symbols series.
	
	\subsection*{July 29, 2003}
	
	\item{$\bullet$}
	Some \LaTeX\ bugs have been fixed in {\tt mathabx.dcl}
	with the help of some very kind users (Patrick Cousot, Hung N. Duong,
	Kohsaku Hotta).
	
	\item{$\bullet$}
	The file {\tt mathgrey.mf} is no longer used. This means
	that {\tt mathu10} has no more grey characters. It seems that
	those characters are not compatible with some PostScript
	or such translation (with {\tt TeXtrace} for instance).
	
	\item{$\bullet$}
	The \LaTeX\ style file {\tt mathabx.sty} allows options
	which are {\tt matha}, {\tt mathb} and {\tt mathx}.
	These options define which series will be used.
	If no option is given, the three series will be used.
	(The plain\TeX\ file {\tt mathabx.tex} does not allow
	anything of this kind.) 
	
	\subsection*{October 23, 2003}
	
	\item{$\bullet$} The {\tt\string\bar} and {\tt\string\widebar}
	accents have changed of height (which is now smaller).
	
	\item{$\bullet$} Arrows have a wider breadth and a lighter
	head.
	
	\item{$\bullet$} A little work on calligraphic digits has been done.
	
	\item{$\bullet$} Double brackets formerly named
	{\tt\string\lbbbrack} and {\tt\string\rbbbrack} are now
	named {\tt\string\ldbrack} and {\tt\string\rdbrack}, and
	they still have their curious aliases {\tt\string\lsemantic}
	and {\tt\string\rsemantic}.
	
	\subsection*{May 18, 2005}
	
	\item{$\bullet$} I didn't pay attention until recently to
	the fact that square roots may appear also in
	{\tt\string\scriptstyle} and {\tt\string\scriptscriptstyle}
	modes. This makes necessary to make the corresponding symbols
	go across some usual symbols set and the extensible characters set.
	This is repaired: a basic radical symbol now lies in {\it matha}\/
	at location {\tt"37}.
	In fact, the former basic radical symbol in {\it mathx}\/ still exists
	at place {\tt"60} and there was no problem if {\it mathx}\/ is used
	in 3 different sizes.
	
	\item{$\bullet$} The {\tt\string\bar} and {\tt\string\widebar}
	accents have been restored to their former heights.
	
	\item{$\bullet$} Large greek like symbols (sums, products, coproducts)
	have been revised. Text\-style product and coproduct widths have been
	increased by $u\#$. Also, in {\it matha}, small sum, product, coproduct
	have changed of encoding since the small sum has been introduced.
	
	\item{$\bullet$} {\it mathc}\/ has finally been introduced.
	It is still an uncomplete calligraphic set. Also existing glyphs
	may be revised.
	
	\item{$\bullet$} Integrals have been revised. Comments are welcome.
	
	\item{$\bullet$} Astronomical/logical symbols are in progress.
	
	\item{$\bullet$} Plain\TeX/\LaTeX\ files have been revised.
	
	\item{$\bullet$} The style file {\tt mathabx.sty} has a new option:
	{\tt extra}.
	
	\item{$\bullet$} Things are changing in {\it matha}\/ and {\it mathb}\/ about arrows and such.
	
	\subsection*{June 2005}
	 
	\item{$\bullet$} Too may things to be listed. Please note the changes in fonts names: a ``m'' has been introduced for ``medium'' and a ``b'' for ``bold''. Thus fonts names are now {\tt matham12}, \dots, {\tt matham5}, {\tt mathbm12}, \dots, {\tt mathbm5}, {\tt mathxm12}, \dots, {\tt mathxm5}, {\tt mathab12}, \dots, {\tt mathab5}, {\tt mathbb12}, \dots, {\tt mathbb5}, {\tt mathxb12}, \dots, {\tt mathxb5}, and also unsupported things {\tt mathum10}, {\tt mathuxm10}, {\tt mathub10}, {\tt mathuxb10}. Bold fonts are experimental and yet not supported. Former names ({\tt matha12}, \dots, {\tt matha5}, {\tt mathb12}, \dots, {\tt mathb5}, {\tt mathx12}, \dots, {\tt mathx5}, {\tt mathc10}, {\tt mathu10}, {\tt mathux10}) are still supported but depreceated.
	 
	\subsection*{Summer 2005}
	
	\item{$\bullet$}
	Andrzej Pietuszczack corrected some errors in {\tt mathb12.mf} and and such: the {\tt font\_size} parameter was set to 10\,pt! He also pointed an error in {\tt mathabx.dcl} about unsupported {\tt\string\maltese} cross and suggested new symbols: {\tt\string\strictif}, {\tt\string\strictfi} and {\tt\string\strictiff}. These have been added to the {\tt mathu} series and since they are very not perfect, they are unsupported yet.
	
	\item{$\bullet$}
	David Chase suggested to add many symbols in the unsupported series.
	To be done?
	
	\item{$\bullet$}
	Font sizes for large operators ({\tt mathx}) behave now as in \LaTeX\ when using the package {\tt mathabx.sty}. Also the new option {\tt exscale} has been introduced: it does the same job as {\tt exscale.sty}.
	
	\section{List of every mathabx' symbols}
	
	Thereafter will be loaded
	plain\TeX\ definitions files related to these fonts families.
	Assigning any value to the control sequence\/ {\tt\string\proofmode}
	like\/ {\tt\string\let\string\proofmode=!}, for instance,
	the definition of every symbol will be made together with the
	printing of the related informations. The control sequence
	{\tt\string\proofmode} will be reset to\/ {\tt\string\undefined}
	at the end of the loading. This can be helpful for instantaneous
	documentation.
	
	About the names of the different control sequences, we mostly tried to
	conform to the usual names. If in the following there is some apparent
	mismatch with\/ {\it AMS}\/ denomination, it is normally supported.
	Below is printed first the symbol, then if it already exists the {\it
	Computer Modern}\/ or\/ {\it AMS}\/ one, the name of the control
	sequence, in exponent the spacing value of the symbol (``other''
	means that it is an accent or such, it does not really matter),
	at last---if any---its aliases.
	
	Don't be too surprised if, in the following some supposedly ``older''
	symbols are at least partly designed as {\it mathabx'}\/ ones. Some
	older symbols are defined as macros that uses common symbols. In the
	following definitions common symbols are replaced by {\it mathabx'}\/ ones.
	So, when such a construction is encountered and replaced by a {\it mathabx}
	symbol, what is shown is the ``old'' construction but nothing else.
	\let\proofmode=!
	\fuzzytext
	\input mathabx.tex
	\normaltext
	
	\section{Special constructions}
	
	The special constructions described here are defined in the file
	{\tt mathabx.dcl}. Usual plain\TeX/\LaTeX\ constructions should
	be supported if not replaced by some {\it mathabx}\/ symbol.
	
	\item{$\bullet$} The control sequences {\tt\string\overrightarrow},
	etc., have been defined anew ({\it see}\/~{\tt mathabx.dcl}). They
	will certainly be improved.
	$$
	\overrightarrow{abcde}^{\overrightarrow{abcde}^{\overrightarrow{abcde}}}
	$$
	\medbreak
	\testcs\overrightarrow{abcde}
	\testcs\overleftarrow{abcde}
	\testcs\overleftrightarrow{abcde}
	\testcs\underrightarrow{abcde}
	\testcs\underleftarrow{abcde}
	\testcs\underleftrightarrow{abcde}
	\testcs\overRightarrow{abcde}
	\testcs\overLeftarrow{abcde}
	\testcs\overLeftRightarrow{abcde}
	\testcs\underRightarrow{abcde}
	\testcs\underLeftarrow{abcde}
	\testcs\underLeftRightarrow{abcde}
	\medbreak
	
	\item{$\bullet$} The built-in accent {\tt\string\wideparen}
	(introduced first by Yannis Haralambous)
	allows to build other accent-like control sequences.
	\medbreak
	\testcs\widering{abcde}
	\testcs\widedot{abcde}
	\testcs\wideddot{abcde}
	\testcs\widedddot{abcde}
	\testcs\wideddddot{abcde}
	\medbreak
	
	\item{$\bullet$}
	At last, some symbols like {\tt\string\int},
	{\tt\string\bigcomplement},
	{\tt\string\surd}, must be defined by some {\tt\string\def}
	because of limits or such.
	$$
	\int_a^bf(x)\,{\rm d}x,\quad \bigcomplement_\Omega A,
	\quad\surd a,
	\qquad\textstyle
	\int_a^bf(x)\,{\rm d}x,\quad \bigcomplement_\Omega A,
	\quad\surd a.
	$$
	
	\noindent
	But it seems clear when viewing what is done elsewhere that the already too large mathabx set should (really?) be extended. This may be done by combining already existing symbols. If not, I would once again take my pen, some paper and my keyboard if necessary.
	
	\section{Global installation}
	
	In the {\it mathabx.me}\/ distribution, MetaFont source files
	({\tt xxx.mf}) are all located in the {\tt source/} directory.
	They may be moved to a (new) subdirectory named {\tt mathabx}
	of {\tt\$TEXMF/fonts/source/public/}, thus in
	$$
	\hbox{\tt\$TEXMF/fonts/source/public/mathabx/}
	$$
	where {\tt\$TEXMF}
	stands for the root directory of the \TeX MF distribution of
	the computer. Plain\TeX/\LaTeX input files are all located
	in the {\tt texinputs} directory of this distribution.
	The three files {\tt mathabx.tex}, {\tt mathabx.sty}
	and {\tt mathabx.dcl} may be moved to the directory
	$$
	\hbox{\tt\$TEXMF/tex/generic/misc/}
	$$
	(other location may be also fine). Other \TeX\ files are
	there for documentation. They can be removed.
	
	At last, the \TeX MF system needs to know that new files
	have been added. This can be done by executing from a console
	{\tt texhash} or such, some command that refreshes the \TeX MF
	database. We don't provide more informations on
	this last subject since it may depend on every particular \TeX MF
	distribution and computer system.
	
	If a previous {\it mathabx}\/ distribution has been already
	installed, please remove every bitmap fonts ({\tt xxx.yyypk})
	and metrics ({\tt xxx.tfm}) related to {\it mathabx} (only!)
	since all of them may change from a distribution to another.
	
	We won't write anything about local installation (on Unices
	systems for instance), nor about Type 1 conversions and installation
	of the {\it mathabx}\/ fonts. One can find informations about these
	two last topics on the World Wide Web (but maybe in japanese).
	
	\section{Use with plain\TeX}
	
	The basic input file is {\tt mathabx.tex}. It requires {\tt mathabx.dcl}
	which is common to plain\TeX\ and \LaTeX. So one should type
	$$
		\cs{\input\ mathabx.tex}
	$$
	at the beginning of his (her) plain\TeX\ document. This sets up
	all the symbols previously described and defines $3$ new families
	of mathematical symbols whose numbers are \cs\mathafam,
	\cs\mathbfam\ and \cs\mathxfam. Pointsizes are $10\,\rm pt$, {\it i.e.},
	textstyle is $10\,\rm pt$, scriptstyle is $7\,\rm pt$
	and scriptscriptstyle is $5\,\rm pt$ for \cs\mathafam\ and \cs\mathbfam\
	families. For \cs\mathxfam\ the three styles correspond to a pointsize
	equal to $10\,\rm pt$ as for {\tt cmex} in plain\TeX. Changing pointsizes
	is easy since any plain\TeX user know how to do so (one can also look
	into {\tt mathabx.tex} to make sure). Remember that setting the
	control sequence {\tt\string\proofmode} to a known value
	before inputing {\tt mathabx.tex} would lead to the verbose
	mode as illustrated in Section~1 of this document.
	
	\section{Use with \LaTeX}
	
	The basic package is {\tt mathabx.sty}. It requires {\tt mathabx.dcl}
	which is common to plain\TeX\ and \LaTeX. So one should type
	$$
		{\tt\cs\usepackage\{mathabx\}}
	$$
	in the preamble of his (her) \LaTeX\ document. This sets up
	all the symbols previously described and defines $3$ new families
	of mathematical symbols whose \LaTeX\ names are {\tt matha},
	{\tt mathb} and {\tt mathx} (according to \LaTeX\ font selection scheme).
	These families behave as expected with pointsize changes.
	The possible options of the {\tt mathabx} package are
	{\tt matha}, {\tt mathb}, {\tt mathx}, {\tt excsale}, {\tt extra}
	and {\tt unsupported}.
	the three first options allow to select
	which families would be actually defines. For instance
	$$
		{\tt\cs\usepackage[matha,mathx]\{mathabx\}}
	$$
	ignores the {\it mathb}\/ family and load only {\it matha}\/
	and {\it mathx}\/ families. Remember that no option means
	that the three families would be loaded. No individual
	symbol selection has been setted. If one wants to use only,
	say, a couple of symbols in the {\it mathabx}\/ series,
	he (she) would have to it by him(her)self.
	The option {\tt exscale} allows pointsize changes for
	large operators and should provide a correct behavior
	for {\tt\string\big}, etc., control sequences---this option
	performs almost the same thing as the {\tt exscale} package.
	The option {\tt extra} allows the definition of special
	constructions like {\tt\string\underleftarrow} and such
	which may interfere with AMS packages.
	The option {\tt unsupported} loads also unsupported
	stuff. 
	
	\section{Various trials}
	
	We begin by some meaningless expressions:
	$$
	\displaylines{
	G\triangleleft H\trianglelefteq A \trianglerighteq B \triangleright C
	\cr
	|G|\not\triangleleft|H|\not\trianglelefteq|A|
	\not\trianglerighteq|B|\not\triangleright|C|.
	}
	$$
	Then we look at variations with mathematical style:
	$$
	\infty^{\infty^\infty}
	\qquad
	\infinity^{\infinity^\infinity}
	\qquad
	\in^{\in^\in}
	\qquad
	\subset^{\subset^\subset}
	\qquad
	\subseteq^{\subseteq^\subseteq}
	\qquad
	<^{<^<}
	\qquad
	\sqrt x^{\sqrt x^{\sqrt x}}
	$$
	The first {\tt\string\infty} symbol is from {\it matha}, the next one is
	the {\it Computer Modern}\/ one.
	
	Other trials with sometimes {\it Computer Modern}\/ symbols for comparison:
	$$
	\displaylines{
	a\rightarrowtailchar\rightarrow b\longleftarrow\leftarrowtailchar
	c\rightarrow\mathrel{\mkern0.8mu}\mapsfromchar d\cr
	\Gamma\smallsum \Sigma\smallprod \Pi\smallcoprod D,\cr
	f:X\righttoleftarrow,
	\qquad g:X\relbar\joinrel\notrelbar\joinrel\rightarrow Y,
	\qquad g:X\Relbar\joinrel\not\Relbar\joinrel\Rightarrow Y,
	\qquad X\leftarrow\joinrel\notrelbar\joinrel\multimap Z
	\leftbarharpoon\joinrel\notRelbar\joinrel\barrightharpoon W\cr
	{\partial f\over\partial x}(x)
	\simeq
	{\oldpartial f\over\oldpartial x}(x)
	\qquad
	\oldflat\flat\oldnatural\natural\oldsharp\sharp\hbox{bof bof}
	\qquad
	\root 2 \of {9}=\root 3 \of {27}=\root 4 \of {81}
	\cr
	\oldnorm T(h)f-f\oldnorm=\|T(h)f-f\|
	\cr
	A\cap B\cup C\uplus D \vee E\wedge F
	\cr
	A\sqcap B\sqcup C\squplus D \veebar E\barwedge F\veedoublebar G
	\doublebarwedge F \curlyvee H \curlywedge I
	\cr
	\dagger\Dagger\ddagger\DDagger
	\qquad
	A^{\dagger^\dagger}
	\cdot A^{\Dagger^\Dagger}
	\qquad
	A\Asterisk A\coAsterisk\{y\}\star[x]\ast(z)
	\qquad
	\surd\Surd
	\cr
	\forall x\in y^\perp,\ \exists S\subseteq R,
	\ \exists x,\ (\Exists x),\quad
	z\cap y,\ x\in y
	\cr
	f\mapsto g\longmapsto h,\qquad
	f\hookrightarrow g \hookleftarrow h,\qquad
	A\Mapstochar\Relbar\joinrel\Rightarrow B
	\Leftarrow\joinrel\Relbar\Mapsfromchar C,\qquad
	a\leftsquigarrow b\leftrightsquigarrow
	c\rightsquigarrow d.
	}
	$$
	Integrals in displaystyle then in textstyle (I don't want to forget that these signs are derived from the letter ``S'' even if I draw them my way):
	$$
	\displaylines{
	\int\int\int_0^t f\circ g(x)\,{\rm d}x=
	\int\iint_0^t f\circ g(x)\,{\rm d}x=
	\iiint_0^t f\circ g(x)\,{\rm d}x
	\cr
	\oldint\nolimits_0^t\oldoint_C f\circ g(x)\,{\rm d}x=
	\int_0^t\oint_C f\circ g(x)\,{\rm d}x=
	\oiint_S f\circ g(x)\,{\rm d}x
	\cr
	\textstyle\int\int\int_0^t f\circ g(x)\,{\rm d}x=
	\int\iint_0^t f\circ g(x)\,{\rm d}x=
	\iiint_0^t f\circ g(x)\,{\rm d}x
	\cr
	\textstyle\oldint_0^t\oldoint_C f\circ g(x)\,{\rm d}x=
	\textstyle\int_0^t\oint_C f\circ g(x)\,{\rm d}x=
	\oiint_S f\circ g(x)\,{\rm d}x
	}
	$$
	Sums and products, etc., in displaystyle:
	$$
	\displaylines{
	\prod_{i=0}^{i=n}\prod_{j=0}^{j=n}
	\prod_{k=0}^{k=n}\Gamma^{ij}_k
	=
	\prod_{i=0}^{i=n}\coprod_{j=0}^{j=n}
	\prod_{k=0}^{k=n}\Gamma^{ij}_k
	=
	\coprod_{i=0}^{i=n}\coprod_{j=0}^{j=n}
	\coprod_{k=0}^{k=n}\Gamma^{ij}_k
	=
	\oldprod_{i=0}^{i=n}\oldcoprod_{j=0}^{j=n}
	\oldprod_{k=0}^{k=n}\Gamma^{ij}_k
	\cr
	\prod_{i=0}^{i=n}\prod_{j=0}^{j=n}
	\prod_{k=0}^{k=n}\Gamma^{ij}_k
	=
	\biggl(\prod_{i=0}^{i=n}\sum_{j=0}^{j=n}
	\prod_{k=0}^{k=n}\Gamma^{ij}_k\biggr)
	=
	\biggl[
	\sum_{i=0}^{i=n}\sum_{j=0}^{j=n}
	\sum_{k=0}^{k=n}\Gamma^{ij}_k\biggr]
	=
	\biggl[\oldsum_{i=0}^{i=n}\oldsum_{j=0}^{j=n}
	\oldsum_{k=0}^{k=n}\Gamma^{ij}_k\biggr]
	\cr
	\bigcup_{i=0}^{i=n}\bigcap_{j=0}^{j=n}
	\bigcup_{k=0}^{k=n}\Gamma^{ij}_k
	=
	\bigcup_{i=0}^{i=n}\bigvee_{j=0}^{j=n}
	\bigcup_{k=0}^{k=n}\Gamma^{ij}_k
	=
	\bigcup_{i=0}^{i=n}\bigwedge_{j=0}^{j=n}
	\bigcup_{k=0}^{k=n}\Gamma^{ij}_k
	=
	\bigvee_{i=0}^{i=n}\bigwedge_{j=0}^{j=n}
	\bigvee_{k=0}^{k=n}\Gamma^{ij}_k
	}
	$$
	Sums and products, etc., in textstyle:
	$$
	\displaylines{
	\textstyle
	\prod\prod
	\prod\Gamma^{ij}_k
	=
	\prod\coprod
	\prod\Gamma^{ij}_k
	=
	\coprod\coprod
	\coprod\Gamma^{ij}_k
	=
	\oldprod\oldcoprod
	\oldprod\Gamma^{ij}_k
	\cr
	\textstyle
	\prod\prod
	\prod\Gamma^{ij}_k
	=
	\bigl(\prod\sum
	\prod\Gamma^{ij}_k\bigr)
	=
	\bigl[
	\sum\sum
	\sum\Gamma^{ij}_k\bigr]
	=
	\bigl[\oldsum\oldsum
	\oldsum\Gamma^{ij}_k\bigr]
	\cr
	\textstyle
	\bigcup\bigcap
	\bigcup\Gamma^{ij}_k
	=
	\bigcup\bigvee
	\bigcup\Gamma^{ij}_k
	=
	\bigcup\bigwedge
	\bigcup\Gamma^{ij}_k
	=
	\bigvee\bigwedge
	\bigvee\Gamma^{ij}_k
	\cr}
	$$
	
	\section{Delimiters}
	
	The whole set of extensible delimiters is presented below.
	Some of those delimiters are quite close to\/ {\it Computer
	Modern}\/'s ones, for instance parentheses are almost the same.
	By now there are a few differences. Left and right groups
	are fully supported, i.e. every sizes exist. Moustaches
	are built in the font but not in a satisfactory way, 
	as one may see below. Some vertical lines are not supported, these
	are the ones that could be built with various extension moduli
	as in\/ {\it Computer Modern}.
	$$
	\displaylines{
	(X,X)=[X,X]=\{X,X\}=
	\langle X^c,X^c\rangle
	\equiv
	[X^c,X^c]
	=
	\ulcorner X\urcorner
	=
	\llcorner X\lrcorner
	=
	\ulcorner X\lrcorner
	=
	\llcorner X\urcorner
	\cr
	\testdelimiter{normal}
	\cr
	\testdelimiter{big}
	\cr
	\testdelimiter{Big}
	\cr
	\testdelimiter{bigg}
	\cr
	\testdelimiter{Bigg}
	\cr
	\testdelimiter{biggg}
	\cr
	}
	$$
	
	\section{Accents and wide accents}
	Here are some basic accents.
	$$
	\def\test#1{\hbox{\tt\string#1\ o}\quad#1o}
	\displaylines{
	\test\ring,\quad
	\test\dot,\quad\test\ddot,\quad\test\dddot,\quad\test\ddddot,\cr
	}
	$$
	Thus,
	$$
	\ddddot y -4\dddot y +5x\ddot y +f(x)\dot y=g(x)\in\ring C
	$$
	Here we have extensible accents. Control sequences {\tt\string\oldxxx}
	just invoke former symbols when they exist, these control sequences
	are defined only for this test file.
	$$
	\displaylines{
	\testwideaccent{\skew3}{\widehat}
	\cr
	\testwideaccent{\skew3}{\oldwidehat}
	\cr
	\testwideaccent{\skew3}{\widecheck}
	\cr
	\testwideaccent{\skew3}{\widetilde}
	\cr
	\testwideaccent{\skew3}{\oldwidetilde}
	\cr
	\testwideaccent{\skew3}{\widearrow}
	\cr
	\testwideaccent{\skew3}{\wideparen}
	\cr
	\testwideaccent{\skew3}{\widering}
	\cr
	\testwideaccent{\skew3}{\widedot}
	\cr
	\testwideaccent{\skew3}{\wideddot}
	\cr
	\testwideaccent{\skew3}{\widedddot}
	\cr
	\testwideaccent{\skew3}{\wideddddot}
	\cr
	\testwideaccent{\skew3}{\widebar}
	\cr
	\hbox{{\tt\string\overleftarrow} is not of accent type}\hfill
	\overleftarrow{IIIIIIIIIIIIIIIIIIIIIIIIIII}
	}
	$$
	According to Matthias Clasen's construction: {\tt\string\overbrace},
	{\tt\string\underbrace}, {\tt\string\overgroup}, {\tt\string\undergroup}
	$$
	\overbrace{\underbrace{HHHHHHHHHH}}^{AAAAAAAAAAAA}_{HHHHHHHHHHH}
	\qquad
	\overgroup{\undergroup{HHHHHHHHHH}}^{AAAAAAAAAAAA}_{HHHHHHHHHHH}
	$$
	
	\section{Astronomical symbols}
	
	Astronomical/logical symbols are in progress (coding, design, etc.).
	There is not enough room yet in the {\it mathb}\/ series to provide a
	complete set of such symbols. If Mayan numerals are supressed,
	maybe\dots
	$$
	\left\lfilet\enspace\vcenter{\advance\hsize by -4\parindent
	The Earth~$\Earth$ (or~$\varEarth$)
	is in rotation around the Sun~$\Sun$
	like Mercury~$\Mercury$, Venus~$\Venus$,
	Mars~$\Mars$, Saturn~$\Saturn$, Jupiter~$\Jupiter$,
	Uranus~$\Uranus$, Neptune~$\Neptune$ and Pluto~$\Pluto$.
	But the Moon~$\Moon$ is not.\par}\enspace\right\rfilet
	$$
	Also, there are Aries $\Aries$, Taurus $\Taurus$, Gemini $\Gemini$,
	Leo $\Leo$, Libra $\Libra$, Scorpio $\Scorpio$, etc. (Notice the use of
	{\tt\string\lfilet} and {\tt\string\rfilet} in the previous
	paragraph---which names may be changed.)
	 
	Of course, some symbols have an {\it alias}\/
	such as\/ {\tt\string\girl} and\/ {\tt\string\boy}:
	$$
		\{(\boy,\boy),(\boy,\girl),(\girl,\boy),(\girl,\girl)\}.
	$$
	These symbols are nice in some usual exercices of
	elementary Probability Theory.
	
	\section{Unsupported}
	
	{\font\unsupported=mathcm10
	\unsupported
	As one can see further on, many things are unsupported. But this does not mean that few things extracted from unsupported stuff are not interesting.  Below, one can see some shape that comes from my favorite pen and another I saw once on the web and thought it was astonishingly beautiful.
	\def\greekfill{\hss\cleaders\hbox{$\greekmotive$}\hfill}%
	\def\ghaneanfill{\hss\cleaders\hbox{$\ghaneanmotive$}\hfill}%
	\medbreak
	\line{\greekfill}
	\line{\ghaneanfill}
	\medbreak\noindent
	See {\it mathcm10}, {\it mathum10}, {\it mathuxm10} in the next pages.}
	\newpage
	
	\section{Mathabx font tables}
	
	\subsection*{Matha, major symbols series}
	
	{\def\fontname{matham10 }
	\startfont\table}
	%{\def\fontname{matha5 }
	%\startfont\table}
	
	\newpage
	
	\subsection*{Mathb, minor symbols series}
	
	{\def\fontname{mathbm10 }
	\startfont\table}
	%{\def\fontname{mathb5 }
	%\startfont\table}
	
	\newpage
	
	\subsection*{Mathx, major extensible symbols series}
	{\centerlargechars
	\def\fontname{mathxm10 }
	\startfont\table}
	%{\centerlargechars
	%\def\fontname{mathxm5 }
	%\startfont\table}
	
	\newpage
	
	\subsection*{Mathc, unsupported calligraphic series}
	{\font\unsupported=mathcm10
	\unsupported
	The series\/ {\it mathc}\/ have some features that may interest
	people: it contains the whole set of calligraphic characters
	of\/ {\tt cmsy} and also extends it. The first part of this extension
	is the latin lowercase letters, and also the punctuation which
	make it a quite complete OT1 font. This part of the extension is due
	to me. Hebrew characters have been converted to MetaFont,
	adapted and extended (dagesh sign) also by me, but the source
	is some ``professional'' or commercial font.
	
	Things are in progress: <\,punctuation\,>, <<\,ligatures\,>>, greek letters\dots\
	Designs are deeply based on {\it Computer Modern}.
	Thus these series should be named
	cmchXX\dots }
	
	\docomparison{mathcm10 }{cmsy10}from 65 to 90.
	\docomparison{cmsy10 }{cmmi10}from 65 to 90.
	\docomparison{mathcm10 }{cmmi10}from 65 to 90.
	\docomparison{mathcm10 }{cmmi10}from 97 to 122.
	
	\UsualTest{mathcm10 }
	
	
	\subsection*{Random test of gray}
	
	{\font\currentfont=mathcm10\currentfont
	\mixfrom 97 to 122.
	\mixfrom 160 to 191.
	\digits}
	
	\subsection*{Test of accents}
	
	{\font\currentfont=mathcm10\currentfont
	\accentsfrom 65 to 90.
	\accentsfrom 97 to 122.
	\accentsfrom 16 to 17.}
	
	%\newpage
	
	\subsection*{Mathu, unsupported symbols series}
	
	{\centerlargechars
	\def\fontname{mathum10 }
	\startfont\table}
	
	\subsection*{Mathux, unsupported extensible symbols series}
	
	{\centerlargechars
	\def\fontname{mathuxm10 }\startfont\table}
	
	\subsection*{Mathastrotest10, about the metaness
	of astronomical/logical symbols}\break
	Who cares about astronomical/logical symbols? So why trying to do
	something great with them? General shapes are even unstable: they are
	never the same from a reference to another. I think that I've been
	convinced by the presence of some such symbols in the fonts tables of
	the famous book ``The Printing of Mathematics''. By the way it
	remembers me that if I want to extend this subset of {\it mathb}, I
	would have to take into account that I have already put some metaness
	in these designs.
	
	\medbreak\noindent
	{\font\currentfont=mathastrotest10
	\currentfont
	\count0=0
	\loop\ifnum\count0<32\relax\count1=\count0
	{\loop\ifnum\count1<256\char\the\count1\advance\count1 by 32\repeat}
	\hfil\allowbreak\advance\count0 by 1\repeat}
	
	{\def\fontname{mathastrotest10 }
	\startfont\table}
	
	
	\bye