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|00000050| 25 20 42 65 67 69 6e 6e | 69 6e 67 20 6f 66 20 64 |% Beginn|ing of d|
|00000060| 69 6d 61 63 73 2d 6c 2e | 74 65 78 0a 25 2d 2d 2d |imacs-l.|tex.%---|
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|000000c0| 69 73 20 69 73 20 61 20 | 73 61 6d 70 6c 65 20 66 |is is a |sample f|
|000000d0| 69 6c 65 20 66 6f 72 20 | 75 73 65 20 77 69 74 68 |ile for |use with|
|000000e0| 20 41 4d 53 2d 4c 61 54 | 65 58 2e 20 49 74 20 70 | AMS-LaT|eX. It p|
|000000f0| 72 6f 76 69 64 65 73 20 | 61 6e 20 65 78 61 6d 70 |rovides |an examp|
|00000100| 6c 65 20 6f 66 0a 25 20 | 68 6f 77 20 74 6f 20 73 |le of.% |how to s|
|00000110| 65 74 20 75 70 20 61 20 | 66 69 6c 65 20 74 6f 20 |et up a |file to |
|00000120| 62 65 20 74 79 70 65 73 | 65 74 20 77 69 74 68 20 |be types|et with |
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|00000180| 25 0a 5c 64 6f 63 75 6d | 65 6e 74 73 74 79 6c 65 |%.\docum|entstyle|
|00000190| 7b 64 69 6d 61 63 73 2d | 6c 7d 0a 0a 5c 6e 65 77 |{dimacs-|l}..\new|
|000001a0| 74 68 65 6f 72 65 6d 7b | 6c 65 6d 6d 61 7d 7b 4c |theorem{|lemma}{L|
|000001b0| 65 6d 6d 61 7d 5b 73 65 | 63 74 69 6f 6e 5d 0a 5c |emma}[se|ction].\|
|000001c0| 6e 65 77 74 68 65 6f 72 | 65 6d 7b 74 68 65 6f 72 |newtheor|em{theor|
|000001d0| 65 6d 7d 7b 54 68 65 6f | 72 65 6d 7d 5b 73 65 63 |em}{Theo|rem}[sec|
|000001e0| 74 69 6f 6e 5d 0a 5c 6e | 65 77 74 68 65 6f 72 65 |tion].\n|ewtheore|
|000001f0| 6d 7b 64 65 66 69 6e 69 | 74 69 6f 6e 7d 7b 44 65 |m{defini|tion}{De|
|00000200| 66 69 6e 69 74 69 6f 6e | 7d 5b 73 65 63 74 69 6f |finition|}[sectio|
|00000210| 6e 5d 0a 0a 5c 74 68 65 | 6f 72 65 6d 73 74 79 6c |n]..\the|oremstyl|
|00000220| 65 7b 64 65 66 69 6e 69 | 74 69 6f 6e 7d 0a 5c 6e |e{defini|tion}.\n|
|00000230| 65 77 74 68 65 6f 72 65 | 6d 7b 65 78 61 6d 70 6c |ewtheore|m{exampl|
|00000240| 65 7d 7b 45 78 61 6d 70 | 6c 65 7d 5b 73 65 63 74 |e}{Examp|le}[sect|
|00000250| 69 6f 6e 5d 0a 0a 5c 6e | 75 6d 62 65 72 77 69 74 |ion]..\n|umberwit|
|00000260| 68 69 6e 7b 65 71 75 61 | 74 69 6f 6e 7d 7b 73 65 |hin{equa|tion}{se|
|00000270| 63 74 69 6f 6e 7d 0a 0a | 5c 62 65 67 69 6e 7b 64 |ction}..|\begin{d|
|00000280| 6f 63 75 6d 65 6e 74 7d | 0a 0a 5c 74 69 74 6c 65 |ocument}|..\title|
|00000290| 5b 4d 41 58 49 4d 41 4c | 20 49 44 45 41 4c 53 20 |[MAXIMAL| IDEALS |
|000002a0| 49 4e 20 53 55 42 41 4c | 47 45 42 52 41 53 20 4f |IN SUBAL|GEBRAS O|
|000002b0| 46 20 24 43 28 58 29 24 | 5d 7b 53 61 6d 70 6c 65 |F $C(X)$|]{Sample|
|000002c0| 20 50 61 70 65 72 20 66 | 6f 72 20 44 49 4d 41 43 | Paper f|or DIMAC|
|000002d0| 53 2c 5c 5c 0a 4f 6e 20 | 4d 61 78 69 6d 61 6c 20 |S,\\.On |Maximal |
|000002e0| 49 64 65 61 6c 73 20 69 | 6e 20 53 75 62 61 6c 67 |Ideals i|n Subalg|
|000002f0| 65 62 72 61 73 20 6f 66 | 20 24 43 28 58 29 24 7d |ebras of| $C(X)$}|
|00000300| 0a 5c 61 75 74 68 6f 72 | 5b 41 55 54 48 4f 52 20 |.\author|[AUTHOR |
|00000310| 4f 4e 45 20 41 4e 44 20 | 41 55 54 48 4f 52 20 54 |ONE AND |AUTHOR T|
|00000320| 57 4f 5d 7b 41 75 74 68 | 6f 72 20 4f 6e 65 20 61 |WO]{Auth|or One a|
|00000330| 6e 64 20 41 75 74 68 6f | 72 20 54 77 6f 7d 0a 5c |nd Autho|r Two}.\|
|00000340| 61 64 64 72 65 73 73 7b | 44 65 70 61 72 74 6d 65 |address{|Departme|
|00000350| 6e 74 20 6f 66 20 4d 61 | 74 68 65 6d 61 74 69 63 |nt of Ma|thematic|
|00000360| 73 2c 20 4e 6f 72 74 68 | 65 61 73 74 65 72 6e 20 |s, North|eastern |
|00000370| 55 6e 69 76 65 72 73 69 | 74 79 2c 20 42 6f 73 74 |Universi|ty, Bost|
|00000380| 6f 6e 2c 0a 4d 61 73 73 | 61 63 68 75 73 65 74 74 |on,.Mass|achusett|
|00000390| 73 20 30 32 31 31 35 7d | 20 25 20 52 65 73 65 61 |s 02115}| % Resea|
|000003a0| 72 63 68 20 61 64 64 72 | 65 73 73 20 66 6f 72 20 |rch addr|ess for |
|000003b0| 61 75 74 68 6f 72 20 6f | 6e 65 0a 5c 63 75 72 72 |author o|ne.\curr|
|000003c0| 61 64 64 72 7b 44 65 70 | 61 72 74 6d 65 6e 74 20 |addr{Dep|artment |
|000003d0| 6f 66 20 4d 61 74 68 65 | 6d 61 74 69 63 73 20 61 |of Mathe|matics a|
|000003e0| 6e 64 20 53 74 61 74 69 | 73 74 69 63 73 2c 0a 43 |nd Stati|stics,.C|
|000003f0| 61 73 65 20 57 65 73 74 | 65 72 6e 20 52 65 73 65 |ase West|ern Rese|
|00000400| 72 76 65 20 55 6e 69 76 | 65 72 73 69 74 79 2c 20 |rve Univ|ersity, |
|00000410| 43 6c 65 76 65 6c 61 6e | 64 2c 20 4f 68 69 6f 20 |Clevelan|d, Ohio |
|00000420| 34 33 34 30 33 7d 0a 5c | 65 6d 61 69 6c 7b 58 59 |43403}.\|email{XY|
|00000430| 5a 40 40 4d 61 74 68 2e | 41 4d 53 2e 63 6f 6d 7d |Z@@Math.|AMS.com}|
|00000440| 0a 5c 61 64 64 72 65 73 | 73 7b 4d 61 74 68 65 6d |.\addres|s{Mathem|
|00000450| 61 74 69 63 61 6c 20 52 | 65 73 65 61 72 63 68 20 |atical R|esearch |
|00000460| 53 65 63 74 69 6f 6e 2c | 20 53 63 68 6f 6f 6c 20 |Section,| School |
|00000470| 6f 66 20 4d 61 74 68 65 | 6d 61 74 69 63 61 6c 20 |of Mathe|matical |
|00000480| 53 63 69 65 6e 63 65 73 | 2c 0a 41 75 73 74 72 61 |Sciences|,.Austra|
|00000490| 6c 69 61 6e 20 4e 61 74 | 69 6f 6e 61 6c 20 55 6e |lian Nat|ional Un|
|000004a0| 69 76 65 72 73 69 74 79 | 2c 20 43 61 6e 62 65 72 |iversity|, Canber|
|000004b0| 72 61 20 41 43 54 20 32 | 36 30 31 2c 20 41 75 73 |ra ACT 2|601, Aus|
|000004c0| 74 72 61 6c 69 61 7d 20 | 25 61 64 64 72 65 73 73 |tralia} |%address|
|000004d0| 20 66 6f 72 20 0a 25 20 | 20 20 20 20 20 20 20 20 | for .% |        |
|000004e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000004f0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00000500| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00000510| 20 20 20 20 61 75 74 68 | 6f 72 20 74 77 6f 0a 0a |    auth|or two..|
|00000520| 5c 73 75 62 6a 63 6c 61 | 73 73 7b 50 72 69 6d 61 |\subjcla|ss{Prima|
|00000530| 72 79 20 35 34 43 34 30 | 2c 20 31 34 45 32 30 3b |ry 54C40|, 14E20;|
|00000540| 20 53 65 63 6f 6e 64 61 | 72 79 20 34 36 45 32 35 | Seconda|ry 46E25|
|00000550| 2c 20 32 30 43 32 30 7d | 0a 5c 64 61 74 65 7b 4a |, 20C20}|.\date{J|
|00000560| 75 6c 79 20 32 2c 20 31 | 39 39 31 7d 0a 0a 25 20 |uly 2, 1|991}..% |
|00000570| 20 5c 74 68 61 6e 6b 73 | 20 77 69 6c 6c 20 62 65 | \thanks| will be|
|00000580| 63 6f 6d 65 20 61 20 31 | 73 74 20 70 61 67 65 20 |come a 1|st page |
|00000590| 66 6f 6f 74 6e 6f 74 65 | 2e 0a 5c 74 68 61 6e 6b |footnote|..\thank|
|000005a0| 73 7b 54 68 65 20 66 69 | 72 73 74 20 61 75 74 68 |s{The fi|rst auth|
|000005b0| 6f 72 20 77 61 73 20 73 | 75 70 70 6f 72 74 65 64 |or was s|upported|
|000005c0| 20 69 6e 20 70 61 72 74 | 20 62 79 20 4e 53 46 0a | in part| by NSF.|
|000005d0| 47 72 61 6e 74 20 5c 23 | 30 30 30 30 30 30 2e 7d |Grant \#|000000.}|
|000005e0| 0a 5c 74 68 61 6e 6b 73 | 7b 54 68 65 20 66 69 6e |.\thanks|{The fin|
|000005f0| 61 6c 20 76 65 72 73 69 | 6f 6e 20 6f 66 20 74 68 |al versi|on of th|
|00000600| 69 73 20 70 61 70 65 72 | 20 77 69 6c 6c 20 62 65 |is paper| will be|
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|00000620| 75 62 6c 69 63 61 74 69 | 6f 6e 20 65 6c 73 65 77 |ublicati|on elsew|
|00000630| 68 65 72 65 2e 7d 0a 0a | 5c 6d 61 6b 65 74 69 74 |here.}..|\maketit|
|00000640| 6c 65 0a 0a 5c 62 65 67 | 69 6e 7b 61 62 73 74 72 |le..\beg|in{abstr|
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|00000660| 69 73 20 61 20 73 61 6d | 70 6c 65 20 70 72 65 70 |is a sam|ple prep|
|00000670| 61 72 65 64 20 74 6f 20 | 69 6c 6c 75 73 74 72 61 |ared to |illustra|
|00000680| 74 65 20 66 6f 72 20 61 | 75 74 68 6f 72 73 0a 74 |te for a|uthors.t|
|00000690| 68 65 20 75 73 65 20 6f | 66 20 74 68 65 20 5c 41 |he use o|f the \A|
|000006a0| 6d 53 2d 5c 4c 61 54 65 | 58 7b 7d 20 56 65 72 73 |mS-\LaTe|X{} Vers|
|000006b0| 69 6f 6e 7e 31 2e 31 20 | 70 61 63 6b 61 67 65 20 |ion~1.1 |package |
|000006c0| 61 6e 64 20 74 68 65 20 | 44 49 4d 41 43 53 20 64 |and the |DIMACS d|
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|00000720| 74 68 6f 72 0a 73 68 6f | 75 6c 64 20 75 73 65 20 |thor.sho|uld use |
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|00000780| 20 73 61 6d 70 6c 65 20 | 70 61 70 65 72 20 69 6c | sample |paper il|
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|000007b0| 73 74 79 6c 65 20 66 69 | 6c 65 20 6f 66 0a 5c 41 |style fi|le of.\A|
|000007c0| 6d 53 2d 5c 4c 61 54 65 | 58 7b 7d 20 56 65 72 73 |mS-\LaTe|X{} Vers|
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|000007e0| 69 74 69 6f 6e 61 6c 20 | 6d 61 63 72 6f 73 20 66 |itional |macros f|
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|00000800| 69 74 0a 44 49 4d 41 43 | 53 20 53 65 72 69 65 73 |it.DIMAC|S Series|
|00000810| 20 69 6e 20 44 69 73 63 | 72 65 74 65 20 4d 61 74 | in Disc|rete Mat|
|00000820| 68 65 6d 61 74 69 63 73 | 20 61 6e 64 20 54 68 65 |hematics| and The|
|00000830| 6f 72 65 74 69 63 61 6c | 20 43 6f 6d 70 75 74 65 |oretical| Compute|
|00000840| 72 20 53 63 69 65 6e 63 | 65 7d 2e 0a 49 6e 20 74 |r Scienc|e}..In t|
|00000850| 68 69 73 20 73 61 6d 70 | 6c 65 20 70 61 70 65 72 |his samp|le paper|
|00000860| 2c 20 62 72 69 65 66 20 | 69 6e 73 74 72 75 63 74 |, brief |instruct|
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|000009b0| 79 0a 4c 65 73 6c 69 65 | 20 4c 61 6d 70 6f 72 74 |y.Leslie| Lamport|
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|000009f0| 54 68 65 20 69 6e 70 75 | 74 20 66 6f 72 6d 61 74 |The inpu|t format|
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|00000af0| 74 68 6f 72 20 61 6e 64 | 20 61 0a 66 65 77 20 74 |thor and| a.few t|
|00000b00| 68 61 74 20 61 72 65 20 | 70 72 6f 76 69 64 65 64 |hat are |provided|
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|00000db0| 65 73 73 65 73 20 61 72 | 65 20 67 69 76 65 6e 20 |esses ar|e given |
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|000036c0| 20 55 6e 69 76 2e 20 4e | 65 62 72 61 73 6b 61 2d | Univ. N|ebraska-|
|000036d0| 4c 69 6e 63 6f 6c 6e 2c | 20 31 39 38 38 2e 0a 0a |Lincoln,| 1988...|
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|00003750| 74 69 6f 6e 73 7d 20 28 | 74 6f 20 61 70 70 65 61 |tions} (|to appea|
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|00003770| 72 6d 61 6e 65 6b 3a 67 | 65 6e 65 72 7d 0a 45 2e |rmanek:g|ener}.E.|
|00003780| 20 46 6f 72 6d 61 6e 65 | 6b 2c 0a 7b 5c 65 6d 20 | Formane|k,.{\em |
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|000037c0| 72 65 20 4e 6f 74 65 73 | 20 69 6e 20 4d 61 74 68 |re Notes| in Math|
|000037d0| 2e 2c 20 76 6f 6c 2e 20 | 31 31 39 37 2c 0a 53 70 |., vol. |1197,.Sp|
|000037e0| 72 69 6e 67 65 72 2d 56 | 65 72 6c 61 67 2c 20 42 |ringer-V|erlag, B|
|000037f0| 65 72 6c 69 6e 20 61 6e | 64 20 4e 65 77 20 59 6f |erlin an|d New Yo|
|00003800| 72 6b 2c 0a 31 39 38 36 | 2c 20 70 70 2e 20 37 33 |rk,.1986|, pp. 73|
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|00003840| 79 6e 6f 6d 69 61 6c 20 | 66 6c 6f 77 73 20 6f 6e |ynomial |flows on|
|00003850| 20 24 5c 68 62 6f 78 7b | 5c 62 66 20 52 7d 5e 6e | $\hbox{|\bf R}^n|
|00003860| 24 7d 2c 0a 50 72 6f 63 | 2e 20 53 65 6d 65 73 74 |$},.Proc|. Semest|
|00003870| 65 72 20 6f 6e 20 44 79 | 6e 61 6d 69 63 61 6c 20 |er on Dy|namical |
|00003880| 53 79 73 74 65 6d 73 20 | 28 57 61 72 73 61 77 2c |Systems |(Warsaw,|
|00003890| 20 41 75 74 75 6d 6e 20 | 31 39 38 36 29 2c 0a 53 | Autumn |1986),.S|
|000038a0| 70 72 69 6e 67 65 72 2d | 56 65 72 6c 61 67 2c 0a |pringer-|Verlag,.|
|000038b0| 42 65 72 6c 69 6e 2c 20 | 48 65 69 64 65 6c 62 65 |Berlin, |Heidelbe|
|000038c0| 72 67 2c 20 61 6e 64 20 | 4e 65 77 20 59 6f 72 6b |rg, and |New York|
|000038d0| 0a 28 74 6f 20 61 70 70 | 65 61 72 29 2e 0a 0a 5c |.(to app|ear)...\|
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|00003940| 6d 65 72 69 63 61 6c 20 | 4d 65 74 68 6f 64 73 20 |merical |Methods |
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|00003980| 72 61 6e 20 61 6e 64 20 | 54 2e 20 48 2e 20 4d 6f |ran and |T. H. Mo|
|00003990| 75 6c 74 6f 6e 2c 20 65 | 64 73 2e 29 2c 0a 20 20 |ulton, e|ds.),.  |
|000039a0| 4c 6f 6e 67 6d 61 6e 2c | 20 4e 65 77 20 59 6f 72 |Longman,| New Yor|
|000039b0| 6b 2c 20 31 39 38 36 2c | 20 70 70 2e 20 33 30 35 |k, 1986,| pp. 305|
|000039c0| 2d 2d 33 32 32 2e 0a 0a | 5c 62 69 62 69 74 65 6d |--322...|\bibitem|
|000039d0| 7b 6f 73 74 72 6f 3a 6e | 6f 6e 6c 69 6e 7d 0a 4c |{ostro:n|onlin}.L|
|000039e0| 2e 20 41 2e 20 4f 73 74 | 72 6f 76 73 6b 79 2c 0a |. A. Ost|rovsky,.|
|000039f0| 7b 5c 65 6d 20 4e 6f 6e | 6c 69 6e 65 61 72 20 69 |{\em Non|linear i|
|00003a00| 6e 74 65 72 6e 61 6c 20 | 77 61 76 65 73 20 69 6e |nternal |waves in|
|00003a10| 20 61 20 72 6f 74 61 74 | 69 6e 67 20 6f 63 65 61 | a rotat|ing ocea|
|00003a20| 6e 7d 2c 0a 50 61 72 74 | 20 32 2c 20 4f 63 65 61 |n},.Part| 2, Ocea|
|00003a30| 6e 6f 6c 6f 67 79 20 7b | 5c 62 66 20 31 38 7d 20 |nology {|\bf 18} |
|00003a40| 28 31 39 37 38 29 2c 20 | 31 38 31 2d 2d 31 39 31 |(1978), |181--191|
|00003a50| 2e 0a 0a 5c 62 69 62 69 | 74 65 6d 7b 70 65 74 72 |...\bibi|tem{petr|
|00003a60| 6f 76 3a 65 6c 6c 69 70 | 7d 0a 47 2e 20 53 2e 20 |ov:ellip|}.G. S. |
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|00003ac0| 20 41 6e 61 6c 2e 20 69 | 20 50 72 69 5c 2d 6c 6f | Anal. i| Pri\-lo|
|00003ad0| 5c 2d 7a 68 65 6e 2e 20 | 7b 5c 62 66 20 32 30 7d |\-zhen. |{\bf 20}|
|00003ae0| 20 28 31 39 38 36 29 2c | 20 34 36 2d 2d 34 39 3b | (1986),| 46--49;|
|00003af0| 0a 45 6e 67 6c 69 73 68 | 20 74 72 61 6e 73 6c 2e |.English| transl.|
|00003b00| 20 69 6e 20 46 75 6e 63 | 74 69 6f 6e 61 6c 20 41 | in Func|tional A|
|00003b10| 6e 61 6c 2e 20 41 70 70 | 6c 2e 20 7b 5c 62 66 20 |nal. App|l. {\bf |
|00003b20| 32 30 7d 20 28 31 39 38 | 36 29 2e 0a 0a 5c 62 69 |20} (198|6)...\bi|
|00003b30| 62 69 74 65 6d 7b 73 70 | 69 76 61 6b 3a 6a 6f 74 |bitem{sp|ivak:jot|
|00003b40| 7d 0a 4d 2e 20 44 2e 20 | 53 70 69 76 61 6b 2c 0a |}.M. D. |Spivak,.|
|00003b50| 7b 5c 65 6d 20 54 68 65 | 20 4a 6f 79 20 6f 66 20 |{\em The| Joy of |
|00003b60| 5c 54 65 58 7b 7d 7d 2c | 20 73 65 63 6f 6e 64 20 |\TeX{}},| second |
|00003b70| 65 64 69 74 69 6f 6e 2c | 20 41 6d 65 72 2e 20 4d |edition,| Amer. M|
|00003b80| 61 74 68 2e 20 53 6f 63 | 2e 2c 20 50 72 6f 76 69 |ath. Soc|., Provi|
|00003b90| 64 65 6e 63 65 2c 20 52 | 2e 7e 49 2e 2c 20 0a 31 |dence, R|.~I., .1|
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|00003bb0| 61 6d 70 6f 72 74 3a 6c | 61 74 65 78 7d 20 4c 65 |amport:l|atex} Le|
|00003bc0| 73 6c 69 65 20 4c 61 6d | 70 6f 72 74 2c 20 7b 5c |slie Lam|port, {\|
|00003bd0| 65 6d 20 5c 4c 61 54 65 | 58 7b 7d 20 2d 2d 20 41 |em \LaTe|X{} -- A|
|00003be0| 20 44 6f 63 75 6d 65 6e | 74 20 50 72 65 70 61 72 | Documen|t Prepar|
|00003bf0| 61 74 69 6f 6e 0a 53 79 | 73 74 65 6d 7d 2c 20 41 |ation.Sy|stem}, A|
|00003c00| 64 64 69 73 6f 6e 2d 57 | 65 73 6c 65 79 2c 20 52 |ddison-W|esley, R|
|00003c10| 65 61 64 69 6e 67 2c 20 | 4d 61 73 73 2e 2c 20 31 |eading, |Mass., 1|
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|00003c30| 62 6c 69 6f 67 72 61 70 | 68 79 7d 0a 0a 5c 65 6e |bliograp|hy}..\en|
|00003c40| 64 7b 64 6f 63 75 6d 65 | 6e 74 7d 0a 0a 25 2d 2d |d{docume|nt}..%--|
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|00003c80| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |--------|--------|
|00003c90| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 0a 25 20 45 |--------|----.% E|
|00003ca0| 6e 64 20 6f 66 20 64 69 | 6d 61 63 73 2d 6c 2e 74 |nd of di|macs-l.t|
|00003cb0| 65 78 0a 25 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |ex.%----|--------|
|00003cc0| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |--------|--------|
|00003cd0| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |--------|--------|
|00003ce0| 2d 2d 2d 2d 2d 2d 2d 2d | 2d 2d 2d 2d 2d 2d 2d 2d |--------|--------|
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|00003d00| 2d 2d 0a                |                         |--.     |        |
+--------+-------------------------+-------------------------+--------+--------+