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neqn(1)								       neqn(1)

NAME
       neqn - format mathematical text for nroff

SYNOPSIS
       xy] n] n] n] [file]...

   Remarks
       The output of is very device-dependent.	See the section.

DESCRIPTION
       is  a preprocessor for (see nroff(1)) for typesetting mathematical text
       on typewriter-like terminals.  Its invocation is almost always  one  of
       the following two forms or equivalent:

       If  no  files are specified (or if is specified instead of file), reads
       from standard input.  A line beginning with marks the start of an equa‐
       tion.   The  end of an equation is marked by a line beginning with Nei‐
       ther of these lines is altered, which means that they can be defined in
       macro packages to get centering, numbering, etc.

   Delimiters
       It  is  also possible to designate two characters as delimiters; subse‐
       quent text between delimiters is then treated as input.	Delimiters can
       be  set	to  characters x and y with the command-line argument or (more
       commonly) with the sequence

       The left and right delimiters can be the	 same  character;  the	dollar
       sign  is	 often used as such a delimiter.  Delimiters are turned off by
       (see the section).  All text that is  neither  between  delimiters  nor
       between and is passed through untouched.	 delim $$

   Separators and Metacharacters
       Tokens  within  equations  are  separated  by  spaces,  tabs, newlines,
       braces, double quotes, tildes, and circumflexes.	 Braces are  used  for
       grouping; generally speaking, anywhere a single character such as x can
       appear, a complicated construction  enclosed  in	 braces	 can  be  used
       instead.	  Tilde represents a full space in the output; circumflex half
       as much.

   Subscripts and Superscripts
       Subscripts and superscripts are produced using and as follows:

       Source Text					     Result
       ────────────────────────────────────────────────────┬─────────────────────────────
							   │
       x sub j						   │ $x sub j$
							   │
							   │
       ────────────────────────────────────────────────────┼─────────────────────────────
							   │
       a sub k sup 2					   │ $a sub k sup 2$
							   │
							   │
       ────────────────────────────────────────────────────┼─────────────────────────────
							   │
       e sup {x sup 2 + y sup 2}			   │ $e sup {x sup 2 + y sup 2}$
							   │
							   │
       ────────────────────────────────────────────────────┴─────────────────────────────

   Fractions
       Fractions are produced by using

       Source Text					     Result
       ────────────────────────────────────────────────────┬───────────────────
							   │
       a over b						   │ $a over b$
							   │

							   │
       ────────────────────────────────────────────────────┴───────────────────

   Square Roots
       produces square roots:

       Source Text					     Result
       ────────────────────────────────────────────────────┬───────────────────────────────
							   │
       1 over sqrt {ax sup 2+bx+c}			   │ $1 over sqrt {ax sup 2+bx+c}$
							   │
							   │
       ────────────────────────────────────────────────────┴───────────────────────────────

   Upper and Lower Limits
       The keywords and specify lower and upper limits:

       Source Text					     Result
       ────────────────────────────────────────────────────┬────────────────────────────────────────────────
							   │
       lim from {n -> inf } sum from 0 to n x sub i	   │ $lim from {n -> inf } sum from 0 to n x sub i$
							   │
							   │
       ────────────────────────────────────────────────────┴────────────────────────────────────────────────

   Brackets and Braces
       Left and right brackets, braces, and such, of proper  height  are  made
       with and

       Source Text					     Result
       ────────────────────────────────────────────────────┬───────────────────────────────────────────────────────
							   │
       left [ {x sup 2 + y sup 2} over alpha right ] ~=~ 1 │ $left [ {x sup 2 + y sup 2} over alpha right ] ~=~ 1$
							   │
							   │
       ────────────────────────────────────────────────────┴───────────────────────────────────────────────────────

       Legal  characters after and are braces, brackets, bars, and for ceiling
       and floor, and  for  nothing  at	 all  (useful  for  a  right-side-only
       bracket).  A char need not have a matching char.

   Vertical Piles
       Vertical piles of elements are made with and

       Source Text					     Result
       ────────────────────────────────────────────────────┬───────────────────────────────
							   │
       pile {a above bb above ccc}			   │ $pile {a above bb above ccc}$
							   │
							   │
       ────────────────────────────────────────────────────┴───────────────────────────────

       Piles  can  have arbitrary numbers of elements; left aligns, and center
       (but with different vertical spacing), and right aligns.

   Matrices and Determinants
       Matrices are made with

       Source Text					     Result
       ────────────────────────────────────────────────────┬───────────────────
							   │
       left | { matrix {				   │ $left | {	matrix
	    lcol { x sub i above y sub 2 }		   │ {	lcol { x sub i
	    ccol { 1 above 234 } } } right |		   │ above y sub  2  }
							   │ ccol  {  1	 above
							   │ 234 } }  }	 right
							   │ |$
							   │
							   │
       ────────────────────────────────────────────────────┴───────────────────

       In addition, there is for a right-aligned column.

   Diacritical Marks
       Diacritical marks are made with and

       Source Text					     Result
       ────────────────────────────────────────────────────┬────────────────────────────
							   │
       x dot = f(t) bar					   │ $x dot = f(t) bar$
							   │
							   │
       ────────────────────────────────────────────────────┼────────────────────────────
							   │
       y dotdot bar ~=~ n under				   │ $y dotdot bar ~=~ n under$
							   │
							   │
       ────────────────────────────────────────────────────┼────────────────────────────
							   │
       x vec ~=~ y dyad					   │ $x vec ~=~ y dyad$
							   │

							   │
       ────────────────────────────────────────────────────┴────────────────────────────

   Point Sizes and Fonts
       Point  sizes and fonts can be changed with n or and n.  Point sizes and
       fonts can be changed globally in a document by n and n, or by the  com‐
       mand-line arguments and

       Normally,  subscripts and superscripts are reduced by 3 points from the
       previous size; this can be changed by the command-line argument

   Vertical Alignment
       Successive display arguments can be lined up.  Place before the desired
       lineup  point in the first equation; place at the place that is to line
       up vertically in subsequent equations.

   Shorthand Forms
       Shorthand forms can be defined or existing keywords redefined with

       defines a new token called thing that is replaced by replacement	 when‐
       ever  it	 appears thereafter.  The % can be any character that does not
       occur in replacement.  The spaces around the % delimiters are required.

   Other Keywords
       Keywords such as ($sum$, standing for uppercase sigma),	($int$,	 inte‐
       gral  sign),  ($inf$,  infinity	sign),	and  shorthands such as ($>=$,
       ($!=$, and ($->$) are recognized.  Greek letters	 are  spelled  out  in
       uppercase  or lowercase as desired, as in ($alpha$, standing for lower‐
       case alpha) or ($GAMMA$, standing for uppercase	gamma).	  Mathematical
       words  such  as	($sin$), ($cos$), and ($log$) are made Roman automati‐
       cally.  four-character escapes, such as ($‡$, and  ($·$,	 can  be  used
       anywhere.

   Verbatim Text
       Strings	 enclosed   in	double	quotes	(string)  are  passed  through
       untouched; this permits keywords to be entered as text, and can be used
       to  communicate with when other methods fail.  Details are given in the
       manuals cited below.

   Options
       accepts the following options:

       Define the characters
	      x and y as the start and end in-text delimiter characters.   See
	      the subsection.

       Change  the  font number globally for the output equations in the docu‐
       ment to
	      n.  See the subsection.

       Reduce subscript and superscript point sizes by
	      n points from the normal size.  See the subsection.

       Change the point size globally for the output equations in the document
       to
	      n.  See the subsection.

   Operands
       file   A file to be processed for constructs.  If no file is specified,
	      reads from standard input.  If a file is specified as reads from
	      standard input at that point in the sequence of files.

EXTERNAL INFLUENCES
   Environment Variables
       determines  the	interpretation of text as single- or multibyte charac‐
       ters.

       determines the language in which messages are displayed.

       If is not specified in the environment or is set to the	empty  string,
       the  value  of is used as a default for each unspecified or empty vari‐
       able.  If is not specified or is set to the empty string, a default  of
       "C"  (see lang(5)) is used instead of If any internationalization vari‐
       able contains an invalid setting, behaves as if	all  internationaliza‐
       tion variables are set to "C".  See environ(5).

   International Code Set Support
       Single- and multibyte character code sets are supported.

WARNINGS
       To  embolden  digits, parentheses, etc., it is necessary to quote them,
       as in .	Also see the section in nroff(1).

       Good practice dictates that if a delimiter is specified in a file,  the
       directive should be included at the end of the file to prevent undesir‐
       able behavior when processing multiple files where  a  subsequent  file
       may contain the delimiter character as part of regular text.

       To  properly  display  equations	 on terminal screens and other devices
       that do not support reverse line feeds, output should be piped  through
       (see col(1)).

       The  display on devices that do not support partial line feeds is often
       difficult to understand; Greek characters and other symbols  are	 often
       not  well  supported  and  can mismatched printing of bold words on the
       same line (see a printed version of the	subsection  above).   Consider
       using "computer-program" coding instead.

SEE ALSO
       col(1), mm(1), nroff(1), tbl(1), mm(5).

       by B.W. Kernighan and L.L. Cherry.

       by C. Scrocca.  delim off

								       neqn(1)
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