Here is the complete source for the three display equations
in the abstract of this guide.
G(z)~mark =~ e sup { ln ~ G(z) }
sum from k>=1 {S sub k z sup k} over k right )
~=~ prod from k>=1 e sup {S sub k z sup k /k}
lineup = left ( 1 + S sub 1 z +
{ S sub 1 sup 2 z sup 2 } over 2! + ... right )
left ( 1+ { S sub 2 z sup 2 } over 2
+ { S sub 2 sup 2 z sup 4 } over { 2 sup 2 cdot 2! }
lineup = sum from m>=0 left (
pile { k sub 1 ,k sub 2 ,..., k sub m >=0
k sub 1 +2k sub 2 + ... +mk sub m =m}
{ S sub 1 sup {k sub 1} } over {1 sup k sub 1 k sub 1 ! } ~
{ S sub 2 sup {k sub 2} } over {2 sup k sub 2 k sub 2 ! } ~
{ S sub m sup {k sub m} } over {m sup k sub m k sub m ! }
.SC "Keywords, Precedences, Etc."
do operations in the order shown in this list.
dyad vec under bar tilde hat dot dotdot
fat roman italic bold size
These operations group to the left:
All others group to the right.
Digits, parentheses, brackets, punctuation marks, and these mathematical words
to Roman font when encountered:
sin cos tan sinh cosh tanh arc
These character sequences are recognized and translated as shown.
simply spell them out in whatever case you want:
DELTA $DELTA$ iota $iota$
GAMMA $GAMMA$ kappa $kappa$
LAMBDA $LAMBDA$ lambda $lambda$
PSI $PSI$ omicron $omicron$
UPSILON $UPSILON$ psi $psi$
alpha $alpha$ sigma $sigma$
delta $delta$ upsilon $upsilon$
epsilon $epsilon$ xi $xi$
These are all the words known to
(except for characters with names),
together with the section where they are discussed.
If you make a mistake in an equation,
like leaving out a brace (very common)
or having one too many (very common)
with nothing before it (common),
will tell you with the message
syntax error between lines x and y, file z
are approximately the lines
between which the trouble occurred, and
The line numbers are approximate _ look nearby as well.
There are also self-explanatory messages that arise if you leave out a quote
If you want to check a document before actually printing it
throw away the output but print the messages.
If you use something like dollar signs as delimiters,
it is easy to leave one out.
This causes very strange troubles.
checks for misplaced or missing dollar signs
In-line equations can only be so big
because of an internal buffer in
you have exceeded this limit.
If you print the equation as a displayed equation
this message will usually go away.
indicates you have exceeded an even bigger buffer.
The only cure for this is to break the equation into two separate ones.
does not break equations by itself _
you must split long equations up across multiple lines
marking each by a separate
does warn about equations that are too long
projects / unix-history / blob