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츎ŽŽŽŽŽŽŽŽŽŽŽ‘à·²+ŽŽŽŽŽ‘à·¸ŽŽŽŽŽŽŽŽŽŽŽŽ‘ÕW²+ŽŽŽŽŽ‘ÕW¸ŽŽŽŽŽŽŽŽŽŽŽŽŽ‘AÕUµBŽŽŽŽŽŽŽŽŽŽ‘P@ã².ŽŸƒ’æê:Ò2.3Ž’ª:More–€arroš w“st˜ylesŽŸuT’æê:²The–)arroš¸ãw“st˜yles“describGed“in“section“1.3“are“all“exam-Ž¡’æê:ples–UUof“the“general“Ïarr‘ÿ}'ow‘“çstyle‘°²constructionsŽ’æê:Ÿ ;‰ffìÙ2Ÿ ×g‘>žÒÐ@Ïvariant‘òØÐ{Ž‘2ÕÏtail‘]Þshaft‘H-he‘ÿ}'ad‘‰Ð}ŽŽŽ¡‘>žÒ@Ïvariant‘òØÐ{Ž‘2ÕÏhe‘ÿ}'ad‘‰Ð}ŽŽŽŸq‰ffìÙ2Ÿ&Õ²that–Ž„in“describGes“arro¸ãws“with“the“indicated“Ïtail²,‘œÏÏshaft²,Ž¡and–aÏhe‘ÿ}'ad‘ ê²(on“the“ rst“form“the“tail“and“head“can“bGeŽ¡omitted;‘âÀthe–©usecond“stš¸ãyle“defaults“to“ha˜ving“no“tail“andŽ¡a–UUstandard“shaft).Ž¡‘ The–V}follo¸ãwing“pGossibilities“exist“for“Ïhe‘ÿ}'ad‘_²and“ÏtailŽ¡²whic•¸ãh›UUw“e˜will˜denote˜Ïtips‘'v²(here˜sho“wn˜as˜heads):ŽŸ ªq‰ffìÙ2Ÿ !É‘ðÐ<ŽŽ‘?Ÿû:ºs»sŽŽŽŽ‘>ßÔŸûBj„fdfeŽŽŽŽŽŽ‘=êŸûµe„fdfeŽŽŽŽŽŽ‘;HŸü(`„fdfeŽŽŽŽŽŽ‘9|Ÿü›[„fdfeŽŽŽŽŽŽ‘7°,ŸýV„fdfeŽŽŽŽŽŽ‘5äBŸýQ„fdfeŽŽŽŽŽŽ‘4XŸýôL„fdfeŽŽŽŽŽŽ‘2LnŸþgG„fdfeŽŽŽŽŽŽ‘0€„ŸþÚB„fdfeŽŽŽŽŽŽ‘.´šŸÿM=„fdfeŽŽŽŽŽŽ‘,è°žÀ8„fdfeŽŽŽŽŽŽ‘+Æž33„fdfeŽŽŽŽŽŽŽŽŽŽŽ‘h“Ð>ŽŽ’‹–Ÿû:º3»3ŽŽŽŽ’‹bçŸûBj„fdfeŽŽŽŽŽŽ’‰–ýŸûµe„fdfeŽŽŽŽŽŽ’‡ËŸü(`„fdfeŽŽŽŽŽŽ’…ÿ)Ÿü›[„fdfeŽŽŽŽŽŽ’„3?ŸýV„fdfeŽŽŽŽŽŽ’‚gUŸýQ„fdfeŽŽŽŽŽŽ’€›kŸýôL„fdfeŽŽŽŽŽŽ‘~ÏŸþgG„fdfeŽŽŽŽŽŽ‘}—ŸþÚB„fdfeŽŽŽŽŽŽ‘{7­ŸÿM=„fdfeŽŽŽŽŽŽ‘ykÞÀ8„fdfeŽŽŽŽŽŽ‘wŸÙž33„fdfeŽŽŽŽŽŽŽŽŽŽŽ’¯ÖÐxŽŽ’вâŸùÈ‚¹LŽŽŽŽŽŽ’Ñ’pŸý5Š ŽŽŽŽŽŽŽŽŽŽŽ’Ò¥ýŸûBj„fdfeŽŽŽŽŽŽ’ÐÚŸûµe„fdfeŽŽŽŽŽŽ’Ï)Ÿü(`„fdfeŽŽŽŽŽŽ’ÍB?Ÿü›[„fdfeŽŽŽŽŽŽ’ËvUŸýV„fdfeŽŽŽŽŽŽ’ɪkŸýQ„fdfeŽŽŽŽŽŽ’ÇÞŸýôL„fdfeŽŽŽŽŽŽ’Æ—ŸþgG„fdfeŽŽŽŽŽŽ’ÄF­ŸþÚB„fdfeŽŽŽŽŽŽ’ÂzßÿM=„fdfeŽŽŽŽŽŽ’À®ÙžÀ8„fdfeŽŽŽŽŽŽ’¾âïž33„fdfeŽŽŽŽŽŽŽŽŽŽŽŽ¡‘ÏóÐ<<ŽŽ‘AüŸúTòºs»sŽŽ‘?Ÿû:ºs»sŽŽŽŽ‘>ßÔŸûBj„fdfeŽŽŽŽŽŽ‘=êŸûµe„fdfeŽŽŽŽŽŽ‘;HŸü(`„fdfeŽŽŽŽŽŽ‘9|Ÿü›[„fdfeŽŽŽŽŽŽ‘7°,ŸýV„fdfeŽŽŽŽŽŽ‘5äBŸýQ„fdfeŽŽŽŽŽŽ‘4XŸýôL„fdfeŽŽŽŽŽŽ‘2LnŸþgG„fdfeŽŽŽŽŽŽ‘0€„ŸþÚB„fdfeŽŽŽŽŽŽ‘.´šŸÿM=„fdfeŽŽŽŽŽŽ‘,è°žÀ8„fdfeŽŽŽŽŽŽ‘+Æž33„fdfeŽŽŽŽŽŽŽŽŽŽŽ‘cSÐ>>ŽŽ’ˆ­ŸûÉ‚º3»3ŽŽ’‹–Ÿû:º3»3ŽŽŽŽ’‹bçŸûBj„fdfeŽŽŽŽŽŽ’‰–ýŸûµe„fdfeŽŽŽŽŽŽ’‡ËŸü(`„fdfeŽŽŽŽŽŽ’…ÿ)Ÿü›[„fdfeŽŽŽŽŽŽ’„3?ŸýV„fdfeŽŽŽŽŽŽ’‚gUŸýQ„fdfeŽŽŽŽŽŽ’€›kŸýôL„fdfeŽŽŽŽŽŽ‘~ÏŸþgG„fdfeŽŽŽŽŽŽ‘}—ŸþÚB„fdfeŽŽŽŽŽŽ‘{7­ŸÿM=„fdfeŽŽŽŽŽŽ‘ykÞÀ8„fdfeŽŽŽŽŽŽ‘wŸÙž33„fdfeŽŽŽŽŽŽŽŽŽŽŽ’¯ÖÐ+ŽŽ’Ò=öŸø¢^¹'ŽŽŽŽŽŽ’ÐlLŸûªvgŽŽŽŽŽŽŽŽŽŽŽ’Ò¥ýŸûBj„fdfeŽŽŽŽŽŽ’ÐÚŸûµe„fdfeŽŽŽŽŽŽ’Ï)Ÿü(`„fdfeŽŽŽŽŽŽ’ÍB?Ÿü›[„fdfeŽŽŽŽŽŽ’ËvUŸýV„fdfeŽŽŽŽŽŽ’ɪkŸýQ„fdfeŽŽŽŽŽŽ’ÇÞŸýôL„fdfeŽŽŽŽŽŽ’Æ—ŸþgG„fdfeŽŽŽŽŽŽ’ÄF­ŸþÚB„fdfeŽŽŽŽŽŽ’ÂzßÿM=„fdfeŽŽŽŽŽŽ’À®ÙžÀ8„fdfeŽŽŽŽŽŽ’¾âïž33„fdfeŽŽŽŽŽŽŽŽŽŽŽŽ¡‘ÏóÐ|<ŽŽ‘>wÍŸø¢^¹'ŽŽŽŽ‘?Ÿû:ºs»sŽŽŽŽ‘>ßÔŸûBj„fdfeŽŽŽŽŽŽ‘=êŸûµe„fdfeŽŽŽŽŽŽ‘;HŸü(`„fdfeŽŽŽŽŽŽ‘9|Ÿü›[„fdfeŽŽŽŽŽŽ‘7°,ŸýV„fdfeŽŽŽŽŽŽ‘5äBŸýQ„fdfeŽŽŽŽŽŽ‘4XŸýôL„fdfeŽŽŽŽŽŽ‘2LnŸþgG„fdfeŽŽŽŽŽŽ‘0€„ŸþÚB„fdfeŽŽŽŽŽŽ‘.´šŸÿM=„fdfeŽŽŽŽŽŽ‘,è°žÀ8„fdfeŽŽŽŽŽŽ‘+Æž33„fdfeŽŽŽŽŽŽŽŽŽŽŽ‘cSÐ>|ŽŽ’ŠúàŸø¢^¹'ŽŽŽŽ’‹–Ÿû:º3»3ŽŽŽŽ’‹bçŸûBj„fdfeŽŽŽŽŽŽ’‰–ýŸûµe„fdfeŽŽŽŽŽŽ’‡ËŸü(`„fdfeŽŽŽŽŽŽ’…ÿ)Ÿü›[„fdfeŽŽŽŽŽŽ’„3?ŸýV„fdfeŽŽŽŽŽŽ’‚gUŸýQ„fdfeŽŽŽŽŽŽ’€›kŸýôL„fdfeŽŽŽŽŽŽ‘~ÏŸþgG„fdfeŽŽŽŽŽŽ‘}—ŸþÚB„fdfeŽŽŽŽŽŽ‘{7­ŸÿM=„fdfeŽŽŽŽŽŽ‘ykÞÀ8„fdfeŽŽŽŽŽŽ‘wŸÙž33„fdfeŽŽŽŽŽŽŽŽŽŽŽ’¯ÖÐ|ŽŽ’Ò=öŸø¢^¹'ŽŽŽŽŽŽ’Ò¥ýŸûBj„fdfeŽŽŽŽŽŽ’ÐÚŸûµe„fdfeŽŽŽŽŽŽ’Ï)Ÿü(`„fdfeŽŽŽŽŽŽ’ÍB?Ÿü›[„fdfeŽŽŽŽŽŽ’ËvUŸýV„fdfeŽŽŽŽŽŽ’ɪkŸýQ„fdfeŽŽŽŽŽŽ’ÇÞŸýôL„fdfeŽŽŽŽŽŽ’Æ—ŸþgG„fdfeŽŽŽŽŽŽ’ÄF­ŸþÚB„fdfeŽŽŽŽŽŽ’ÂzßÿM=„fdfeŽŽŽŽŽŽ’À®ÙžÀ8„fdfeŽŽŽŽŽŽ’¾âïž33„fdfeŽŽŽŽŽŽŽŽŽŽŽŽ¡‘öÐ|<<ŽŽ‘>wÍŸø¢^¹'ŽŽŽŽ‘AüŸúTòºs»sŽŽ‘?Ÿû:ºs»sŽŽŽŽ‘>ßÔŸûBj„fdfeŽŽŽŽŽŽ‘=êŸûµe„fdfeŽŽŽŽŽŽ‘;HŸü(`„fdfeŽŽŽŽŽŽ‘9|Ÿü›[„fdfeŽŽŽŽŽŽ‘7°,ŸýV„fdfeŽŽŽŽŽŽ‘5äBŸýQ„fdfeŽŽŽŽŽŽ‘4XŸýôL„fdfeŽŽŽŽŽŽ‘2LnŸþgG„fdfeŽŽŽŽŽŽ‘0€„ŸþÚB„fdfeŽŽŽŽŽŽ‘.´šŸÿM=„fdfeŽŽŽŽŽŽ‘,è°žÀ8„fdfeŽŽŽŽŽŽ‘+Æž33„fdfeŽŽŽŽŽŽŽŽŽŽŽ‘^ Ð>>|ŽŽ’ŠúàŸø¢^¹'ŽŽŽŽ’ˆ­ŸûÉ‚º3»3ŽŽ’‹–Ÿû:º3»3ŽŽŽŽ’‹bçŸûBj„fdfeŽŽŽŽŽŽ’‰–ýŸûµe„fdfeŽŽŽŽŽŽ’‡ËŸü(`„fdfeŽŽŽŽŽŽ’…ÿ)Ÿü›[„fdfeŽŽŽŽŽŽ’„3?ŸýV„fdfeŽŽŽŽŽŽ’‚gUŸýQ„fdfeŽŽŽŽŽŽ’€›kŸýôL„fdfeŽŽŽŽŽŽ‘~ÏŸþgG„fdfeŽŽŽŽŽŽ‘}—ŸþÚB„fdfeŽŽŽŽŽŽ‘{7­ŸÿM=„fdfeŽŽŽŽŽŽ‘ykÞÀ8„fdfeŽŽŽŽŽŽ‘wŸÙž33„fdfeŽŽŽŽŽŽŽŽŽŽŽ’ª–Ð||ŽŽ’ÐMGŸù¹'ŽŽŽŽ’Ò=öŸø¢^'ŽŽŽŽŽŽŽŽ’Ò¥ýŸûBj„fdfeŽŽŽŽŽŽ’ÐÚŸûµe„fdfeŽŽŽŽŽŽ’Ï)Ÿü(`„fdfeŽŽŽŽŽŽ’ÍB?Ÿü›[„fdfeŽŽŽŽŽŽ’ËvUŸýV„fdfeŽŽŽŽŽŽ’ɪkŸýQ„fdfeŽŽŽŽŽŽ’ÇÞŸýôL„fdfeŽŽŽŽŽŽ’Æ—ŸþgG„fdfeŽŽŽŽŽŽ’ÄF­ŸþÚB„fdfeŽŽŽŽŽŽ’ÂzßÿM=„fdfeŽŽŽŽŽŽ’À®ÙžÀ8„fdfeŽŽŽŽŽŽ’¾âïž33„fdfeŽŽŽŽŽŽŽŽŽŽŽŽ¡‘ðÐ(ŽŽ‘?Ÿû:¼%‘Ñ Ÿü÷莎ŽŽŽŽŽ‘>ßÔŸûBj„fdfeŽŽŽŽŽŽ‘=êŸûµe„fdfeŽŽŽŽŽŽ‘;HŸü(`„fdfeŽŽŽŽŽŽ‘9|Ÿü›[„fdfeŽŽŽŽŽŽ‘7°,ŸýV„fdfeŽŽŽŽŽŽ‘5äBŸýQ„fdfeŽŽŽŽŽŽ‘4XŸýôL„fdfeŽŽŽŽŽŽ‘2LnŸþgG„fdfeŽŽŽŽŽŽ‘0€„ŸþÚB„fdfeŽŽŽŽŽŽ‘.´šŸÿM=„fdfeŽŽŽŽŽŽ‘,è°žÀ8„fdfeŽŽŽŽŽŽ‘+Æž33„fdfeŽŽŽŽŽŽŽŽŽŽŽ‘h“Ð)ŽŽ’‹–Ÿû:¼e‘þ.`ŸEŽŽŽŽŽŽŽ’‹bçŸûBj„fdfeŽŽŽŽŽŽ’‰–ýŸûµe„fdfeŽŽŽŽŽŽ’‡ËŸü(`„fdfeŽŽŽŽŽŽ’…ÿ)Ÿü›[„fdfeŽŽŽŽŽŽ’„3?ŸýV„fdfeŽŽŽŽŽŽ’‚gUŸýQ„fdfeŽŽŽŽŽŽ’€›kŸýôL„fdfeŽŽŽŽŽŽ‘~ÏŸþgG„fdfeŽŽŽŽŽŽ‘}—ŸþÚB„fdfeŽŽŽŽŽŽ‘{7­ŸÿM=„fdfeŽŽŽŽŽŽ‘ykÞÀ8„fdfeŽŽŽŽŽŽ‘wŸÙž33„fdfeŽŽŽŽŽŽŽŽŽŽŽ’¯ÖÐoŽŽ’Ñ bŸüÜó O!â…cmsy7·ŽŽŽŽŽŽ’Ò¥ýŸûBj„fdfeŽŽŽŽŽŽ’ÐÚŸûµe„fdfeŽŽŽŽŽŽ’Ï)Ÿü(`„fdfeŽŽŽŽŽŽ’ÍB?Ÿü›[„fdfeŽŽŽŽŽŽ’ËvUŸýV„fdfeŽŽŽŽŽŽ’ɪkŸýQ„fdfeŽŽŽŽŽŽ’ÇÞŸýôL„fdfeŽŽŽŽŽŽ’Æ—ŸþgG„fdfeŽŽŽŽŽŽ’ÄF­ŸþÚB„fdfeŽŽŽŽŽŽ’ÂzßÿM=„fdfeŽŽŽŽŽŽ’À®ÙžÀ8„fdfeŽŽŽŽŽŽ’¾âïž33„fdfeŽŽŽŽŽŽŽŽŽŽŽŽ¡‘ðÐ/ŽŽ‘>ÿ ŸýŽê¹ŽŽŽŽŽŽ‘>ßÔŸûBj„fdfeŽŽŽŽŽŽ‘=êŸûµe„fdfeŽŽŽŽŽŽ‘;HŸü(`„fdfeŽŽŽŽŽŽ‘9|Ÿü›[„fdfeŽŽŽŽŽŽ‘7°,ŸýV„fdfeŽŽŽŽŽŽ‘5äBŸýQ„fdfeŽŽŽŽŽŽ‘4XŸýôL„fdfeŽŽŽŽŽŽ‘2LnŸþgG„fdfeŽŽŽŽŽŽ‘0€„ŸþÚB„fdfeŽŽŽŽŽŽ‘.´šŸÿM=„fdfeŽŽŽŽŽŽ‘,è°žÀ8„fdfeŽŽŽŽŽŽ‘+Æž33„fdfeŽŽŽŽŽŽŽŽŽŽŽ‘cSÐ//ŽŽ’‰‚]Ÿý~û¹ŽŽŽŽ’‹‚ŸýŽêŽŽŽŽŽŽ’‹bçŸûBj„fdfeŽŽŽŽŽŽ’‰–ýŸûµe„fdfeŽŽŽŽŽŽ’‡ËŸü(`„fdfeŽŽŽŽŽŽ’…ÿ)Ÿü›[„fdfeŽŽŽŽŽŽ’„3?ŸýV„fdfeŽŽŽŽŽŽ’‚gUŸýQ„fdfeŽŽŽŽŽŽ’€›kŸýôL„fdfeŽŽŽŽŽŽ‘~ÏŸþgG„fdfeŽŽŽŽŽŽ‘}—ŸþÚB„fdfeŽŽŽŽŽŽ‘{7­ŸÿM=„fdfeŽŽŽŽŽŽ‘ykÞÀ8„fdfeŽŽŽŽŽŽ‘wŸÙž33„fdfeŽŽŽŽŽŽŽŽŽŽŽŽŸ¬¼‰ffìÙ2©µÒ²and–UUthe“Ïshaft‘H-²should“bGe“one“of“the“follo¸ãwing:ŽŸ 8‰ffìÙ2ŸÒ‘)ïúÐ-ŽŽ‘VšŸ÷1N¹jŽŽŽŽ‘QëKŸøÁjŽŽŽŽ‘M£Ÿûs„fdfeŽŽŽŽŽŽ‘H^TŸüš„fdfeŽŽŽŽŽŽ‘F~Ÿü´„fdfeŽŽŽŽŽŽ‘D¶ŸýT„fdfeŽŽŽŽŽŽ‘B½gŸýõ „fdfeŽŽŽŽŽŽ‘@ÝŸþ•†„fdfeŽŽŽŽŽŽ‘>üÉŸÿ6„fdfeŽŽŽŽŽŽŽŽŽŽŽŽŸ×j‰ffìÙ2¦²The–UUÏvariant‘H-²should“bGe“emptš¸ãy“or“one“of“the“follo˜wing:ŽŸ ;‰ffìÙ2Ÿ ×g‘6NÐ^Ž‘@VK²\abGo•¸ãv“e"‘UUv‘ÿqÇarian“tŽŽŽŽ¤ ‘6NÐ_Ž‘@VK²\bGelo•¸ãw"‘UUv‘ÿqÇarian“tŽŽŽŽ¡‘6NÐ2ŽŽ‘@VK²\double"‘UUv‘ÿqÇarian¸ãtŽŽŽŽ¡‘6NÐ3ŽŽ‘@VK²\triple"‘UUv‘ÿqÇarian¸ãtŽŽŽŽŸq‰ffìÙ2Ÿ&ÕHere–í~are“some“standard“arro¸ãws“in“this“notation,‘SˆallŽ¡from–UUµA“²to“µB‘ÕƲas“usual:ŽŸ5‘Cá„ŸŽ:Ð@{<->}ŽŽŽŽ‘uqŸêªµAŽŽŽŽŽŽ‘rŸý€ºo»oŽŽŽŽ’sŸý€º/»/ŽŽŽŽ‘rŸý³2„fdŽ’ sŸêªµBŽŽŽŽŽŽ‘AA†ŸÉóÐ@^{<->}ŽŽŽŽ‘uqŸ&cµAŽŽŽŽŽŽ‘rŸ »¹»oŽŽŽŽ’sŸ »¹º/ŽŽŽŽ‘rŸ îë„fdŽ’ sŸ&cµBŽŽŽŽŽŽ‘AA†ŸöÐ@_{<->}ŽŽŽŽ‘uqŸbµAŽŽŽŽŽŽ‘rŸ÷rºoŽŽŽŽ’sŸ÷r»/ŽŽŽŽ‘rŸ*¤„fdŽ’ sŸbµBŽŽŽŽŽŽ‘AA†Ÿ.AeÐ@2{<->}ŽŽŽŽ‘uqŸ.ÕµAŽŽŽŽŽŽ‘rŸ+3+ºk»sŽŽŽŽ’sŸ+3+º+»3ŽŽŽŽ’‚rŸ*f^„fdŽŽ’‚rŸ,f\„fdŽŽŽ’ sŸ.ÕµBŽŽŽŽŽŽ‘AA†Ÿ=}Ð@3{<->}ŽŽŽŽ‘uqŸ=ÙŽµAŽŽŽŽŽŽ‘rŸ:nä¹_ŽŽ‘rŸ:näºj»tŽŽŽŽŽŽŽŽŽŽ’˜sŸ:nä¹_ŽŽ’sŸ:näº*»4ŽŽŽŽ’‚´¥Ÿ8¢„fd™›ŽŽ’‚´¥Ÿ<¢„fd™›ŽŽ’‚´¥Ÿ:¢„fd™›ŽŽ’ sŸ=ÙŽµBŽŽŽŽŽŽŽŽŽŽŽŽŽŽŸLW’ßj:²5ŽŽŒ‹î› Á à ý*tj ¶?? ýg«w‘ð²As–ë a“spGecial“con•¸ãv“enience‘ë Ð=Ž– ²and‘ë Ð:Ž“²are–ë pro¸ãvided“as“ab-Ž¤ ‘ðbreviations–UUfor“Ð-Ž› ꧲and“Ð.Ž˜²with“v‘ÿqÇarian¸ãt“forced“to“Ð2Ž‘•R².Ž¡‘ú As–ø it“can“bGe“seen,‘ ºthe“v‘ÿqÇarian¸ãt“will“a ect“the“Ïentir‘ÿ}'eŽ¡‘ð²arroš¸ãw.‘1Sometimes–•this“is“not“what“is“w˜an˜ted.‘1In“thatŽ¡‘ðcase–'¿a“Ïlo–ÿ}'c“al‘i÷variant‘—²can–'¿bGe“used“bš¸ãy“en˜tering“an˜y“of“theŽ¡‘ðÏtail²,–UUÏshaft²,“and“Ïhe‘ÿ}'ad²,“on“the“follo¸ãwing“form:Ž‘ðŸ Úœ‰ffìÙ2Ÿ æá‘VYÏÏvariant‘òØÐ{Ž‘2ÕÏtip‘¡˜Ð}ŽŽŽ¡‘VYÏÏvariant‘òØÐ{Ž‘2ÕÏshaft‘òØÐ}ŽŽŽŸ€‰ffìÙ2Ÿt6²Here–UUare“some“arro¸ãws“where“this“is“required:ŽŸ‚o‘9‹ŸŽ:Ð@{^{(}->}ŽŽŽŽ’ƒAoŸêªµAŽŽŽŽŽŽ’‹ArŸû¼‘þŸý€ŽŽŽŽŽŽŽ’¥ÁoŸý€º/»/ŽŽŽŽ’ÁpŸý³2„fdÿÿŽ’¨ÁoŸêªµBŽŽŽŽŽŽ‘9‹Ÿº×Ð@{|-_{>}}ŽŽŽŽ’ƒAoŸ&cµAŽŽŽŽŽŽ’ÁpŸ ;¹¹ŽŽŽŽŽŽ’¥ÁoŸ »¹»/ŽŽŽŽ’ÁpŸ îë„fdÿÿŽ’¨ÁoŸ&cµBŽŽŽŽŽŽŽŽŽŽŸ"š™²Notice–•that“there“is“no“distinction“bGet•¸ãw“een–•shafts“andŽ¡tips–Susing“this“form,‘‰Óth¸ãus“it“is“necessary“to“include“allŽ¡three–èof“Ïtail²,– ÊÏshaft²,“and›èÏhe‘ÿ}'ad²,“when˜using˜it.‘*The˜ad-Ž¡v‘ÿqÇan¸ãtage–Ï5is“that“it“is“pGossible“then“to“\ ll“with“a“tip."Ž¡F‘ÿ*ªurthermore,‘ß]the–ÃÂfollo¸ãwing“additional“pGossibilities“areŽ¡a¸ãv‘ÿqÇailable–UUwhen“using“this“notation:ŽŸ Z ‰ffìÙ2Ÿ 1C‘ÄÐ{|-}ŽŽ‘9ëןø¢^¹'ŽŽŽŽ‘:‡Ÿû:gŽŽŽŽŽŽŽ‘:SÞŸûBj„fdfeŽŽŽŽŽŽ‘8‡ôŸûµe„fdfeŽŽŽŽŽŽ‘6¼ Ÿü(`„fdfeŽŽŽŽŽŽ‘4ð Ÿü›[„fdfeŽŽŽŽŽŽ‘3$6ŸýV„fdfeŽŽŽŽŽŽ‘1XLŸýQ„fdfeŽŽŽŽŽŽ‘/ŒbŸýôL„fdfeŽŽŽŽŽŽ‘-ÀxŸþgG„fdfeŽŽŽŽŽŽ‘+ôŽŸþÚB„fdfeŽŽŽŽŽŽ‘*(¤ŸÿM=„fdfeŽŽŽŽŽŽ‘(\ºžÀ8„fdfeŽŽŽŽŽŽ‘&О33„fdfeŽŽŽŽŽŽŽŽŽŽŽ‘RKÐ^{|-}ŽŽ’‰¬Ÿö5‚¹'ŽŽŽ’ŠNŸû:gŽŽŽŽŽŽŽ’ŠíŸûBj„fdfeŽŽŽŽŽŽ’ˆOŸûµe„fdfeŽŽŽŽŽŽ’†ƒŸü(`„fdfeŽŽŽŽŽŽ’„·/Ÿü›[„fdfeŽŽŽŽŽŽ’‚ëEŸýV„fdfeŽŽŽŽŽŽ’[ŸýQ„fdfeŽŽŽŽŽŽ‘SqŸýôL„fdfeŽŽŽŽŽŽ‘}‡‡ŸþgG„fdfeŽŽŽŽŽŽ‘{»ŸþÚB„fdfeŽŽŽŽŽŽ‘yﳟÿM=„fdfeŽŽŽŽŽŽ‘x#ÉžÀ8„fdfeŽŽŽŽŽŽ‘vWßž33„fdfeŽŽŽŽŽŽŽŽŽŽŽ’¢$Ð_{|-}ŽŽ’Ú.Ÿû:¹'ŽŽŽ’Ú.Ÿû:gŽŽŽŽŽŽŽ’ÙáüŸûBj„fdfeŽŽŽŽŽŽ’ØŸûµe„fdfeŽŽŽŽŽŽ’ÖJ(Ÿü(`„fdfeŽŽŽŽŽŽ’Ô~>Ÿü›[„fdfeŽŽŽŽŽŽ’Ò²TŸýV„fdfeŽŽŽŽŽŽ’ÐæjŸýQ„fdfeŽŽŽŽŽŽ’Ï€ŸýôL„fdfeŽŽŽŽŽŽ’ÍN–ŸþgG„fdfeŽŽŽŽŽŽ’Ë‚¬ŸþÚB„fdfeŽŽŽŽŽŽ’ɶŸÿM=„fdfeŽŽŽŽŽŽ’ÇêØžÀ8„fdfeŽŽŽŽŽŽ’Æîž33„fdfeŽŽŽŽŽŽŽŽŽŽŽŽ¡‘W‹Ð{|=}ŽŽ’‰tÏŸ÷ª¹'ŽŽŽŽ’ŠŸúãgŽŽŽŽŽŽŽŽ’‰ðýŸùšµ'ŽŽŽŽ’ŠŒ6Ÿü‘gŽŽŽŽŽŽŽŽŽ’ŠíŸûBj„fdfeŽŽŽŽŽŽ’ˆOŸûµe„fdfeŽŽŽŽŽŽ’†ƒŸü(`„fdfeŽŽŽŽŽŽ’„·/Ÿü›[„fdfeŽŽŽŽŽŽ’‚ëEŸýV„fdfeŽŽŽŽŽŽ’[ŸýQ„fdfeŽŽŽŽŽŽ‘SqŸýôL„fdfeŽŽŽŽŽŽ‘}‡‡ŸþgG„fdfeŽŽŽŽŽŽ‘{»ŸþÚB„fdfeŽŽŽŽŽŽ‘yﳟÿM=„fdfeŽŽŽŽŽŽ‘x#ÉžÀ8„fdfeŽŽŽŽŽŽ‘vWßž33„fdfeŽŽŽŽŽŽŽŽŽŽŽ’¢$Ð3{|-}ŽŽ’ØýÆŸö±¯¹'ŽŽŽŽ’Ù˜ÿŸù‹gŽŽŽŽŽŽŽŽ’Ùö$Ÿú“ 'ŽŽŽŽ’Ú‘]ŸüÿégŽŽŽŽŽŽŽŽ’ÙyõŸø¢^'ŽŽŽŽ’Ú.Ÿû:gŽŽŽŽŽŽŽŽ’ÙeÍŸùQ»„fdfeŽŽŽŽŽŽ’×™ãŸùĶ„fdfeŽŽŽŽŽŽ’ÕÍùŸú7±„fdfeŽŽŽŽŽŽ’ÔŸúª¬„fdfeŽŽŽŽŽŽ’Ò6%Ÿû§„fdfeŽŽŽŽŽŽ’Ðj;Ÿû¢„fdfeŽŽŽŽŽŽ’ΞQŸü„fdfeŽŽŽŽŽŽ’ÌÒgŸüv˜„fdfeŽŽŽŽŽŽ’Ë}Ÿüé“„fdfeŽŽŽŽŽŽ’É:“Ÿý\Ž„fdfeŽŽŽŽŽŽ’Çn©Ÿýω„fdfeŽŽŽŽŽŽ’Å¢¿ŸþB„„fdfeŽŽŽŽŽŽŽŽ’Ú^+Ÿý3„fdfeŽŽŽŽŽŽ’Ø’AŸý¦„fdfeŽŽŽŽŽŽ’ÖÆWŸþ„fdfeŽŽŽŽŽŽ’ÔúmŸþŒ „fdfeŽŽŽŽŽŽ’Ó.ƒŸþÿ„fdfeŽŽŽŽŽŽ’Ñb™Ÿÿr„fdfeŽŽŽŽŽŽ’Ï–¯žäû„fdfeŽŽŽŽŽŽ’ÍÊÅžWö„fdfeŽŽŽŽŽŽ’ËþÛŸÊñ„fdfeŽŽŽŽŽŽ’Ê2ñŸ=ì„fdfeŽŽŽŽŽŽ’ÈgŸ°ç„fdfeŽŽŽŽŽŽ’Æ›Ÿ#â„fdfeŽŽŽŽŽŽŽŽ’ÙáüŸûBj„fdfeŽŽŽŽŽŽ’ØŸûµe„fdfeŽŽŽŽŽŽ’ÖJ(Ÿü(`„fdfeŽŽŽŽŽŽ’Ô~>Ÿü›[„fdfeŽŽŽŽŽŽ’Ò²TŸýV„fdfeŽŽŽŽŽŽ’ÐæjŸýQ„fdfeŽŽŽŽŽŽ’Ï€ŸýôL„fdfeŽŽŽŽŽŽ’ÍN–ŸþgG„fdfeŽŽŽŽŽŽ’Ë‚¬ŸþÚB„fdfeŽŽŽŽŽŽ’ɶŸÿM=„fdfeŽŽŽŽŽŽ’ÇêØžÀ8„fdfeŽŽŽŽŽŽ’Æîž33„fdfeŽŽŽŽŽŽŽŽŽŽŽŽŽ¡‘ Ð{*}ŽŽ‘8ºCŸüÜ·ŽŽŽŽŽŽ‘:SÞŸûBj„fdfeŽŽŽŽŽŽ‘8‡ôŸûµe„fdfeŽŽŽŽŽŽ‘6¼ Ÿü(`„fdfeŽŽŽŽŽŽ‘4ð Ÿü›[„fdfeŽŽŽŽŽŽ‘3$6ŸýV„fdfeŽŽŽŽŽŽ‘1XLŸýQ„fdfeŽŽŽŽŽŽ‘/ŒbŸýôL„fdfeŽŽŽŽŽŽ‘-ÀxŸþgG„fdfeŽŽŽŽŽŽ‘+ôŽŸþÚB„fdfeŽŽŽŽŽŽ‘*(¤ŸÿM=„fdfeŽŽŽŽŽŽ‘(\ºžÀ8„fdfeŽŽŽŽŽŽ‘&О33„fdfeŽŽŽŽŽŽŽŽŽŽŽ‘W‹Ð^{`}ŽŽ’‡FŸù=š¼%ŽŽŽŽŽŽ’ŠíŸûBj„fdfeŽŽŽŽŽŽ’ˆOŸûµe„fdfeŽŽŽŽŽŽ’†ƒŸü(`„fdfeŽŽŽŽŽŽ’„·/Ÿü›[„fdfeŽŽŽŽŽŽ’‚ëEŸýV„fdfeŽŽŽŽŽŽ’[ŸýQ„fdfeŽŽŽŽŽŽ‘SqŸýôL„fdfeŽŽŽŽŽŽ‘}‡‡ŸþgG„fdfeŽŽŽŽŽŽ‘{»ŸþÚB„fdfeŽŽŽŽŽŽ‘yﳟÿM=„fdfeŽŽŽŽŽŽ‘x#ÉžÀ8„fdfeŽŽŽŽŽŽ‘vWßž33„fdfeŽŽŽŽŽŽŽŽŽŽŽ’§R!Ð_{`}ŽŽ’Ú.Ÿû:¼ŽŽŽŽŽ’ÙáüŸûBj„fdfeŽŽŽŽŽŽ’ØŸûµe„fdfeŽŽŽŽŽŽ’ÖJ(Ÿü(`„fdfeŽŽŽŽŽŽ’Ô~>Ÿü›[„fdfeŽŽŽŽŽŽ’Ò²TŸýV„fdfeŽŽŽŽŽŽ’ÐæjŸýQ„fdfeŽŽŽŽŽŽ’Ï€ŸýôL„fdfeŽŽŽŽŽŽ’ÍN–ŸþgG„fdfeŽŽŽŽŽŽ’Ë‚¬ŸþÚB„fdfeŽŽŽŽŽŽ’ɶŸÿM=„fdfeŽŽŽŽŽŽ’ÇêØžÀ8„fdfeŽŽŽŽŽŽ’Æîž33„fdfeŽŽŽŽŽŽŽŽŽŽŽŽ¡‘W‹Ð^{'}ŽŽ’ŠNŸû:¼EŽŽŽŽŽ’ŠíŸûBj„fdfeŽŽŽŽŽŽ’ˆOŸûµe„fdfeŽŽŽŽŽŽ’†ƒŸü(`„fdfeŽŽŽŽŽŽ’„·/Ÿü›[„fdfeŽŽŽŽŽŽ’‚ëEŸýV„fdfeŽŽŽŽŽŽ’[ŸýQ„fdfeŽŽŽŽŽŽ‘SqŸýôL„fdfeŽŽŽŽŽŽ‘}‡‡ŸþgG„fdfeŽŽŽŽŽŽ‘{»ŸþÚB„fdfeŽŽŽŽŽŽ‘yﳟÿM=„fdfeŽŽŽŽŽŽ‘x#ÉžÀ8„fdfeŽŽŽŽŽŽ‘vWßž33„fdfeŽŽŽŽŽŽŽŽŽŽŽ’§R!Ð_{'}ŽŽ’ÝFŸüàÚ¼eŽŽŽŽŽŽ’ÙáüŸûBj„fdfeŽŽŽŽŽŽ’ØŸûµe„fdfeŽŽŽŽŽŽ’ÖJ(Ÿü(`„fdfeŽŽŽŽŽŽ’Ô~>Ÿü›[„fdfeŽŽŽŽŽŽ’Ò²TŸýV„fdfeŽŽŽŽŽŽ’ÐæjŸýQ„fdfeŽŽŽŽŽŽ’Ï€ŸýôL„fdfeŽŽŽŽŽŽ’ÍN–ŸþgG„fdfeŽŽŽŽŽŽ’Ë‚¬ŸþÚB„fdfeŽŽŽŽŽŽ’ɶŸÿM=„fdfeŽŽŽŽŽŽ’ÇêØžÀ8„fdfeŽŽŽŽŽŽ’Æîž33„fdfeŽŽŽŽŽŽŽŽŽŽŽŽŸ Üb‰ffìÙ2Ÿóº²The–‡Dev¸ãen“more“general“form“Ð*Ž‘ÇAÏobje‘ÿ}'ct‘z²can“bGe“used,‘°{whereŽ¡Ïobje‘ÿ}'ct‘-€²refers–:¨to“an¸ãy“of“the“constructions“describGed“inŽ¡section‘UU2.2.ŽŸiÑExercise‘ÕT9:‘ ²T¸ãypGeset‘UUŸêªµAŽŽŽŽŽŽ‘Ö]Ÿùú:»vŽŽŽŽ‘(Ö)ŸùÜ´)ŽŽŽŽ‘¬ŸŸú)’„fdfeŽŽ‘ø7Ÿú 2„fdfeŽŽ‘CÍŸùí’„fdfeŽŽ‘cŸùв„fdfeŽŽ‘ÚùŸù´’„fdfeŽŽ‘&Ÿù™2„fdfeŽŽ‘r%Ÿù~’„fdfeŽŽ‘½»Ÿùd²„fdfeŽŽ‘ QŸùK’„fdfeŽŽ‘TéŸù32„fdfeŽŽ‘ Ÿù’„fdfeŽŽ‘ìŸù²„fdfeŽŽ‘7«Ÿøî’„fdfeŽŽ‘ƒAŸøÙ2„fdfeŽŽ‘ÎןøÄ’„fdfeŽŽ‘mŸø°²„fdfeŽŽ‘fŸø’„fdfeŽŽ‘±›Ÿø‹2„fdfeŽŽ‘ý1Ÿøy’„fdfeŽŽ‘HÇŸøh²„fdfeŽŽ‘”]ŸøX’„fdfeŽŽ‘ßóŸøI2„fdfeŽŽ‘+‰Ÿø:’„fdfeŽŽ‘wŸø,²„fdfeŽŽ‘µŸø’„fdfeŽŽ‘MŸø2„fdfeŽŽ‘YãŸø’„fdfeŽŽ‘¥yŸ÷ü²„fdfeŽŽ‘ñŸ÷ò’„fdfeŽŽ‘<¥Ÿ÷é2„fdfeŽŽ‘ˆ;Ÿ÷à’„fdfeŽŽ‘ÓÑŸ÷ز„fdfeŽŽ‘gŸ÷Ñ’„fdfeŽŽ‘jÿŸ÷Ë2„fdfeŽŽ‘¶•Ÿ÷Å’„fdfeŽŽ‘+Ÿ÷À²„fdfeŽŽ‘MÁŸ÷¼’„fdfeŽŽ‘™WŸ÷¹2„fdfeŽŽ‘äíŸ÷¶’„fdfeŽŽ‘0ƒŸ÷´²„fdfeŽŽ‘|Ÿ÷³’„fdfeŽŽ‘DZŸ÷³2„fdfeŽŽ‘GŸ÷³’„fdfeŽŽ‘^ÝŸ÷´²„fdfeŽŽ‘ªsŸ÷¶’„fdfeŽŽ‘ö Ÿ÷¹2„fdfeŽŽ‘AŸŸ÷¼’„fdfeŽŽ‘5Ÿ÷À²„fdfeŽŽ‘ØËŸ÷Å’„fdfeŽŽ‘$aŸ÷Ë2„fdfeŽŽ‘o÷Ÿ÷Ñ’„fdfeŽŽ‘»Ÿ÷ز„fdfeŽŽ‘ #Ÿ÷à’„fdfeŽŽ‘ R¹Ÿ÷é2„fdfeŽŽ‘ žOŸ÷ò’„fdfeŽŽ‘ éåŸ÷ü²„fdfeŽŽ‘!5{Ÿø’„fdfeŽŽ‘!Ÿø2„fdfeŽŽ‘!Ì©Ÿø’„fdfeŽŽ‘"?Ÿø,²„fdfeŽŽ‘"cÕŸø:’„fdfeŽŽ‘"¯kŸøI2„fdfeŽŽ‘"ûŸøX’„fdfeŽŽ‘#F—Ÿøh²„fdfeŽŽ‘#’-Ÿøy’„fdfeŽŽ‘#ÝÅŸø‹2„fdfeŽŽ‘$)[Ÿø’„fdfeŽŽ‘$tñŸø°²„fdfeŽŽ‘$À‡ŸøÄ’„fdfeŽŽ‘% ŸøÙ2„fdfeŽŽ‘%W³Ÿøî’„fdfeŽŽ‘%£IŸù²„fdfeŽŽ‘%îߟù’„fdfeŽŽ‘&:wŸù32„fdfeŽŽ‘&† ŸùK’„fdfeŽŽ‘&Ñ£Ÿùd²„fdfeŽŽ‘'9Ÿù~’„fdfeŽŽ‘'hÏŸù™2„fdfeŽŽ‘'´eŸù´’„fdfeŽŽ‘'ÿûŸùв„fdfeŽŽ‘(K‘Ÿùí’„fdfeŽŽ‘(—)Ÿú 2„fdfeŽŽŽŽŽŽ‘ ŸÒ“·ŽŽŽŽŽŽ‘' \ŸðŽŽŽŽŽŽ‘[ØžÊĹ0ŽŽŽŽŽŽ‘RéŸ,¿Ÿ'°ŽŽŽŽŽŽŽŽŽŽŽŽŽŽ‘$8wŸÓÄNŽŽŽŽŽŽ‘%AfŸ5<ŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽŽ‘+ÕUŸêªµBŽŽŽŽŽŽŽŽŽ‘:@ã².ŽŸiÒ2.4Ž‘ÀSliding–€arroš ws“sidew˜a˜ysŽŸuT²It–HRis“often“desirable“to“ha•¸ãv“e›HRsev“eral˜parallel˜arro“ws˜bGe-Ž¡t•¸ãw“een›Aít“w“o˜ob‘Ž8jects.‘úThis˜can˜bGe˜done˜b“y˜sliding˜either˜orŽ¡bGoth–²ÿarroš¸ãws“sidew˜a˜ys“a“distance“giv˜en“as“a“T‘þU>Ÿ'EŽ‘ãxX“dimen-Ž¡sion–öñenclosed“in“Ð@<>²s:‘´ÿit“spGeci es“hoš¸ãw“far“\sidew˜a˜ys"Ž¡the–UUarroš¸ãw“should“bGe“mo˜v˜ed,“Ïe².Ïg².,Ž©N8Ð\xymatrix{ŽŽ¡–?ýA“\ar@<1ex>[dr]^a_{.}“\\ŽŽ¡‘¿÷&–?ýB“\ar@<1ex>[ul]^b“\ar@<1ex>[r]^cŽŽ¡‘?ñ&–?ýC“\ar@<1ex>[l]^d_{.}“}ŽŽ¦²will‘UUt¸ãypGesetŽ¡‘L³ŸêªµAŽŽŽŽŽŽ‘i5ן Òü´aŽŽŽŽŽŽŽŽ‘a§Ÿ¡5:ŽŽŽŽŽŽŽŽ‘r¨žŸÒüº»ŽŽŽŽ‘oCŸRù¹@ŽŽŽŽ‘knŸèO@ŽŽŽŽ‘h ™Ÿ}¥@ŽŽŽŽ‘d‹ÄŸ û@ŽŽŽŽ‘a Q@ŽŽŽŽ‘]ˆŸ=§@ŽŽŽŽ‘ZEŸÒý@ŽŽŽŽŽ‘r3Ÿ%¿þµBŽŽŽŽŽŽ‘YôcŸÞ§´bŽŽŽŽŽŽŽŽ‘TŠŸ6º_»_ŽŽŽŽ‘TŠŸ™¹@ŽŽŽŽ‘WŠ_Ÿ rC@ŽŽŽŽ‘[ 4Ÿ Üí@ŽŽŽŽ‘^Ž ŸG—@ŽŽŽŽ‘bÞŸ²A@ŽŽŽŽ‘e‘³Ÿë@ŽŽŽŽ‘iˆŸ‡•@ŽŽŽŽŽ’‡q„Ÿ´cŽŽŽŽŽŽŽŽ’•IOŸº/»/ŽŽŽŽ‘}IPŸ:N„fdÿÿŽ’˜IOŸ%¿þµCŽŽŽŽŽŽ’‡&Ÿ.ý´dŽŽŽŽŽŽŽŽ’ˆ 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nal"“en¸ãtry:ŽŸN8‘ðÐ\xymatrix{ŽŽ¡‘õQ{\circ}ŽŽ¡‘ú‘\ar@{|-->}–?ý'[dr]“^aŽŽ¡‘4Pá'[rr]+D*{\bullet}‘?ý^bŽŽ¡‘9Þ[drrr]‘?ý^cŽŽ¡‘Pí&–?ý{\circ}“&“{\circ}“&“{\circ}“\\ŽŽ¡‘õQ{\circ}–?ý&“{\circ}“&“{\circ}“&“{\circ}“}ŽŽŸÍÏ‘ð²t¸ãypGesetsŽŸ ~Æ‘/}¡ž¸ã¸ŽŽŽŽŽŽŽ‘5ŽŸ„“¹ŽŽŽŽŽŽ‘FhõŸ ¸ã´aŽŽŽŽŽŽŽŽ‘L€Ÿ!`¹@ŽŽŽŽ‘E)xŸSá@ŽŽŽŽ‘>:pŸ †b@ŽŽŽŽ‘7KhŸ¸ã@ŽŽŽŽŽ‘u}¡ŸñǸŽŽŽŽŽ‘`Á7ŸUU´bŽŽŽŽŽŽŽŽ‘q«TŸ÷z¹zŽŽŽŽ‘iñnŸm³zŽŽŽŽ‘b7ˆŸãìzŽŽŽŽ‘Z}¢ŸZ%zŽŽŽŽŽ’‹²0ŸUT´cŽŽŽŽŽŽŽŽ’•}¡Ÿ[†º"»"ŽŽŽŽ’‘«TŸ3'¹DŽŽŽŽ’‰ñnŸ¼QDŽŽŽŽ’‚7ˆŸ E{DŽŽŽŽ‘z}¢ŸÎ¥DŽŽŽŽŽ‘R}¡ž¸ã¸ŽŽŽŽŽŽŽ‘u}¡ž¸ãŽŽŽŽŽŽŽ’˜}¡ž¸ãŽŽŽŽŽŽŽ‘/}¡Ÿ"*©ŽŽŽŽŽŽŽ‘R}¡Ÿ"*©ŽŽŽŽŽŽŽ‘u}¡Ÿ"*©ŽŽŽŽŽŽŽ’˜}¡Ÿ"*©ŽŽŽŽŽŽŽŽŽŽŽŸ4›6‘ð²As–UUyš¸ãou“see,“labGels“are“set“separately“on“eac˜h“segmen˜t.ŽŽŽ ýg«w’æê:ÑExercise‘ÕT12:‘ ²Tš¸ãypGeset–UUthe“\lam˜bšGda“cub˜e"ŽŸõ ’JbŸøãµ!ŽŽŽŽŽŽŽ’Ys Ÿý³2„fdñ™Ž’P …Ÿ€„‡feŽ’P …Ÿ& „ ‡ feŽ’yd¦ŸøãCŽŽŽŽŽŽŽ’€ …Ÿ& „"=feŽ’2Ó Ÿøã²2ŽŽŽŽŽŽŽŸü’F;»¹ŽŽŽŽ¤µ’CºŽŽŽŽ¡’A8QŽŽŽŽ¡’>¶œŽŽŽŽŽ’@¨cŸ³2„fdCŽ’8 …Ÿ?„#:feŽ’^ë}ŸøãµP‘c²2ŽŽŽŽŽŽŽŸü’v;»¹ŽŽŽŽ¤µ’sºŽŽŽŽ¡’q8QŽŽŽŽ¡’n¶œŽŽŽŽŽ’h …Ÿ?„#:feŽ’JbŸ/øçµ!ŽŸ™”‰fe•TŽŽŽŽŽŽŽŽ’Ys Ÿ-³2„fd ʪŽ’k=·Ÿ-³2„fd㎒v ÓŸ/øçP‘c!Ž‘cŸ™”‰fe•TŽŽŽŽŽŽŽŽ’0S ŸHøã¸!ŽŽŽŽŽŽŽŽ’C(cŸE³2„fdCŽŸ8ù’E;¾¹ŽŽŽŽ¤B’’Aù,ŽŽŽŽ¡’>¶šŽŽŽŽŽ’ak}ŸHøãµPŽŽŽŽŽŽŽŸ8ù’u;¾¹ŽŽŽŽ¤B’’qù,ŽŽŽŽ¡’n¶šŽŽŽŽŽŽŽŽŽŸ_ßÊ’æê:ÏHint‘òز:‘$ø\going–»¸under"“an“emptš¸ãy“en˜try“lea˜v˜es“a“small“gapŽ¤ ’æê:at–p»that“loGcation.‘ÃùThe“compactness“is“ac•¸ãhiev“ed–p»using“aŽ¡’æê:tric¸ãk–UUdescribGed“in“section“3.3.ŽŸ!/•’æê:Ò2.8Ž’ª:More–€b`ending“arro wsŽŸG¥’æê:²Finally‘ÿ*ª,‘Earroš¸ãws–¾can“bGend“around“en˜tries:‘CHjust“insertŽ¡’æê:Ð`µd‘ª¨t²,–ÿÌÏi².Ïe².,“a–ªbacš¸ãkquote“and“a“direction“µd“²follo˜w˜ed“b˜yŽ¡’æê:a–žÁtarget“µt²,‘ñfor“eac¸ãh“\turn"“that“starts“out“in“the“µd²-Ž¡’æê:direction–Øéand“ends“in“a“quarter“turn“to•¸ãw“ards–Øéthe“tar-Ž¡’æê:get–@sµt².‘jÑThis“is“di eren¸ãt“from“the“curving“describGed“ear-Ž¡’æê:lier–íãin“that“all“turns“consist“of“a“straigh¸ãt“part“endingŽ¡’æê:in–קa“turn“whicš¸ãh“is“a“m˜ultiple“of‘׫ŸýØä±1Ž‘º„²/‘þ€ŸŽ±8ŽŽ‘£²circle“segmen˜ts,‘ðÊandŽ¡’æê:eac•¸ãh›UUsegmen“t˜allo“ws˜separate˜labGels.Ž© 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ª`_dl[drrr]^eŽŽ¡’%ê[drrr]^fŽŽ¡’*&–?ý{\circ}“&“{\circ}“&“{\circ}“\\ŽŽ¡’ì*7{\circ}–?ý&“{\circ}“&“{\circ}“&“{\circ}“}ŽŽŸHÈ’æê:²t¸ãypGesetsŽŸj³’±Åž¸ã¸ŽŽŽŽŽŽŽ’"±ËŸ€½EŽ’)ÃýŸ€DŽŽŽŽŽ’ÆŸú€´aŽŽŽŽŽŽŽŽ’"±ÆŸý³2„fdŽ’,±ËŸ€½@Ž’/Ÿ™Ÿ€AŽŽŽŽŽ’/±ËŸ î;´bŽŽŽŽŽŽŽŽ’_1ÅŸ €@½Ž’bØŸ €@ŽŽŽŽŽ’I(XŸ€"´cŽŽŽŽŽŽŽŽ’6±ËŸ³7„f*(úŽ’c1†Ÿ€½Ž’d]rŸ€ŽŽŽŽŽ’\óŸ îY´dŽŽŽŽŽŽŽŽ’bþTŸ €@„ @feŽ’žû⟽Ž’¡ÏõŸŽ’¡ÏõŸŽŽŽŽŽ’1Ÿú´eŽŽŽŽŽŽŽŽ’g1…Ÿý³3„fã7Ê]Ž’—ÝŸÿfŽŽŽŽŽŽŽŽ’‹j¨Ÿ¸ãº»ŽŽŽŽŸ/ã’‹j¨Ÿ‰¹ŽŽŽŽ¤üÛI’Ž_Ÿ‰ŽŽŽŽ¡’‘´Ÿ‰ŽŽŽŽ¡’”ØÍŸ‰ŽŽŽŽ¡’—ý„Ÿ‰ŽŽŽŽ¡’›";Ÿ‰ŽŽŽŽ¡’žFòŸ‰ŽŽŽŽŽ’=±Åž¸ã¸ŽŽŽŽŽŽŽ’`±Åž¸ãŽŽŽŽŽŽŽ’ƒ±Åž¸ãŽŽŽŽŽŽŽ’±ÅŸ"*©ŽŽŽŽŽŽŽ’=±ÅŸ"*©ŽŽŽŽŽŽŽ’`±ÅŸ"*©ŽŽŽŽŽŽŽ’ƒ±ÅŸ"*©ŽŽŽŽŽŽŽŽŽŽŽŸ9’æê:²The–UUexample“illustrates“the“folloš¸ãwing“pGoin˜ts:ŽŽŽŽŽŸLW’ßj:7ŽŽŒ‹t" Á à ý*tj ¶?? ýg«w‘ú ¸ŽŽŽ‘ ²If–™úthe“segmen¸ãt“can“not“bGe“made“as“short“as“re-Ž¤ ‘ quired–)ithen“it“will“pGoin¸ãt“`past"“the“target.‘c#This“isŽ¡‘ useful–UUfor“\going“around"“en¸ãtries.Ž©k(‘ú ¸ŽŽŽ‘ ²There–¨‘is“Ïone‘à{Ð`Ž‘ óÏp‘ÿ}'er‘à{turn‘lô²thš¸ãus“eac˜h“target“appGearsŽ¡‘ 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ä²(where–(âthe“pšGossibilities“for“Ïve‘ÿ}'ctor‘}{%ŽŽ¡‘?ý!/4.5pt/@{|}*:(1,-.2)@^{>}*:(1,+.2)@_{>}}ŽŽ¦²de nes–UUa“new“tip“that“mak¸ãesŽ¦Ð\xymatrix{–?ýA“\ar“@{=|>}“[r]“&“B“}ŽŽ¦²t•¸ãypGeset‘ﻟꪵAŽŽŽŽŽŽ‘'/»Ÿû¹ŽŽŽŽŽŽ‘+¯»Ÿý€º,ŽŽŽŽ‘+¯»Ÿý€»2ŽŽŽŽŽŽŽŽŽŽ‘o¼Ÿü³3„fd¿ÿŽŽ‘o¼Ÿþ³1„fd¿ÿŽŽŽ‘,o»ŸêªµBŽŽŽŽŽŽŽŽŽ‘;u¯².‘@øNotice›ï»ho“w˜the˜\relativ“e˜direc-Ž¡tion"–Ĥis“used“here“to“rotate“some“of“the“compGosed“com-Ž¡pGonen¸ãts.ŽŽŽ ýg«w’æê:ÑExercise‘¦ 14:‘ ²Often–Mštips“used“as“\tails"“ha•¸ãv“e–Mštheir“inkŽ¤ ’æê:on–Othe“wrong“side“of“the“pGoin¸ãt“where“they“are“placed.Ž¡’æê:F‘ÿ*ªortunately–OPspace“(Ð ²)“is“also“a“tip“cš¸ãharacter“so“w˜e“canŽ¡’æê:de ne–ǧthe“directional“Ð >“²to“generate“a“\tail-spaced"Ž¡’æê:arroš¸ãw.‘qÇDo–UUthis“suc˜h“thatŽ©N8’æê:Ð\xymatrix{–?ýA“\ar“@{>->}‘ ú@<“2pt>“[r]ŽŽ¡’+*\ar–?ý@{“>->}“@<-2pt>“[r]“&“B“}ŽŽŸi+’æê:²t¸ãypGesetsŽŸ PÙ’F‹·ŸêªµAŽŽŽŽŽŽ’Q ¸Ÿû€º/»/ŽŽŽŽ’i ·Ÿû€º/»/ŽŽŽŽ’Q ¸Ÿû³2„fdÿÿŽ’S‹¸Ÿÿ€º/»/ŽŽŽŽŽŽŽŽŽŽ’i ·Ÿÿ€º/»/ŽŽŽŽ’S‹¸ž³2„fdÿŽ’l ·ŸêªµBŽŽŽŽŽŽŽŽŽŽŸPÙŸ ó’ðê;²Finally‘ÿ*ª,‘*when‘ÿ…X‘üÿþŸ¸áYŽŽ‘ 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²The–UUauthor“didŽŸN8’æê:Ð\xymatrix{ŽŽ¡’ì*7{\bullet}‘?ý\ar@{--}[d]\ar@{=}[dr]\ar@{-}[r]ŽŽ¡’ ª&–?ý{\bullet}“\ar@{.}[d]“\\ŽŽ¡’ì*7{\bullet}–?ý&“{\bullet}“\ar[l]“}ŽŽŸRÉ’æê:²Notice–¬Nho¸ãw“¸“²has“bGeen“enclosed“in“Ð{}Ž‘Ø–²since“it“is“anŽ¡’æê:\expandable"›UUen•¸ãtit“y‘ÿ*ª,˜Ïi².Ïe².,˜a˜de ned˜macro.Ž¦’æê:ÑAnsw®9er–ÕTto“exercise“3“(p.3):‘ ²The–UUauthor“usedŽŸN8’æê:Ð\xymatrix{ŽŽ¡’ì*7A–?ý\ar[r]^f“\ar[dr]_{f;g}ŽŽ¡’ñj4&–?ýB“\ar[d]^g“\ar[dr]^{g;h}“\\ŽŽ’æê:Ÿ±‰ff^¼èŸ J=‘ "5Ÿý-:Æ8ŽŽŽ‘LÜÅMathematics–±nDepartmenšÃŽt,‘(tMacquarie“Univ˜ersit˜y–ÿJª,‘(tSydney“,Ž¤ €Australia–ÕX2109;“e-mail:‘Ç ross@mp‘ "5Ÿý-:Æ9ŽŽŽ‘LÜÅPÃŽartial–#;funding“for“this“collabš>>>{x^2}ŽŽ¡‘nÀ&–?ý2000“}ŽŽŸ{*‘ð²In–oÓparticular“notice“hoš¸ãw“the“break“w˜as“spGeci ed“to“hap-Ž¡‘ðpGen–texactly“where“the“t•¸ãw“o›tarro“ws˜cross.‘ÍöF‘ÿ*ªor˜an˜easierŽ¡‘ðbut–Ã9not“so“general“methoGd“see“exercise“12“last“in“sec-Ž¡‘ðtion‘UU2.7.ŽŸ쬑ðÑAnsw®9er–ÕTto“exercise“7“(p.5):‘ ²The–UUauthor“t¸ãypGedŽ¦‘ðÐ\xymatrix@1{–?ýA“\ar[r]^*+[o][F-]{x}“&“B“}ŽŽŸ:ä‘ðÑAnsw®9er–ÕTto“exercise“8“(p.5):‘ ²The–UUauthor“didŽ¦‘ðÐ\xymatrix@1{ŽŽ¡‘õQA–?ý\ar“@{/*\composite{{+}*{\times}}/}“[rr]ŽŽ¡‘Ðó^*+\txt{High\\label}ŽŽ¡‘õQ&&‘?ýB}ŽŽŸ:ä‘ðÑAnsw®9er–ÕTto“exercise“9“(p.6):‘ ²The–UUauthor“en¸ãteredŽ¦‘ðÐ\xymatrix{ŽŽ¡‘õQA–?ý\ar“@/^/“@{^{<}-_{>}}“[r]ŽŽ¡Ðÿ\ar–?ý@/_/“@{{*}{x}{*}}“[r]“&“B“}ŽŽŸ:ä‘ðÑAnsw®9er–ÕTto“exercise“10“(p.6):‘ ²The–UUauthor“t¸ãypGedŽ¦‘ðÐ\xymatrix@1{ŽŽ¡‘õQA–?ý\ar@/^/[r]“\ar@/^/@<-1ex>[r]“&“B“}ŽŽŸ:ä‘ðÑAnsw®9er–%to“exercise“11“(p.7):‘ ²The‘¼size:‘%$µtÐ+0Ž‘ < ²alw•¸ãa“ysŽ¡‘ðhas–UUzero“size.ŽŽŽ ýg«w’æê:ÑAnsw®9er–Jºto“exercise“12“(p.7):‘ ²The–x¢author“con-Ž¤ ’æê:structedŽ©N8’æê:Ð\xymatrix@!0{ŽŽ¡’ì*7&–?ý\lambda\omega“\ar@{-}[rr]\ar@{-}'[d][dd]ŽŽ¡’öª1&–?ý&“\lambda“C“\ar@{-}[dd]ŽŽ¡’æê:\\ŽŽ¡’ì*7\lambda2‘?ý\ar@{-}[ur]\ar@{-}[rr]\ar@{-}[dd]ŽŽ¡’ì*7&–?ý&“\lambda“P2“\ar@{-}[ur]\ar@{-}[dd]ŽŽ¡’æê:\\ŽŽ¡’ì*7&–?ý\lambda\underline\omega“\ar@{-}'[r][rr]ŽŽ¡’öª1&–?ý&“\lambda“P\underline\omegaŽŽ¡’æê:\\ŽŽ¡’ì*7\lambda{\to}‘?ý\ar@{-}[rr]\ar@{-}[ur]ŽŽ¡’ì*7&–?ý&“\lambda“P“\ar@{-}[ur]ŽŽ¡’æê:}ŽŽŸ[’ðê;²A‘š7spGecial–šgthing“is“added:‘PÐ@!Ž‘.±²forces“ro¸ãws“and“columnsŽ¡’æê:to–CbGe“equally“spaced“as“discussed“in“section“3.3;‘¹ÝÐ@!0ŽŽ¡’æê:²furthermore–¾makš¸ães“the“spacing“ignore“the“en˜try“sizes,Ž¡’æê:giving–E‘a“completely“ xed“grid.‘l†The“gaps“could“also“bGeŽ¡’æê:made–with“the“Ð!Ž‘\².–ªª.“.‘ƽcrossing–notation“of“exercise“6“lastŽ¡’æê:in–UUsection“2.1“but“the“abGo•¸ãv“e–UUis“shorter.ŽŸWÌ’æê:ÑAnsw®9er–ÕTto“exercise“13“(p.8):‘ ²The–UUauthor“t¸ãypGedŽ¦’æê:Ð\xymatrix@1{ŽŽ¡’ì*7A–?ý\ar@<-2pt>“`d[r]“`[r]“[r]ŽŽ¡’öª1\ar@<+2pt>–?ý`d[r]“`[r]“[r]“&“B“}ŽŽ¤¦’æê:ÑAnsw®9er–ÕTto“exercise“14“(p.8):‘ ²The–UUauthor“usedŽ¦’æê:Ð\newdir{‘?ý>}{{}*!/-5pt/@{>}}ŽŽ¡’æê:ÑAnsw®9er–ÕTto“exercise“15“(p.8):‘ ²The–UUauthor“t¸ãypGedŽ¦’æê:Ð\xymatrix@1{ŽŽ¤ ’ì*7A–?ý\ar[r]“|-{\SelectTips{cm}{}\object@{>>}}ŽŽ¡’j|>{\SelectTips{eu}{}\object@{>}}ŽŽ¡’ì*7&–?ýB“}ŽŽŸ¦’æê:ÑAnsw®9er–ÕTto“exercise“16“(p.9):‘ ²The–UUauthor“t¸ãypGedŽ¦’æê:Ð\xymatrix{ŽŽ¡’ì*7*=0{\bullet}ŽŽ¡’ì*7\ar@/^/[dr]!U|1ŽŽ¡’ì*7\ar@/^/[drr]!U|2ŽŽ¡’ì*7\ar@/^/[drrr]!U|3ŽŽ¡’æê:\\ŽŽ¡’ì*7&*+[F]\txt{x}ŽŽ¡’ì*7&*+[F]\txt{x\\x}ŽŽ¡’ì*7&*+[F]\txt{x\\x\\x}ŽŽ¡’æê:}ŽŽŸ¦’æê:ÑAnsw®9er–êYto“exercise“17“(p.9):‘ ²The–gœauthor“en¸ãteredŽ¡’æê:the‘UUdispla¸ãyŽ¦’æê:Ð\xymatrix@dr@C=1pc{ŽŽŽŽŽŽŸLW’Üê9²13ŽŽŒ‹r? Á à ý*tj ¶?? ýg«w‘õQÐa–?ý\ar[r]\ar@{->>}[d]“&“a'“\ar@{.>>}[d]“\\ŽŽ¤ ‘õQb–?ý\ar@{.>>}[r]‘$¿ë&“b'“}ŽŽŸ!hþ‘ðÑAnsw®9er–ÕTto“exercise“18“(p.10):‘ 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