NAME

eqn, neqn, checkeq − typeset mathematics

SYNOPSIS

eqn [ −dxy ] [ −pn ] [ −sn ] [ −fn ] [ filename ] ...
neqn [ filename ] ...
checkeq [ filename ] ...

DESCRIPTION

Eqn (and neqn) 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.  Usage is almost always:

tutorial% eqn file ... | troff
tutorial% neqn file ... | nroff

If no files 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. 

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

OPTIONS

−dxySet equation delimiters set to characters x and y with the command-line argument.  The more common way to do this is with ‘delim xy’ 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.

−pnReduce 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. 

−snChange point size to n globally in the document.  The point size can also be changed globally in the body of the document by using the gsize directive. 

−fnChange 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. 

EQN LANGUAGE

Tokens within eqn are separated by spaces, tabs, newlines, braces, double quotes, tildes or circumflexes.  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 sub and sup.  Thus x sub i makesxi, a sub i sup 2 producesai2, and e sup {x sup 2 + y sup 2} gives ex2+y2. 

Fractions are made with over: a over b yieldsa over b. 

sqrt makes square roots: 1 over sqrt {ax sup 2 +bx+c} results in1 over √ax2+bx+c . 

The keywords from and to introduce lower and upper limits on arbitrary things:limn→∞n∑0xi 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
⎡
⎢
⎣x2+y2 over α
⎤
⎥
⎦ = 1.  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 with pile, lpile, cpile, and rpile: pile {a above b above c} producesa
b
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. 

Matrices are made with matrix: matrix { lcol { x sub i above y sub 2 } ccol { 1 above 2 } } producesxi
y21
2.  In addition, there is rcol for a right-justified column. 

Diacritical marks are made with dot, dotdot, hat, tilde, bar, vec, dyad, and under: x dot = f(t) bar isẋ=f(t), y dotdot bar ~=~ n under isÿ = n, and x vec ~=~ y dyad isx⃗ = y⃡. 

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 (∞),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, 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. 

SEE ALSO

Formatting Documents on the Sun Workstation
troff(1), tbl(1), ms(7), eqnchar(7)

BUGS

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

Sun Release 3.0β  —  Last change: 1 February 1985