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1.1       root        1: .\"    @(#)g0  6.1 (Berkeley) 5/22/86
                      2: .\"
                      3: .EH 'USD:27-%''Typesetting Mathematics _ User\'s Guide'
                      4: .OH 'Typesetting Mathematics _ User\'s Guide''USD:27-%'
                      5: .EQ
                      6: delim $$
                      7: .EN
                      8: \".ND "June 2, 1976"
                      9: .\".RP
                     10: \".TM "76-1273-4 76-1271-4" 39199 39199-11
                     11: .TL
                     12: Typesetting Mathematics _ User's Guide
                     13: \&\ \ \ \ \ (Second\ Edition)
                     14: .AU 2C-518 6021
                     15: Brian W. Kernighan and Lorinda L. Cherry
                     16: .AI
                     17: .MH
                     18: .AB
                     19: .in
                     20: .ll
                     21: .PP
                     22: This is the user's guide for a system for typesetting
                     23: mathematics,
                     24: using
                     25: the phototypesetters on the
                     26: .UX
                     27: operating system.
                     28: .PP
                     29: Mathematical expressions are described in a language
                     30: designed to be easy to use
                     31: by people who know neither mathematics nor typesetting.
                     32: Enough of the language to set in-line expressions like
                     33: $lim from {x-> pi /2} ( tan~x) sup{sin~2x}~=~1$
                     34: or display equations like
                     35: .in .5i
                     36: .EQ I
                     37: G(z)~mark =~ e sup { ln ~ G(z) }
                     38: ~=~ exp left ( 
                     39: sum from k>=1 {S sub k z sup k} over k right )
                     40: ~=~  prod from k>=1 e sup {S sub k z sup k /k}
                     41: .EN
                     42: .EQ I
                     43: lineup = left ( 1 + S sub 1 z + 
                     44: { S sub 1 sup 2 z sup 2 } over 2! + ... right )
                     45: left ( 1+ { S sub 2 z sup 2 } over 2
                     46: + { S sub 2 sup 2 z sup 4 } over { 2 sup 2 cdot 2! }
                     47: + ... right ) ...
                     48: .EN
                     49: .EQ I
                     50: lineup =  sum from m>=0 left (
                     51: sum from
                     52: pile { k sub 1 ,k sub 2 ,..., k sub m  >=0
                     53: above
                     54: k sub 1 +2k sub 2 + ... +mk sub m =m}
                     55: { S sub 1 sup {k sub 1} } over {1 sup k sub 1 k sub 1 ! } ~
                     56: { S sub 2 sup {k sub 2} } over {2 sup k sub 2 k sub 2 ! } ~
                     57: ...
                     58: { S sub m sup {k sub m} } over {m sup k sub m k sub m ! } 
                     59: right ) z sup m
                     60: .EN
                     61: .in 0
                     62: can be learned in an hour or so.
                     63: .PP
                     64: The language interfaces directly with
                     65: the phototypesetting language
                     66: .UC TROFF ,
                     67: so mathematical expressions can be embedded in the running
                     68: text
                     69: of a manuscript,
                     70: and the entire document produced in one process.
                     71: This user's guide is an example of its output.
                     72: .PP
                     73: The same language
                     74: may be used with the 
                     75: .UC UNIX
                     76: formatter
                     77: .UC NROFF
                     78: to set mathematical expressions on 
                     79: .UC DASI
                     80: and
                     81: .UC GSI
                     82: terminals
                     83: and Model 37 teletypes.
                     84: .AE
                     85: .CS 11 0 11 0 0 3

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