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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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