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   eqn(1)                  (BSD Compatibility Package)                  eqn(1)


   NAME
         eqn, neqn, checkeq - typeset mathematics

   SYNOPSIS
         /usr/ucb/eqn [ -dxy ] [ -fn ] [ -pn ] [ -sn ] [ filename ] ...

         /usr/ucb/neqn [ filename ] ...

         /usr/ucb/checkeq [ filename ] ...

   DESCRIPTION
         The eqn and neqn commands are language processors to assist in
         describing equations.  eqn is a preprocessor for troff(1) and is
         intended for devices that can print troff's output.  neqn is a
         preprocessor for nroff(1) and is intended for use with terminals.

         checkeq reports missing or unbalanced delimiters and .EQ/.EN pairs.

         If no filenames are specified, eqn and neqn read 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 beginning with .EN.  Neither
         of these lines is altered, so they may be defined in macro packages
         to get centering, numbering, etc.  It is also possible to set two
         characters as ``delimiters''; subsequent text between delimiters is
         also treated as eqn input.

         The following options are available for eqn and neqn:

         -dxy  Set equation delimiters set to characters x and y with the
               command-line argument.  The more common way to do this is with
               delimxy between .EQ and .EN.  The left and right delimiters may
               be identical.  Delimiters are turned off by delim off appearing
               in the text.  All text that is neither between delimiters nor
               between .EQ and .EN is passed through untouched.

         -fn   Change font to n globally in the document.  The font can also
               be changed globally in the body of the document by using the
               gfont directive.

         -pn   Reduce subscripts and superscripts by n point sizes from the
               previous size.  In the absence of the -p option, subscripts and
               superscripts are reduced by 3 point sizes from the previous
               size.

         -sn   Set equations in point size n globally in the document.  The
               point size can also be changed globally in the body of the
               document by using the gsize directive.

         -Tdev Prepare output for device dev.  If no -T option is present, eqn
               looks at the environment variable TYPESETTER to see what the
               intended output device is.  If no such variable is found in the


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   eqn(1)                  (BSD Compatibility Package)                  eqn(1)


               environment, a system-dependent default device is assumed.  Not
               available using neqn.

   USAGE
      eqn Language
         Tokens within eqn are separated by braces, double quotes, tildes,
         circumflexes, SPACE, TAB, or NEWLINE characters.  Braces {} are used
         for grouping; generally speaking, anywhere a single character like x
         could appear, a complicated construction enclosed in braces may be
         used instead. Tilde (~) represents a full SPACE in the output,
         circumflex (^) half as much.

         Subscripts and superscripts are produced with the keywords subaa
n
d
n
d`e sup.{xTsup 2x+subsip 2}'
k
eg
s
ive
x
i
s
,
e
x2
`
aysub i sup 2' produces ai a. Fractions are made with over: `a over b' yields b sqrt makes square roots: `1 over down 10 sqrt {ax sup 2 +bx+c}' results in _____1____. ________ \|ax2+bx+c Although eqn tries to get most things at the right place on the paper, occasionally you will need to tune the output to make it just right. In the previous example, a local motion, down 10 was used to get more space between the square root and the line above it. The keywords from and tonintroduce lower and upper limits on arbitrary things: lim ≳xi is made with `lim from {n-> inf } sum from 0 to n x sub i'
n
-
.
>oo0 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 | | y2| = 1. |x2+α | The right clause is
|
optional. Legal characters after left and right are braces, brackets, bars, c and f for ceiling and floor, and "" for nothing at all (useful for a right-side-only bracket). Vertical piles of things are made wia
t
h pile, lpile, cpile, and rpile: `pile {a above b above c}' produces b. There can be an arbitrary number of elements in a pile. lpile c
l
eft-justifies, pile and cpile center, with different vertical spacing, and rpile right justifies. Matrices are made with matrix: `matrix { lcol { x sub i above y sub 2 } ccol { 1 above 2 } }' produces xi y2 1 2 . In addition, there is rcol Page 2 7/91




   eqn(1)                  (BSD Compatibility Package)                  eqn(1)


         for a right-justified column.

         Diacritical marks are made with dot, dotdot,_hat, tilde, bar, vec,
         dyad, and under:  `x dot = f(t) bar' is x=f(t), `y dotdot bar ~=~ n
         under' is y  = n, and `x vec ~=~ y dyad' is x = y.

         Sizes and font can be changed with size n or size +n, roman, italic,
         bold, and font n.  Size and fonts can be changed globally in a
         document by gsize n and gfont n, or by the command-line arguments -sn
         and -fn.

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

         Shorthands may be defined or existing keywords redefined with define:

               define thing % replacement %

         defines a new token called thing which will be replaced by
         replacement whenever it appears thereafter.  The % may be any
         character that does not occur in replacement.

         Keywords like sum (≳), int (∫), inf (oo), and shorthands like >= (>),
         -> (->), and != (≠) are recognized.  Greek letters are spelled out in
         the desired case, as in alpha or GAMMA.  Mathematical words like sin,
         cos, and log are made Roman automatically.  troff(1) four-character
         escapes like \(bu (⊕) can be used anywhere.  Strings enclosed in
         double quotes "..."  are passed through untouched; this permits
         keywords to be entered as text, and can be used to communicate with
         troff when all else fails.

   EXAMPLE
               eqn filename ... | troff

               neqn filename ... | nroff

   SEE ALSO
         tbl(1), troff(1), eqnchar(7), ms(7)

   NOTES
         To embolden digits, parens, etc., it is necessary to quote them, as
         in bold "12.3".










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