home *** CD-ROM | disk | FTP | other *** search
/ Language/OS - Multiplatform Resource Library / LANGUAGE OS.iso / self / contrib.lha / contrib / 491 / doc / firstReport.tex next >
LaTeX Document  |  1993-06-06  |  5.1 KB

open in: MacOS 8.1     |     Win98     |     DOS

browse contents    |     view JSON data     |     view as text


This file was processed as: LaTeX Document (document/latex).

ConfidenceProgramDetectionMatch TypeSupport
100% dexvert LaTeX Document (document/latex) magic Supported
99% dexvert Texinfo Document (document/texInfo) magic Supported
1% dexvert Text File (text/txt) fallback Supported
100% file LaTeX document text default
99% file TeX document text default
98% file LaTeX document, ASCII text default
100% checkBytes Printable ASCII default
100% perlTextCheck Likely Text (Perl) default
100% siegfried fmt/281 LaTeX (Subdocument) default
100% detectItEasy Format: plain text[LF] default (weak)



hex view
+--------+-------------------------+-------------------------+--------+--------+
|00000000| 5c 64 6f 63 75 6d 65 6e | 74 73 74 79 6c 65 5b 69 |\documen|tstyle[i|
|00000010| 6e 73 65 72 74 70 6c 6f | 74 5d 7b 61 72 74 69 63 |nsertplo|t]{artic|
|00000020| 6c 65 7d 0a 5c 69 6e 70 | 75 74 20 70 72 65 70 69 |le}.\inp|ut prepi|
|00000030| 63 74 65 78 0a 5c 69 6e | 70 75 74 20 70 69 63 74 |ctex.\in|put pict|
|00000040| 65 78 0a 5c 69 6e 70 75 | 74 20 70 6f 73 74 70 69 |ex.\inpu|t postpi|
|00000050| 63 74 65 78 0a 5c 62 65 | 67 69 6e 7b 64 6f 63 75 |ctex.\be|gin{docu|
|00000060| 6d 65 6e 74 7d 0a 5c 74 | 69 74 6c 65 7b 46 69 72 |ment}.\t|itle{Fir|
|00000070| 73 74 20 72 65 70 6f 72 | 74 20 6f 66 20 74 68 65 |st repor|t of the|
|00000080| 20 41 6c 67 72 65 62 72 | 61 20 41 73 73 69 73 74 | Algrebr|a Assist|
|00000090| 61 6e 74 7d 0a 5c 61 75 | 74 68 6f 72 7b 4d 69 63 |ant}.\au|thor{Mic|
|000000a0| 68 61 65 6c 20 52 69 63 | 68 61 72 64 73 6f 6e 5c |hael Ric|hardson\|
|000000b0| 5c 0a 6d 63 72 40 70 68 | 79 73 69 63 73 2e 63 61 |\.mcr@ph|ysics.ca|
|000000c0| 72 6c 65 74 6f 6e 2e 63 | 61 7d 0a 5c 64 61 74 65 |rleton.c|a}.\date|
|000000d0| 7b 5c 74 6f 64 61 79 7d | 0a 5c 6d 61 6b 65 74 69 |{\today}|.\maketi|
|000000e0| 74 6c 65 0a 5c 70 61 67 | 65 62 72 65 61 6b 0a 5c |tle.\pag|ebreak.\|
|000000f0| 73 65 63 74 69 6f 6e 7b | 4f 76 65 72 76 69 65 77 |section{|Overview|
|00000100| 7d 0a 0a 54 68 65 20 41 | 6c 67 65 62 72 61 20 41 |}..The A|lgebra A|
|00000110| 73 73 69 73 74 61 6e 74 | 20 69 73 20 61 20 70 72 |ssistant| is a pr|
|00000120| 6f 6a 65 63 74 20 74 6f | 20 62 75 69 6c 64 20 61 |oject to| build a|
|00000130| 6e 20 69 6e 74 65 72 61 | 63 74 69 76 65 20 65 71 |n intera|ctive eq|
|00000140| 75 61 74 69 6f 6e 0a 65 | 64 69 74 6f 72 20 74 68 |uation.e|ditor th|
|00000150| 61 74 20 70 72 6f 6d 6f | 74 65 73 20 65 78 70 6c |at promo|tes expl|
|00000160| 6f 72 61 74 69 6f 6e 20 | 6f 66 20 6d 61 74 68 65 |oration |of mathe|
|00000170| 6d 61 74 69 63 73 20 62 | 79 20 72 65 6d 6f 76 69 |matics b|y removi|
|00000180| 6e 67 20 73 6f 6d 65 20 | 6f 66 0a 74 68 65 20 74 |ng some |of.the t|
|00000190| 65 64 69 75 6d 20 61 73 | 73 6f 63 69 61 74 65 64 |edium as|sociated|
|000001a0| 20 77 69 74 68 20 64 6f | 69 6e 67 20 61 6c 67 65 | with do|ing alge|
|000001b0| 62 72 61 2e 20 57 69 74 | 68 20 6c 65 73 73 20 74 |bra. Wit|h less t|
|000001c0| 65 64 69 75 6d 2c 20 6c | 65 73 73 0a 65 72 72 6f |edium, l|ess.erro|
|000001d0| 72 73 20 64 75 65 20 74 | 6f 20 69 6e 61 74 74 65 |rs due t|o inatte|
|000001e0| 6e 74 69 6f 6e 20 6f 63 | 63 75 72 2c 20 61 6e 64 |ntion oc|cur, and|
|000001f0| 20 6d 6f 72 65 20 70 6f | 73 73 69 62 6c 65 20 72 | more po|ssible r|
|00000200| 6f 75 74 65 73 20 6f 66 | 20 61 74 74 61 63 6b 0a |outes of| attack.|
|00000210| 63 61 6e 20 62 65 20 63 | 6f 6e 73 69 64 65 72 65 |can be c|onsidere|
|00000220| 64 20 62 65 66 6f 72 65 | 20 66 72 75 73 74 72 61 |d before| frustra|
|00000230| 74 69 6f 6e 20 73 65 74 | 73 20 69 6e 2e 0a 0a 54 |tion set|s in...T|
|00000240| 68 65 20 41 6c 67 65 62 | 72 61 20 41 73 73 69 73 |he Algeb|ra Assis|
|00000250| 74 61 6e 74 20 69 73 20 | 63 6f 6e 63 75 72 65 6e |tant is |concuren|
|00000260| 74 6c 79 20 63 6f 6e 63 | 65 69 76 65 64 20 74 6f |tly conc|eived to|
|00000270| 20 68 61 76 65 20 74 68 | 72 65 65 20 6d 61 6a 6f | have th|ree majo|
|00000280| 72 0a 63 6f 6d 70 6f 6e | 65 6e 74 73 3a 0a 5c 62 |r.compon|ents:.\b|
|00000290| 65 67 69 6e 7b 65 6e 75 | 6d 65 72 61 74 65 7d 0a |egin{enu|merate}.|
|000002a0| 5c 69 74 65 6d 5b 67 72 | 61 70 68 69 63 73 20 69 |\item[gr|aphics i|
|000002b0| 6e 74 65 72 66 61 63 65 | 5d 0a 41 6e 20 58 20 77 |nterface|].An X w|
|000002c0| 69 6e 64 6f 77 20 69 6e | 74 65 72 66 61 63 65 20 |indow in|terface |
|000002d0| 70 72 6f 76 69 64 65 73 | 20 74 68 65 20 6d 61 78 |provides| the max|
|000002e0| 69 6d 75 6d 20 70 6f 72 | 74 61 62 69 6c 69 74 79 |imum por|tability|
|000002f0| 20 66 6f 72 20 74 68 65 | 0a 61 70 70 6c 69 63 61 | for the|.applica|
|00000300| 74 69 6f 6e 2e 20 50 72 | 6f 76 69 64 69 6e 67 20 |tion. Pr|oviding |
|00000310| 67 72 61 70 68 69 63 73 | 20 6e 6f 74 20 6f 6e 6c |graphics| not onl|
|00000320| 79 20 6d 61 6b 65 73 20 | 74 68 65 20 65 71 75 61 |y makes |the equa|
|00000330| 74 69 6f 6e 73 20 6c 6f | 6f 6b 0a 6e 69 63 65 2c |tions lo|ok.nice,|
|00000340| 20 62 75 74 20 61 6c 6c | 6f 77 73 20 74 68 65 20 | but all|ows the |
|00000350| 75 73 65 72 20 74 6f 20 | 72 65 74 61 69 6e 20 61 |user to |retain a|
|00000360| 6c 6c 20 74 68 65 20 70 | 72 69 6f 72 20 6b 6e 6f |ll the p|rior kno|
|00000370| 77 6c 65 64 67 65 20 74 | 68 65 79 0a 6d 69 67 68 |wledge t|hey.migh|
|00000380| 74 20 68 61 76 65 20 77 | 69 74 68 20 61 74 20 74 |t have w|ith at t|
|00000390| 68 65 20 63 68 61 6c 6b | 62 6f 61 72 64 2e 20 41 |he chalk|board. A|
|000003a0| 6e 20 61 73 63 69 69 20 | 69 6e 74 65 72 66 61 63 |n ascii |interfac|
|000003b0| 65 20 77 6f 75 6c 64 20 | 61 74 20 62 65 73 74 20 |e would |at best |
|000003c0| 62 65 0a 61 20 6b 6c 75 | 64 67 65 2c 20 61 6e 64 |be.a klu|dge, and|
|000003d0| 20 77 6f 75 6c 64 20 72 | 65 71 75 69 72 65 20 74 | would r|equire t|
|000003e0| 68 65 20 75 73 65 72 20 | 74 6f 20 6c 65 61 72 6e |he user |to learn|
|000003f0| 20 61 20 6e 65 77 20 73 | 65 74 20 6f 66 20 73 79 | a new s|et of sy|
|00000400| 6d 62 6f 6c 73 2e 0a 0a | 5c 69 74 65 6d 5b 65 64 |mbols...|\item[ed|
|00000410| 69 74 6f 72 5d 0a 54 68 | 65 20 73 79 73 74 65 6d |itor].Th|e system|
|00000420| 20 6d 75 73 74 20 70 72 | 6f 76 69 64 65 20 61 20 | must pr|ovide a |
|00000430| 6d 65 63 68 61 6e 69 73 | 6d 20 74 6f 20 74 61 6b |mechanis|m to tak|
|00000440| 65 20 61 6e 20 65 71 75 | 61 74 69 6f 6e 20 61 6e |e an equ|ation an|
|00000450| 64 20 65 64 69 74 20 69 | 74 20 69 6e 0a 74 68 65 |d edit i|t in.the|
|00000460| 20 6e 6f 72 6d 61 6c 20 | 77 61 79 73 20 74 68 61 | normal |ways tha|
|00000470| 74 20 6f 6e 65 20 74 79 | 70 69 63 61 6c 6c 79 20 |t one ty|pically |
|00000480| 64 6f 65 73 20 6f 6e 20 | 61 20 63 68 61 6c 6b 62 |does on |a chalkb|
|00000490| 6f 61 72 64 3a 20 74 68 | 69 73 20 75 73 75 61 6c |oard: th|is usual|
|000004a0| 6c 79 0a 69 6e 76 6f 6c | 76 65 73 20 77 72 69 74 |ly.invol|ves writ|
|000004b0| 69 6e 67 20 64 6f 77 6e | 20 61 6e 20 65 71 75 61 |ing down| an equa|
|000004c0| 74 69 6f 6e 20 28 70 6f | 73 73 69 62 6c 79 20 67 |tion (po|ssibly g|
|000004d0| 69 76 69 6e 67 20 69 74 | 20 61 20 6e 61 6d 65 29 |iving it| a name)|
|000004e0| 2c 20 61 6e 64 0a 74 68 | 65 6e 20 74 72 61 6e 73 |, and.th|en trans|
|000004f0| 66 6f 72 6d 69 6e 67 20 | 69 74 20 62 79 20 64 6f |forming |it by do|
|00000500| 69 6e 67 20 73 75 62 73 | 74 69 74 75 74 69 6f 6e |ing subs|titution|
|00000510| 73 2c 20 6d 75 6c 74 69 | 70 6c 79 69 6e 67 20 62 |s, multi|plying b|
|00000520| 79 20 75 6e 69 74 79 0a | 28 74 68 61 74 20 69 73 |y unity.|(that is|
|00000530| 2c 20 63 61 6e 63 65 6c | 6c 69 6e 67 20 74 65 72 |, cancel|ling ter|
|00000540| 6d 73 20 74 6f 70 20 61 | 6e 64 20 62 6f 74 74 6f |ms top a|nd botto|
|00000550| 6d 2c 20 6f 72 20 72 61 | 74 69 6f 6e 61 6c 69 7a |m, or ra|tionaliz|
|00000560| 69 6e 67 20 61 0a 64 65 | 6e 6f 6d 69 6e 61 74 6f |ing a.de|nominato|
|00000570| 72 29 2c 20 61 6e 64 20 | 61 64 64 69 6e 67 20 61 |r), and |adding a|
|00000580| 6e 64 20 73 75 62 74 72 | 61 63 74 69 6e 67 20 75 |nd subtr|acting u|
|00000590| 6e 69 74 79 20 28 65 69 | 74 68 65 72 20 74 6f 20 |nity (ei|ther to |
|000005a0| 6d 6f 76 65 20 61 20 74 | 65 72 6d 0a 66 72 6f 6d |move a t|erm.from|
|000005b0| 20 6f 6e 65 20 73 69 64 | 65 20 6f 66 20 61 6e 20 | one sid|e of an |
|000005c0| 65 71 75 61 74 69 6f 6e | 20 74 6f 20 74 68 65 20 |equation| to the |
|000005d0| 6f 74 68 65 72 2c 20 6f | 72 20 74 6f 20 64 6f 20 |other, o|r to do |
|000005e0| 74 68 69 6e 67 73 20 6c | 69 6b 65 0a 63 6f 6d 70 |things l|ike.comp|
|000005f0| 6c 65 74 69 6e 67 20 61 | 20 73 71 75 61 72 65 29 |leting a| square)|
|00000600| 2e 20 0a 0a 5c 69 74 65 | 6d 5b 67 72 69 6e 64 65 |. ..\ite|m[grinde|
|00000610| 72 5d 0a 41 73 20 61 20 | 73 75 70 70 6f 72 74 20 |r].As a |support |
|00000620| 74 6f 6f 6c 20 66 6f 72 | 20 74 68 65 20 61 62 6f |tool for| the abo|
|00000630| 76 65 2c 20 74 68 65 20 | 73 79 73 74 65 6d 20 6e |ve, the |system n|
|00000640| 65 65 64 73 20 74 6f 20 | 62 65 20 61 62 6c 65 20 |eeds to |be able |
|00000650| 74 6f 0a 70 72 6f 76 69 | 64 65 20 61 20 73 69 6d |to.provi|de a sim|
|00000660| 70 6c 65 20 6c 65 76 65 | 6c 20 6f 66 20 61 73 73 |ple leve|l of ass|
|00000670| 69 73 74 61 6e 63 65 2e | 20 41 6c 6c 20 6f 66 20 |istance.| All of |
|00000680| 74 68 65 20 6f 70 65 72 | 61 74 6f 72 73 20 61 6e |the oper|ators an|
|00000690| 64 20 73 79 6d 62 6f 6c | 73 0a 62 65 69 6e 67 20 |d symbol|s.being |
|000006a0| 6d 61 6e 69 70 75 6c 61 | 74 65 64 20 68 61 76 69 |manipula|ted havi|
|000006b0| 6e 67 20 73 6f 6d 65 20 | 6d 65 61 6e 69 6e 67 2c |ng some |meaning,|
|000006c0| 20 61 6e 64 20 74 68 65 | 20 75 73 65 72 20 73 68 | and the| user sh|
|000006d0| 6f 75 6c 64 20 62 65 20 | 61 62 6c 65 20 74 6f 0a |ould be |able to.|
|000006e0| 72 65 71 75 65 73 74 20 | 74 68 61 74 20 61 20 70 |request |that a p|
|000006f0| 61 72 74 69 63 75 6c 61 | 72 20 6f 70 65 72 61 74 |articula|r operat|
|00000700| 69 6f 6e 20 62 65 20 69 | 6e 74 65 72 70 72 65 74 |ion be i|nterpret|
|00000710| 65 64 2e 20 54 68 69 73 | 20 63 61 6e 20 62 65 0a |ed. This| can be.|
|00000720| 70 61 72 74 69 63 75 6c | 61 72 6c 79 20 75 73 65 |particul|arly use|
|00000730| 66 75 6c 6c 20 77 68 65 | 6e 20 69 74 20 63 6f 6d |full whe|n it com|
|00000740| 65 73 20 74 6f 20 64 6f | 69 6e 67 20 74 68 69 6e |es to do|ing thin|
|00000750| 67 73 20 6c 69 6b 65 20 | 74 61 6b 69 6e 67 0a 64 |gs like |taking.d|
|00000760| 65 72 69 76 61 74 69 76 | 65 73 20 6f 66 20 63 6f |erivativ|es of co|
|00000770| 6d 70 6c 69 63 61 74 65 | 64 20 65 71 75 61 74 69 |mplicate|d equati|
|00000780| 6f 6e 73 2c 20 6f 72 20 | 64 6f 69 6e 67 20 69 6e |ons, or |doing in|
|00000790| 74 65 67 72 61 6c 73 2e | 20 49 74 20 69 73 20 6e |tegrals.| It is n|
|000007a0| 6f 74 0a 73 75 67 67 65 | 73 74 65 64 20 74 68 61 |ot.sugge|sted tha|
|000007b0| 74 20 74 68 69 73 20 67 | 72 69 6e 64 65 72 20 62 |t this g|rinder b|
|000007c0| 65 20 61 6c 6c 20 65 6e | 63 6f 6d 70 61 73 69 6e |e all en|compasin|
|000007d0| 67 2c 20 62 75 74 20 72 | 61 74 68 65 72 20 74 68 |g, but r|ather th|
|000007e0| 61 74 20 69 74 0a 70 72 | 6f 76 69 64 65 20 73 69 |at it.pr|ovide si|
|000007f0| 6d 70 6c 69 63 61 74 69 | 6f 6e 73 20 74 68 61 74 |mplicati|ons that|
|00000800| 20 61 72 65 20 65 61 73 | 79 20 74 6f 20 64 6f 2c | are eas|y to do,|
|00000810| 20 61 6e 64 20 70 72 6f | 76 69 64 65 20 69 6e 74 | and pro|vide int|
|00000820| 65 72 66 61 63 65 28 73 | 29 20 74 6f 0a 6c 61 72 |erface(s|) to.lar|
|00000830| 67 65 72 2c 20 6d 6f 72 | 65 20 63 6f 6d 70 6c 65 |ger, mor|e comple|
|00000840| 74 65 20 70 72 6f 67 72 | 61 6d 73 20 73 75 63 68 |te progr|ams such|
|00000850| 20 61 73 20 4d 61 70 6c | 65 2c 0a 25 7b 5c 66 6f | as Mapl|e,.%{\fo|
|00000860| 6f 74 6e 6f 74 65 20 70 | 72 6f 64 75 63 74 20 6f |otnote p|roduct o|
|00000870| 66 20 55 6e 69 76 65 72 | 73 69 74 79 20 6f 66 20 |f Univer|sity of |
|00000880| 57 61 74 65 72 6c 6f 6f | 7d 0a 4d 61 63 73 79 6d |Waterloo|}.Macsym|
|00000890| 61 2c 20 65 74 63 2e 0a | 25 7b 5c 7d 0a 5c 65 6e |a, etc..|%{\}.\en|
|000008a0| 64 7b 65 6e 75 6d 65 72 | 61 74 65 7d 0a 0a 54 68 |d{enumer|ate}..Th|
|000008b0| 65 73 65 20 70 6f 72 74 | 69 6f 6e 73 20 6f 66 20 |ese port|ions of |
|000008c0| 74 68 65 20 73 79 73 74 | 65 6d 20 77 69 6c 6c 20 |the syst|em will |
|000008d0| 62 65 20 64 65 76 65 6c | 6f 70 65 64 20 69 6e 20 |be devel|oped in |
|000008e0| 61 20 6c 61 6e 67 75 61 | 67 65 20 63 61 6c 6c 65 |a langua|ge calle|
|000008f0| 64 0a 53 65 6c 66 2e 20 | 50 6c 65 61 73 65 20 73 |d.Self. |Please s|
|00000900| 65 65 20 74 68 65 20 53 | 65 6c 66 20 64 6f 63 75 |ee the S|elf docu|
|00000910| 6d 65 6e 74 61 74 69 6f | 6e 20 66 6f 72 20 61 20 |mentatio|n for a |
|00000920| 70 72 6f 70 65 72 20 6f | 76 65 72 76 69 65 77 20 |proper o|verview |
|00000930| 6f 66 20 74 68 65 20 6c | 61 6e 67 75 61 67 65 2e |of the l|anguage.|
|00000940| 0a 0a 5c 73 65 63 74 69 | 6f 6e 7b 57 6f 72 6b 20 |..\secti|on{Work |
|00000950| 64 6f 6e 65 7d 0a 0a 41 | 74 20 74 68 65 20 64 61 |done}..A|t the da|
|00000960| 74 65 20 6f 66 20 74 68 | 69 73 20 77 72 69 74 69 |te of th|is writi|
|00000970| 6e 67 2c 20 74 68 65 20 | 66 69 72 73 74 20 70 61 |ng, the |first pa|
|00000980| 72 74 2c 20 74 68 65 20 | 67 72 61 70 68 69 63 73 |rt, the |graphics|
|00000990| 20 69 6e 74 65 72 66 61 | 63 65 0a 68 61 73 20 62 | interfa|ce.has b|
|000009a0| 65 65 6e 20 6d 6f 73 74 | 6c 79 20 63 6f 6d 70 6c |een most|ly compl|
|000009b0| 65 74 65 64 2e 20 57 69 | 6e 64 6f 77 73 20 6f 70 |eted. Wi|ndows op|
|000009c0| 65 6e 2c 20 65 71 75 61 | 74 69 6f 6e 73 20 61 72 |en, equa|tions ar|
|000009d0| 65 20 72 65 6e 64 65 72 | 65 64 20 69 6e 20 74 68 |e render|ed in th|
|000009e0| 65 0a 77 69 6e 64 6f 77 | 73 2c 20 61 6e 64 20 72 |e.window|s, and r|
|000009f0| 65 66 72 65 73 68 65 64 | 20 77 68 65 6e 20 72 65 |efreshed| when re|
|00000a00| 71 75 69 72 65 64 2c 20 | 61 6e 64 20 73 6f 6d 65 |quired, |and some|
|00000a10| 20 73 75 70 70 6f 72 74 | 20 66 6f 72 20 66 6f 6e | support| for fon|
|00000a20| 74 73 0a 65 78 69 73 74 | 2e 20 0a 0a 41 20 73 6f |ts.exist|. ..A so|
|00000a30| 6d 65 77 68 61 74 20 70 | 72 69 6d 69 74 69 76 65 |mewhat p|rimitive|
|00000a40| 20 69 6e 74 65 72 61 63 | 74 69 6f 6e 20 6d 6f 64 | interac|tion mod|
|00000a50| 65 6c 20 62 61 73 65 64 | 20 6d 6f 73 74 6c 79 20 |el based| mostly |
|00000a60| 6f 6e 20 58 20 65 76 65 | 6e 74 73 20 68 61 73 0a |on X eve|nts has.|
|00000a70| 62 65 65 6e 20 77 72 69 | 74 74 65 6e 20 62 79 20 |been wri|tten by |
|00000a80| 4a 61 6d 65 73 20 4e 6f | 62 6c 65 20 6f 66 20 56 |James No|ble of V|
|00000a90| 69 63 74 6f 72 69 61 20 | 55 6e 69 76 65 72 73 69 |ictoria |Universi|
|00000aa0| 74 79 2c 20 57 65 6c 6c | 69 6e 67 74 6f 6e 0a 3c |ty, Well|ington.<|
|00000ab0| 6b 6a 78 40 63 6f 6d 70 | 2e 76 75 77 2e 61 63 2e |kjx@comp|.vuw.ac.|
|00000ac0| 6e 7a 3e 2c 20 61 6e 64 | 20 74 68 69 73 20 77 61 |nz>, and| this wa|
|00000ad0| 73 20 68 65 61 76 69 6c | 79 20 6d 6f 64 69 66 69 |s heavil|y modifi|
|00000ae0| 65 64 20 61 6e 64 20 73 | 75 62 63 6c 61 73 73 65 |ed and s|ubclasse|
|00000af0| 64 20 74 6f 0a 70 72 6f | 76 69 64 65 64 20 74 68 |d to.pro|vided th|
|00000b00| 65 20 72 65 71 75 69 72 | 65 64 20 66 6c 65 78 69 |e requir|ed flexi|
|00000b10| 62 69 6c 69 74 79 2e 20 | 54 68 65 20 7b 5c 65 6d |bility. |The {\em|
|00000b20| 20 4e 61 76 65 6c 7d 5c | 66 6f 6f 74 6e 6f 74 65 | Navel}\|footnote|
|00000b30| 7b 54 6f 20 6c 6f 6f 6b | 20 61 74 0a 6f 6e 65 27 |{To look| at.one'|
|00000b40| 73 20 53 65 6c 66 2c 20 | 75 73 65 20 79 6f 75 72 |s Self, |use your|
|00000b50| 20 7b 5c 65 6d 20 4e 61 | 76 65 6c 7d 7d 20 76 69 | {\em Na|vel}} vi|
|00000b60| 65 77 20 6d 61 6e 61 67 | 65 72 20 69 73 20 66 61 |ew manag|er is fa|
|00000b70| 72 20 66 72 6f 6d 20 63 | 6f 6d 70 6c 65 74 65 2c |r from c|omplete,|
|00000b80| 0a 61 6e 64 20 69 73 20 | 72 61 74 68 65 72 20 65 |.and is |rather e|
|00000b90| 78 70 65 72 69 6d 65 6e | 74 61 6c 20 61 74 20 74 |xperimen|tal at t|
|00000ba0| 68 69 73 20 74 69 6d 65 | 2e 0a 0a 49 6e 20 73 75 |his time|...In su|
|00000bb0| 70 70 6f 72 74 20 6f 66 | 20 74 68 65 20 61 62 6f |pport of| the abo|
|00000bc0| 76 65 2c 20 73 65 76 65 | 72 61 6c 20 70 69 65 63 |ve, seve|ral piec|
|00000bd0| 65 73 20 77 65 72 65 20 | 63 6f 6e 73 74 72 75 63 |es were |construc|
|00000be0| 74 65 64 3a 20 0a 5c 62 | 65 67 69 6e 7b 69 74 65 |ted: .\b|egin{ite|
|00000bf0| 6d 69 7a 65 7d 0a 5c 69 | 74 65 6d 5b 70 6f 6c 79 |mize}.\i|tem[poly|
|00000c00| 5d 20 61 20 73 65 74 20 | 6f 66 20 6f 62 6a 65 63 |] a set |of objec|
|00000c10| 74 73 20 74 6f 20 64 65 | 73 63 72 69 62 65 20 73 |ts to de|scribe s|
|00000c20| 63 61 6c 61 72 73 2c 20 | 76 65 63 74 6f 72 73 2c |calars, |vectors,|
|00000c30| 20 61 6e 64 20 76 61 72 | 69 6f 75 73 0a 6b 69 6e | and var|ious.kin|
|00000c40| 64 73 20 6f 66 20 6f 70 | 65 72 61 74 6f 72 73 2e |ds of op|erators.|
|00000c50| 20 54 68 69 73 20 68 61 | 73 20 6d 6f 73 74 6c 79 | This ha|s mostly|
|00000c60| 20 6a 75 73 74 20 62 65 | 65 6e 20 73 6b 65 74 63 | just be|en sketc|
|00000c70| 68 65 64 20 6f 75 74 2c | 20 61 6e 64 20 6d 61 6e |hed out,| and man|
|00000c80| 79 0a 6f 66 20 74 68 65 | 20 66 69 6e 65 72 20 64 |y.of the| finer d|
|00000c90| 65 74 61 69 6c 73 20 61 | 6e 64 20 65 6d 62 65 6c |etails a|nd embel|
|00000ca0| 6c 69 73 68 6d 65 6e 74 | 73 20 6e 65 65 64 20 74 |lishment|s need t|
|00000cb0| 6f 20 62 65 20 61 64 64 | 65 64 2e 0a 0a 5c 69 74 |o be add|ed...\it|
|00000cc0| 65 6d 5b 62 6f 69 74 65 | 73 5c 66 6f 6f 74 6e 6f |em[boite|s\footno|
|00000cd0| 74 65 7b 54 68 69 73 20 | 69 73 20 66 72 65 6e 63 |te{This |is frenc|
|00000ce0| 68 20 66 6f 72 20 62 6f | 78 2e 20 54 68 65 20 53 |h for bo|x. The S|
|00000cf0| 63 68 65 6d 65 20 63 6f | 64 65 20 74 68 61 74 0a |cheme co|de that.|
|00000d00| 74 68 69 73 20 77 61 73 | 20 70 6f 72 74 65 64 20 |this was| ported |
|00000d10| 66 72 6f 6d 20 75 73 65 | 64 20 74 68 65 20 73 79 |from use|d the sy|
|00000d20| 6d 62 6f 6c 20 7b 5c 65 | 6d 20 62 6f 78 7d 20 66 |mbol {\e|m box} f|
|00000d30| 6f 72 20 73 75 63 68 20 | 74 68 69 6e 67 73 20 61 |or such |things a|
|00000d40| 73 20 6c 61 7a 79 0a 65 | 76 61 6c 75 61 74 69 6f |s lazy.e|valuatio|
|00000d50| 6e 7d 5d 20 61 20 73 65 | 74 20 6f 66 20 6f 62 6a |n}] a se|t of obj|
|00000d60| 65 63 74 73 20 74 68 61 | 74 20 70 72 6f 76 69 64 |ects tha|t provid|
|00000d70| 65 73 20 66 6f 72 6d 61 | 74 74 69 6e 67 20 63 6f |es forma|tting co|
|00000d80| 6e 74 72 6f 6c 20 66 6f | 72 0a 65 71 75 61 74 69 |ntrol fo|r.equati|
|00000d90| 6f 6e 73 2e 20 49 6e 73 | 70 69 72 61 74 69 6f 6e |ons. Ins|piration|
|00000da0| 20 66 6f 72 20 74 68 65 | 73 65 20 6f 62 6a 65 63 | for the|se objec|
|00000db0| 74 73 2c 20 61 6e 64 20 | 74 68 65 20 61 6c 67 6f |ts, and |the algo|
|00000dc0| 72 69 74 68 6d 73 20 77 | 65 72 65 0a 74 61 6b 65 |rithms w|ere.take|
|00000dd0| 6e 20 66 72 6f 6d 20 44 | 6f 6e 61 6c 64 20 4b 6e |n from D|onald Kn|
|00000de0| 75 74 68 27 73 20 54 65 | 58 62 6f 6f 6b 20 64 65 |uth's Te|Xbook de|
|00000df0| 73 63 72 69 70 74 69 6f | 6e 20 6f 66 20 74 68 65 |scriptio|n of the|
|00000e00| 20 5c 54 65 58 20 66 6f | 72 6d 61 74 74 65 72 2e | \TeX fo|rmatter.|
|00000e10| 0a 54 68 65 20 63 68 61 | 70 74 65 72 73 20 6f 6e |.The cha|pters on|
|00000e20| 20 47 6c 75 65 20 61 6e | 64 20 42 75 69 6c 64 69 | Glue an|d Buildi|
|00000e30| 6e 67 20 62 6f 78 65 73 | 20 77 65 72 65 20 70 61 |ng boxes| were pa|
|00000e40| 72 74 69 63 75 6c 61 72 | 6c 79 20 69 6d 70 6f 72 |rticular|ly impor|
|00000e50| 74 61 6e 74 2e 0a 0a 5c | 69 74 65 6d 5b 77 69 6e |tant...\|item[win|
|00000e60| 64 6f 77 5d 20 54 68 65 | 73 65 20 6f 62 6a 65 63 |dow] The|se objec|
|00000e70| 74 73 20 69 6e 68 65 72 | 69 74 20 66 72 6f 6d 20 |ts inher|it from |
|00000e80| 74 68 65 20 7b 5c 65 6d | 20 4e 61 76 65 6c 7d 20 |the {\em| Navel} |
|00000e90| 73 79 73 74 65 6d 20 61 | 6e 64 0a 70 72 6f 76 69 |system a|nd.provi|
|00000ea0| 64 65 20 73 70 65 63 69 | 61 6c 69 7a 61 74 69 6f |de speci|alizatio|
|00000eb0| 6e 20 6f 66 20 74 68 65 | 20 72 65 73 70 6f 6e 73 |n of the| respons|
|00000ec0| 65 20 74 6f 20 76 61 72 | 69 6f 75 73 20 65 76 65 |e to var|ious eve|
|00000ed0| 6e 74 73 20 73 75 63 68 | 20 61 73 20 7b 5c 65 6d |nts such| as {\em|
|00000ee0| 0a 72 65 64 72 61 77 7d | 20 61 6e 64 20 7b 5c 65 |.redraw}| and {\e|
|00000ef0| 6d 20 63 6f 6e 66 69 67 | 75 72 65 4e 6f 74 69 66 |m config|ureNotif|
|00000f00| 79 7d 5c 66 6f 6f 74 6e | 6f 74 65 7b 69 6e 64 69 |y}\footn|ote{indi|
|00000f10| 63 61 74 65 73 20 74 68 | 65 20 77 69 6e 64 6f 77 |cates th|e window|
|00000f20| 20 68 61 73 0a 63 68 61 | 6e 67 65 64 20 73 68 61 | has.cha|nged sha|
|00000f30| 70 65 7d 2e 20 54 68 65 | 20 7b 5c 65 6d 20 65 71 |pe}. The| {\em eq|
|00000f40| 75 61 74 69 6f 6e 56 69 | 65 77 7d 20 6f 62 6a 65 |uationVi|ew} obje|
|00000f50| 63 74 20 6b 6e 6f 77 73 | 20 68 6f 77 20 74 6f 20 |ct knows| how to |
|00000f60| 63 6f 6e 76 65 72 74 20 | 61 0a 7b 5c 65 6d 20 70 |convert |a.{\em p|
|00000f70| 6f 6c 79 7d 20 6f 62 6a | 65 63 74 20 69 6e 74 6f |oly} obj|ect into|
|00000f80| 20 69 74 73 20 7b 5c 65 | 6d 20 62 6f 69 74 65 73 | its {\e|m boites|
|00000f90| 7d 20 72 65 70 72 65 73 | 65 6e 74 61 74 69 6f 6e |} repres|entation|
|00000fa0| 2c 20 61 6e 64 20 74 68 | 65 6e 20 61 73 6b 0a 74 |, and th|en ask.t|
|00000fb0| 68 65 20 7b 5c 65 6d 20 | 62 6f 69 74 65 73 7d 20 |he {\em |boites} |
|00000fc0| 74 6f 20 64 72 61 77 20 | 74 68 65 6d 73 65 6c 76 |to draw |themselv|
|00000fd0| 65 73 2e 20 54 68 65 20 | 7b 5c 65 6d 20 62 6f 69 |es. The |{\em boi|
|00000fe0| 74 65 73 7d 20 61 72 65 | 20 0a 69 6e 64 65 70 65 |tes} are| .indepe|
|00000ff0| 6e 64 61 6e 74 20 6f 66 | 20 77 68 61 74 20 74 68 |ndant of| what th|
|00001000| 65 79 20 61 72 65 20 64 | 72 61 77 69 6e 67 20 6f |ey are d|rawing o|
|00001010| 6e 20 73 6f 20 6c 6f 6e | 67 20 61 73 20 74 68 65 |n so lon|g as the|
|00001020| 79 20 68 61 76 65 20 61 | 63 63 75 72 61 74 65 0a |y have a|ccurate.|
|00001030| 69 64 65 61 73 20 6f 66 | 20 68 6f 77 20 62 69 67 |ideas of| how big|
|00001040| 20 74 68 65 20 70 72 69 | 6d 69 74 69 76 65 20 6f | the pri|mitive o|
|00001050| 62 6a 65 63 74 73 20 61 | 72 65 2e 20 28 54 68 61 |bjects a|re. (Tha|
|00001060| 74 20 69 73 2c 20 68 6f | 77 20 62 69 67 20 74 68 |t is, ho|w big th|
|00001070| 65 0a 66 6f 6e 74 73 20 | 61 72 65 29 2e 20 54 68 |e.fonts |are). Th|
|00001080| 69 73 20 69 73 20 63 75 | 72 72 65 6e 74 6c 79 20 |is is cu|rrently |
|00001090| 73 70 65 63 69 66 69 63 | 20 74 6f 20 58 20 77 69 |specific| to X wi|
|000010a0| 6e 64 6f 77 73 2c 20 62 | 6f 74 68 20 69 6e 20 74 |ndows, b|oth in t|
|000010b0| 68 65 20 77 61 79 0a 74 | 68 65 20 73 69 7a 65 20 |he way.t|he size |
|000010c0| 6f 66 20 61 20 73 74 72 | 69 6e 67 20 6f 66 20 63 |of a str|ing of c|
|000010d0| 68 61 72 61 63 74 65 72 | 73 20 69 73 20 64 69 73 |haracter|s is dis|
|000010e0| 63 6f 76 65 72 65 64 2c | 20 61 6e 64 20 74 68 65 |covered,| and the|
|000010f0| 20 6e 61 6d 69 6e 67 0a | 6f 66 20 74 68 65 20 66 | naming.|of the f|
|00001100| 6f 6e 74 73 2e 20 28 4e | 61 6d 69 6e 67 20 6f 66 |onts. (N|aming of|
|00001110| 20 66 6f 6e 74 73 20 73 | 68 6f 75 6c 64 20 70 72 | fonts s|hould pr|
|00001120| 6f 70 65 72 6c 79 20 62 | 65 20 64 6f 6e 65 20 76 |operly b|e done v|
|00001130| 69 61 20 58 0a 72 65 73 | 6f 75 72 63 65 73 20 69 |ia X.res|ources i|
|00001140| 6e 20 6f 72 64 65 72 20 | 74 6f 20 62 65 20 58 20 |n order |to be X |
|00001150| 73 65 72 76 65 72 20 69 | 6d 64 65 70 65 6e 64 61 |server i|mdependa|
|00001160| 6e 74 2e 20 48 6f 77 65 | 76 65 72 2c 20 6d 6f 73 |nt. Howe|ver, mos|
|00001170| 74 20 73 65 72 76 65 72 | 73 0a 64 6f 20 70 72 6f |t server|s.do pro|
|00001180| 76 69 64 65 20 73 6f 6d | 65 74 68 69 6e 67 20 75 |vide som|ething u|
|00001190| 73 65 66 75 6c 6c 20 6e | 61 6d 65 64 20 7b 5c 74 |sefull n|amed {\t|
|000011a0| 74 20 66 69 78 65 64 7d | 20 61 6e 64 20 68 61 76 |t fixed}| and hav|
|000011b0| 65 20 61 20 66 6f 6e 74 | 20 6e 61 6d 65 64 0a 7b |e a font| named.{|
|000011c0| 5c 74 74 20 53 79 6d 62 | 6f 6c 7d 0a 5c 65 6e 64 |\tt Symb|ol}.\end|
|000011d0| 7b 69 74 65 6d 69 7a 65 | 7d 0a 0a 5c 73 65 63 74 |{itemize|}..\sect|
|000011e0| 69 6f 6e 7b 54 68 69 6e | 67 73 20 74 6f 20 64 6f |ion{Thin|gs to do|
|000011f0| 7d 0a 0a 54 68 65 20 6e | 65 78 74 20 73 74 61 67 |}..The n|ext stag|
|00001200| 65 20 6f 66 20 77 6f 72 | 6b 20 6e 65 65 64 73 20 |e of wor|k needs |
|00001210| 74 6f 20 62 65 20 69 6e | 20 74 68 65 20 61 72 65 |to be in| the are|
|00001220| 61 20 6f 66 20 74 68 65 | 20 65 64 69 74 69 6e 67 |a of the| editing|
|00001230| 0a 66 61 63 69 6c 69 74 | 69 65 73 2e 20 46 75 72 |.facilit|ies. Fur|
|00001240| 74 68 65 72 20 73 74 72 | 75 63 74 75 72 65 20 6e |ther str|ucture n|
|00001250| 65 65 64 73 20 74 6f 20 | 62 65 20 61 64 64 65 64 |eeds to |be added|
|00001260| 20 74 6f 20 65 73 74 61 | 62 6c 69 73 68 20 74 68 | to esta|blish th|
|00001270| 65 0a 63 6f 6e 6e 65 63 | 74 69 6f 6e 20 62 65 74 |e.connec|tion bet|
|00001280| 77 65 65 6e 20 61 20 6d | 6f 75 73 65 20 63 6c 69 |ween a m|ouse cli|
|00001290| 63 6b 20 69 6e 20 74 68 | 65 20 77 69 6e 64 6f 77 |ck in th|e window|
|000012a0| 2c 20 74 68 65 20 7b 5c | 65 6d 20 62 6f 69 74 65 |, the {\|em boite|
|000012b0| 7d 0a 73 74 72 75 63 74 | 75 72 65 20 74 68 61 74 |}.struct|ure that|
|000012c0| 20 72 65 70 72 65 73 65 | 6e 74 73 20 74 68 65 20 | represe|nts the |
|000012d0| 64 69 73 70 6c 61 79 65 | 64 20 76 65 72 73 69 6f |displaye|d versio|
|000012e0| 6e 20 6f 66 20 74 68 65 | 20 65 71 75 61 74 69 6f |n of the| equatio|
|000012f0| 6e 2c 20 61 6e 64 0a 74 | 68 65 20 65 71 75 61 74 |n, and.t|he equat|
|00001300| 69 6f 6e 20 69 74 73 65 | 6c 66 2e 20 0a 0a 4f 6e |ion itse|lf. ..On|
|00001310| 65 20 73 75 67 67 65 73 | 74 69 6f 6e 20 69 73 20 |e sugges|tion is |
|00001320| 74 6f 20 6d 61 6b 65 20 | 74 68 65 20 63 75 72 72 |to make |the curr|
|00001330| 65 6e 74 20 76 69 65 77 | 20 73 79 73 74 65 6d 20 |ent view| system |
|00001340| 73 6f 6d 65 77 68 61 74 | 20 6c 69 67 68 74 65 72 |somewhat| lighter|
|00001350| 0a 77 65 69 67 68 74 2e | 20 54 68 65 20 62 6f 69 |.weight.| The boi|
|00001360| 74 65 20 73 74 72 75 63 | 74 75 72 65 73 20 77 6f |te struc|tures wo|
|00001370| 75 6c 64 20 62 65 63 6f | 6d 65 20 73 70 65 63 69 |uld beco|me speci|
|00001380| 61 6c 69 7a 61 74 69 6f | 6e 73 20 6f 66 20 73 6f |alizatio|ns of so|
|00001390| 6d 65 20 6b 69 6e 64 0a | 6f 66 20 76 69 65 77 20 |me kind.|of view |
|000013a0| 6f 62 6a 65 63 74 20 73 | 74 72 75 63 74 75 72 65 |object s|tructure|
|000013b0| 2e 20 43 75 72 72 65 6e | 74 6c 79 20 76 69 65 77 |. Curren|tly view|
|000013c0| 73 20 61 72 65 20 61 73 | 73 6f 63 69 61 74 65 64 |s are as|sociated|
|000013d0| 20 6f 6e 6c 79 20 77 69 | 74 68 0a 61 63 74 75 61 | only wi|th.actua|
|000013e0| 6c 20 58 20 64 72 61 77 | 61 62 6c 65 20 73 74 72 |l X draw|able str|
|000013f0| 75 63 74 75 72 65 73 2e | 20 0a 0a 5c 70 61 67 65 |uctures.| ..\page|
|00001400| 62 72 65 61 6b 0a 5c 73 | 65 63 74 69 6f 6e 7b 53 |break.\s|ection{S|
|00001410| 74 72 75 63 74 75 72 65 | 20 6f 66 20 74 68 65 20 |tructure| of the |
|00001420| 73 79 73 74 65 6d 7d 0a | 0a 5c 69 6e 70 75 74 20 |system}.|.\input |
|00001430| 70 6f 6c 79 2d 73 74 72 | 75 63 74 2e 70 69 63 74 |poly-str|uct.pict|
|00001440| 65 78 0a 0a 5c 65 6e 64 | 7b 64 6f 63 75 6d 65 6e |ex..\end|{documen|
|00001450| 74 7d 0a 0a | |t}.. | |
+--------+-------------------------+-------------------------+--------+--------+