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     eqn  -  typeset mathematics

     eqn [ file ] ...

     Eqn is a troff (I) preprocessor for typesetting mathematics
     on the Graphics Systems phototypesetter.  Usage is almost

             eqn file ... | troff

     If no files are specified, eqn reads from the standard
     input.  A line beginning with ``.EQ'' marks the start of an
     equation; the end of an equation is marked by a line begin-
     ning with ``.EN''.  Neither of these lines is altered or
     defined by eqn, so you can define them yourself to get cen-
     tering, numbering, etc.  All other lines are treated as com-
     ments, and passed through untouched.

     Spaces, tabs, newlines, braces, double quotes, tilde and
     circumflex are the only delimiters.  Braces ``{}'' are used
     for grouping.  Use tildes ``~'' to get extra spaces in an

     Subscripts and superscripts are produced with the keywords
     sub and sup.  Thus x sub i makes $x sub i$, a sub i sup 2
     produces $a sub i sup 2$, and e sup {x sup 2 + y sup 2}
     gives $e sup {x sup 2 + y sup 2}$.  Fractions are made with
     over.  a over b is $a over b$ and 1 over sqrt {ax sup 2
     +bx+c} is $1 over sqrt {ax sup 2 +bx+c}$ .  sqrt makes
     square roots.

     The keywords from and to introduce lower and upper limits on
     arbitrary things: $lim from {n-> inf} sum from 0 to n x sub
     i$ is made with lim from {n-> inf}      sum from 0 to n x sub i.
     Left and right brackets, braces, etc., of the right height
     are made with left and right: left [ x sup 2 + y sup 2 over
     alpha right ] ~=~1 produces $left [ x sup 2 + y sup 2 over
     alpha right ] ~=~1$.  The right clause is optional.

     Vertical piles of things are made with pile, lpile, cpile,
     and rpile: pile {a above b above c} produces $pile {a above
     b above c}$.  There can be an arbitrary number of elements
     in a pile.  lpile left-justifies, pile and cpile center,
     with different vertical spacing, and rpile right justifies.

     Diacritical marks are made with dot, dotdot, hat, bar: x dot
     = f(t) bar is $x dot = f(t) bar$.  Default sizes and fonts
     can be changed with size n and various of roman, italic, and

     Keywords like sum ( sum ) int ( int ) inf ( inf ) and short-
     hands like >= (>=)   -> (->), != ( != ), are   recognized.
     Spell out Greek letters in the desired case, as in alpha,
     GAMMA.  Mathematical words like sin, cos, log are made Roman
     automatically.  Troff (I) four-character escapes like \(bs


     () can be used anywhere.  Strings enclosed in double quotes
     "..."  are passed through untouched.

     A System for Typesetting Mathematics (Computer Science Tech-
     nical Report #17, Bell Laboratories, 1974.)
     TROFF Users' Manual (internal memorandum)
     TROFF Made Trivial (internal memorandum)
     troff (I), neqn (I)

     Undoubtedly.  Watch out for small or large point sizes -
     it's tuned too well for size 10.  Be cautious if inserting
     horizontal or vertical motions, and of backslashes in gen-