DBS Bank | Taiwan - E:2¬:!Ï ./f½!Y...5 ,

䔺㨡⋏ⸯ暽⅙

㓝⊮㼡㠫愾圊佟ᶻ㗇攎⊶㫏ⴲⴲ

佟䠦ᶡ䝺濣∮㒣㗝濣ᳫ劭㫏ⴲ㗆㒣⊶䱰◾濣KWWSZZZGEVFRPWZ宅壈䏱䱰◾濣KWWSPRSVWZVHFRPWZ

䔺墾ᵸ

⦺Ɲ嗮〈㕮

偞䨘Ɲ暭䬽䕌㚏ₚ姱嘼嘼敞

曢婘Ɲ

曢⬷惜ờῈ䮘ƝDQLWDVXZGEVFRP

ᶡ䋄䔺墾ᵸ

⦺Ɲ㤱䜆䏭

偞䨘Ɲ䇆怲敞

曢婘Ɲ

曢⬷惜ờῈ䮘ƝFKHQOLDQJGEVFRP

䳻圊⊈㤝㢉

Ɲ⋾Ὲ侐㝥Ẩ巖 ˚噆 ˚˚㧺

曢婘Ɲ

两堳⎱ⅎ㔖㩆㦲Ḳ⎱曢婘Ɲ婚奲昫拫

佟䠦弌ヴ幤䋄⑬ḋ㘆ⰼƋ䁊ƌ㥔执堳傈Ụ㛰昷⅓⏟两䵺䏭䦿㛟惏

ẟ䏦夓䨇㤝㢉

䨘Ɲ㾚㴙デ孤暂Ὲ䔏娼䬰傈Ụ㛰昷⅓⏟䁊⅓⏟

Ɲ⋾㝥ⱘ㕍⋽⋾巖噆㧺

曢婘Ɲ

䶙ƝKWWSZZZILWFKUDWLQJVFRP

䨘Ɲ0RRGrsquoVQYHVWRUV6HUYLFH+RQJRQJLPLWHG

Ɲ榀㸖憸揿怺噆⤑ 㧺

曢婘Ɲ

䶙ƝKWWSZZZPRRGVFRP

㖾序ⴲⵤ孟lceil䫻娇㗁壆

㛪姯⦺Ɲ㝾䶔䐑㛪姯˚permil凡㛪姯

Ṳ⋀㈧Ɲ岮媇偖㛪姯Ṳ⋀㈧

Ɲ⋾Ὲ侐⟡晭巖㮜噆㧺

曢婘Ɲ

䶙ƝKWWSZZZSZFFRPWZ

愾圊䱰◾ KWWSZZZGEVFRPWZ

1

䖬懂

傲佟㘯lceil㖶

孱愾圊䫟ᶉ 娔䪲㗌㜆 ṳ 执堳㲦材

⊁ ⊶㭹䋄lceil 执堳䴫主 ṳ 告Ṳ˚两䵺䏭˚≖两䵺䏭˚䏭˚惏敧˚㔖㩆㦲Ḣ䮈⎱桎岮㖀㯸䵍ế告Ṳ炷炷䌐灅吋ḳ炸˚两䵺䏭˚≖两䵺䏭⎱桎Ḳ慓憸 ⅓⏟㲢䏭怲ὃガ ṻ 㛪姯⅓岢岮姱 ⅔ 㛛㛪姯岮姱告Ṳ敞˚两䵺䏭˚岇岓岈⋀ㇽ㛪姯Ṳ⋀Ḳ䵺䏭ạƏ㛧徸ⅎ㛥Ợ偞㖣䰤嬰㛪姯

㈧ⱓṲ⋀㈧ㇽ⅝旃ᾩỨ㥔Ḳ朙岮姱 ⅒ ⎱凚㗌㭉Ə告Ṳ˚䵺䏭ạ⎱ᾄạㇽ旃ᾩạ㛰执堳ⷙ䙣堳㛰塏㱡㫱傈Ụ两㕟嵬怵㮻䍮䮈䏭徍㲼䬓㢄奶ㆰ䔚傈㫱俬Ḳ旃 ᾩ⎱㈧ㇽ峑傈㕟孱⊼ガ Ṅ 傈㮻ὲthere4Ḳ傈㝘Ə⅝䛟ṹ敺䂡旃ᾩạㇽ䂡愴˚ṳ䬰妑ỌⅎḲ妑ⱓ旃ᾩḲ

岮姱执堳˚执堳Ḳ告Ṳ˚两䵺䏭˚≖两䵺䏭˚䏭˚惏敧⎱㔖㩆㦲Ḣ䮈⎱执堳䛛

ㇽ敺propḲṲ㥔弰岮Ṳ㥔Ḳ傈㕟Əḍ姯䭾䶃傈㮻䍮

佄宅⸠ 岮㜓⎱傈Ụ ṳ 憸坴ₜ∟䙣堳ガ䉠∌傈徍䏭ガ㵞⬿姾ㅸ嬰徍䏭ガ ṻ ⷌ婴傈㫱ㅸ嬰徍䏭ガ ⅔ 昷propⷌ㫱∐㖗傈徍䏭ガ峣ㇽ孺⅝ẽ憸坴㩆㦲 ⅒ 岮憸怲䔏姯䕒⟞堳ガ

䂝弉㡀㭿㥔⋀ⅎ ṳ 㥔ⷌƝ㛧徸ṳ⎱凚㗌㭉㥔ⷌạ㕟Ə㛴⋀岮˚

潈˚㭞㮻䍮˚ⷌ㛰Ḳ㥔嬰䅎⎱怙姺ガ Ứ㥔岓Ợ⎱怺堳䂡杅㒻ỢḢ䮈偞⋀Ḳⷌạ㕟˚ⷌ䥶∐岢䔏⎱凮there4Ḳⷕ䕗 ṻ 岮姱娔₀ ⅔ sdot岮旃ᾩ 憴奨⤸䳫 ⅒ ᾄ憸坴岮䔉嬰∟⋽㢄ὲㇽ⊼䔉嬰∟⋽㢄ὲ䔚媲㠟徍䏭Ḳ嬰∟⋽桅 ❲⎱䛟旃岮姱

收孟㡀㭿㛧徸ṻ䰈㗵岮䔉岇ₜ塏˚䶃䚱塏⎱䰤嬰㛪姯Ḳ⦺⎱⅝㟌㠟ヶ奲 ṳ 㛧徸ṻ岈⋀㝷岈⋀Ḳ姯⦻㛪㟌岈⋀ ṻ 岈⋀塏 ⅔ 执堳⎱⅝旃ᾩỨ㥔 ⎱凚㗌㭉Ə㘖㛰䙣䔆岈⋀怘弰曊ガṲ⎱

⅝㜓堳岈⋀䊧㲨Ḳ柦

2

㚐孟䅾㭿⊈孟䳼㐆ᴉ㥠壌㙎僅杦敨䩟䋄ᵉ曃ᴉ夓岈⋀䊧㲨 ṳ 岈⋀严㔯䏥憸㴨憶憴⤎岮㜓㔖岈⋀㥔⋀Ḳ柦 ṻ 弰岮㔦䬽˚⅝䍙∐ㇽ噎ḲḢ奨˚㔠姯䕒⎱㜑Ὥ岮姯䕒 ⅔ 梏暑䮈䏭㩆嘼䏭ㆰ孱㩆prop ⅒ ⅝ẽ憴奨Ṳ柬

䄷⃣壖巇ᵉ曃旃ᾩỨ㥔䛟旃岮㖀 ṳ ⎱凚㗌㭉Ə䦨⋆㛰⃠嬰∟⎱憸坴ₜ∟徍䏭ガ ⎱凚㗌㭉Ə⬷⅓⏟㛰ㇽ嘼㜓堳傈䥏ガ ⅝ẽ奨壃ℬ媑㗵Ṳ柬 ṻ there4⎱凚㗌㭉Ə⥩䙣䔆嬰∟ẋ㗺㲼䬓⅔㢄䬓柬䬓ṳ㬥㈧

傈㝘㫱䚱ㇽ嬰∟⃠㠣㛰憴⤎柦ḲṲ柬Əẍㆰ忷柬廰㗵

攂懂Ჾ ⴲⵤ孟lceil攂懂ᵊ ⴲⵤ撚Ẁlceil㖶攂懂䳻圊⊈㤝㢉ᴉ◾⊈方夯

3

Ʊ傲佟㘯lceil㖶

4

Ʊ傲佟㘯lceil㖶

ἴ傈㝘⥚˚ℯ䔆Ɲ

桎㯸 ƏḔ併岦㗺䙣䔳旃Ə㳉⊼supeƏsupe䁊䵺㿆ㇷ敞䶔ἵ㩻Ə㙖

㰊䖙塄㒱Ə憸坴㥔杉减剘戬ƏἭ㘆ⰼƋ䁊ƌ㥔执堳傈Ụ㛰昷⅓⏟ƋỌ䰈䨘˥ 㘆ⰼƋ

䁊ƌ˦ㇽ˥㜓堳˦ƌẴ䩐䇆怲Ə凛sub㖣⊼≜㖗䙫憸坴姊㱡㖠㠯Ə晑Ἓ敞㜆ㇷ敞˛

䂡ṭ怙㭌吤㷘俼䁊䙫嫥Ə㯸㛯Ə㜓堳忶怵䙣堳㙕态傈㖠Ə岮㖗凡

rang吓KƏ岮两岮㜓栴总㖗凡 rang吓K˛岈⋀㖠杉ᾄ凱ῄ䩐㔝䚱Ə㯸

Ə䧬there4㷏∐䂡㖗凡 Ệ ὗ吓KƏ䧬㷏∐䂡㖗凡 Ệ ὗ吓KƏ䧬㮶傈

䚯棿㖗凡 KƏ傈㝘㫱䚱慓䍮䂡 Ə䳻䚱䍮䂡 ˛

⥇⟡㖣剖⥤䙫岮憸凮㥔⋀⟡䣵Ə㘆ⰼƋ䁊ƌ䔏暂䇆怲䵺樾⊐Ứ㥔庳暂˛ὲ⥩㘆ⰼ

凮⎲总ℰ曢䰤余˥㰟乳㕟怊䴷岟㬥 Ə˦楽≜Ọ䔚岟Ứ㥔Ḳ㰟乳严㔯塏䏥ὃ䂡岟㬥娼⟡㹽Əㇷ

䂡憸坴䔳凮䔉㥔䔳ὃ怙䁊㰟乳䙣ⰼ䙫⅟䮫˛㘩Ə㜓堳ẍ乳Ọ堳⊼subḔỨ㥔ƏḔ

Ứ㥔㔥㬥棿栴乳䩐Ⱜ执堳Ḳ楽˛

ὃ䂡㛧㕟ἴ执堳Ə㘆ⰼƋ䁊ƌ㖞怲䔏䦸桂奭ₚ䵘执堳㨊屳Ə⋬Ứ㥔⸚㘩䮈䏭㛴

⋀Ƌ6($5$3ƌ 㕟ἴ⊼ㄲ䢣ƋLJLWDO7RNHQƌ㛴⋀凮㘩㛴⋀ƋHDO

2QLQHƌ䬰≜㖗㖠㠯ƏᾂỨ㥔㭌暂䙫⤁K㕟ἴsupe㛴⋀Ə⊐Ứ㥔Ḣ䩨䠛㘩敺凮䩡敺

䙫昷propƏ暏㘩怲䰳Əimage⋽Ứ㥔䏥憸䮈䏭㴨䧲Ə䙣㛧⤎䇆怲㔯䚱˛

㵯岢憸坴㥔⋀䫖Ə晋ṭ懄檿岮䔉憶庒怇˥㘆ⰼ尷䛂俧䄈昷 Ə˦㜓堳ẍ忶怵ㆰ䔏䧲

Ẳ杉Ƌ$3ƌ堺Ə楽≜执堳$33凮䶙巖棷棙ḙ偖Ə孺⎲僤䫀㖣㘆ⰼampDUG$SS忶怵

(=7$(Əㇷ棷柷姩凮Ὲ䔏柷ế姩憸˛㭋Ə㜓堳Ṇimage⋽$ ạⷌ㙡ㅎ堺Ə䴁

䈯˥㘆ⰼ L 㛴 Ə˦㔖⎲ 1( 廼櫭ㇷ柬憸坴㛴⋀Ə⅝Ḕ弰⸚˚乚ẋ岟㬥˚

敲䪲⬿凮䬰执堳⸚ẋ㗺Ə㛛㘖柿ℯ䔉㥔楽≜ᾂƏ㜂弰䧢曢婘㛴䳫㟌婉憶

Ὲ䔏娼䬰惏Ə㜓堳ⷙ乳⤁䍙㾚㴙デ孤暂Ὲ䔏娼䬰傈Ụ㛰昷⅓⏟䁊⅓⏟ṯ

ⅎ敞㜆娼䬰˥$$$WZQ˦ ⅎ䟔㜆娼䬰˥)WZQ˦⎱ⰼ㜂䂡䩐Ḳ娼䬰Ə㜓堳Ḳ䇆怲峑˚

岈⋀⎱䩐『ṯỌ檿傖˛

晋㥔⋀㖠杉image䕗塏䏥Ə㜓堳ẍ㖣⋾䲥取⟆楽Ḣ徍˥㘆ⰼ㖗supe㭈㧩 Ə˦㖗supe䉠

㛰䙫⤁K㕮⋽Ẳ䴠䵍䁊㯸䜥Ə㘩⋽㜓堳䈳屈凮䟌Ə䍙䆘䂯䙫忛柦˛㭋Ə䂡ṭ≜

怇㰟乳⃠Ə㜓堳乳晑Ἓ䤥㛪Ứ㥔ㇷ敞Əᾂ岮㹷Ə㔖䤥㛪Ứ㥔Ọ≜㖗㥔㨈姊㱡䤥㛪

凮䒗栳Ə怇敞恇㭊杉䙫䤥㛪柦sub˛

㘆ⰼƋ䁊ƌ㷘俼䁊䙫⊑subeurolowast婴Ə㛛䍙ⅎ䌵柬傖Ə⊮⥑ˣẅ㴙执堳凮

憸坴ˤ曃婳˥䁊㛧㵯岢憸坴执堳˦˥䁊㛧暂岮姱㚏䇆怲执堳˦⑳˥䁊㛧暮

Ḣ䌵˦柬⤎䌵˛㘩㜓堳Ṇ䨴㥜䇆怇⎲ヰぬ䙫偞䒗˚䎴好ạ䙣ⰼ䙫ếƏẍ怊乳⅐䍙

柹x +5$VLDˤ˥ 䁊㛧暮Ḣ䌵 Ə˦㘩㦕䍙x 恇奲曃婳 Ứʕ㥔䤥㛪岓Ợ䌵˥ 䥶Ứ㥔䴫⁸㖠㠯˦

5

ⰼ㜂㜑ὭƏ㜓堳乳忶怵≜㖗Əᾂᾦ∐˚杉䙫㕟ἴ憸坴姊㱡㖠㠯Ə吤˥䔆㴢暏凯Ə㘆

ⰼ暏堳˦䙫䈳嫥˛孺执堳䛟旃䙫Ṳ⋀ẋ䵍㘆ⰼƏ㛛⤁㘩敺㳏䜆㭊㈧䙫ạṲ䉐Ə

总lowast˥憸坴丨䑊Ə䔆㴢㛛併⥤˦䙫䛕㨀˛

徸㜆㖗❲ↇ䊧䖬㮹Ƌamp29ƌ䖒ガ䇭䙣㜓堳㥔⋀䵺䇆ⷙ䔉䔆䢡Ḳ柦˛䵺䔳塂䔆䴫主

Ƌ+2ƌ㭊婴amp29䂡䏪㴨堳䖥䖬Ə䴂䴂奨Ḳ昙䖒㖤Əὦ䵺㿆㴢⊼㸂

˚ῲạ㵯岢昴ἵṆ䏪ᾂㆰ掯˚岦㗺˚妧ℰ㖬怱Ọ⎱䛟旃䔉㥔怇ㇷ塄㒱ƞ䖒ガ䆹㘩䧲⎱

䮫Ḳ䢡『柦岮ạῈƏὦ䏪憸坴䔉䔆≮䂯㳉⊼˛㜓堳乳妧䖒ガ

乳䙣ⰼ⎱䵺㿆䊧㲨Ḳ孱⊼ƏㄵㆰῈ䔏⎱㴨⊼『梏暑Əḍ暏㘩媦㕛䵺䇆䬽䕌Ọㆰ㜑Ὥ㽂Ḳ䵺

䇆㩆㛪⎱梏暑˛

匡ᵉ搵屗ᵬ㵨䳻䱑䋄㙕挩ⲛ

6

孱Ʊ愾圊䫟ᶉ

7

孱Ʊ愾圊䫟ᶉ

ᲾƱ 士䦉㒣㗝濣㜓堳㖣㯸灠㛯㗌㠟娔䪲˛

ᵊƱ 愾圊㭽昧濣

㘆ⰼ暭㘖ẅ㴙㛧⤎䙫憸坴㛴⋀暭ḲƏ㥔⋀怴⎱ ῲ˛两惏娔㖣㖗supeḍ㖣䕝䙫

㘆ⰼ暭Ə䨴㥜敲㊺ẅ㴙⤎ㇷ敞⟆Ə⤎Ḕ取˚㝘ẅ⑳ẅ˛㘆ⰼ暭岮㜓ℬ墼Ə㈧

䙫$$⑳ $DῈ岟䬰䴁䂡䏪执堳㥔㛧檿娼䴁˛

㖗supe㘆ⰼ执堳ƋỌ䰈䨘˥㘆ⰼ执堳 ƌ˦㖣㯸怙䁊Ə⋾娔䪲䬓

堳Əᾂⅎ⑳䙫憸坴㛴⋀Ə㥔⋀䮫䕮⋬Ứ㥔憸坴岮执堳㥔⋀Ọ⎱䏪憸坴Ƌ

⑳⅝ẽ憸坴ƌ䬰㛴⋀Ə㶜咲⤎❲⎱Ḕ❲Ứ㥔Ə执堳⎱杅执堳『峑䙫岈⋀憸坴㩆㦲˛

䂡㊺ⰼ䁊Ə㘆ⰼ执堳㖣㯸灠㛯㗌瀽凮Ḕ⤕⬿㬥ῄ暑⅓⏟㈧徍炶取㥔执烚㨀

㠯柭炯㨀Ə㔝峣取㥔执烚Ḳ岮䔉˚岇ₜ⎱䇆怲Əḍ㖣灠㛯㗌㥩婙堳Ə㥔⋀

凚䁊Ḳ㵯岢憸坴⎱Ḕ❲Ứ㥔㥔⋀Ə㓛⤎㘆ⰼ执堳䁊Ḳ㥔⋀䮫˛

䂡ⰼ䏥㷘俼䁊䙫㱡Ə㘆ⰼ执堳㖣㯸㛯㗌䍙憸坴䛊䝊䮈䏭⦻㛪ƋỌ䰈䨘

˥憸䮈㛪˦ 㠟ㇷ䪲⬷堳˥㘆ⰼƋ䁊ƌ㥔执堳傈Ụ㛰昷⅓⏟ Ə˦ḍ㖣㯸㛯

㗌ᾄḔ取㯸⅓⏟㲼⎱䵺㿆惏㠟娔䪲˛㘆ⰼƋ䁊ƌ㖣㯸㛯㗌䵺憸䮈㛪ヶ⎱䵺

㿆惏㠟ƏᾄỨ㥔峣㲼⎱憸坴㩆㦲㲼Ḳ奶Ə孺㘆ⰼ执堳⋾堳Ḣ奨䇆㥔岮䔉⎱岇 Ət

ḍ㭊敲⦲䇆怲Əḍ㖣㯸灠㛯㗌ㇷ䂡⅓敲䙣堳⅓⏟Ə乳㷘俼䁊Ə⅝Ḕ

㕟ἴ㖣⤎⋾Əᾂ㘩䙫憸坴䔉⎱㛴⋀Ə⊐㩆˛

䂡supe怆㘆ⰼ执堳ㇷ䂡ẅ㴙柿ℯ䙫岈䮈䏭执堳Ə㘆ⰼ执堳㖣㯸㛯Ἧ㔝峣㾚䛂执堳

䁊˚㖗supe˚榀㸖˚Ḕ⤎晟Ọ⎱Ⱓ䬰䙫ῲạ憸坴凮岈䮈䏭㥔⋀˛ḍ㖣㯸

㛯㗌柭∐ㇷ䁊䙫㥔⋀䧢弰Ə忶怵㭋柬峣㠯Ə怙㭌⋽㘆ⰼ执堳䁊ῲạ憸坴

⎱岈䮈䏭柿⟆䙫image⋉˛徵憸坴䦸㵑㽕Ə 㛯Ə㘆ⰼƋ䁊ƌ岮㖗凡 rang吓

KƏ䨴㥜怙堳㕟ἴ岮Ə岮两岮㜓栴总㖗凡 rang吓KƏ岮憸䴷㦲㛛䂡䩐˛

㘆ⰼƋ䁊ƌ㥔⋀䮫㶜咲Ứ㥔憸坴˚㵯岢憸坴˚㥔⋀⎱岈䮈䏭䬰Ə⅝Ḕ㛛ỌḔỨ㥔⎱岈

䮈䏭䂡䬽䕌憴滅Ə㜆㜂忶怵≜㖗䔉凮㥔㛴⋀Ə凮㔃恨˥䔆㴢暏凯Ə㘆ⰼ暏堳˦䙫栿

㙖˛ㇷ志峣㠯凮岮Ə㘆ⰼƋ䁊ƌ乳㷘俼䁊Əsupe怆㊺ⰼ㥔⋀䈯Ə凛subᾂ

≜㖗⤁K䙫㕟ἴ䔉凮㛴⋀˛

8

⊀Ʊ⊶㭹䋄lceil

9

⊁Ʊ⊶㭹䋄lceil

ᲾƱ 愾圊䰂䴒濣

䴫主䳢䵘Ɲ

匡ᵉ㗁

䳻䱑䋄

䣻㛶唓

㱆孹悏噋唓

ᶿ㠫⊈㤝㢉愾圊唓

悏噋Ⳁ唓㕦㯿darr宅悏䩟䋄唓

䍮䋁悏噋ᵢ㓑㗋唓

宅壈㕦䂝弉䩟䋄唓杦敨䩟唓

ᵸ⅙宅㵎唓

斄ⶡ䨔䐣㕦ά壈唓

ᶿ㠫悏噋ẟ䩟䋄徦

㱆孹悏噋ẟ䩟䋄徦

孟ᶿ⅁唓

㮓㕦㮓ᶢ弳唓

Ⳁ㕦㯿darr杦敨䩟䋄徦

⪧壆⎟㗁

Ḛ㠫杦敨䩟䋄徦

10

ṳ Ḣ奨惏敧㈧䇆㥔⋀Ɲ

㜓烚娔何两䵺炶ạƏ䦰告Ṳ㛪Ḳ㱡字凮告Ṳ㛪态怵Ḳ䴫主奶䧲⎱㫱䮫䶃䏭㥔⋀ 㜓堳

愴何⇾嘼Ə岇岓柬㥔⋀˛

㵯岢憸坴嘼

岇岓ῲạḲ䛟旃㥔⋀Ə⋬堳态巖択䮈䏭˚岈䮈䏭⎱ῲạ憸坴㥔⋀Ƌ⋬Ὲ䔏˚

ῲạ㈦ⰲ岟㬥˚㱤庱岟㬥˚Ὲ䔏岟㬥䬰ƌḲ㵯岢憸坴䔉敲䙣奶≪˚㛴⋀˚㥔⋀˚㱡

䬽㝷凮堳択Ứ≪䬰㥔⋀ƞḍ娔㛰Ὲ姾⎱执堳ῄ暑惏敧䂡㥔⋀岓ἴƏῲ∌䏭Ὲ姾⎱ῄ暑

Ị䏭㥔⋀ḲỨ≪˚堳択˚䮈䏭⎱娼㠟䬰Ṳ柬˛

Ứ㥔⎱㩆㦲执堳嘼

岇岓⤎❲˚Ḕ❲⎱❲Ứ㥔⎱憸坴㥔ḲῈ䮈䏭⎱㥔⋀ⰼ˛

憸坴嘼㚏㴨⊼岮憸䮈䏭嘼

岇岓⎱岮憸媦凮䮈䏭 ⎱䥏ₜ∟ẋ㗺㥔⋀ 敞㜆傈㫱⎱䟔㜆嬰∟岮⎱䮈䏭凮

場䔆『憸坴ẋ㗺䬰ƞḍ娔嬰∟㥔⋀惏敧Ə岇岓嬰∟凑䇆˚嬰∟択⎱Ị䏭岞峊ₜ∟㥔

⋀Ḳ⟞堳凮䮈䏭˛

䒗䏪憸坴ẋ㗺㛴⋀嘼

ᾂ㲼ạ岮憸䮈䏭˚䔉㖠㠯䬽䕌˚岦㗺坴岮㛴⋀⎱ㆰ㔝⸚㬥峣⎱坴岮㛴⋀䬰㥔⋀˛

岮姱㚏䇆怲䮈䏭嘼

岇岓堳岮姱䳢䵘廆䡓檻奶≪˚娔姯˚䶔孞凮柬㥔⋀Ḳὃ㥔奶≪䮈䏭⎱㠯⟞堳Əὲ⥩㕟ἴ

执堳⑳㛴⋀˚㴨䧲㔠䬰㠯ƞᾂỨ㥔凮ῲạ憸坴䨕执堳㥔⋀嫕婉⎱㛴⋀ƞ䮈䏭˚䶔

孞⎱奶≪堳堳凴⑳⊼䔉Ḳὦ䔏ḍ岇岓䛟旃峣⎱ế㬥Ṳ柬˛

ạsub岮㹷嘼

岇岓堳ạsub奶≪˚ạṲ堳㔦⎱⋆⎱侹凮ạ䙣ⰼ䬰㥔⋀˛

暭䬽䕌㚏ₚ姱嘼

岇岓䪲ḍ䶔孞㜓堳䈳屈˚䔉堳択˚⩹檻㺄态偖乒⎱执堳ⅎ惏㺄态䮈䏭䬰㥔⋀˛

11

梏暑䮈嘼

岇岓Ὲ㥔⋀Ḳ㠟急㔥ₜ㫱䮈䏭⎱㴨⊼⎱ὃ㥔梏暑Ḳ柬䮈ὃ㥔何梏暑䮈敞

ạ岇岓䝊䮈䏭˛

Ứ㥔憸坴Ὲ䮈䏭惏Ɲ岇岓Ứ㥔憸坴Ὲ㥔⋀Ḳ㠟˚急㔥ₜ㫱䮈䏭⎱䛟旃䮈ὃ㥔˛

㵯岢憸坴Ὲ䮈䏭惏Ɲ岇岓㵯岢憸坴Ὲ㥔⋀Ḳ㠟˚急㔥ₜ㫱䮈䏭⎱䛟旃䮈ὃ㥔˛

㚏㴨⊼『梏暑䮈䏭惏Ɲ岇岓何Ḳ䮈䏭Ọ䮈堳Ḳ㚏㴨⊼『梏暑

ὃ㥔梏暑䮈䏭惏Ɲ岇岓何Ḳ䮈䏭Ọ䮈䏭堳Ḳὃ㥔梏暑ƏỌ㜆㛧⤎昷㸂

㖣㥔⋀ὃ㥔怵䧲Ḕ僤䔉䔆䙫⤘˛

岈⋀Ứ≪嘼

岇岓堳㛪姯Ṳ⋀Ḳ嘼䏭⎱㠟˚壤∐㽋Ḕ严㔯塏˚柷䭾䮈˚䧬⋀䔚⎱ᾂ岈⋀

㝷ῥ∐䇆怲䬽䕌Ḳ奶≪䬰Ṳ柬˛

㲼⋀㚏㲼ị恜嘼

岇岓⋬堳Ḳ㲼梏暑䮈䏭˚㲼㕮ờ㠟˚娛娆㠯ờ嘼䏭˚㲼ị恜⎱ⅎ惏prop˚媦㟌憸

坴䊖佑⎱ⷌ⤘偞ガṲ˚㳾按昙prop⎱檻䛟旃Ṳ˛

䨤㠟嘼

岇岓⊐告Ṳ㛪⎱⟞堳䮈䏭晵ⱋ䬍㜓堳Ḳ㗉䬽䕌⑳䇆怲䛕㨀Əḍᾄ㭋梏暑䮈䏭 prop凮

㲢䏭䧲⟞堳䍏䪲娼凮㟌㠟˛

12

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併佬㠣㖖⤎䢐⎱岈憸

併䳷䳫⤎䢐˚岈憸媙䧲䴷㥔

併奦⋾⤎岈憸䏔

䁊⤎䵺㿆䢐䏔

䁊⤎㔦㲢䢐

䁊㔦㲢⤎执堳䳢

䱑㨵濣

䁊⤎岈憸䳢㕀

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䁊⤎憸坴䟻䩝ḔḢỢ

䁊⤎岈憸䳢㈧ḢỢⅣ㈧敞

䁊㛪≜㛪䏭Ṳ敞

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䁊Ứ㥔憴㛪≜㛪≖䏭Ṳ敞

Ḕ⤕⬿㬥ῄ暑⅓⏟嫕婉⦻

岈㔦惏憸坴材㖗䴫⦻

堳㔦晉憸坴㔠材䴫执堳⦻

䪲㲼晉岈䵺䪲㲼ᾪ怙䤥桎

岈䵺䪲㲼䛊䝊偖䛆两暭ạ

䁊憸坴㕀備㛪≖䏭Ṳ敞

溌㳉䉠䑑⅓⏟告Ṳ敞

岈䵺䪲㲼ᾪ怙晉告Ṳ敞Ⅳ晉

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䁊⤎憸坴䟻䩝Ḕ孤Ḣ

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娢Ɲ㜓堳晋䍏䪲告ṲƏ⅝棿告Ṳ䙭䂡㛰㜓堳㕟㙕态傈Ḳ㲼ạ傈㝘㘆ⰼ执堳㈧㴥Ḳ㲼ạỊ塏ạ˛

娢Ɲ㜓堳Ḳ㲼ạ傈㝘㘆ⰼ执堳㛰㜓堳㙕态傈傈Ụ两㕟傈˛

娢Ɲ告

Ṳ晚ẕḅℯ䔆㖣㯸㛯㗌Ⱝ潈忧Ỹ徔Ợ㜓堳告Ṳ偞Ə䔘㜓堳㲼ạ傈㝘㘆ⰼ执堳㔠㴥嶀ẕ㺑ℯ䔆䂡⅝㲼ạỊ塏ạ㒻Ợ㜓堳告Ṳ偞ƏỢ㜆凚㯸㛯㗌㭉˛嶀ẕ㺑ℯ䔆ḍ

䵺㯸㛯㗌䬓Ⱝ䬓Ṅ㬈Ƌ减㘩ƌ告Ṳ㛪壃恟䂡告Ṳ敞˛

娢Ɲthere4

Ợ告Ṳ敞䍲敲㹷⥚㖣㯸㛯㗌Ⱝ潈忧Ỹ徔Ợ㜓堳告Ṳ敞偞Ə䔘㜓堳㲼ạ傈㝘㘆ⰼ执堳㔠㴥溪併⥚䂡⅝㲼ạỊ塏ạ㒻Ợ㜓堳告Ṳ偞ƏỢ㜆凚㯸㛯㗌㭉˛

娢Ɲthere4

Ợ䍏䪲告Ṳ晚⥚㖣㯸㛯㗌徔Ợ㜓堳䍏䪲告Ṳ偞Ə㜓堳ⷙ㖣㛯㗌凰堳Ḳ傈㝘㛪ᾄ㲼壃恟≰⤎ℯ䔆䂡㜓堳㖗Ợ䍏䪲告Ṳ˛

娢Ɲ㜓

堳告Ṳ敞⎱两䵺䏭ㇽ䛟䕝偞⋀俬Ƌ㛧檿䵺䏭ạƌ杅䂡ạ˚ṹ䂡愴ㇽ妑䬰妑ⱓ˛

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告Ṳ㈧⅞㥔䟌嬿⎱䍏䪲『ガ


娢 Ɲ告Ṳ㖣恟Ợthere4ṳ⎱Ợ偞㜆敺䬍志㢄ờ俬Ə媲㖣㢄ờỊ噆㖠䩡㠣ḔĄ9ą˛

Ƌ1ƌ 杅䂡执堳ㇽ⅝旃ᾩỨ㥔Ḳạ˛

Ƌ2ƌ 杅执堳ㇽ⅝旃ᾩỨ㥔Ḳ告Ṳ˚䛊ạƋἭ⥩䂡执堳凮⅝㮴⅓⏟˚⬷⅓⏟ㇽⱓ㮴⅓⏟Ḳ⬷⅓⏟ᾄ嬰⊜ẋ㗺㲼ㇽ䕝㲼ị娔何

Ḳ䍏䪲告Ṳ䛟ṹⅣỢ俬Ə㭋昷ƌ˛

Ƌ3ƌ 杅㜓ạ⎱⅝愴˚㜑ㇷ⬷⥚ㇽỌẽạ侐㛰执堳ⷙ䙣堳傈Ụ两㕟䙥ḲỌㇽ傈there4Ḳ凑䄝ạ傈㝘˛

Ƌ4ƌ 杅Ƌƌ㈧⇾Ḳ䵺䏭ạㇽƋƌ˚Ƌƌ㈧⇾ạḲ愴˚ṳ妑䬰Ọⅎ妑ⱓㇽ妑䬰Ọⅎ䛛䳢堧妑妑ⱓ˛

Ƌ5ƌ 杅䛛㛰执堳ⷙ䙣堳傈Ụ两㕟䙥ḲṻỌ˚傈there4ṻㇽᾄ⅓⏟㲼䬓ṳ㢄䬓柬ㇽ䬓ṳ柬㴥Ị塏ạ㒻Ợ执堳告Ṳㇽ䛊

ạḲ㲼ạ傈㝘Ḳ告Ṳ˚䛊ạㇽạƋἭ⥩䂡执堳凮⅝㮴⅓⏟˚⬷⅓⏟ㇽⱓ㮴⅓⏟Ḳ⬷⅓⏟ᾄ嬰⊜ẋ㗺㲼ㇽ䕝㲼ị

娔何Ḳ䍏䪲告Ṳ䛟ṹⅣỢ俬Ə㭋昷ƌ˛

Ƌ6ƌ 杅凮执堳Ḳ告Ṳ㬈ㇽ㛰塏㱡㫱Ḳ傈Ụ嵬怵㕟ᾩ䔘ạpropḲẽ⅓⏟告Ṳ˚䛊ạㇽạƋἭ⥩䂡执堳凮⅝㮴⅓⏟˚⬷⅓

⏟ㇽⱓ㮴⅓⏟Ḳ⬷⅓⏟ᾄ嬰⊜ẋ㗺㲼ㇽ䕝㲼ị娔何Ḳ䍏䪲告Ṳ䛟ṹⅣỢ俬Ə㭋昷ƌ˛

Ƌ7ƌ 杅凮执堳Ḳ告Ṳ敞˚两䵺䏭ㇽ䛟䕝偞⋀俬ṹ䂡ạㇽ愴Ḳẽ⅓⏟ㇽ㩆㦲Ḳ告ṲƋ䏭Ṳƌ˚䛊ạƋ䛊ṲƌㇽạƋἭ⥩䂡

执堳凮⅝㮴⅓⏟˚⬷⅓⏟ㇽⱓ㮴⅓⏟Ḳ⬷⅓⏟ᾄ嬰⊜ẋ㗺㲼ㇽ䕝㲼ị娔何Ḳ䍏䪲告Ṳ䛟ṹⅣỢ俬Ə㭋昷ƌ˛

Ƌ8ƌ 杅凮执堳㛰岈⋀ㇽ㥔⋀ὭḲ䉠⅓⏟ㇽ㩆㦲Ḳ告ṲƋ䏭Ṳƌ˚䛊ạƋ䛊Ṳƌ˚䵺䏭ạㇽ傈䙥ḲṻỌ傈㝘ƋἭ䉠⅓⏟

ㇽ㩆㦲⥩㛰执堳ⷙ䙣堳傈Ụ两㕟䙥ḲṳỌƏ㜑嵬怵䙥ḲṻƏ䂡执堳凮⅝㮴⅓⏟˚⬷⅓⏟ㇽⱓ㮴⅓⏟Ḳ⬷⅓⏟

ᾄ嬰⊜ẋ㗺㲼ㇽ䕝㲼ị娔何Ḳ䍏䪲告Ṳ䛟ṹⅣỢ俬Ə㭋昷ƌ˛

Ƌ9ƌ 杅䂡执堳ㇽ旃ᾩỨ㥔ᾂ姯ㇽ㛧徸ṳ慓䴖姯憸栴㜑急㖗凡ṻ吓KḲ⋀˚㲼⋀˚岈⋀˚㛪姯䬰䛟旃㛴⋀Ḳ㥔ạ

˚䍏岮˚⤌˚⅓⏟ㇽ㩆㦲ḲỨ㥔Ḣ˚⤌ạ˚告ṲƋ䏭Ṳƌ˚䛊ạƋ䛊Ṳƌ˚䵺䏭ạ⎱⅝愴˛Ἥᾄ嬰∟ẋ㗺㲼ㇽỨ㥔

峣㲼䛟旃㲼ịⱌ堳偞㫱Ḳ喑岮慓⦻㛪˚⅓敲㔝峣字⦻㛪ㇽ峣䉠∌⦻㛪ㇷƏ㭋昷˛

Ƌ10ƌ 㜑凮⅝ẽ告Ṳ敺⅞㛰愴ㇽṳ妑䬰ỌⅎḲ妑ⱓ旃ᾩ˛

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告Ṳ敞嶀ẕ㺑 9 9 9 9 9 9 9 9 -

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告Ṳ 桎䥌 9 9 9 9 9 - 9 9 -

告Ṳ 溪併 9 9 9 9 9 - 9 9 -

告Ṳ 佬䶟㛰 9 9 9 9 9 9 9 9 9 9 -

告Ṳ ⟡ 9 9 9 9 9 9 9 9 9 9 -

䍏䪲告Ṳ㤱⬷㱆 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9

䍏䪲告Ṳ溪总㥔 9 9 9 9 9 9 9 9 9 9 9 9 9 9

䍏䪲告Ṳ≰⤎ - - 9 9 9 9 9 9 9 9 9 9 9 9 9

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22

Ƌ11ƌ 㜑㛰⅓⏟㲼䬓㢄㬥ガṲḲ˛

Ƌ12ƌ 㜑㛰⅓⏟㲼䬓ṳ㢄奶Ọ㔦˚㲼ạㇽ⅝Ị塏ạ䕝恟˛

23

ṳ两䵺䏭˚≖两䵺䏭˚䏭˚惏敧⎱㔖㩆㦲Ḣ䮈岮㖀Ɲ

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䁊⤎㛪姯凮䮈䏭㱡䬽䴫䢐

劘㖾Ƌ䁊ƌ执堳㛪姯敞

--

--

-

24

伵䣯

䬋

⋋

⃣

弶⫯

ᶹ㒣㗝

㗇佟ᶻ

怋ἴƱ㗨ノ

ⴲ⨎㗇

佟ᶻ

䏦ᶔᵸ⋋乧

㗇佟ᶻ

堿䱑濑⨶濒㨵

䖬ℋ

rsaquoᶹ

ᶔ

⊶

ᴉ伵


撚Ẁᴉ䱑䋄ᵸ

ὗ壹

壹

佟㐶

佟

㪒䉅

佟㐶

佟

㪒䉅

佟㐶

佟

㪒䉅

伵

䣯

⋋

撚

Ẁ

梏暑䮈敞Ⅳ梏暑

䮈嘼Ḣ䮈

Ḕ取㯸

唈㝘㝥

䔞

ự∐嫥⤎榀㪚㠈㛪姯䢐

㸊Ƌ䁊ƌ执堳ῈἴḢ䮈

--

--

-

㚏㴨⊼『梏暑䮈

䏭惏Ḣ䮈

Ḕ取㯸

晚ℰ

䔞

廻Ẩ⤎暂岦㗺

㘆ⰼƋ䁊ƌ㴨⊼『⎱ὃ㥔梏暑䮈䏭惏Ḣ䮈

--

--

-

ὃ㥔梏暑䮈䏭惏Ḣ䮈

榀㸖

㝾permil峉

䔞

榀㸖䏭ⷌ⤎㛪姯

㘆ⰼƋ䁊ƌ䨤㠟嘼Ḣ䮈Ƌ两䨤㠟ƌ

--

--

-

岮姱㚏䇆怲䮈䏭嘼䇆

怲惏Ḣ䮈

Ḕ取㯸

≰〈

⥚

卞取⤎Ứ㥔䮈䏭䢐

㸊Ƌ䁊ƌ执堳Ứ㥔㚏憸坴ὃ㥔惏Ḣ䮈

--

--

-

憸坴嘼堳択惏Ḣ

䮈Ị

䏭岞峊ₜ

∟㥔⋀Ḣ䮈

Ḕ取㯸

晚湾榀

⥚

㗵似⤎Ứ㥔䮈䏭䢐

㘆ⰼƋ䁊ƌ憸坴嘼岮㷘≖两墨

--

--

-

Ὲ姾惏Ḣ䮈

Ḕ取㯸

晚咺⩞

⥚

㷈㱆⤎䵺㿆䳢

㾚䛂䁊ὃ㥔㛴⋀Ḣ䮈

--

--

-

暂憸坴㥔⋀堳Ḣ

䮈

Ḕ取㯸

承⋄

䔞

岺ⷅ䬓悊⤎Ứ㥔䮈䏭䢐


--

--

-

嬰∟㥔⋀Ḣ䮈

Ḕ取㯸

㕮

䔞

凡䁊䦸⤎䮈䏭䢐

㸊Ƌ䁊ƌ执堳憸坴嘼≖两䵺䏭

--

--

-

嬰∟㥔⋀惏敧ḲⅣ䇆

嬰∟択㥔⋀Ḣ䮈

Ḕ取㯸

㕮䍰

⥚

勘曞⤎岈⋀㲼奶⎱梏暑䮈䏭䢐

⋾悍㥔执堳岮憸䮈䏭嘼岮㷘䏭

--

--

-

嬰∟㥔⋀惏敧䨤㠟Ḣ

䮈

Ḕ取㯸

晚㗔

䔞

䁊⤎岈⋀憸坴䢐

㸊Ƌ䁊ƌ执堳䨤㠟䵺䏭

- -

- -

-

嬰∟㥔⋀惏敧㲼ị恜

Ḣ䮈

Ḕ取㯸

徃暬吘

⥚

supeⷅ⤎㲼䢐

ḔῈ姾㥔执堳㲼恜Ṳ⋀惏夫䏭

--

--

-

25

伵䣯

䬋

⋋

⃣

弶⫯

ᶹ㒣㗝

㗇佟ᶻ

怋ἴƱ㗨ノ

ⴲ⨎㗇

佟ᶻ

䏦ᶔᵸ⋋乧

㗇佟ᶻ

堿䱑濑⨶濒㨵

䖬ℋ

rsaquoᶹ

ᶔ

⊶

ᴉ伵


撚Ẁᴉ䱑䋄ᵸ

ὗ壹

壹

佟㐶

佟

㪒䉅佟㐶佟

㪒䉅

佟㐶

佟

㪒䉅

伵

䣯

⋋

撚

Ẁ

Ὲ䔏㥔⋀岓惏敧

Ḣ䮈

Ḕ取㯸

㝾例

䔞

㖖奦ℙ⤎䢐

劘㖾Ƌ䁊ƌ执堳Ὲ䔏惏敧岮㷘≖两墨

--

--

-

昙prop㳾按⎱㒱岮

岓Ḣ䮈

Ḕ取㯸

䑅䎙

⥚

⧨㖖徂⤎愹䮈䏭䢐

㘆ⰼƋ䁊ƌ㵯岢憸坴嘼岮㷘≖两墨

--

--

-

⅓⏟㲢䏭敞㚏告Ṳ㛪

䦿㛟

Ḕ取㯸

㴑⬷㘶

䔞

㳉柺⤎执堳憸坴㲼䢐

㘆ⰼƋ䁊ƌ两䵺䏭䦿㛟惏Ḣ䮈

--

--

-

ẓ㝘巖堳䵺䏭

Ḕ取㯸

䒱デ

⥚

併䳷䳫ⷅ䪲⤎Ứ㥔䮈䏭䢐

㳗取执堳岮㷘䵺䏭

--

--

-

⭄堳䵺䏭

Ḕ取㯸

≰湾䦲

⥚

㷈㱆⤎Ứ㥔䮈䏭䢐

㘆ⰼƋ䁊ƌⅎ㸽堳㥔⋀䵺䏭

--

--

-

ⅎ㸽堳䵺䏭

Ḕ取㯸

㡨㰟劚

⥚

嵒䈥⤎岈⋀䮈䏭䢐

㘆ⰼƋ䁊ƌ㝥ⱘ堳㥔⋀Ḣ䮈

--

--

-

㕍堳䵺䏭

Ḕ取㯸

峛ℰ

䔞

倽䳫俗䦸⤎ⷌ㥔ⷌ䧲凮䮈䏭䦸

劘㖾Ƌ䁊ƌ执堳䵺䏭

--

--

-

Ḕ堳䵺䏭

Ḕ取㯸

㝾㮺䏮

⥚

权⤎暂岦㗺䳢

㖗执堳䏭岈㥔⋀Ḣ䮈

--

--

-

嗭㴙堳䵺䏭

Ḕ取㯸

㘔㫱

䔞

䪲㷬取⤎姯憶岈⋀憸坴

尷Ƌ䁊ƌ执堳堳䵺䏭

--

--

-

⤎堳䵺䏭

Ḕ取㯸

愎㰟㗳

䔞

㨲㸖⤎Ứ㥔䮈䏭䢐

㘆ⰼƋ䁊ƌ取ⱘ堳㥔⋀䵺䏭

--

--

-

Ὲ侐堳䵺䏭

Ḕ取㯸

㖠⬷

䔞

Ḕ⤕⤎岈⋀憸坴䳢䮈䏭䢐

㘆ⰼƋ䁊ƌ⭄堳㥔⋀䵺䏭

--

--

-

⤐㮴堳䵺䏭

Ḕ取㯸

唈总

䔞

㔦㲢⤎䵺䇆䮈䏭䢐

㘆ⰼƋ䁊ƌ⤎堳㥔⋀䵺䏭

--

--

-

26

伵䣯

䬋

⋋

⃣

弶⫯

ᶹ㒣㗝

㗇佟ᶻ

怋ἴƱ㗨ノ

ⴲ⨎㗇

佟ᶻ

䏦ᶔᵸ⋋乧

㗇佟ᶻ

堿䱑濑⨶濒㨵

䖬ℋ

rsaquoᶹ

ᶔ

⊶

ᴉ伵


撚Ẁᴉ䱑䋄ᵸ

ὗ壹

壹

佟㐶

佟

㪒䉅

佟㐶

佟

㪒䉅

佟㐶

佟

㪒䉅

伵

䣯

⋋

撚

Ẁ

Ḕ⑳堳䵺䏭

Ḕ取㯸

㴑㕮权

⥚

怉䔙⤎暂岦㗺䳢

⋾悍㥔执堳堳䵺䏭

--

--

-

㝦㨲堳䵺䏭

Ḕ取㯸

㝾䦧䎙

⥚

䪲⋾⤎暂岈⋀憸坴䢐

⋾悍㥔执堳岮㷘䵺䏭

--

--

-

取ⱘ堳䵺䏭

Ḕ取㯸

㛥洢

䔞

㝘⤎㛪姯

㖗执堳态巖䇆怲Ṳ㥔嘼䵺䏭

--

--

-

㖗危堳䵺䏭

Ḕ取㯸

嬄权ㅎ

⥚

Ḕ㕮⋽⤎暂岦㗺䳢

㸊Ƌ䁊ƌ执堳㥔⋀Ḣ䮈

--

--

-

⤎堳䵺䏭

Ḕ取㯸

㝾⩞⩞

⥚

凛䏭堺晉昫娔怙㠈Ứ㥔䮈䏭䳢

㘆ⰼƋ䁊ƌ㰷㭉堳㥔⋀䵺䏭

--

--

-

憴堳䵺䏭

Ḕ取㯸

㴑婐⩞

⥚

Ḕ⤕⤎Ứ㥔䮈䏭䢐

㘆ⰼƋ䁊ƌ㝥Ẩ堳㥔⋀Ḣ䮈

--

--

-

㖗堳䵺䏭

Ḕ取㯸

嬄⬷

䔞

㖗⤎䤥㛪䏭

恇㝘㥔执堳堳䵺䏭

--

--

-

㰷㭉堳䵺䏭

Ḕ取㯸

僈䛂咹

䔞

巷⤎Ứ㥔䮈䏭䳢

㘆ⰼƋ䁊ƌḔ堳㥔⋀䵺䏭

- -

- -

-

㠪堳䵺䏭

Ḕ取㯸

㝾䎒

⥚

K㙡⤎岈⋀憸坴

㘆ⰼƋ䁊ƌḔ㭊堳㥔⋀䵺䏭

- -

- -

-

㖗䫠堳䵺䏭

Ḕ取㯸

permilℰ

䔞

㝘⤎䵺㿆

K⤎执堳㖗䫠堳㥔⋀Ḣ䮈

- -

- -

-

㝘㖗䫠堳䵺䏭

Ḕ取㯸

娘備䥵

䔞

㝘㵞⤎䵺㿆

㘆ⰼƋ䁊ƌḔ堳䵺䏭

- -

- -

-

⤑堳䵺䏭

Ḕ取㯸

愔䑅㮬

䔞

₸ℰ堺晉Ứ㥔䮈䏭

㘆ⰼƋ䁊ƌ⤑堳㥔⋀Ḣ䮈

--

--

-

27

伵䣯

䬋

⋋

⃣

弶⫯

ᶹ㒣㗝

㗇佟ᶻ

怋ἴƱ㗨ノ

ⴲ⨎㗇

佟ᶻ

䏦ᶔᵸ⋋乧

㗇佟ᶻ

堿䱑濑⨶濒㨵

䖬ℋ

rsaquoᶹ

ᶔ

⊶

ᴉ伵


撚Ẁᴉ䱑䋄ᵸ

ὗ壹

壹

佟㐶

佟

㪒䉅

佟㐶

佟

㪒䉅

佟㐶

佟

㪒䉅

伵

䣯

⋋

撚

Ẁ

Ḕ㸖堳䵺䏭

Ḕ取㯸

㡨

⥚

㝘㵞⤎䤥㛪䳢䤥㛪

㘆ⰼƋ䁊ƌ㯸㫱堳㥔⋀䵺䏭

--

--

-

Ḕ㷬堳䵺䏭

Ḕ取㯸

≰怺

䔞

Ḕ凯⤎䮈䏭䢐

㘆ⰼƋ䁊ƌ堳㥔⋀惏⟆䵺䏭

--

--

-

㯸㫱堳䵺䏭

Ḕ取㯸

柭岦

䔞

㝘㵞⤎Ứ㥔䮈䏭

㘆ⰼƋ䁊ƌ尷堳㥔⋀䵺䏭

--

--

-

尷堳䵺䏭

Ḕ取㯸

㝾㯸揿

䔞

ⶡ㝘㥔䦸㠈㛪姯䵘姯䦸


--

--

-

卹ℰ堳䵺䏭

Ḕ取㯸

唈㗵

䔞

承ₚ⤎Ứ㥔䮈䏭

㘆ⰼƋ䁊ƌ滵堳䵺䏭

--

--

-

檿暫堳䵺䏭

Ḕ取㯸

≰怟曖

⥚

㷈㱆⤎岈⋀憸坴

㘆ⰼƋ䁊ƌ䶔堳㥔⋀䵺䏭

--

--

-

劺暬堳䵺䏭

Ḕ取㯸

Ἴ⧜⫬

⥚

Ḕ㕮⋽⤎岈⋀憸坴

㘆ⰼƋ䁊ƌ㥇㡺堳㥔⋀䵺䏭

--

--

-

there4掕堳䵺䏭

Ḕ取㯸

㝾ₚⳮ

䔞

䪲凡䁊⤎䟻䩝㈧䢐

㘆ⰼƋ䁊ƌ劺暬堳㥔⋀䵺䏭

--

--

-

ⷍ䇆堳䵺䏭

Ḕ取㯸

〹

䔞

㷈㱆⤎岈⋀憸坴䳢

㘆ⰼƋ䁊ƌ卹ℰ堳㥔⋀䵺䏭

--

--

-

㝘堳䵺䏭

Ḕ取㯸

吰Ⳗ剖

䔞

䪲⤎䵺䇆凮䮈䏭䳢䦸䮈䏭䢐

K⤎执堳堳㥔⋀Ḣ䮈

--

--

-

堳䵺䏭

Ḕ取㯸

峛䙮Ἰ

䔞

侐⤎Ứ㥔䮈䏭

劘㖾Ƌ䁊ƌ执堳堳䵺䏭

--

--

-

㝥Ẩ堳䵺䏭

Ḕ取㯸

㜵喗

⥚

Ḕ㭊⤎岈⋀憸坴

㾚䛂䁊堳䵺䏭

--

--

-

28

伵䣯

䬋

⋋

⃣

弶⫯

ᶹ㒣㗝

㗇佟ᶻ

怋ἴƱ㗨ノ

ⴲ⨎㗇

佟ᶻ

䏦ᶔᵸ⋋乧

㗇佟ᶻ

堿䱑濑⨶濒㨵

䖬ℋ

rsaquoᶹ

ᶔ

⊶

ᴉ伵


撚Ẁᴉ䱑䋄ᵸ

ὗ壹

壹

佟㐶

佟

㪒䉅

佟㐶

佟

㪒䉅

佟㐶

佟

㪒䉅

伵

䣯

⋋

撚

Ẁ

㝥㱆堳䵺䏭

Ḕ取㯸

㜵ㄯ㗧

⥚

併‒㮻ẅ⤎䵘姯䢐

㘆ⰼƋ䁊ƌḔⱘ堳㥔⋀䵺䏭

--

--

-

㝥ⱘ堳䵺䏭

Ḕ取㯸

㝾ᾱⷅ

䔞

承ₚ⤎ῄ暑

⋾悍㥔执堳䇆怲䝊

--

--

-

Ḕ㭊堳䵺䏭

Ḕ取㯸

晚permil

䔞

㔦㲢⤎䵺㿆

㘆ⰼƋ䁊ƌ憴堳㥔⋀䵺䏭

--

--

-

䶔堳䵺䏭

Ḕ取㯸

啔泚㯸

⥚

檿暫䬓䦸⤎岈⋀䮈䏭䢐


- -

- -

-

Ḕ凯堳䵺䏭

Ḕ取㯸

㵩䲥姺

䔞

Ḕ⤎Ứ㥔䮈䏭

㘆ⰼƋ䁊ƌ堳㥔⋀䵺䏭

--

--

-

㖗䫀堳䵺䏭

Ḕ取㯸

㛥ㅝpermil

䔞

㖗⤎岮姱ₚ㒔䢐

尷Ƌ䁊ƌ执堳㥔⋀䏭

- -

- -

-

ⅎ㸽䦸堳䵺

䏭

Ḕ取㯸

Ḕ

䔞

廻Ẩ⤎䵺㿆䳢

㘆ⰼƋ䁊ƌ岮姱㚏䇆怲䮈䏭嘼≖两墨

- -

- -

-

娢

Ɲ㜓堳两䵺䏭ㇽ䛟䕝偞⋀俬Ƌ㛧檿䵺䏭ạƌ凮告Ṳ敞杅䂡ạˣṹ䂡愴ㇽ妑䬰妑ⱓ˛

凑㜓堳ㇽ旃ᾩỨ㥔忧ỸḲ告Ṳ敞⎱两䵺䏭Ợ桎岮姱Ɲ䄈˛

29

Ʊ㫏ⴲⵤ䰤ᶖ匡ṲƋ⋩䈦潛告Ṳƌ Ʊ䳻䱑䋄Ʊℭ䳻䱑䋄⊈朥ᴉ怪悏濣

刓告Ṳ⎱䍏䪲告ṲḲ慓憸Ɲ

⟡㹽㗌Ɲ㛯㗌

ἴƝ㖗凡ỆK

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䍏䪲告Ṳ

≰⤎娢

there4䍏䪲告Ṳ晚

娢

媲㔿㗵䍏䪲告Ṳ慓憸䵍ế㔦䬽˚prop˚㨀㹽⎱䴷㦲Əḍᾄ㈧岇㒻Ḳ偞岓˚梏暑˚㘩敺䬰䴇㔿㗵凮䵍ế慓憸㕟栴Ḳ旃偖『Ɲ㜓堳ᾩᾄ㓁㘆ⰼ暭˥5DWLR7RDVH3D˦

姯䭾奶䮫Ə∌俪憶姯⦻㛪Ḣ⎱

⦻㈧岇㒻Ḳ偞岓˚梏暑˚㘩敺䬰䴇Ọ⎱⎪愳暭˚旃ᾩỨ㥔⎱Ḣ奨执堳Ḳ䵍ế㨀㹽㓁Ọ㱡䍏䪲告Ṳ慓憸ḍ傈㝘㛪㠟˛

晋塏朙Ə㛧徸⅓⏟告Ṳ䂡岈⋀ⅎ㈧㛰⅓⏟ᾂ㛴⋀Ƌ⥩㒻Ợ杅ⱓⷌḲ桎䬰ƌ柿Ḳ慓憸Ɲ恐䔏˛

30

慓憸䴁巄塏Ƌ

㜓塏㈧朙慓憸ⅎ凮㈧䧬㲼Ḳ㈧㥩Ə㔬㜓塏䛕䙫ᾩὃ䂡岮姱朙Ḳ䔏Əὃ媙䧬Ḳ䔏˛

䰤ᶖ㗪圊⋂ỉ匡ᵉ怪悏䯘岛

告Ṳ⦺

ℋ曃怪悏䳻朋$amp

ℋ曃怪悏䳻朋$amp()

㗪圊濑壹濒

孟lceilヾ㗇⊶濑壹濒

+㗪圊濑壹濒


Ḍ㑺

晚

恐䔏

濑⋩濒瀧濑⋩濒

嶀ẕ㺑㤱⬷㱆溪总㥔≰⤎

恐䔏






佬䶟㛰⟡

ᶵ怑䓐


㝾摒ⷄ

恐䔏


ᶣ

䳻壆

娢Ɲ

㜓堳晋䍏䪲告ṲƏ⅝棿告Ṳ䙭䂡㜓堳㕟㙕态傈Ḳ㲼ạ傈㝘㘆ⰼ执堳㈧㴥Ḳ㲼ạỊ塏ạ˛

娢Ɲ

告Ṳ溪併㖣㛯㗌ⰘỢ㜓堳告Ṳ偞˛

娢Ɲ

there4Ợ告Ṳ敞䍲敲㹷⥚㖣㯸㛯㗌Ⱝ潈忧Ỹ徔Ợ㜓堳告Ṳ敞偞˛

娢Ɲ

䍏䪲告Ṳ晚㖣㛯㗌徔Ợ㜓堳䍏䪲告ṲƏ䍏䪲告Ṳ≰⤎㖣㛯㗌ⰘỢ䂡㜓堳㖗Ợ䍏䪲告Ṳ偞˛

娢Ɲ

ᾩ㛧徸告ṲḲ慓Ƌ⋬告Ṳ喑岮˚偞⋀supe䵍˚曉偞憸˚䨕䌵憸˚䌵⋜憸䬰䬰ƌ

娢Ɲ

ᾩ⇾㛧徸there4䵺告Ṳ㛪态怵㓓字愴Ḳ告Ṳ慓sdot憸栴˛

娢Ɲ

ᾩ㛧徸告ṲḲ䛟旃㥔⋀⟞堳岢䔏Ƌ⋬庱榓岢˚䉠㔖岢˚䨕㴌岣˚凴˚愴庱䬰䉐ᾂ䬰䬰˛⥩ᾂ㈦ⰲ˚㱤庱⎱⅝ẽẋ态ⷌ⅞ㇽⱓῲạḲ㔖㘩Əㆰ朙㈧ᾂ岮䔉Ḳ『峑⎱ㇷ㜓˚暂ㇽ

⅓⃠娔䭾Ḳ䧆憸˚㲠岮⎱⅝ẽ䵍ế˛

娢Ɲ

ᾩ㛧徸告ṲⅣỢⷌƋ⋬ⅣỢ两䵺䏭˚≖两䵺䏭˚⅝ẽ䵺䏭ạ⎱ⷌƌ㈧柿⋬喑岮˚偞⋀supe䵍˚曉偞憸˚䨕䌵憸˚䌵⋜憸˚庱榓岢˚䉠㔖岢˚䨕㴌岣˚凴˚愴庱䬰䉐ᾂ䬰䬰˛⥩ᾂ㈦

ⰲ˚㱤庱⎱⅝ẽẋ态ⷌ⅞ㇽⱓῲạḲ㔖㘩Əㆰ朙㈧ᾂ岮䔉Ḳ『峑⎱ㇷ㜓˚暂ㇽ⅓⃠娔䭾Ḳ䧆憸˚㲠岮⎱⅝ẽ䵍ế˛㔖ế告ṲⅣỢⷌḲ庱异䧆憸⎱凴䧆憸䂡ỆKƏ⏟㩆喑慓

䂡ỆK䬰姯塏慓憸˛ᾄ)56˥傈Ụ⟡䣵䵍ế˦婴⇾Ḳ喑岮岢䔏Ə⋬ⷌ婴傈㫱ㅸ嬰˚昷propⷌ㫱∐㖗傈⎱⎪凮䏥憸岮婴峣傈Ụ䬰Əẍㆰ姯慓憸˛

娢Ɲᾩ㛧徸告ṲⅣỢⷌƋ⋬ⅣỢ两䵺䏭˚≖两䵺䏭˚⅝ẽ䵺䏭ạ⎱ⷌƌⷌ慓sdotƋ傈䥏⎱䏥憸ƌ俬Əㆰ朙㛧徸䵺告Ṳ㛪态怵㓓字㴥ⷌ慓sdot憸栴˛

娢Ɲㆰ朙ⅎ㈧㛰⅓⏟Ƌ⋬㜓堳ƌ䵍ế㜓堳告Ṳ柬慓憸Ḳ两栴˛

31

娢Ɲ㜓堳䵍ế㮶ἴ告Ṳ柬慓憸两栴Ə㖣㈧㭟ⱓ䴁巄Ḕ朙告Ṳ⦺Ə㜑柿ỢἼ慓憸Ḳ告Ṳ∮䕌˛

娢Ɲㆰ瀊ⅎ㈧㛰⅓⏟Ƌ⋬㜓烚ƌ䵍ế㜓烚㮶ἴ告Ṳ柬慓濜两栴Ə㖣㈧㭟ⱓ䴁巄Ḕ瀊告Ṳ⦺Ə㜑柿ỢἼ慓憸Ḳ告Ṳ∮䕌˛

娢Ɲ

䧬䳻䚱ᾩ㛧徸ῲ檻ㇽῲ∌岈⋀Ḳ䧬䳻䚱˛

娢Ɲ

㜓㫫ㆰ㗵䢡⇾执堳告Ṳ柿Ὥ凑⬷⅓⏟Ọ弰岮Ṳ㥔ㇽ㮴⅓⏟䛟旃慓憸憸栴Ƌ

勌䄈俬Ə∮媲˥䄈

ƌ˦

执堳告Ṳ⥩㛰柿Ὥ凑Əㆰ执堳告Ṳ㖣⬷⅓⏟Ọ弰岮Ṳ㥔ㇽ㮴⅓⏟㈧柿Ḳ廟憸Ə慓憸䴁巄塏Ḳ㫫

Əḍ㫫ἴ䨘㔠䂡˥㮴⅓⏟⎱㈧㛰弰岮Ṳ㥔˦

慓憸ᾩ㜓堳告Ṳ㒻Ợ⬷⅓⏟Ọ弰岮Ṳ㥔ㇽ㮴⅓⏟Ḳ告Ṳ˚䛊ạㇽ䵺䏭ạ䬰庒㈧柿Ḳ慓˚慓sdotƋ⋬ⷌ˚告Ṳ⎱䛊ạ慓sdotƌ⎱㥔⋀⟞堳岢䔏䬰䛟旃慓憸˛

32

ṳ两䵺䏭˚≖两䵺䏭⎱桎Ḳ慓憸ƝƋ

Ọ䂡˩两愴䴁巄朙⦺㖠朙˪塏㠣ƌ

⟡㹽㗌Ɲ㛯㗌

ἴƝ㖗凡ỆK

伵䣯

⋋

壹

周宅$

壹

庾伵庾悏

䈌悏⊈䄷孹䨇

amp壹

⎟ⲣ怪悏朋

壹

$ƱƱamp⊈䨇曃䳻朋

infin䣃䯒䖈ᴉ㪒ṉ濎

壹

曖⊔Ṅ储⨎⊶

ᶣ⟔帇ㅓ宅ᵉ㠫

ピ㪋⊶怪悏

壹

㗪圊

孟

lceilヾ

㗇⊶

壹

㗪圊

孟

lceilヾ

㗇⊶

壹

㗪圊

孟

lceilヾ

㗇⊶

壹

㗪圊

孟lceil

ヾ㗇⊶壹

㗪圊

孟

lceilヾ

㗇⊶壹

䊼悏

悏朋

佟䠦

悏朋

䊼悏

悏朋

佟䠦

悏朋

两䵺䏭

㝾摒ⷄ

恐䔏

恐䔏

恐䔏

恐䔏

恐䔏

恐䔏

䄈

≖两䵺䏭

㤱䜆䏭

≖两䵺䏭

佬䶟㛰

≖两䵺䏭

㝾permil峉娢

≖两䵺䏭

晚ↇ娢

≖两䵺䏭

⟡

≖两䵺䏭

溪䆼㞄

ƍ瀹瀓偞䨘Ə偞ἴ䛟䕝㖣两䵺炶˚≖两䵺炶俬Ƌ炇⥩Ɲ两墨˚⟞烚敞˚两䛊ġ䬰䬰ƌƏㆰṯ瀊˛

33

慓憸䴁巄塏

䰤ᶖ㗪圊䳻䱑䋄⊈⋂ỉℭ䳻䱑䋄怪悏䯘岛䳻䱑䋄⊈ℭ䳻䱑䋄⋋

㗪圊濑壹濒孟lceilヾ㗇⊶ (濑壹濒

Ḍ㑺晚ↇ 恐䔏




濑⋩濒瀧濑⋩濒㝾permil峉恐䔏

濑⋩濒瀧濑⋩濒溪䆼㞄恐䔏

濑⋩濒瀧濑⋩濒㤱䜆䏭佬䶟㛰 ⟡ 恐䔏

濑⋩濒瀧濑⋩濒㝾摒ⷄ 恐䔏


ᶣ

䳻壆

娢 Ɲ 两䵺䏭⎱≖两䵺䏭⦺ㆰ∌⇾䤡ƏỌ两㖠朙柬䵍ế憸栴˛

娢 Ɲ ≖两䵺䏭㝾permil峉㖣㛯㗌Ợ㜓堳䨤㠟嘼Ḣ䮈˛

娢 Ɲ ≖两䵺䏭晚ↇ㖣㛯㗌ⰘỢ㜓堳䨤㠟嘼Ḣ䮈˛

娢 Ɲ ᾩ⇾㛧徸两䵺䏭⎱≖两䵺䏭喑岮˚偞⋀supe䵍˚曉偞憸˛

娢 Ɲ ᾩ⇾㛧徸两䵺䏭⎱≖两䵺䏭䨕䌵憸˚䌵⋜憸˚庱榓岢˚䉠㔖岢˚䨕㴌岣˚凴˚愴庱䬰䉐ᾂ⎱⅝

ẽ慓憸栴˛⥩ᾂ㈦ⰲ˚㱤庱⎱⅝ẽẋ态ⷌ⅞ㇽⱓῲạḲ㔖㘩Əㆰ朙㈧ᾂ岮䔉Ḳ『峑⎱ㇷ㜓˚暂ㇽ

⅓⃠娔䭾Ḳ䧆憸˚㲠岮⎱⅝ẽ䵍ế˛ 㔖ế两䵺䏭⎱≖两䵺䏭Ḳ庱异䧆憸⎱凴䧆憸䂡 Ệ

KƏ⏟㩆喑慓䂡 ỆK䬰姯塏慓憸˛ᾄ )56˥ 傈Ụ⟡䣵䵍ế˦婴⇾Ḳ喑岮岢䔏Ə⋬ⷌ婴

傈㫱ㅸ嬰˚昷propⷌ㫱∐㖗傈⎱⎪凮䏥憸岮婴峣傈Ụ䬰Əẍㆰ姯慓憸˛

娢Ɲ ᾩ⇾㛧徸䵺告Ṳ㛪态怵㓓字㴥两䵺䏭⎱≖两䵺䏭Ḳⷌ慓sdot憸栴Ƌ傈䥏⎱䏥憸Ə灆䄈㲼柷俬∮

⎢灠暂㴥濜栴㮻炇姯䭾ằ灠㓓字㴥濜栴Əḍㆰ灮昫塏˥㴥ⷌ慓sdotḲ䵺炶ạ⦺⎱㴥ガ˦

娢ƘƝ ㆰ朙ⅎ㈧㛰⅓⏟Ƌ⋬㜓堳ƌ䵍ế㜓堳两䵺䏭⎱≖两䵺䏭柬慓憸Ḳ两栴˛

娢ƙƝ 㜓堳䵍ế㮶ἴ两䵺䏭⎱≖两䵺䏭柬慓憸两栴Ə㖣㈧㭟ⱓ䴁巄Ḕ朙两䵺䏭⎱≖两䵺䏭⦺˛

娢ƚƝ ㆰ朙ⅎ㈧㛰⅓⏟Ƌ⋬㜓堳ƌ䵍ế㜓堳㮶ἴ两䵺䏭⎱≖两䵺䏭柬慓憸两栴Ə㖣㈧㭟ⱓ䴁巄Ḕ朙

两䵺䏭⎱≖两䵺䏭⦺˛

娢ƛƝ 䧬䳻䚱ᾩ㛧徸ῲ檻ㇽῲ∌岈⋀Ḳ䧬䳻䚱˛

娢ƜƝ 㜓㫫ㆰ㗵䢡⇾执堳两䵺䏭⎱≖两䵺䏭柿Ὥ凑⬷⅓⏟Ọ弰岮Ṳ㥔ㇽ㮴⅓⏟䛟旃慓憸憸栴Ƌ勌䄈媲

䄈ƌ

执堳两䵺䏭⎱≖两䵺䏭⥩㛰柿Ὥ凑⬷⅓⏟Ọ弰岮Ṳ㥔ㇽ㮴⅓⏟䛟旃慓憸俬Əㆰ执堳两䵺䏭⎱≖两䵺

䏭㖣⬷⅓⏟Ọ弰岮Ṳ㥔ㇽ㮴⅓⏟㈧柿Ḳ慓憸Ə慓憸䴁巄塏Ƌ(ƌ㫫˥岈⋀ⅎ㈧㛰⅓⏟ Ə˦ḍ

㫫ἴ䨘㔠䂡˥㈧㛰弰岮Ṳ㥔˦

慓憸ᾩ㜓堳两䵺䏭⎱≖两䵺䏭㒻Ợ⬷⅓⏟Ọ弰岮Ṳ㥔ㇽ㮴⅓⏟Ḳ告Ṳ˚䛊ạㇽ䵺䏭ạ䬰庒㈧柿

Ḳ慓˚慓sdotƋ⋬ⷌ˚告Ṳ⎱䛊ạ慓sdotƌ⎱㥔⋀⟞堳岢䔏䬰䛟旃慓憸˛

ƍ㜓塏㈧朙慓憸ⅎ凮㈧䧬㲼Ḳ㈧㥩Ə㔬㜓塏䛕䙫ᾩὃ䂡岮姱朙Ḳ䔏Əὃ媙䧬Ḳ䔏˛

㴥ⷌ慓sdotḲ䵺䏭ạ⦺⎱愴䙣ガƝ㜓堳䄈㴥ⷌ慓sdotṯ䵺䏭ạ˛

34

㜓堳㖣㛧徸ṳ㔖ế㜓堳告Ṳ˚两䵺䏭˚≖两䵺䏭⎱桎慓憸两栴Ἳ䧬䳻䚱㮻ὲḲ㝷Ɲ

ṻ 㜓堳㔖ế慓憸Ḳ㔦䬽˚㨀㹽凮䴫˚姩慓憸Ḳ䧲凮䵺䇆严㔯Ḳ旃偖『

㜓烚Ḳ喑慓㔦䬽ᾩ䶃俪灐⅓⏟㕛檻䍙炯塏䏥⑳㜑濿䇆怲梏暑Əᾄ偞ἴ䙫偞岓妹剙˚严㔯塏

䏥˚⅓⏟䛕㨀总ㇷ䙫岉䍢ƏỌ⎱喑岮䙫䫝䈔『㱡ῲạ两檻喑慓˛孱⊼慓憸euro凮ῲ

∌Ṳ㥔ἴ䙫岈⋀『严㔯㨀总ㇷ䊧㲨㛰旃怊Ə㘩ẍ俪憶梏暑㔦䬽⎱㻦ヶ䬰峑杉䙫杅

岈⋀『严㔯㨀˛㜓堳ⷙ㠠㓁执堳㥔⅓⏟㲢䏭⋀∮⎱䛟旃㲼ịƏ姩䵺䏭ạ⎱㥔⋀ạ严㔯

俪㠟⎱慓憸㨀㹽Əḍ䵺告Ṳ㛪㠟˛

ⴲ ⴲ

匡ᵉ

䳻䱑䋄Ʊℭ䳻䱑䋄Ʊ䳻䣻㛶⊈朥

35

Ʊ ⊶㭹䋄弉Ḛ⸠濣

告Ṳ㛪怲ὃガƝ

告Ṳ㛪敲㛪㬈 Ƌ$ƌƏ告Ṳガ⥩Ɲ


伵䣯 ⋋濑壹濒⪤教₸濑濒

Ⳬ㧟㐶濑濒

壕₸

Ⳬ㧟㐶

⪤教₸濑濒

Ⳬ䉅濑$濒ὗ壹

告Ṳ敞嶀ẕ㺑

告Ṳ 㝾摒ⷄ

告Ṳ 桎䥌

告Ṳ 溪併凑㯸㛯㗌嵞㒻Ợ㜓堳告Ṳ偞

告Ṳ 佬䶟㛰

告Ṳ ⟡

䍏䪲告Ṳ 㤱⬷㱆

䍏䪲告Ṳ 溪总㥔

䍏䪲告Ṳ ≰⤎ 凑㯸㛯㗌嵞㒻Ợ㜓堳䍏䪲告Ṳ偞

there4Ợ告Ṳ敞䍲敲㹷 ⷙ㖣㯸㛯㗌Ⱝ潈忧Ỹ徔Ợ㜓堳告Ṳ敞偞

there4Ợ䍏䪲告Ṳ 晚 ⷙ㖣㯸㛯㗌徔Ợ㜓堳䍏䪲告Ṳ偞

⅝ẽㆰ姿廰Ṳ柬Ɲ

˚ 告Ṳ㛪Ḳ怲ὃ⥩㛰⇾ガḲ俬Əㆰ㔿㗵告Ṳ㛪㗌㜆˚㜆∌˚字㠯ⅎ˚㈧㛰䍏䪲告Ṳヶ奲⎱⅓⏟䍏䪲告Ṳヶ

奲Ḳ嘼䏭Ɲ

嬰∟ẋ㗺㲼䬓㢄Ḳ ㈧⇾Ṳ柬Ɲ䄈˛

ṳ 晋there4敲Ṳ柬Ə⅝ẽ䵺䍏䪲告Ṳㇽῄ䕀ヶ奲㛰姿拫ㇽ㛟杉偙㗵Ḳ告Ṳ㛪字㱡Ṳ柬Ɲ䄈˛

ṳ˚ 告Ṳ∐旃ᾩ字㠯忛恦Ḳ⟞堳ガƏㆰ㔿㗵告Ṳ⦺˚字㠯ⅎ˚ㆰ∐䚱忛恦Ọ⎱⎪凮塏㱡ガƝ

㛯㗌㈧凰堳䬓Ⱝ䬓⅒㬈告Ṳ㛪字㠯Ḕ㛰旃㜓堳凮洢㵞暭⎱暭Ḳ执堳栴乳䳫㠯Ə告

Ṳ佬䶟㛰ℯ䔆㽂∐䚱塄䩨凑媲忛恦Ə䵺Ḣ婉⅝ẽ告Ṳ檻䄈䕗字态怵˛

˚ 㪪执堳ㆰ朙告Ṳ㛪凑ㇸƋㇽƌ娼搸Ḳ娼怘㜆⎱㜆敺˚娼䮫˚㖠⎱娼ⅎ䬰岮姱Əḍ⇾昫

塏ṳƋƌ告Ṳ㛪娼搸⟞堳ガƝ恐䔏˛

˚ supe告Ṳ㛪偞僤Ḳ䛕㨀Ƌὲ⥩娔䪲姯⦻㛪˚㗮岮姱忶㗵䬰ƌ凮⟞堳ガ娼

㜓堳∌㖣㛯㗌⎱ 㛯㗌Ợ嬂告Ṳ㛪ㇷ怙堳˥昙prop㳾按凮㒱岮˦⎱˥

䁊执堳㥔㕟ἴ⋽䙣ⰼ⎱䛟旃㲼ị嶏⋉˦Ḳ姺媙䧲˛㖣㛯㗌Ợ嬂告Ṳ㛪ㇷ怙堳˥Ḕ併

岦㗺㥩妧⎱⅝嗱˦Ḳ姺媙䧲Ə檻凱Ợ告Ṳㇷㇷ凚⅔㘩怙媙䧲奶˛㜓堳ẍ∌㖣㛯

㗌⎱ 㛯㗌Ợ嬂㖗Ợ告Ṳ怙堳˥梏暑䮈䏭DVHO 䏥㲨Ọ⎱㜑Ὥ䙣ⰼ˦⎱˥姯⦻㛪怲

ὃ⋀Ḳ姺媙䧲 Ə˦Ọ䬍楽㬈Ợ偞告Ṳ㈧曧ㇷ凚ṳ㘩Ḳ怙媙䧲奶˛ằ晋ṭ⤁K媙䧲Ọ

⋽㜓堳告Ṳ昙prop㳾按⎱㒱岮˚㕟ἴ⋽䙣ⰼ嶏⋉˚Ḕ併岦㗺䙫柦˚梏暑䮈䏭䛟旃奶䮫Ọ⎱姯⦻㛪怲ὃ

⋀Ḳ䞔姊Ə㜓堳乳㖣㗵䂡檻告Ṳ㛪ㇷ㥔怙媙䧲ƏỌ⋽告Ṳ㛪Ḳ㥔䟌嬿Ọ⎱⅓⏟㲢䏭Ḳ

㛧㖗暂嶏⋉凮䙣ⰼ˛

36

ṳ 姯⦻㛪怲ὃガ岮姱Ɲ

姯⦻㛪敲㛪㬈 ƤƏ䍏䪲告Ṳガ⥩Ɲ

ᾄ执堳㥔⅓⏟㲢䏭⋀∮奶朙Ḳ柬䛕Ɲ

㜓堳凑㛯㗌ㇷ䂡⅓敲䙣堳⅓⏟嵞Əᾄ㓁䛟旃奶㖣嬰ẋ㈧⅓敲岮姱妧㸓䫀⅓㜓

堳岈⋀˚㥔⋀⎱ⅎ惏ạḲ傈ガ˚告Ṳ㛪字Ṳ徍㲼˚䍏䪲告Ṳ偞岓䮫䕮奶∮⎱⅓⏟姯⦻㛪䴫

主奶䧲䬰⅓⏟㲢䏭䛟旃岮姱˛Ə㜓堳ᾄ执堳㥔⅓⏟㲢䏭⋀∮㈧姩Ḳ˥㘆ⰼƋ䁊ƌ㥔执

堳傈Ụ㛰昷⅓⏟⅓⏟㲢䏭⋀∮ Ə˦Ṇ㖣㛯㗌䵺告Ṳ㛪㠟态怵Əḍ㖣⅓敲岮姱妧

㸓䫀⎱㜓堳䶙䫀⅓˛婚䴗ⅎ媲⎪奲嬰ẋ㈧⅓敲岮姱䫀䶙 KWWSPRSVWZVHFRPWZ˛㜓

堳Ḳ岈⋀⎱⅝ẽ䛟旃岮姱婚奲㜓堳䶙䫀ƝKWWSZZZGEVFRPWZ˛

伵䣯 ⋋⪤教₸Ⳬ㧟㐶

濫

壕₸Ⳬ㧟㐶 ⪤教₸Ⳬ䉅

濫濪ὗ壹




䍏䪲告Ṳ 晚 ⷙ㖣㯸㛯㗌徔Ợ㜓堳䍏䪲告Ṳ偞


˚姯⦻㛪Ḳ怲ὃ⥩㛰⇾ガḲ俬Əㆰ㔿㗵姯⦻㛪㗌㜆˚㜆∌˚字㠯ⅎ˚姯⦻㛪㱡字䴷㞃Ọ⎱⅓⏟

姯⦻㛪ヶ奲Ḳ嘼䏭Ɲ

嬰∟ẋ㗺㲼䬓㢄Ḳ㈧⇾Ṳ柬Ɲ䄈˛

ṳ 晋there4敲Ṳ柬Ə⅝ẽ㜑䵺姯⦻㛪态怵Ə俳䵺檻告ṲḲṳỌヶḲ字㱡Ṳ柬Ɲ䄈˛

ṳ˚䍏䪲告Ṳ∐旃ᾩ字㠯忛恦Ḳ⟞堳ガƏㆰ㔿㗵䍏䪲告Ṳ⦺˚字㠯ⅎ˚ㆰ∐䚱忛恦Ọ⎱⎪凮塏㱡ガ

䄈˛

䍏䪲告Ṳ凮ⅎ惏䨤㠟Ḣ䮈⎱㛪姯Ḳ㺄态ガƋㆰ⋬Ⱈ⅓⏟岈⋀ 㥔⋀䊧㲨怙堳㺄态Ḳ憴⤎Ṳ柬㖠⎱䴷㞃䬰ƌƝ

㜓堳两䨤㠟䧲⇾告Ṳ㛪凮姯⦻㛪Ə䍏䪲告Ṳ凮两䨤㠟㖣告Ṳ㛪字˚姯⦻㛪字there4Ⱈ柬Ṳ

⋀䛛怙堳ヶ奲㺄态˛

ṳ Ⱈ㜓堳岈⋀㥔⋀䊧㲨Ə㜓堳Ḳ䰤嬰㛪姯㖣告Ṳ㛪Ọ⎱姯⦻㛪字⎱岈⋀㘩Ə恧

⇾ḍ㘩奭告Ṳ㛪Ọ⎱姯⦻㛪Ḳ婉ƞ䍏䪲告Ṳḍ凮岈⋀Ứ≪嘼⇾Ị塏⎱䰤嬰㛪姯Ⱈ岈⋀䊧

㲨˚㥔⋀ㇷ敞˚岈䰤嬰ヶ奲˚媦㕛拫˚ⅎ惏ạẋ㗺˚憴⤎伡⤘⎱㜆Ṳ柬䬰字栳䛛怙堳㺄态ṭ姊Əḍ

字Ṳ柬˛

3

7

㜓堳⅓⏟㲢䏭怲ὃガ⎱⅝凮执堳㥔⅓⏟㲢䏭⋀∮ⷕ䕗ガ⎱Ɲ

夓曃䖬

弉Ḛ⸠

僅愾圊㠫⊶㭹䋄⪤

⩆Ⲭ䐮⸠⊈≝

㓭

⋤

堿奨㓌

˚执堳傈㫱䴷㦲⎱傈㝘㫱䚱

执堳㘖姩ⅎ惏ὃ㥔䧲嘼䏭傈㝘字˚䕸侐˚䳥䴂⎱娛娆Ṳ

Əḍᾄ䧲㖤Ƣ

ṳ执堳㘖暂prop执堳ḲḢ奨傈㝘⎱Ḣ奨傈㝘Ḳ㛧䴩prop俬Ƣ

执堳㘖䪲˚⟞堳凮旃ᾩỨ㥔敺Ḳ梏暑䮈㩆prop⎱昙䁒䈭㩆propƢ

9

˚㜓堳㕟Ḳ㙕态傈Ƌ傈

ƌ䔘㘆ⰼ执堳㈧㛰ƞ

㕟Ḳ䉠∌傈Ƌ傈

ƌ䔘㖗supe㘆ⰼ暭傈㛰

昷⅓⏟㈧㛰˛

傈㝘Ḳ字⎱栳䔘告Ṳ㛪愳Ə㜓堳告Ṳ敞˚两䵺䏭⎱䛟旃

⦻㛪ㄵ嘼䏭ḍ䢡奭傈㝘㈧Ḳ字⎱栳˛

ṳ㜓堳僤忶怵暭告Ṳ㛪䦿㛟嘼Ḳ㜆㛛㖗暂⅓⏟Ḣ奨

傈㝘⎱Ḣ奨傈㝘Ḳ㛧䴩prop俬˛

㜓堳凮旃ᾩỨ㥔ⷙ䪲恐䕝梏暑䮈㩆prop⎱昙䁒䈭㩆prop˛

凮执堳㥔⅓⏟㲢䏭⋀

∮䄈桖吾ⷕ䕗

ṳ˚告Ṳ㛪Ḳ䴫ㇷ⎱偞岓

执堳晋ᾄ㲼娔何喑岮慓⦻㛪⎱姯⦻㛪Ə㘖凑栿娔何⅝

ẽ桅sube僤『⦻㛪Ƣ

ṳ㪪执堳㘖姩告Ṳ㛪严㔯娼徍㲼⎱⅝娼㖠Ə㮶ḍ

㜆怙堳严㔯娼Ə

严㔯娼Ḳ䴷㞃告Ṳ㛪Əḍ怲䔏㖣ῲ∌告

Ṳ喑岮慓⎱乳ỢḲ⎪俪Ƣ

执堳㘖㜆娼䰤嬰㛪姯䍏䪲『Ƣ

9

㜓堳凑

㛯㗌

䬓ṳⰭ告ṲỢ㜆敲⦲娔㛰䍏䪲告ṲƏḍ

ᾄ㲼娔何姯⦻㛪Ị䛊ạ

㜓堳娔㛰ὃ㥔梏暑⦻㛪

Ὲ

䔏梏暑䮈䏭⦻㛪

㚏㴨⊼『梏暑⦻㛪

岮䔉岇ₜ⦻㛪

Ọ⎱Ὲ姾岈䔉娼⦻㛪䬰sube僤『⦻㛪⊐告Ṳ㛪⎱两䵺䏭

䛊䏭执堳Ḳ两梏暑˛

ṳ㜓堳暽杅㪪⅓⏟ƏἭⷙ㮶懄告Ṳ㛪严㔯怙堳娼Ə

严㔯娼Ḳ䴷㞃告Ṳ㛪⎪愳Ə娼杉⋬告Ṳ㛪䴫ㇷ

ㇷ˚㛪字岮姱˚㛪字䧲˚偞㫱岓˚姯⦻㛪sube僤䬰˛

㜓堳ᾄ㛪姯姯⎱杅姯㛴⋀⦻Ợ㔦䬽奶Ə㮶娼䰤嬰

㛪姯Ḳ䍏䪲『˚⦻Ợ˚姊Ợㇽ慓Əḍ䴷㞃姯⦻㛪

⎱告Ṳ㛪㠟˛


∮䄈桖吾ⷕ䕗

˚执堳㘖娔何恐Ợ⎱恐䕝ạ㕟Ḳ⅓⏟㲢䏭ạƏḍ⅓⏟㲢䏭Ḣ

䮈Ə岇岓⅓⏟㲢䏭䛟旃Ṳ⋀Ƌ⋬Ἥ昷㖣ᾂ告Ṳ˚䛊ạ⟞堳㥔

⋀㈧曧岮㖀˚⊐告Ṳ˚䛊ạ恜㲼ị˚ᾄ㲼徍䏭告Ṳ㛪⎱傈㝘㛪

Ḳ㛪字䛟旃Ṳ˚壤ὃ告Ṳ㛪⎱傈㝘㛪字Ṳ拫䬰ƌƢ

9

㜓堳暽杅㪪⅓⏟ƏἭⷙᾄ奶㴥⅓⏟㲢䏭Ḣ䮈ḍ愴何⅓⏟㲢

䏭偞ạ岇岓⅓⏟㲢䏭䛟旃Ṳ⋀˚告Ṳ㛪⎱傈㝘㛪Ḳ㛪字䛟旃ṲƏ

ḍⰘ告Ṳ⟞堳㥔⋀㈧曧岮㖀ᾂ㈧曧Ḳ⊐˛


∮䄈桖吾ⷕ䕗

38

夓曃䖬

弉Ḛ⸠


⩆Ⲭ䐮⸠⊈≝

㓭

⋤

堿奨㓌

˚执堳㘖䪲凮∐旃ᾩạƋ⋬Ἥ昷㖣傈㝘˚ⷌ˚⎱ᾂㆰ

ƌ㺄态䮈怺⎱㖣⅓⏟䶙䫀娔何∐旃ᾩạƏḍ⦌恐ㆰ∐

旃ᾩạ㈧旃Ḳ憴奨Ứ㥔䤥㛪岓Ợ字栳Ƣ

9

㜓堳䵺䏭惏敧ᾄ㥔⋀『峑∐旃ᾩạḲ岮姱Əḍ䂡凮∐旃

ᾩạ㺄态Ḳ䮈怺

㜓堳䶙ẍ敲旉˥

∐旃ᾩạƏ˦ᾂ䙣姧ạ

≖䙣姧ạ˚怊䵈䩾Ḳ偖䵈岮姱Ọ⎱䛟旃䙫嘼䏭䧲ƏỌᾦ∐凮

∐旃ᾩạ㺄态˛


∮䄈桖吾ⷕ䕗

ṻ˚岮姱⅓敲

执堳㘖㞝娔䶙䫀Ə朙岈⋀㥔⋀⎱㜓堳⅓⏟㲢䏭岮姱Ƣ

ṳ执堳㘖堳⅝ẽ岮姱朙Ḳ㖠Ƌ⥩㞝娔勘㕮䶙䫀˚ạ岇

岓执堳岮姱Ḳ呷暭⎱朙˚吤䙣姧ạprop˚㲼ạ媑㗵㛪怵䧲㔥何

执堳䶙䫀䬰ƌƢ

执堳㘖凮㛪姯䴩ṭᾄ执堳㲼⎱嬰∟ẋ㗺㲼䛟旃奶㖣㜆昷

ⅎ⅓ḍ䔚岈⋀Ə⎱㖣奶㜆昷there4㗐⅓ḍ䔚䬓

ṳ˚⭊岈⋀凮㛯Ụ䇆怲ガƢ

9

㜓堳娔㛰Ḕ˚勘㕮䶙䫀Ə㜆朙岈⋀˚㥔⋀˚⅓⏟㲢䏭⎱⅝ẽ

䛟旃岮姱Ə⋬㲼⅓敲朙Ṳ柬˚⅓⏟㲢䏭˚岮㜓恐嶚『

凮梏暑䮈䏭˚Ứ㥔䤥㛪岓Ợ㛟˚㛴⋀㓁滅˚䔉⎱㛴⋀

Ẳ䴠

㖗偅䨦⎱㛧㖗imageデㇽ㴢⊼ᾪ択姱ざ䬰Əḍ㛰ạ岇岓㜆

㛛㖗Ə㜓堳䶙ƝKWWSZZZGEVFRPWZ˛

ṳ㜓堳ⅎ惏憴⤎岮姱Ḳ朙Əㆰ䔘䙣姧ạ⎱Ị䏭䙣姧ạ嘼䏭Ə奨

㘩Ə䔘㜓堳岇岓ạ䛛岇岓嘼䏭˛㜓堳䙣姧ạ⎱Ị䏭䙣姧ạḲ

䙣姧ⅎㆰỌ㜓堳㫱Ḳ䮫䂡昷Ə

晋㜓堳岇岓ạ

䙣姧ạ⎱

Ị䏭䙣姧ạƏ⅝ẽạ杅䵺㫱朙ⅎ惏憴⤎岮姱

㜓堳㥔ⷙᾄ执堳㲼⎱嬰∟ẋ㗺㲼䛟旃奶Ḳ㜆昷ⅎƏ㖣⅓敲岮

姱妧㸓䫀⎱㜓堳Ḕ˚勘㕮䶙䫀⅓ḍ䔚⎱岈⋀

Əḍᾄ奶Ḳ㜆昷ⅎƏ㖣㜓堳Ḕ˚勘㕮䶙䫀⅓ḍ䔚⭊岈

⋀岮姱˛


∮䄈桖吾ⷕ䕗

⅔˚执堳㘖㛰⅝ẽ㛰⊐㖣䞔姊⅓⏟㲢䏭怲ὃガḲ憴奨岮姱Ƌ⋬Ἥ

昷㖣ⷌ㫱䚱˚旃˚岮俬旃ᾩ˚∐䚱䛟旃俬㫱䚱˚告Ṳ⎱

䛊ạ怙Ḳガ˚梏暑䮈䏭㔦䬽⎱梏暑塈憶㨀㹽Ḳ⟞堳ガ˚

㔦䬽Ḳ⟞堳ガ˚执堳䂡告Ṳ⎱䛊ạ峣岞岓Ợῄ暑Ḳガ˚

9

ⷌḲ慓˚䥶∐˚ạ⟠備⎱䔚娛䬰柬ⷌ㫱䚱㗵廰㖣ⷌ

ὃ奶∮Ə䵺Ḣ䮈㩆旃㠟ḍ⅓㖤˛䂡吤ⷌ旃Ə㜓堳晋

ᾂ㲼ị奶䥶∐柬䛕

ⷌsdotῄ

ㇷ䪲偞ⷌ䥶∐⦻㛪Ə

㛛ᾂ『䥶∐prop˚ⷌ檻ῄ暑˚㜆㪉㟌˚䰤䳫ℹ


∮䄈桖吾ⷕ䕗

39

夓曃䖬

弉Ḛ⸠


⩆Ⲭ䐮⸠⊈≝

㓭

⋤

堿奨㓌

㔦滏˚∐旃ᾩạ⎱⅓䚱檻㈧䂡Ḳ峯ガ䬰ƌƢ

ⷌ㫱䚱⎱旃Ɲ

ṳ岮俬旃ᾩƝ

∐䚱䛟旃俬㫱䚱Ɲ

告Ṳ⎱䛊ạ怙ḲガƝ

ṻ梏暑䮈䏭㔦䬽⎱梏暑塈憶㨀㹽Ḳ⟞堳ガƝ

⅔㵯岢俬ῄ孞Ɲ

㔦䬽Ḳ⟞堳ガƝ

⅒执堳䂡告Ṳ⎱䛊ạ峣岞岓Ợῄ暑ḲガƝ

Ṅ㔦滏˚∐旃ᾩạ⎱⅓䚱檻㈧䂡Ḳ峯ガƝ

9

娔㖤Ọ⎱ⷌ旃姯䕒Ƌ6ampDUHVƌ䬰˛

ṳ䂡䶔乒凮岮俬剖⥤旃ᾩƏ㜓堳娔㛰岓惏敧嘼䏭傈㝘Ḳ偖乒Ṳ

˛

䂡䶔孞㜓堳凮∐旃ᾩạ敺ẋ㗺Ḳ⅓⎱䢡ῄ⅝㫱䚱Ə㜓堳晋恜

㲼ị奶䮫Əḍ姩䛟旃ὃ㥔奶䫇Ọ岮恜˛

婚奲㜓䮧

Ƌ˥ƌ告Ṳ㛪怲ὃガ˦㛰旃supe告Ṳ㛪偞僤䛕㨀⎱

⟞堳ガ˛

ṻ㜓堳梏暑䮈䏭䙫㛧䴩岇岓ἴ䂡告Ṳ㛪Ə⅝㫱娔䪲Ὲ䔏梏暑

⦻㛪˚㚏㴨⊼『梏暑⦻㛪⎱ὃ㥔梏暑⦻㛪Ə岇岓䵘䰳

⎱䛊䝊䛟旃梏暑Əḍ凮梏敞Ọ⎱ⅎ惏䨤㠟⅘岇岓䢡ῄ䛟旃梏

暑䙫塈憶⎱䮈䏭䬍执堳㨀㹽⎱㔦䬽

梏暑⦻㛪∮㮶㛯敲

㛪㬈Əḍ好暂ガ㲨Əsupe敲㛪栢䍮˛㭋Ə梏暑䮈嘼

ẍ忶怵梏暑㜆告Ṳ㛪㜓堳Ḳ㕛檻梏暑䊧㲨˛

⅔晋ṭ⟞堳㗉㛰Ḳ˥

憸坴㵯岢俬ῄ孞㲼

˦Əᾄ˥

ῲạ岮㖀ῄ孞㲼˦

凮˥憸坴㛴⋀㥔⅓∮

Ḳ˦㖤堳奨㰩Ə㜓堳ⷙⰘ䛟旃㔦䬽

ὃ㥔奶䮫

Ọ⎱凮姩䪲ᾂ憸坴ㇽ㛴⋀Ḳ⤸䳫supe姩

ῄ孞ῲ岮Ḳ㢄㬥Əḍ忶怵ⅎ惏㕀備姺⑳ⅎpropƏ⥩㥔⋀ἴ

Ḳ凑堳㟌㠟⑳䮈ἴḲ㜆㟌Ə䢡ῄ㔦䬽岒⟞堳ƏỌ㜆吤

㲼奶恜凮ῄ孞㵯岢俬㫱䚱˛

㜓堳娔㛰㛴⋀ƝƏ䏭曧㰩Ə嘼䏭

柬执堳㥔⋀⎱嫕婉ṲƏ晋㜆敲㛪㪉姵娛⎱䛟旃梏暑

Ṳờ嘼䏭ガƏḍⰘ婙字栳僤Ḳ㔠㖠㠯˛Ə⟞堳

㻦ヶ媦㟌ƏỌ檿ὃ㥔峑⎱Ὥ憴奨㹽∮˛

⅒㜓堳忶怵㘆ⰼ执堳Ḳ˥暭ῄ暑㖠㠯ƋURXSQVXUDQFH

3URJUDPPHƌ˦

䂡告Ṳ峣岞告Ṳ岓Ợῄ暑˛

40

ṻ执堳⥩㛰娔何喑岮慓⦻㛪俬Əㆰ朙⅝䴫ㇷ˚偞岓⎱怲ὃガƝ㜓堳䛕there4㜑娔何喑慓⦻㛪˛

夓曃䖬

弉Ḛ⸠


⩆Ⲭ䐮⸠⊈≝

㓭⋤

堿奨㓌

Ṅ㜓堳忶怵˥

䤥㛪Ứ㥔婴䟌˦˥

懄㛰㽂sub䙫䤥㛪Ứ㥔⤌Ἓ

䛛ᾂ峱⊐⎱廻˦

Ọ⎱˥䤥㛪Ứ㥔㕛㖣㜓堳䙫Ứ㥔㕮

⋽Ḕ˦䬰㖠杉Ə㖠ἴ晑Ἓ䤥㛪Ứ㥔ㇷ敞˛凚㯸

㭉Ə㜓堳ⷙ凮䙥䤥㛪Ứ㥔ὭƏḍ䳫㖗凡K

⊐䤥㛪Ứ㥔ㇷ敞⑳䙣ⰼƞ敞㜆峱⊐䤥Ứ㴨LDE㴢⊼ƏỌ⟠備䤥

㛪Ứ㥔Ə凚㯸

㭉⅘㛰

䍙廻˛㭋Ə㜓堳

怊乳ṳ峱⊐⎱㔖䁊㛧⤎䙫˥ẅ⤑䤥㛪Ứ㥔檿ⳗ㛪

Ə˦

ḍ㘖䬓Ứ㥔ㇷ䪲˥㘆ⰼ䤥㛪Ứ㥔ⰼ冰㛟䤥

Ə˦㜂忶

怵❲ㄲ䙫字❲Ə怙⤎䜥䤥㛪Ứ㥔䙫婴䟌˛

˚媲Ⱈ凡䁊嬰∟ẋ㗺㈧傈Ụ㛰昷⅓⏟⅓⏟㲢䏭Ḕ㛧徸䙣Ḳ⅓

⏟㲢䏭娼搸䴷㞃媑㗵ⷙ㔠ガƏ⎱ⰘⰁ㜑㔠俬imageℯsupeṲ柬

凮㖤

Ƌ㜑⇾娼⅓⏟俬䄈曧⇾ƌ

㜓堳㜑⇾娼⅓⏟Ə

㭋䄈曧⇾˛

41

⅔ⱌ堳䤥㛪岓Ợガ⎱凮㪪⅓⏟Ứ㥔䤥㛪岓Ợ⋀∮ⷕ䕗ガ⎱Ɲ

夓曃䖬

弉Ḛ⸠

僅Ⳁ㦁⊶ᶿ㠫䟼㗁孪ᶹ⪤

⩆Ⲭ䐮⸠⊈≝壹

㓭

⋤

堿奨㓌

˚执堳㘖ᾄḔ⤎『∮Ə怙堳⅓⏟䇆怲䛟旃Ḳ䒗˚䤥㛪⎱⅓⏟㲢䏭

字栳Ḳ梏暑娼Əḍ姩䛟旃梏暑䮈䏭㔦䬽ㇽ䬽䕌Ƣ

9

㜓堳prop㛰˥

㘆ⰼỨ㥔䤥㛪岓Ợ㔦䬽

凮˦˥㘆ⰼỨ㥔䤥㛪岓Ợ⅓

䚱㴢⊼

㔦䬽

⎱˦˥㘆ⰼ执堳Ƌ䁊ƌ峱⊐㔦䬽

凮˦˥㘆ⰼ执堳Ƌ䁊ƌ峱⊐㨀㹽

Ə˦

䔏Ọ奶䮫Ứ㥔䤥㛪岓Ợ㴢⊼⎱峱⊐䮫䕮凮ⅎƏ㜓堳Ứ㥔䤥㛪岓Ợ㴢⊼䙭

柯恜志㔦䬽凮㹽∮㖤Əḍ㜆㪉好凮㔠Ə㮶檻Ẩ怙堳

⅓˛㜓堳ẍ㜆㪉姵Ứ㥔䤥㛪岓Ợ㴢⊼㖤ㇷ㔯˛

恐䔏

ṳ˚执堳㘖娔何⊼Ứ㥔䤥㛪岓ỢƋⅣƌ偞ἴƏḍ䔘告Ṳ㛪㫱檿

晵䮈䏭晵ⱋ嘼䏭Ə⎱告Ṳ㛪嘼䏭ガƢ

9

㜓烚Ứ㥔䤥㛪岓ỢỌ˥晑Ἓ䤥㛪Ứ㥔˦䂡Ḣ廟Ə䔘暭䬽䕌㚏ₚ姱嘼

ḢƏ忶怵字˚⟠備⎱㕛䬰⤎杉Ə乳吤㔦䬽ḍ䛟旃㴢⊼Ə

总lowast㖠杉⊐䤥㛪Ứ㥔ㇷ敞Ḳ栿㙖˛㜓堳两䵺䏭ẍ㖣㮶⭊岈⋀㥔⋀

ḔƏ告Ṳ㛪䛟旃㴢⊼凮Ḣ奨⟞堳ㇷ㔯˛

恐䔏

˚䒗字栳

执堳㘖ᾄ⅝䔉㥔䉠『䪲恐Ḳ䒗䮈䏭propƢ

ṳ执堳㘖凛sub㖣柬岮㹷Ḳ∐䔏㔯䍮Əḍὦ䔏䒗岇卞塄㒱ἵḲ

ⅴ䔆䉐㖀Ƣ

执堳㘖娼㰊孱恞Ứ㥔䏥⎱㜑Ὥ䙫㽂梏暑凮㩆㛪Əḍ㰊

䛟旃字栳Ḳㆰ㖤Ƣ

执堳㘖䵘姯怵⎢⅐㺒㰊檻㔥憶˚䔏㰛憶⎱㢫䉐两憴憶Əḍ

prop䮧僤㸂䢚˚㺒㰊檻㸂憶Ə㸂䔏㰛ㇽ⅝ẽ㢫䉐䮈䏭Ḳ䬽䕌Ƣ

9

䂡柦ㆰ㰟乳Ə嵞Ə㜓堳ㇷ䪲㰟乳䙣ⰼ⦻㛪Ə偁䄍⅔柬偖㰟乳

䙣ⰼ㨀Ə䴷憸坴偞僤㥔⎱岮㹷Ə忶怵⤎Ḣ廟Ɲ岇岓Ợ䙫执堳˚岇

岓Ợ䙫䇆怲䮈䏭⎱≜怇䤥㛪柦subƏ䙣ⰼ䶇剙憸坴䛟旃䔉⎱䳢⇾

㴢⊼Ə㜆䙣㛛⤎䙫䤥㛪㔯䚱˛

恜㘆ⰼ暭奶䮫Ə㖣䒗䮈䏭5∮Ƌ5HGXFH5HXVH

5HFFOHƌ˛总lowast❪㸂憶˚憴壮ὦ䔏Əḍ䢡lowast岮㹷㔝˛

ṳ

㜓堳凛sub㖣䒗䙫㰟乳䙣ⰼƏ忶怵徍⅓嘼㈧奶䕒⎱ⅎ惏ⷌƏ

㸂岮㹷㵑岢Ə昴ἵ䒗怇ㇷ䙫岇㒻˛㜓堳䍙((

ƋHDGHUVKLSLQ(QHUJDQG(QYLURQP

HQWDOHVLJQƌ䶇䮰䙫婴

嬰Ə婴㜓堳怇檿峑ⷌὃ䒗⎱⊐䙣ⰼ㰟乳䒗䙫⊑sub˛

㜓堳㖣㯸

态怵62僤

㹷䮈䏭䳢䵘婴嬰Ə㜆㟌僤㹷

娔₀ὦ䔏˚䢡ῄ岮㹷Əḍ吤僤㹷䮈䏭䳢䵘Ə昴ἵ㺒㰊檻Ḳ

㔥˛㭋Ə㜓烚䨴㥜怙堳ⅎ惏䮧䳫僤㹷Ə柦ㆰ柬䒗ῄ㴢⊼Ə

⥩˥䏪㘩炷DUWK+RXUƌ˦˚˥

䔳䏪㗌ƋRUOG(QYLURQP

HQW

Dƌ˦䬰㴢⊼濑amp5(6$濒˛

恐䔏

42

夓曃䖬

弉Ḛ⸠



㓭⋤

堿奨㓌

暽䄝㜓堳杅䂡㪪⅓⏟ƏἭ凛sub㖣䮧僤㸂䢚䛛䂡㜓堳㰟乳䛕

㨀ḲƏ㜓堳㈧壤ḲỨ㥔䤥㛪岓Ợ㛟䙭ᾄ㘆ⰼ暭㔦䬽朙

䔏曢憶˚䔏曢暭˚㺒㰊檻㔥憶˚㺒㰊檻㔥憶暭

˚Ọ⎱曢sub㔥ᾩ㕟䬰岮姱ḍὃ䂡㔠堳⊼⎪愳˛

˚䤥㛪字栳

执堳㘖ᾄ䅎䛟旃㲼奶⎱暂ạ㫱⅓䳫Əprop䛟旃Ḳ䮈䏭㔦䬽凮䧲Ƣ

ṳ执堳㘖姩⎱㖤䏭ⷌ䥶∐㖤Ƌ⋬喑慓˚Ỹ⎱⅝ẽ䥶∐

䬰ƌƏ

ḍ䵺䇆严㔯ㇽㇷ㞃恐䕝㘇㖣ⷌ喑慓Ƣ

执堳㘖ᾂⷌ凮Ḳⷌὃ䒗Əḍⷌ㜆㖤凮

㕀備Ƣ

执堳㘖䂡ⷌ䪲㛰㔯Ḳ偞㶖僤sub䙣ⰼ⟠姺姯䕒Ƣ

ṻ䔉凮㛴⋀Ḳ凮˚暘䦨˚堳択⎱㨀䤡Ə执堳㘖

恜䛟旃㲼奶⎱暂㹽∮Əḍprop䛟旃ῄ孞㵯岢俬㫱䚱㔦䬽⎱䔚娛䧲

Ƣ

⅔执堳姩ᾂㆰ䮈䏭㔦䬽Ə奨㰩ᾂㆰ䒗ῄ˚偞㥔塂䔆ㇽsdot⊼

ạ㫱䬰字栳恜䛟旃奶䮫Ə⎱⅝㖤ガƢ

9

ⷌ䂡执堳㛧憴奨䙫岮䔉Ə㜓堳杅憴好ⷌ㫱䚱Əⷙ䢡恜䛟

旃sdot⊼㲼奶⎱⟡㜓sdot⊼ạ㫱∮ƏỌῄ暃ⷌ㫱䚱Ə䛟旃㫱∐侐⋀

⎱奶廰㗵ⷌⅱƞ勌㛰ỢἼ㛛⊼⎱姩Ə忶怵ⅎ惏䶙䫀

⎱曢⬷惜ờ⅓˛

ṳ

䂡㜂ⷌ䅎桎⑳旃䙫柿⟆壈柿ℯ˛㜓堳䵺怵丄䙫曧㰩

䟻䩝Ə⑳乳旃㳏䙫⊼ㄲ⎱ᾂ䥶∐䙫ⅎƏ㘩ᾄ暭

䛟旃䥶∐㔦䬽Əᾂimage㖣㲼ịḲⷌ䥶∐㖤˛㭋Ə㜓烚Ḳ喑慓

㔦䬽ᾩ䶃俪灐⅓⏟㕛檻䍙炯塏䏥⑳㜑濿䇆怲梏暑Əᾄ偞ἴ䙫

偞岓妹剙˚严㔯塏䏥˚⅓⏟䛕㨀总ㇷ䙫岉䍢ƏỌ⎱喑岮

䙫䫝䈔『㘇ῲạ两檻喑慓˛

㜓烚凛sub怇凹恐䙫ⷌὃ䒗Ə䢡ῄⷌ䄈噅䙫䒗

ⷌὃƏḔ⎱Ṛ䙭㦕䍙㔦image剖婴嬰˛㭋Ə㜓堳ẍ

旃ⷌḲガ㲨Ə㭋ᾂⷌ㜆庒檻㪉㟌Əḍ愴何㥔孞

䏭ạ⎱䰤䳫憒ᾂᾪ怙ⷌ庒Ḳ㥔嫕婉⎱⊐㖠㠯˛

㜓堳ᾄ㓁偞⋀∌姩侹Əḍ奨㰩⸝ạḢ䮈㘩敺凮ⷌ

怙堳侹䙣ⰼ㖠杉䙫姵媽Əὦⷌ僤㓁㭋奶≪ῲạ侹䙣ⰼ姯䕒˛

㮶ẍᾄ㓁凮惏敧Ị塏怙堳Ḳ姺曧㰩㝷Ə姩姺

姯䕒Əḍ姺䛟旃䙫徍㲼˚ⅱ⎱塏⅓㖣ⅎ惏䶙巖岮㹷ⅎƏ

ᾂⷌ⤁K怙㖠㠯⎱ⅎⷌὃ弑媦㩆㛪ƏỌ䙣ⰼ执堳㥔ạ

ㆰ⅞₀Ḳⷌὃ偞僤Ə㦲ⷌ䟔Ḕ敞㜆偞㶖䙣ⰼ檻䳢ƏỌ䢡ῄ䴫

主Ḳ㰟乳䙣ⰼḍ䛈Ứ㥔⬼備ạḲ䤥㛪岓Ợ˛

ṻ

㜓堳䔉凮㛴⋀䬰岮姱⅓Ἧ㖣㖠䶙䫀Əẍ忶怵堳

⎱㛴Ḕ㟌婉䛟旃䔉凮㛴⋀姱ざƏ⥩㛰ỢἼ㵯岢俬㫱䚱ㇽ䛟旃

恐䔏

43

娢Ɲ

㜓堳杅㪪执堳Ə䄈柯⇾˥凮㪪⅓⏟Ứ㥔䤥㛪岓Ợ⋀∮ⷕ䕗ガ⎱˦㫫˛

夓曃䖬

弉Ḛ⸠



㓭

⋤

堿奨㓌

䔚娛Ə䙭忶怵志䮈怺怙堳䔚娛˛㜓堳ᾄ㓁堳ⅎ˥ヶ奲˚

』凮䔚娛ὃ㥔嘼䏭㹽∮˦㛰旃䧲徍䏭˛

⅔㜓堳凮ᾂㆰὭthere4Ə䙭㛪怙堳娼媦㟌Əḍ㖣峣䳫Ḕ姩

Ứ㥔䤥㛪岓ỢƏ奨㰩Ὥ柯恜㜓堳ᾂㆰ掯怺堳䂡∮˛⥩ᾂ

ㆰ㛰㵰⎱怼Ứ㥔䤥㛪岓Ợ䒗凮䤥㛪㛰桖吾柦㘩Ə㜓堳ẍ

ᾄ䛟旃㢄㬥凮⅝䴩㭉ㇽ姊晋⤸䳫˛

ṻ˚执堳㘖⎪俪暂态䔏Ḳ㛟壤㹽∮ㇽƏpropỨ㥔䤥㛪岓Ợ

㛟䬰朙执堳杅岈⋀岮姱Ḳ㛟Ƣthere4㛟㘖䬓㖠樾嬰

ἴḲ䢡Ὲㇽῄ嬰ヶ奲Ƣ

9

㜓堳Ḣ⊼㖣

楽䈯˥㘆ⰼỨ㥔䤥㛪岓Ợ㛟㘆敲⦲Ə≜怇

ヰぬ䙫执堳䵺樾

Ə˦ㇷ䂡执⬷堳䬓凑䙣『朙⅓⏟㲢䏭˚

旃˚ⷌ䅎桎˚䒗ῄ孞˚䤥㛪⎪凮䬰杉䙫⊑sub⑳ㇷ㞃Ə㛰㔯总

ㇷỨ㥔凮∐旃ᾩạ曀㺄态䙫䛕㨀˛㮶㜆䙣䈯

㛟Ə㛛㖗㜓堳㖠杉䛟旃岮姱˛

ᾄ㘆ⰼ暭㰟乳Ḣ廟Ə䈯ḲỨ

㥔䤥㛪岓Ợ㛟Ḣ栳䂡˥㰟乳䙣ⰼƏ㘆ⰼ暏堳

Ƌ˦LYHP

RUH

6XVWDLQDEOƌƏ忶怵⤎㰟乳㖠懄Ə乳䏥㷘俼䁊䙫嫥˛㛟⎪

䅎5㰟乳『㹽∮㠟恟柬⎱䔏㛧㖗䈯5

㒗Əḍ态怵

66

㠣䙫樾嬰䧲Ə䬍$$䍏䪲ῄ嬰Əᾂ㷬㙗⅞檻˚Ὲ峛䙫

岮姱˛

恐䔏

⅔˚执堳⥩ᾄ㓁˥㪪⅓⏟Ứ㥔䤥㛪岓Ợ⋀∮˦㛰㜓庒ḲỨ㥔䤥㛪岓Ợ∮俬Ə媲㔿㗵⅝怲ὃ凮㈧∮Ḳⷕ䕗ガƝ婚志㫫˛

˚⅝ẽ㛰⊐㖣䞔姊Ứ㥔䤥㛪岓Ợ怲ὃガḲ憴奨岮姱Ɲ㜓堳ⷌ晋ṭ䔏偞僤㥔ᾂ䤥Ứ廻Ə峣䤥Ứ䔉ƒ㛴⋀Ə䂡怙⎱⋽⤎䜥䤥㛪Ứ㥔䙫婴䟌Ə楽㬈偖䵺晉⎱栿㙖ⷌ䧲⅘⟞堳˥䤥

Ứƒ䤥≜⤎媦㟌

Ə˦孺䔉˚˚䔳⎱⤎䜥䬰Ə懄㯸䜥䙫婴䟌ㇽ㘖䤥Ứƒ䤥≜≜㥔曧㰩䬰字栳㛰⎪俪ᾄ㓁˚乳峱⊐ḍ⎪凮ṳⰭ䁊㛧⤎䙫˥ẅ⤑䤥Ứ檿ⳗ㛪

Ə˦暭䴷ⅎ嵬ạ

Ƌ䤥

Ứ⎱䤥≜ƌ⎪凮˚楽≜˥㘆ⰼ䤥㛪Ứ㥔ⰼ˦冰㛟䤥Əḍ䈳㴢⊼Ă㘆

ⰼ曢楽䴷䤥ỨƏlowast㷘Ə孺㯸䜥廼櫭䞔姊怙俳㔖䤥Ứ˛

44

执堳ⱌ堳媇Ὲ䵺䇆ガ⎱堳㖤濣

夓曃䖬

弉Ḛ⸠

僅Ⳁ㦁⊶奞ẟ䱑䂝


㓭

⋤

堿奨㓌

˚姩媇Ὲ䵺䇆㔦䬽⎱㖠㠯

执堳㘖㖣奶䫇⎱㕮ờḔ㗵䤡媇Ὲ䵺䇆Ḳ㔦䬽

ὃ㲼ƏỌ⎱告Ṳ

㛪凮䮈䏭晵ⱋ䨴㥜吤䵺䇆㔦䬽Ḳ嫥Ƣ

ṳ执堳㘖姩昙䮫媇Ὲ堳䂡㖠㠯Əḍ㖣㖠㠯ⅎ㗵ὃ㥔䧲

堳

䂡˚怼奶Ḳㇹ⎱䔚娛propƏ吤⟞堳Ƣ

执堳㘖˥

㪪⅓⏟媇Ὲ䵺䇆∮

䬓˦㢄䬓ṳ柬㬥ㇽ⅝ẽ

䇆㥔䮫ⅎ⅞廪檿媇Ὲ堳䂡梏暑Ḳ䇆㥔㴢⊼Ə堳昙䮫㖤Ƣ

9

㜓堳ᾄ㓁˥憸坴傈⅓⏟⎱执堳㥔ⅎ惏prop⎱䨤㠟prop㖤徍

㲼˦䬓㢄䬓柬䬓㬥Ḳ奶㖣䵺

告Ṳ㛪㠟态

怵˥告Ṳ堳䂡㹽∮Ə˦⅝Ḕ䬓㢄

⎱㢄

ẍ奶䮫㜓堳Ḳ告Ṳㆰ

䨴㥜吤⅓ẋ㗺Ọ⎱滺⋜㪉凰怼㲼ㇽ怼堳䂡㹽∮Ḳ堳䂡˛

㭋Ə㜓堳ẍ姩㛰ⅎ惏˥堳䂡㹽∮˦Ọ奶䮫㜓堳柬堳䂡∮

⑳㨀㹽Ə⋬˥偞㥔㒴˦˥ῄ『˦˥∐䚱塄䩨˦˥凮

⅓ẋ㗺˦˥姿拫䙫㕛『⑳䲥䢡『˦˥凰˦䬰⅔柬㠟

∮Ə⅝Ḕ⋬㜓堳嘼䏭凮㔦ἴ˚䦨ạ䴫主⎱ῲạὭㆰ恜

Ḳ奶䮫Ə⎱岫䵈˚岑儷䬰奨㰩Ə䔘䮈䏭晱岇岓⅝

执堳㥔⋀㴢⊼ḔƏ奨㰩檻Ẩ恜堳˛

ṳ㜓堳˥ⷌ堳䂡㹽∮˦㗵姩檻ⷌ㖣⟞堳㥔⋀⎱柬ὃ㥔ㆰ

恜䛟旃㲼奶䮫⎱ὃ㥔㹽∮Əḍⰼ䏥635(Ḳ

堳䂡⃠

㨀㹽˛勌㛰怼婙㹽∮ḲガṲƏ柯䵺ⷚ何Ḳ媦㟌˚嘼⎱䔚

娛䧲徍䏭˛ⷌ嘼䴷㞃柦⅝㜆敺Ḳ䌵慓⎱恞

㜓堳晋ⷙ˥堳䂡㹽∮˦䳴㖗怙ạ˥倿暮䳫˦ḔƏḍ奨

㰩⅝䞔姊ḍ㭊䰤余Ə㖣㖗怙ạ姺㘩supeƞ㖣

䏥偞ạƏ㜓堳晋㜆懄嘼㖣䇆㥔䮫ⅎ⅞廪檿媇Ὲ堳

䂡梏暑䇆㥔㴢⊼Ḳⷌ怙堳supe姺Ə㮶ḍ奨㰩㈧

㛰䏥偞Ẩ柯ⅴ䆆ばḍ䰤余㜓堳˥堳䂡㹽∮˦䬰䛟旃奶䮫㔦

䬽˛

恐䔏

45

夓曃䖬

弉Ḛ⸠



㓭

⋤

堿奨㓌

ṳ˚吤媇Ὲ䵺䇆

执堳㘖娼Ὥ屈Ḳ媇Ὲ䳧拫Əḍ㖣⅝凮Ὥẋ㗺屈䰤姩Ḳ

⤸䳫Ḕ㗵姩媇Ὲ堳䂡㢄㬥Ƣ

ṳ执堳㘖娔何暟ⱓ告Ṳ㛪Ḳ⊼Ứ㥔媇Ὲ䵺䇆ƋⅣƌ偞ἴƏḍ

㜆告Ṳ㛪⅝⟞堳ガƢ

执堳㘖prop昙㭉∐䚱塄䩨㔦䬽

ᾂ恐䕝晚志䮈怺Əḍ吤⟞堳Ƣ

执堳㘖䂡吤媇Ὲ䵺䇆ⷙ䪲㛰㔯䙫㛪姯prop

ⅎ惏proppropƏḍ

䔘ⅎ惏䨤㠟ἴ㜆㟌㠟Əㇽ⦻姾㛪姯⟞堳㟌㠟Ƣ

ṻ执堳㘖㜆凰徍媇Ὲ䵺䇆Ḳⅎ˚惏Ḳ㕀備姺Ƣ

9

㜓堳㖣峣䳫Ḕ㛰姩Ứ㥔䤥㛪岓ỢƏ奨㰩Ὥ柯恜

㜓堳ᾂㆰ掯怺堳䂡∮ƏỌ㜆ạ㫱˚凮塂䔆˚乳䙣ⰼ

Ḳ䒗

㥔媇Ὲ凮怺䛕䙫Ə忶怵奨㰩㜓堳ᾂㆰ掯愴㖤桅

ἣ䙫堳䂡㨀㹽ƏỌ总ㇷ怺Ḳ嫥

㜓堳㖣峣䳫Ḕ䙭姩

岫岩㢄㬥Ə奨㰩Ὥ㵰⎱媇Ὲ堳䂡˛㭋Ə㜓堳

ẍᾄ㓁㲼奶㖣㥔⤸䳫Ḕ㗵姩媇Ὲ堳䂡䛟旃㢄㬥Əὲ⥩ᾂ

⤸䳫斘㜆敺˚㗵䢡朙柬梏暑˚䟌ㆰ岇㒻Ḳ岢䔏˚

怼䳫憸⎱䤡䴂䈔嘼䏭⎱䔚娛Ḳ䮈怺䬰ƏỌ䢡ῄ⤸䳫㢄㬥Ḳ⅓

⎱䏭『˛

ṳ㜓堳晋䔘䮈䏭晱岇岓Ứ㥔媇Ὲ䵺䇆㔦䬽执堳㥔⋀㴢⊼

ḔƏḍⰘỨ㥔ⅎ惏憸坴䮈㖠杉娔㛰岓䍏䪲ἴ˥

憸坴

䊖佑昙prop媦㟌㚏Ứ㥔惏

岇˦岓Ṳờ㘇䮈䏭

ᾂ䮈䏭晱

㱡䬽㖤堳Ọ⎱⊐告Ṳ㛪Ḳ䝊˛

㜓堳懄∐旃ᾩạᾄ㲼䪲岮㖀㩻ὃ㥔䧲⎱䛟旃䮈䏭徍

㲼Əḍ懄ạⅣỢ惏偞⋀Ḳ㴢⊼䪲䔚⎱䮈䏭䧲ƏỌ䢡

ῄ䄈∐塄䩨ḲガṲ˛㜓堳Ḳ˥

告Ṳ堳䂡㹽∮˦Ọ⎱ⅎ惏˥

堳䂡

㹽∮

ⷙ˦奶∐䚱塄䩨Ḳ昙䮫㔦䬽⎱㨀㹽Ə㜓堳䵺䏭惏敧ẍᾄ㥔

⋀『峑∐旃ᾩạḲ岮姱Əḍ䂡凮∐旃ᾩạ㺄态Ḳ䮈

怺˛


㲼Ḳ˦奶⎱告Ṳ㛪㠟Ḳ㟌㠟姯䕒Ə䔘ⅎ惏䨤㠟ἴ

⟞堳䛟旃Ḳ㟌㠟ⷌὃƏ⥩㛰䙣䏥㟌㠟伡⤘Əẍ䨴㥜䝊⎱忤幋

㟌ἴ怙堳奨Ḳ㔠˛㜓堳ẍⷙ⦻姾岮媇偖㛪姯Ṳ⋀

㈧怙堳㜓堳岈⋀˚䧬⋀⎱ⅎ惏propprop㟌㠟˛

ṻ㜓堳˥堳䂡㹽∮˦Ḳ奶䮫ⷙ˥媇Ὲ䵺䇆˦䬰Ḳⅎ总䳴㖗

怙ạḲ㕀備姺˛㖣䏥偞ạƏ㜓堳晋㜆懄嘼㖣䇆㥔

䮫ⅎ⅞廪檿媇Ὲ堳䂡梏暑䇆㥔㴢⊼Ḳⷌ怙堳supe

恐䔏

46

夓曃䖬

弉Ḛ⸠



㓭

⋤

堿奨㓌

姺Ə㮶ẍ奨㰩㈧㛰䏥偞Ẩ柯ㇷ˥堳䂡㹽∮˦

媙䧲ḍ态怵㸓樾˛

˚执堳㪉凰propḲ怲ὃガ

执堳㘖姩⅞檻㪉凰⎱䌵⋜propƏḍ䪲ᾦ∐㪉凰䮈怺Ə⎱懄墒

㪉凰屈㴥恐䕝Ḳ䏭岓ạƢ

ṳ执堳㘖姩䏭㪉凰Ṳ柬Ḳ媦㟌㨀㹽ὃ㥔䧲⎱䛟旃ῄ㩆propƢ

执堳㘖ῄ孞㪉凰ạ㪉凰俳恔䕝嘼何Ḳ㖤Ƣ

9

㜓堳Ḳ˥告Ṳ堳䂡㹽∮˦Ọ⎱˥堳䂡㹽∮˦滺⋜˥凰˦

∮Ə㗵ⷌ⎱䮈䏭晱媇Ὲ堳䂡Ḳ凰岓Ợ⎱䮈怺˛

㘩Əḍᾄ㭋䪲䍏䪲㪉凰䮈怺Ə䔘岓ἴ˥憸坴䊖佑昙prop媦

㟌㚏Ứ㥔惏˦岇岓嘼䏭⎱媦㟌ƏỌ䢡ῄ怵䧲ḔḲ䍏䪲『⎱

ῄ『˛

ṳ

㜓堳姩㛰˥

ⅎ惏媦㟌ὃ㥔㹽∮Ə˦奶䮫䏭㪉凰Ḳ媦㟌嘼䏭⎱㠯

ờῄ䛟旃Ṳ柬˛

㜓堳㖣˥堳䂡㹽∮˦ḔḲ˥凰˦∮ⷙ㗵㪉凰ạㆰṯῄ

孞Əὦ㪉凰ạ㪉凰俳恔䕝嘼何ƞ⎯㖣˥ⅎ惏媦㟌ὃ㥔

㹽∮˦㪉凰ạ庒姩㛰䛟䕝ῄ奨㰩ƏỌ㰩㘩㖣㔦䬽杉⑳

⋀杉怙堳㪉凰ạḲῄ孞˛

恐䔏

˚supe岮姱朙

执堳㘖㖣⅝䶙䫀⎱⅓敲岮姱妧㸓䫀Ə朙⅝㈧姩媇Ὲ䵺䇆∮ⅎ

⎱⊼ㇷ㔯Ƣ

9

㜓烚ⷙ㞝娔Ḕ勘㕮㖠䶙䫀KWWSZZZGEVFRPWZƏ朙执堳䛟旃

姱ざƏ㭋ẍ忶怵㖗偅䙣⎱㺄态䬰㖠Ə孺䤥㛪⤎䜥ṭ姊㜓堳䇆怲

ガ㲨˛

恐䔏

ṻ˚执堳⥩ᾄ㓁˥㪪⅓⏟媇Ὲ䵺䇆∮˦姩㛰㜓庒Ḳ媇Ὲ䵺䇆∮俬Ə媲㔿㗵⅝怲ὃ凮㈧姩∮Ḳⷕ䕗ガƝ恐䔏˛Ƌ

娢ƌ

⅔˚⅝ẽ㛰⊐㖣䞔姊执堳媇Ὲ䵺䇆怲ὃガḲ憴奨岮姱Ƌ⥩执堳㪉姵㭊⅝姩Ḳ媇Ὲ䵺䇆∮䬰ガƌƝ

䄈˛

娢Ɲ

㜓堳杅㪪执堳Ə㭋˥凮㪪⅓⏟媇Ὲ䵺䇆∮ⷕ䕗ガ⎱˦㫫恐䔏˛

⅒

执堳⥩㛰姩⅓⏟㲢䏭∮⎱䛟旃奶䫇俬Əㆰ朙⅝㟌婉㖠Ɲ㜓堳⅓⏟㲢䏭Ḳ䛟旃奶䫇ⷙ∌朙㖣㜓堳䶙Ḳ˥⅓⏟㲢䏭˦Ọ⎱嬰ẋ㈧⅓敲岮姱妧㸓䫀

Ḳ˥⅓⏟㲢䏭˦惏ỤƏ婚奲㜓堳䶙䶙ƝKWWSZZZGEVFRPWZ

Ọ⎱嬰ẋ㈧⅓敲岮姱妧㸓䫀䶙ƝKWWSPRSVWZVHFRPWZ˛

Ṅ

⅝ẽ嶚Ọ怙执堳⅓⏟㲢䏭怲ὃガ㚟姊Ḳ憴奨岮姱Ɲ䄈˛

47

ⅎ惏propprop⟞堳䊧㲨ㆰ朙⇾Ṳ柬Ɲ

ⅎ惏propprop偙㗵㛟

48

49

50

51

52

53

=Egravebrvbare MraquoNGIumlmacrVumlsup1

|]aringaeligIUcircraquosup3$aacute1B 1Uumligrave

|]aringaeligUcircraquosup3$aacute1BLdfNnotTHORNiquestNtildeIumlyk0Ugraveu66ggtOslashj6fMraquolhrFcw4xlaquoTtimeskgt-Iumlyen+EcircccedilregAcirca)=EgravebrvbareMfrac1213Aringordfbrvbare Icircraquo~iWegraveK2EOgraveReacuteAcircbiquestcurrennAgrave13_)[Acirc71NumlJsup1 Igrave9IumlAtilde=EacuteeMraquoMraquoccedil2cent =8 Xfrac14AumlOslashjUacuteordmiexclpoundnotUHatilde` Uacuteordmusup31BgtUcircraquo0Ugraveu6gtsect6fYOacutemhccedilOcircAacuteshyOslashj IcircraquonotacircÎacute13AcircaqMfrac14brvbaretYacutemicrotcopygtqZ35NGSagrave13

zAcirca)para1AElig[Acirc7ecircK Xfrac34NnotszligiquestNIumlyplusmnk0Ugraveu66fgtOslashj6fMraquolltQsFcv4xlaquoTtimeskv(ampbrvbarf13middotAcircaMfrac34aumlPbrvbarep)para1AElig[Acirc7ccedil7acute2 oraquoNGY13

NtildeGv( ETHraquoDumlqOcirccent eumlA2 Oumlp3Otilde2 O13

IumlCcedilsup2CAcirc a q

AcircaiacutedegEuml

cedilL icirc d

54

55

㛧徸ṳ⎱凚㗌㭉Ə㜓堳怼㲼嘼⎱Ḣ奨伡⤘凮㔠ガƏㆰ朙⇾Ṳ柬Ɲ

岇岓ạㇽ偞㥔⋀䊖佑䵺㪉嵞娛俬Ɲ䄈˛

怼㲼ị䵺憸䮈㛪嘼Ọ佗捗俬Ɲ

㖗Ὲ䔏䳢䵘何⎱弰㜑䛈Ə凛姯ざ挖媋䬰䛟旃伡⤘㠯Ə㠟㛰怼执堳㲼䬓㢄

Ḳ 㫱姩ḲῈ䔏㥔⋀㩆㦲䮈䏭徍㲼䬓㢄奶Əᾄ㲼䬓㢄奶Ə㠟嘼㖗凡

吓K佗捗 Ƌ 㛯㗌憸䮈执⬾䬓噆˚ 㛯㗌憸䮈执

⬾䬓噆˚ 㛯㗌憸䮈执⬾䬓噆ƌ

㔠㖤

㖣䬓 ⭊ㇷ䳢䵘䧲㔠Ə晋㺉㔝憸栴supe姯∐ざ徻恫柦Əẍ㘩supe⟞

堳㜆Ḳ⸚暏㩆㟌㩆propỌ⎱㖤ạ䳢䵘㒴ὃ僤sub⎱ㆰ孱僤subḲ⋽姺˛愴憴㖗䙣

ṯthere4㾚䛂䁊Ḳὃ㥔ㇷƏⅎ惏䨤㠟奭㠟ⷙ好there4志㔠㖤⎱䛟旃ὃ㥔

凮䳢䵘Əḍⷙ㖣㛯㗌告Ṳ㛪˛ⰘῈ䔏㥔⋀䛟旃ὃ㥔㈧場䔆Ḳ娛㠯ờƏ

ẍ凑䬓 ⭊嵞⭊告Ṳ㛪晚嘼䏭ガƋ䛟旃㪉姵⎱㔠㖤ƌ

䵺憸䮈㛪ᾄ执堳㲼䬓⅔㢄Ḳ奶嘼Ṳ柬Ɲ

㈦岟⎱庱岟急㜆怼䳫憸Ḳ姯䭾⅓㜑愴⤸䳫䳫ὃ㭌㭊Ə㠟ⱓ㛰䤀䵺䇆Ḳ噅Əᾄ

执堳㲼䬓㢄Ḳ 䬓柬奶Əㆰṯ䳥㭊Ə媲䛟旃⋽䮈㖤㚏㪉姵㔠ガƏ

告Ṳ㛪态怵憸䮈㛪 Ƌ 㛯㗌憸䮈执⬾䬓噆ƌ

㔠㖤

ⷙ㖣䬓 ⭊ㇷ䛟旃䧲㭊Ə㭊ㇷthere4㚒姯㔝㈦˚庱岟急㜆怼䳫憸䛛凚

㛯㗌⦲ぉ˛Ḣ⊼徻恫凑㛯嵞Ḳ㈦岟凮凑㛯嵞Ḳ庱岟ⷙ㔝急㜆

怼䳫憸Ƌ⋬暂ᾄ⤸䳫ㆰ㔝Ḳ急㜆怼䳫憸凮㺉㔝Ḳ惏ƌƏḍsupeⷙ㔝急㜆怼䳫憸ざ

姯䭾Ḳ∐ざ˛

㜓堳徍䏭㽋暭Ὲ㠯Ə䙣䏥Ὲ䛟旃ὃ㥔㵰㛰伡⤘Əᾄ执堳㲼䬓㢄Ḳ 䬓柬奶

ㆰṯ䳥㭊 Ƌ 㛯㗌憸䮈执䥏⬾䬓噆ƌ

㔠㖤Ɲ

晋ⷙ⟞堳⋽ὃ㥔峑Ḳ㕀備姺Ə⋬䔚媲岦㗺坴岮栴ḲῈὃ㥔峑˚supe

Ὲ㠯ὲẒ˚supe徍䏭Ὲὃ㥔㘩栴䏭『娼䬰ƏẍῈὃ㥔峑䳴䂡㜆凑堳㟌

㠟柬䛕˛㜓堳ⷙ⎪俪执堳⅓㛪Ḳ字ƏⰘ总䉠憸栴Ḳẋ㗺supe㟌㩆prop˛㭋㠯ⷙ㖣

㛯㗌告Ṳ㛪˛

ạ刅˚憴⤎䙣㠯ờƋ娷㬡˚䪱˚䔏⎱䛃岮䔉˚噂ẋ㗺˚怇ㅸ嬰⎱㛰⃠嬰

∟˚㔝㉊˚⤐䄝䁤⤘˚sub怇ㇷḲ⤘˚槔㔢㒱凮䪱岮㖀⎱㴐朙㥔⋀㩆⎱

岮㖀䬰憴⤎Ṳờƌㇽ㜑⟞堳䶔孞ⷌὃ凛䙣䔆Ṳ㔬䬰Ə⅝ῲ∌ㇽ姯

暂⤘急ṻỆ吓K俬Əㆰ朙⅝『峑⎱⤘憸栴Ɲ䄈˛

56

⅝ẽ䵺憸䮈㛪ㆰṯ朙ḲṲ柬Ɲ䄈˛

ṳ ⎱凚㗌㭉Ə傈㝘㛪⎱告Ṳ㛪Ḳ憴奨㱡字Ɲ

傈㝘㛪Ḳ憴奨㱡字 Ƌ凑㛯㗌凚㛯㗌㭉ƌ

告Ṳ㛪Ḳ憴奨㱡字 Ƌ凑㛯㗌凚㛯㗌㭉ƌ

匡ᵉ㗁㒣㗝⊈㧟悋堿㜆

䬓Ⱝ䬓⅒㬈告Ṳ㛪

态怵㜓堳䇆怲姯䕒㚏柷䭾

㠟₀㜓堳⦻Ợ䰤嬰㛪姯Ḳ㕛檻㛴⋀峑⎱䍏䪲『娼䴷㞃㚏㠟⅝ 慓

⎱乳Ợ

态怵㜓堳徍䏭䦨⋆䙣堳ṳṳỆṻ䙥吓傈Ḳ㙕态傈ṯ㖗supe㘆ⰼ执堳傈Ụ㛰昷⅓

⏟

态怵㜓堳㈦庱岟急㜆怼䳫憸䳢䵘姯䭾Ḳ㔠㖤凮䮈㖤

态怵㜓堳Ƌ⋬⅝暂憸坴㥔⋀堳ƌ徍䏭Ⅳ䇆凑堳岞峊㛰⃠嬰∟㥔⋀

态怵姩㜓堳 ⅎ惏䨤㠟姯䕒

态怵㜓堳凮洢㵞暭⎱暭Ḳ执堳栴乳䳫

态怵㜓堳凮㜓堳∐旃ᾩạ䳫Ḳ乳䳫

态怵姩㜓堳ㇽ嘼䏭岮䔉嘼䏭徍㲼

态怵㜓堳岮㜓㔖˚岢䔏㔖⎱択⸚㫱㔦䬽

态怵敲㜓堳䬓㬈傈㝘减㘩㛪⎱傈㝘㛪⎱䛟旃字䧲

䬓Ⱝ䬓Ṅ㬈Ƌ减㘩ƌ告Ṳ㛪

态怵壃恟㜓堳䬓Ⱝ告Ṳ敞

态怵㜓堳Ọ㮶傈杉栴K㖗凡䦨⋆䙣堳ṳṳỆṻ䙥吓傈Ḳ㙕态傈ṯ㖗supe

㘆ⰼ执堳傈Ụ㛰昷⅓⏟

佟㘯㗁㒣㗝⊈㧟悋堿㜆

䬓㬈傈㝘减㘩㛪

态怵㜓堳徍䏭䦨⋆䙣堳ṳṳỆṻ䙥吓傈Ḳ㙕态傈ṯ㖗supe㘆ⰼ执堳傈Ụ㛰昷⅓⏟

态怵㠟姩㜓堳䬓Ⱝ告Ṳ慓塏

傈㝘㛪

态怵壃恟㜓堳䍏䪲告Ṳ

态怵姩㜓堳ㇽ嘼岮䔉嘼䏭䧲

婴㜓堳岈⋀⎱䇆㥔㛟

婴㜓堳䚯棿愴塏

婴㜓堳

䉠∌傈傈㝘㛪

态怵姩㜓堳⅓⏟䫇䧲

䬓ṳ㬈傈㝘减㘩㛪


57


态怵㜓堳䔚媲ᾂỨ㥔怲䔏㕟ἴ⊼ㄲ䢣㖣曢⬷执堳怙堳䙢⎱ẋ㗺㫱

䬓Ⱝ䬓㬈告Ṳ㛪

态怵㜓堳䇆㥔㛟Ọ⎱岈⋀

态怵㜓堳䚯棿愴塏

态怵㜓堳执堳㥔⋀⎱Ⅳ䇆ῄ暑Ị䏭㥔⋀Ḳⅎ惏propprop娼䴷㞃⎱ⅎ惏

propprop偙㗵㛟Ọ⎱㳾按昙prop⎱㒱岮ⅎ惏propprop偙㗵㛟

态怵㜓堳岮姱娼䴷㞃㚏岮姱偙㗵㛟

态怵㜓堳 ⅓∮⟞堳ガḲ凑娼䴷㞃

忤婴㜓堳憸坴嘼梏暑昷栴

态怵㜓堳Ὲ䔏䒗Ὲ䔏∐ざ㺉㔝ṲờḲ㔠㖤凮䨤㠟嘼Ḳ奭㠟䴷㞃

态怵姩㜓堳ὃ㥔梏暑䮈䏭㔦䬽⎱偙孤梏暑䮈䏭㔦䬽

䬓Ⱝ䬓㬈

告Ṳ㛪

态怵㜓堳堳『㳾按⎱岮梏暑娼

态怵㜓堳 ⅎ惏䨤㠟姯䕒壃ℬ媑㗵

态怵㜓堳凮㜓堳旃ᾩạ㖗supe㘆ⰼ执堳⎱⅝堳凮⬷堳Ṳㇽ嘼岮䔉ẋ㗺

态怵姩㜓堳梏暑㛄暑昷栴

态怵㜓堳㛴Ḕ䳢䵘ὃ㥔⦻凚ṯ㜓堳Ḳ∐旃ᾩạ㖗supe㘆ⰼ执堳徍䏭

态怵姩㜓堳ⅎ惏prop⎱䨤㠟prop䮈䏭徍㲼

态怵姩㜓堳⊼䔉㔥㬥暭Ḕ䮈䏭徍㲼

态怵姩㜓堳˥Ứ㥔憸坴⤘㹽₀⇾⎱急㜆㔥㬥ₓ㔝㬥⸚嘼䏭徍㲼˦⎱˥㵯岢

憸坴⤘㹽₀⇾⎱急㜆㔥㬥ₓ㔝㬥⸚嘼䏭徍㲼˦

态怵姩㜓堳䴫主奶䧲

䬓Ⱝ䬓ṳ㬈Ƌ减㘩ƌ告Ṳ㛪


䬓Ⱝ䬓㬈

告Ṳ㛪

态怵姩㜓堳䍏䪲告Ṳ偞岓䮫䕮奶∮

态怵姩㜓堳㚏㴨⊼『梏暑⦻㛪㫱㛟


态怵㜓堳杅䇆㥔䔏徍⅓㈧Ḳ墨㒋

态怵姩㜓堳梏暑䮈䏭㔦䬽˚ẋ㗺䰦㔦䬽媑㗵⎱㴨⊼『梏暑䮈䏭㔦䬽

䬓Ⱝ䬓㬈

告Ṳ㛪

态怵㜓堳岈⋀

态怵㜓堳恜ⷛ峤䈥䬓ṳ㔖㟘䛊䏭㟌∮ㆰ䔚岮㖀

忤婴㜓堳 )(7$ 栴Ḳsupe

态怵姩㜓堳∐旃ᾩạῈ⎱ῈỌẋ㗺㹽∮

态怵㜓堳ῲạ㵯岢『岟㬥㔥㬥⃠㔦䬽Ḳ㪉好䴷㞃

态怵㜓堳Ứ㥔⎱㩆㦲执堳㔥㬥⃠㔦䬽㪉好䴷㞃

58


态怵姩㜓堳䙣堳㰟乳杅䴖䨴䉠∌傈Ḳ䙣堳㢄ờ㚏姩㜓堳⅓⏟䫇䧲⎱敲

䬓㬈傈㝘减㘩㛪⎱䉠∌傈傈㝘㛪

䬓Ⱝ䬓ṻ㬈

告Ṳ㛪

态怵憸䮈㛪㪉㟌Ⱗ㜓堳徍䏭憸坴㪉㟌Ḳ伡⤘㔠徍䏭㖠㠯

态怵姩㜓堳 ⅎ惏䨤㠟姯䕒㚏㠟㜓堳ⅎ惏䨤㠟姯䕒

态怵㜓堳凮㖗supe㘆ⰼ执堳乳䰤暭ⅎ惏㛴⋀䳫

态怵㜓堳㥇㡺堳Ḳ墨㒋

忤婴㜓堳㴨⊼『梏暑昷栴

忤婴㜓堳梏暑栴Ḳsupe

态怵㜓堳䔉㥔Ὲ昷栴凮柷孍Ḳ㜆㪉好䴷㞃

态怵姩㜓堳昙prop㳾按⎱㒱岮㨀㹽

态怵姩㜓堳岮㹽∮

态怵姩㜓堳場䔆『憸坴䵺䇆䬽䕌⎱ὃ㥔㹽∮

态怵姩㜓堳徍䏭ῄ暑㥔⋀㔓嘼䏭prop㔦䬽

䬓Ⱝ䬓⅔㬈Ƌ减㘩ƌ告Ṳ㛪

䟌ば㜓堳倿Ợ䨤㠟嘼Ḣ䮈㚏两䨤㠟媑㗵

䬓Ⱝ䬓㬈

告Ṳ㛪


态怵㜓堳乳倿岮媇偖㛪姯Ṳ⋀㈧䂡㜓堳Ḳ䰤嬰㛪姯⎱⅝ Ḳ㛴⋀

慓

态怵憸䮈㛪㪉㟌Ⱗ㜓堳徍䏭憸坴㪉㟌Ḳ媦㕛伡⤘㔠徍䏭㖠㠯

态怵㜓堳ṯ洢㵞暭执堳栴Ḳ乳䳫

态怵㜓堳凮㖗supe㘆ⰼ执堳⋾⅓⏟乳䰤暭ⅎ惏㛴⋀䳫

忤婴㜓堳㖗梏暑䟐晊昷栴Ọ⎱K⤎檿傈ざ嬰∟岮Ὲ姾⟡憸 Ƌ(7)ƌ昷栴

态怵㜓堳ⱋ㫱塏

态怵㜓堳Ὲ䔏梏暑⦻㛪偞岓䮫

态怵㜓堳ὃ㥔梏暑⦻㛪偞岓䮫

态怵㜓堳䴫主奶䧲

态怵㜓堳⦻ὃ㥔㹽∮

态怵敲㜓堳傈㝘㛪⎱䛟旃字䧲

䬓Ⱝ䬓⅒㬈

告Ṳ㛪

态怵㜓堳岈⋀⎱䇆㥔㛟


态怵㜓堳 ⅎ惏prop偙㗵㛟

态怵㜓堳㳾按昙prop⎱㒱岮ⅎ惏propprop偙㗵㛟


忤婴㜓堳凮∐旃ᾩạ㖗supe㘆ⰼ执堳Ⱈ喑岮ὃ㥔⦻䳫Ḳ乳䳫

59


忤婴⎱态怵㜓堳凮∐旃ᾩạ㖗supe㘆ⰼ执堳Ⱈⷛ峤䈥岮㜓恐嶚䍮䳢䵘

)HUPDW⦻䳫Ḳ乳䳫

态怵㜓堳凮㘆ⰼ执堳Ƌ榀㸖ƌ㛰昷⅓⏟乳䰤暭ⅎ惏㛴⋀䳫

态怵憸䮈㛪㜓堳ⅎ惏䨤㠟ⷌὃ娼䴷㞃


⎱凚㗌㭉Ə告Ṳ告Ṳ㛪态怵憴奨㱡字㛰ヶ奲㛰䳧拫ㇽ㛟杉偙㗵俬Ə⅝Ḣ奨ⅎƝ䄈˛

⎱凚㗌㭉Ə执堳㛰旃ạƋ⋬告Ṳ敞˚两䵺䏭˚岈⋀Ḣ䮈˚㛪姯Ḣ䮈˚ⅎ惏䨤㠟Ḣ䮈⎱⅓⏟㲢䏭Ḣ䮈䬰ƌ徔偞姊Ợガ两Ɲ

㛯㗌

伵䣯 ⋋ ᶹ㒣㗝墡ᶹ㒣㗝幫伵ピ墡ᶹ≝

告Ṳ敞䍲敲㹷 Ⱝ潈忧Ỹ

两䨤㠟㝾permil峉弰Ợ⅝ẽ偞⋀

60

ᵒƱ 㗁壆孹宅壈濣

㛪姯岮姱Ɲ

ṳ 㛪姯⅓岢岮姱⎱䴁巄ƝἴƝ㖗凡ỆK

㗁壆ᵉヾ⋋䣯㗁壆⋋ 㚣㛶㗝摑 ὗ 壹

岮媇偖㛪姯Ṳ⋀㈧ permil凡㝾䶔䐑

孹曃䖬

悏朋䯘岛 ⪧壆孹昜⪧壆孹 ⋆ 壆

ἵ㖣 ỆK

ỆKƋƌǡ ỆK

ỆKƋƌǡ ỆK

ỆKƋƌǡ ỆK

9

ỆKƋƌǡ ỆK

ỆKƋƌỌ 9 9

㗁壆

ᵉヾ

⋋䣯

㗁壆

⋋

⪧壆

孹

昜⪧壆孹濑壹濒㗁壆

㚣㛶㗝

摑

ὗ 壹ⵤ

士壆

ⲣ

䔹壖

ᵸ⅙

宅㵎 ᶔ ⫍壆

岮媇偖㛪

姯Ṳ⋀㈧

permil凡

娢 Ɲ杅姯⅓岢Ḳ㛴⋀ⅎḢ奨

ᾩ

ⅎ惏propprop字䧲ƞ

ῲạ岮㖀ῄ孞㠯㟌㠟ƞ

昙prop㳾按⎱㒱岮㩆prop

㠯㟌㠟ƞ

岮姱娼ƞỌ⎱

䧬⋀堳㔦㔸㿆˛

㝾䶔䐑

61

Ʊ 㖲㗁壆宅壈䄈˛

Ʊ 匡ᵉ搵Ʊ䳻䱑䋄Ʊ孞孪孟ピ㗁壆ᵉᴉ䱑䋄ᵸ濕㖾序Ჾⴲ㖼ᶹ伵㑺䫻娇㗁壆ヾᵉヾピ撚Ẁᶿ㠫ᴉ旰宅壈濣䄈˛

Ʊ ⴲⵤ⊈ヨ傱ⴲ∮㒣㨠濕匡ᵉƱ䱑䋄ᵸ⊈ṛ⋊Ჾᵸピ⋊Ჾ撚Ẁᵸ㗇⋊Ჾ愾圊Ⲱ䔺圊㗇圦㬸㧈佟ᶻ䳻㐶屃弌Ჾ⩘㪒䉅䩟䋄幤㮓䧪⇿Ჾ㝛塍⩘ょ䏱佟㧈仃ᴉ撚Ẁ⊈ヾ⊔ピ宨ㅺ佟㐶婈darr⸠濣

傈㫱孱⊼ガƝ䄈 Ƌ娢 ƌ˛

ṳ 傈㫱䧢弰岮姱Ɲ䄈 Ƌ娢 ƌ˛

傈㫱峑岮姱Ɲ䄈 Ƌ娢 ƌ˛

娢Ɲ㜓堳ⷙ䙣堳㛰塏㱡㫱Ḳ㙕态傈䔘㘆ⰼ执堳㈧㛰Ə㜓堳Ḳ告Ṳ⎱䵺䏭ạḍ䄈㛰㜓堳Ḳ傈Ụ˛

ᴛƱ 佟㪒ṉinfinℋ⇿⋋ᴉ佟㘯濕䖶ᵐ摑㽸撚Ẁᵸピ㽸怋ἴƱᵊ䨇塨ᶣᴉ塨撚Ẁᴉ宅壈濣

㜓堳㙕态傈Ḳ㲼ạ傈㝘㘆ⰼ执堳Ə⅝㙕态傈䔘㜓堳䉠∌傈Ḳ㲼ạ傈㝘㖗supe㘆ⰼ暭傈㛰昷⅓⏟㈧㛰˛

⇿Ʊ 愾圊Ʊ愾圊ᴉ匡ᵉƱ䳻䱑䋄Ʊℭ䳻䱑䋄Ʊminus䋄Ʊ⋂徦搾⊈㤝㢉䩟⊈愾圊䖲ピ摑ᴉᵉ㠫⫋⋊Ჾ帇ㅓ宅ᵉ㠫ᴉ佟㐶濕⋆ḳ壆䩕䱚⋆佟㪒ṉ濣

ἴƝ傈ƞƈ

帇ㅓ宅ᵉ㠫

濑壹濒

㗪圊ㅓ宅

匡ᵉƱ䳻䱑䋄Ʊℭ䳻䱑䋄Ʊminus䋄Ʊ

⋂徦搾⊈㤝㢉䩟⊈愾圊䖲

ピ摑ᵉ㠫ᴉㅓ宅

䱚⋆ㅓ宅

佟㐶佟㪒ṉ 佟㐶佟㪒ṉ 佟㐶佟㪒ṉ

⋾䵺䳧Ƌ傈ƌ⅓⏟

sub≜㥔岮Ƌ傈ƌ⅓⏟

岈憸岮姱Ƌ傈ƌ⅓⏟

晤ℰ岮䔉䮈䏭Ƌ傈ƌ⅓⏟

凡䁊堳⊼㔖ếƋ傈ƌ⅓⏟

娢Ɲᾩᾄ执堳㲼䬓㢄㈧䂡Ḳ岮˛

62

佄Ʊ宅⸠

63

佄Ʊ宅⸠

ᲾƱ 宅㗪⊈佟ᶻ濣

傈㜓Ὥ㹷ƝἴƝỆ傈ƞỆK

ⴲ 㗆䔺圊

ᾷ㛺

㛶⩘佟㗪 ⪤佟㗪 ὗ壹

佟㐶悏朋佟㐶悏朋佟㗪

Ṅ㵎ᶔ

䏥憸㥔䵺䵺㿆惏㛯㗌

㠟ḍㇷ⅓⏟娔䪲䙢姿

䵺⬾䬓

噆ƌ

䦨⋆䙣堳㙕态傈

Ệ傈

娢

㥔䵺䵺㿆惏㛯㗌

㠟ḍㇷ岮䙢姿䵺

䬓噆

䦨⋆䙣堳䉠∌傈

Ệ傈

娢



䬓噆


Ệ傈

娢

㥔䵺䵺㿆惏㛯

㗌㠟ḍㇷ岮䙢姿䵺

䬓噆

娢 Ɲ㯸㛯㗌岮䦨⋆䙣堳㖗傈 Ệ傈ṯ㘆ⰼ执堳Ə䔏Ọ≙孺㘆ⰼ执堳⋾堳Ḳ惏岮䔉˚

岇ₜ⎱䇆㥔˛

娢 Ɲ㯸㛯㗌岮䦨⋆䙣堳䉠∌傈 Ệ傈ṯ㖗supe㘆ⰼ暭傈㛰昷⅓⏟Ƌ㠟⬾噆Ɲ㯸

㛯㗌憸䮈执⬾䬓噆ƌ˛

娢 Ɲ㯸㛯㗌岮䦨⋆䙣堳㙕态傈 Ệ傈ṯ㘆ⰼ执堳Ƌ㠟⬾噆Ɲ㯸㛯㗌憸䮈执

⬾䬓噆ƌ˛

ἴƝỆ傈

佟ᶻ䣬朜㛶⩘佟㗪

ὗ壹㯿廘⟔佟ᶻ 㗨䔺圊佟ᶻ ⋆壆

㙕态傈杅ⱓㇽ㪪岞峊

䉠∌傈

ṳ 傈㝘䴷㦲Ɲ

⟡㹽㗌Ɲ 㛯㗌 ἴƝỆ傈

佟㘯䰎㢉

㐶悍ⵚ㤝㢉悏噋㤝㢉 ᶔ㮓ᵸ ỉᵸ

⟔㤝㢉⊈⟔

ᵸ⋆ 壆

ᵸ 㐶

㗇佟㐶

佟㪒 ṉ

64

傈㫱㕊ガƝ

㙕态傈

⟡㹽㗌Ɲ 㛯㗌㮶傈杉栴 K

佟䯘佟㘯 ᵸ 㐶㗇佟㐶濑ᶝ佟濒佟㪒 ṉ

ᶣ

⋆ 壆

䉠∌傈



傱

⋆ 壆

Ḣ奨傈㝘Ɲ


佟 ᶻ

堿佟㘯⋋䣯㗇佟㐶佟㪒 ṉ

㘆ⰼ执堳


6URXS+ROGLQJVWG

ṻ 㛧徸ṳ㮶傈⃠˚㷏˚䚯棿˚傈∐⎱䛟旃岮㖀Ɲ

ⴲ ⵤ

曃䖬 ⴲ ⴲ

㪍佟

Ⳁᾷ

濑壹濒

㖾榖

㖾 Ḍ

ⴱ

㪍佟

㲦Ỻ

濑壹濒

怋ℋ濑㑮傸ⴡ 濒

怋濑㑮傸ⴡ 濒 Ƌ娢 ƌ

㪍佟

䖆柖

濑壹壹濒

⅞㧈ⴱ佟㐶濑ᶝ佟濒



65

ⴲ ⵤ

曃䖬 ⴲ ⴲ

㪍佟

佟

䊼悏佟

㿟῝

怋佟

䖆柖怋佟

宅㗪䤋怋佟

䯭䤋㗨ᶖ佟

ㅓ宅

怪㙎

㗪䖈㪒

㗪㪒

䊼悏佟㩔䉅

娢 Ɲ㜓堳杅ㇽ㪪ẋ㗺⅓⏟Ə䄈⅓敲⃠⎪俪Ə㔬恐䔏˛

娢 Ɲᾩ姯䭾㙕态傈䙫㮶傈㷏⎱㮶傈䚯棿˛

娢 Ɲ㮶傈㷏Ƌ愴ƌᾩᾄ告Ṳ㛪㱡字态怵Ḳ䚯棿愴㠯Ḳ㷏姯䭾ƏⰁ 傈㝘㛪婴˛

娢 Ɲ㮶傈䚯棿㜑⋬㭟ⱓ㖣⅘propthere4㫱䚱Ḳ䕝㜆䚱˛

娢 Ɲ㮶傈䚯棿Ƌ愴ƌᾩᾄ告Ṳ㛪㱡字态怵Ḳ䚯棿愴㠯Ḳ䕝㜆䚱姯䭾ƏⰁ 傈㝘㛪态怵˛

⅔ 傈∐㔦䬽⎱⟞堳䊧㲨Ɲ

傈炯㔦䬽

㜓堳ᾄ㓁⅓⏟䫇䧲奶Ə两㱡䭾⥩㛰䚯棿Əㆰℯᾄ㲼䳴䧬Ə壃Ọthere4噎Ə

ⅴᾄ㲼⇾䙥Ḳ䂡㲼䚯棿⅓䨴⎱ᾄ㲼ị⇾ㇽ忛弰䉠∌䚯棿⅓䨴Ə⥩Ⰱ㛰䚯棿㜆∄

㜑愴䚯棿Ə䂡ᾂ愴Ḳ䚯棿䔘告Ṳ㛪㓓䚯棿愴㠯Ə媲傈㝘㛪㱡字Ḳ˛

㜓㬈傈㝘㛪㓓字傈∐愴Ḳガ

㜓堳㯸㜆∄㜑愴䚯棿䂡㖗凡 KƏsupe姯䢡䥶∐姯䕒Ḳⅴ塈憶㕟Ƌ䧬

ƌ㖗凡 KƏsupe姯忤㺖恐䔏㖗㹽∮Ḳ柦㕟㖗凡 KƏsupe姯䧬䳻䚱

䂡㖗凡 KƏ㉊晋㒌㲼䚯棿⅓䨴㖗凡 KƏᾂ愴䚯

棿䂡㖗凡 K˛㯸㛯㗌䵺告Ṳ㛪㱡字态怵㴥䉠∌傈䏥憸傈ざ㖗

凡 K⎱㴥㙕态傈傈∐Əḍ媲傈㝘㛪㱡字愴Ƌƌ

㜓㬈傈㝘㛪㓓字Ḳ䄈愴傈执堳䇆㥔严㔯⎱㮶傈䚯棿Ḳ柦Ɲ䄈˛

⅒ ⷌ慓sdot⎱告Ṳ慓sdotƝ

㜓堳䫇䧲㈧廰ⷌ慓sdot⎱告Ṳ˚䛊ạ慓sdotḲㇷ㕟ㇽ䮫Ɲ㜓堳ᾄ䅎⅓⏟䫇䧲奶Əⷚ䍙

∐ガ㲨㒌䂡ⷌ慓sdot˛㈧嫩䍙∐ᾩ䧬there4∐䚱㉊晋㴥ⷌ慓sdotthere4Ḳ∐䚱˛

㜓㜆⇾ⷌ慓sdot⎱告Ṳ慓sdot憸栴Ḳ⇾⟡䣵˚Ọ傈䥏㴥Ḳⷌ慓sdotḲ傈㕟姯䭾⟡䣵⎱

暂㴥憸栴勌凮⇾㕟㛰ⷕ䕗㘩Ḳ㛪姯嘼䏭Ɲ㜓堳⇾Ḳⷌ⎱告Ṳ慓sdot凮暂㴥憸栴ḍ

䄈ⷕ䕗˛

66

告Ṳ㛪态怵Ḳ㴥慓sdotガƝᾄ㓁㜓堳Ḳ⅓⏟䫇䧲䬓ṳ㢄奶ƏㆰⰘ䕝䍙∐㒌凚

䂡ⷌ慓sdot˛㜓堳告Ṳ㛪㖣㛯㗌ᾄ㓁䧬there4㷏∐Ḳ 㠟

态怵㒌㖗凡 K䂡ⷌ慓sdotƏ⅝Ḕ㴥䵺䏭ạḲⷌ慓sdot䂡㖗凡 K˛

there4ⷌ慓sdot⎱告Ṳ慓sdotḲ暂愴䙣ガƋ⋬愴䙣傈㕟˚憸栴⎱傈⃠ƌ ⅝凮婴⇾ⷌ

⎱告Ṳ慓sdot㛰ⷕ䕗俬ḍㆰ㔿㗵ⷕ䕗㕟˚⎱嘼䏭ガƝ䄈˛

Ṅ 执堳岞㜓堳傈ỤƝ䄈˛

67

ᵊƱ 悏噋έ䔺圊⸠Ɲ

悏噋 έ 䣬朜 ⴲⵤ䧪㗝㿟ẛ乌壆ᾷ

搵㗝㧟曄ḋ悏噋έ

ᳫ ⟬ 䩟㤝撚㛶 ₄ 㒣㗝 Ʊ 㑅唝㛯㗌

憸䮈执⬾䬓噆

䔺圊㒣㗝㯸㛯㗌

映朋併憸K

䔺圊 ⊈ ᵢ 㓑涜 Ḕ取㯸

ⴡ ⃣ 併憸

䔺圊 ᾷ 㛺 K

䳻朋併憸K

䉅 ῲ㛯㜆‒㕍㥔㔥∐䍮

㗝攎

oplus ῝ 曄 ḋ 㬈柭ἴ憸坴ₜ∟

ẛ 娇㤝㢉䄈

oplus 壕 ᵸ 䄈

ㄽ 慵㤝㢉䄈

䫻娇䄈

䫻娇㗁壆 ᾖ㥔偖㛪姯Ṳ⋀㈧

㛪姯Ɲ䍲⊮⋄

䫻娇悏噋㤝㢉䄈

῝ 彂㑷㮓 ∐ざ㮶⭊姯ếざ㬈Əlowast㜆㬈恫㜓

㗨 ῝ 彂柖朋併憸K

ℋ Ჾ ⴲ ⵤ ⪤ 宅㗪朋㖗凡 ỆK

ℋ Ჾ ⴲ ⵤ 㬸䩕㲦 Ỻ 㖗凡 ỆK

䯂 ⸠ 㭊

寔ピ ℋ

㳃 ῝ ᴉ 㝛㧼

㜓ₜ∟䙣堳Ⱝ㻦 Ə䬍⇾㢄ờḲƏ䵺Ḣ䮈㩆旃Ṳthere4㠟there4

Ə㜓堳Ọ ⃠㠣supeㆰ姯∐ざ⟞堳岞㫱Ƌ勌怮䇆㬈凚柭∮㗌

㥔㗌ƏỌ怵㛯䂡∮ƌƞ勌䙣堳㜆敺㜑⟞堳岞㫱Ə∮㖣lowast㜆㗌㬈徻恫

㜓憸supeㆰ姯∐ざ˛

D 姯䭾there4峽㜓堳凑㛰岮㜓凮梏暑『岮䔉Ḳ㮻䍮Ẵ䬍˥执堳岮㜓恐

嶚『⎱岮㜓䬰䴁䮈䏭徍㲼䬓˦ṻ㢄䬓柬Ƌ⎱⅝Ḳ姩ƌ奶Ḳ㛧ἵ㮻䍮

E Ọ䬰ㇽ㛛檿峑Ḳ岮㜓ⷌ⅞㛦岮㜓ⷌ⅞˛

㜓堳勌㬙堳ὦthere4峽㫱Ə㖣柷峽㗌there4 ῲ䇆㥔㗌态䟌岮ạƏ

杉栴supe姯ㆰế∐ざƏ㕟峽Ə⥩凮Ḣ䮈㩆旃㠟㢄ờƏ∮ᾄḢ䮈㩆旃

㠟㢄ờ䂡㹽˛

68

悏噋 έ 䣬朜 ⴲⵤ䧪㗝㿟ẛ乌

壆ᾷ搵㗝㧟曄ḋ悏噋έ

帇 ⊈ ᵢ 㝛 ᶴ 䄈

攎㝛㧼

㜓ₜ∟䂡㬈柭ἴ憸坴ₜ∟Ə㜓ₜ∟㛰ạḲ柭ἴ㬈㖣㜓堳㈧㛰⬿㬥ạ⎱

⅝ẽₜ㫱ạƋḢ柭ἴₜ∟Ḳ㛰ạƌ テ㜓堳䙣䔆䵺Ḣ䮈㩆旃㴥䮈˚⊹

ị㥔㷬䏭˚㷬䭾㘩Əₜ∟㛰ạⰘ㜓ₜ∟⎱⅝∐ざḲ㷬柭ἴ凮㜓堳㙕态

傈傈㝘䛟˛

䙣堳㢄ờ䄈image㖣桅屈㜓㬈䙣堳∐䍮ᾩ⎪俪䳫䕝㘆ⰼ暭䙣堳㬈柭

ἴₜ∟Ḳ∐䍮㰛㹽⎱䙣堳㘩Ḳ䊧㲨䂡Ḳ˛

宅悏弉䏦壆䐩 supe岮㜓䴷㦲Ə檿执堳岮㜓恐嶚䍮ḍ㔖ㆰḔ敞㜆岮憸曧㰩˛

䏱䔺圊悏朋⅞壆ℋⲰ䔺圊㯿廘⟔

ᴉ柖朋infin䔺圊ℋᲾⴲⵤ㬸䩕㲦Ỻᴉ

㪒䉅濑濎濒

㓭⋤壆⋆㛺储㗇宅㗪⊈朜⃣ 䬓ṳ桅岮㜓

ẟ䏦夓䨇㤝㢉⋋䣯Ʊ夓䨇㒣㗝⊈夓䨇

䨇䯘

䄈

69

Ʊ 䄷⃣佟幤䋄⸠Ɲ

䉠∌傈岮㖀Ɲ

䔺圊濑幤䋄濒㒣㗝

曃䖬

㛯㗌

䦨⋆㰟乳杅䴖䨴䔙䨕䉠∌傈

映朋㖗凡Ƌ17ƌK㕛

䔺圊 ᾷ 㛺㖗凡Ƌ17ƌK㕛

佟㐶傈

䳻朋㖗凡Ƌ17ƌK㕛

㧈乧ᵉ曃

佟⊈䯃ᴉ㯼

㜓堳㱡䭾㛰䚯棿㘩Ə晋ᾄ㲼乚䳴䧬Əㆰℯ壃Ọ噎Əᾄ㜓

堳⅓⏟䫇䧲奶⇾㲼䚯棿⅓䨴⎱ᾄ㲼ịㆰ⇾Ḳ䉠∌䚯棿⅓䨴Ə㖣䬍㜓

㢄䬓柬⎱䬓柬Ḳthere4Əimageℯ䙣㔥䔙䨕䉠∌傈傈ざƏⅴ䙣㔥㙕态傈傈∐

㜓䉠∌傈䂡杅䴖䨴䉠∌傈Ə⅝傈ざ䂡ざ䍮 ƈƋ䨘˥傈ざ䍮 ƌ˦Ə

ᾄ㮶傈䙣烚⃠㠣姯䭾Ə㖣䬍志䬓Ƌƌ柬˚䬓Ƌƌ柬⎱䬓Ƌƌ柬Ḳthere4Ə

㮶Ọ䏥憸㖠㬈䙣䵍˛㜓堳傈㝘㛪㖣㘖䙣㔥䉠∌傈傈ざṲ⅞㛰墨

憶㫱Ə㗍㜓堳傈㝘㛪㱡字㴥䉠∌傈傈ざƏ㜓堳ㆰ㖣㜓堳傈㝘㛪㱡字

ῲ㛯ⅎ䙣㔥䉠∌傈傈ざ˛䉠∌傈灠烓傈ざḲ晋ざ⟡㹽㗌㫱告Ṳ㛪姩Ḳƞ

㜓䉠∌傈傈ざḲ姯䭾㜆敺Ƌ䨘˥傈ざ㜆敺˦㖣䙣堳ㆰỌ䙣堳㗌䂡⦲㗌Ə

䕝㛯㗌䂡㜒㗌ƞlozḲ傈ざ㜆敺∮ㆰ凑㮶㛯㗌䂡⦲

㗌Ə婙㛯㗌䂡㜒㗌Ƌ峽∮ㆰỌ峽㜓䉠∌傈䕝㗌Ḳthere4㗌

䂡㜒㗌ƌ ㆰ䙣㔥Ḳ㜓䉠∌傈傈ざḲ姯䭾ㆰᾄ⇾⅓姯䭾Ɲ

Dℯ㮶傈䙣堳⃠㠣ḿỌ傈ざ䍮ƞ

Eⅴ䛟旃傈ざ㜆敺Ḳ暂㗌㕟晋Ọ婙Ḳ两㚭㗌Əḿ䬓ƋDƌ

柬㕟栴Ḳ两栴˛

㜓堳䄈䚯棿㜑䙣㔥㙕态傈傈ざƋ䏥憸⎱傈䥏傈ざƌ㘩Ə愴㜓

䉠∌傈傈ざƏ㜓柬Ṳ䔘俳ṯ㔖ếḲ㜓䉠∌傈傈ざ䴖䨴ㇽ恅˛

㔖ế㜓䉠∌傈傈ざ㚏㓓㔖ếḲ⅝ẽ䬓桅岮㜓ₜ⋀Ḳ傈ざ两栴凛㜓

堳凑㛰岮㜓凮梏暑『岮䔉Ḳ㮻䍮㜑总执堳岮㜓恐嶚『⎱岮㜓䬰䴁䮈䏭徍㲼Ƌ䏥

堳ㇽ⅝Ḳ㭊ƌ㈧奶Ḳ㛧ἵ㮻䍮㘩Ə㜓堳ㆰ恅㔖ế㜓䉠∌傈傈ざƏ㈧恅

Ḳ傈ざⅴsupe姯∐ざ˛

丘㛰志䬓ƋƌƋƌ⎱Ƌƌ柬Ḳ奶Ə㜓堳㖠杉㱡ḍ㘖㴥㜓

䉠∌傈傈ざ˛㜓堳㱡㴥㜓䉠∌傈傈ざ㘩Ə∮䄈䉠∌傈傈ざⷙlowast㜆ㇽㆰ

㔖ếƏ㭋Ṳ䔘俳ṯ㔖ếḲ傈ざẍ䴖䨴ㇽ恅˛

㜓䉠∌傈傈㝘晋ᾄ志䬓Ƌƌ柬奶Ḳ傈ざ䍮柿傈ざƋ曧䬍志䬓Ƌƌ

柬˚䬓Ƌƌ柬⎱䬓Ƌƌ柬Ḳthere4ƌƏ䄈⅝ẽ∐䍮supe䢣㢄ờƏ瀹瀽凮㙕

态傈旃㖣䚯棿⎱岮㜓⅓䨴䂡䏥濜⎱㒌ℬ岮㜓Ḳ㴥˛

㜓䉠∌傈傈ざḲ㔖ế㛪暏㜓堳Ὲ䔏䊧㲨孱⊼˛

柖孟䏠ᴉ㯼

㜓䉠∌傈Ⱈ㜓堳≐棿岈䔉㴥Ḳ柭ἴ㬈㖣㜓堳䬓ṳ桅岮㜓ⷌ⅞Ḳ㛰ạ˚

⬿㬥ạ⎱⅝ẽ刓ₜ㫱ạ˛㜓䉠∌傈凮⅝ẽ䬓桅岮㜓ₜ⋀Ḳ柭ἴ䛟˛

㜓堳䙣䔆䵺Ḣ䮈㩆旃㴥䮈˚⊹ị㥔㷬䏭˚㷬䭾ḲガṲ㘩Ə㜓䉠∌傈傈

㝘Ḳ㷬柭ἴ凮㜓堳㙕态傈傈㝘䛟˛

㜓堳㛪ᾂῄ嬰ㇽ㒻ῄㇽ⅝ẽƏẍ㛪䢡ῄ㜓堳ḲỢἼ旃ᾩỨ㥔㛪

ᾂῄ嬰ㇽ㒻ῄㇽ⅝ẽƏỌ怙㜓䉠∌傈傈㝘Ḳ柭ἴ˛

圦㬸㧈ᴉ圊ḽ

㜓䉠∌傈傈㝘㖣㜓堳傈㝘㛪Ḳ柬字㠯Ƌ⋬Ἥ昷㖣恟Ợ告䛊Ḳ字㠯ƌƏ䄈塏㱡

㫱ẍ䄈恟凰㫱ƏἭ㖣㜓䉠∌傈傈㝘㛪⎱旃ᾩ㜓䉠∌傈傈㝘㫱∐Ṳ柬Ḳ傈㝘㛪㛰塏㱡

㫱˛䂡ℴ䕸侐Ə㜓䉠∌傈傈㝘Ⱈ㜓䉠∌傈Ḳ峽⎱㜓䉠∌傈傈ざ䙣㔥ḍ䄈塏㱡㫱

70


曃䖬

㛯㗌


㯿廘⟔䄷⃣佟

ᶔ㜓䉠∌傈ᾄㇸ执堳㲼⎱执堳岮㜓恐嶚『⎱岮㜓䬰䴁䮈䏭徍㲼奶Ƌ䏥堳ㇽ⅝Ḳ

㭊ƌḲ侐Ə好䂡㜓堳杅㙕态傈㫱䚱Ḳ⅝ẽ䬓桅岮㜓˛

ピ帇㐶朋䄈

㗨ピ帇柖朋㖗凡Ƌ17ƌK㕛

ピ帇㝛㧼

㜓䉠∌傈瀹弰䂡㙕态傈˛

㜓䉠∌傈䂡䄈柷峽㗌Ḳ㰟乳䉠∌傈˛

㜓䉠∌傈傈㝘ḍ䄈奨㰩㜓堳㔝⅝㈧㛰Ḳ䉠∌傈Ḳ㫱炯˛

㜓堳ᾄ⅝㱡Ə㖣䙣堳㗌Ƌƌ㻦Ə勌㜓堳姯䭾峽㜓堳凑㛰岮㜓

凮梏暑『岮䔉Ḳ㮻䍮䬍执堳岮㜓恐嶚『⎱岮㜓䬰䴁䮈䏭徍㲼Ƌ䏥堳ㇽ⅝Ḳ

㭊ƌ㈧Ḳ㛧ἵ奨㰩Əḍ䵺Ḣ䮈㩆旃㠟ƏỌ㜓䉠∌傈⦲䙣堳⃠㠣

there4峽㜓䉠∌傈Ƌ䨘˥峽⃠㠣 ƌ˦ƞ㖣䬍敲there4Ə㜓堳ḍㆰ㖣柷峽

㗌there4 㗌态䟌㜓䉠∌傈傈㝘敲峽⃠㠣Ə㜓䉠∌傈there4㕟峽Ƌ

惏峽ƌ

㜓堳ᾄ㜓䙣堳徍㲼峽㜓䉠∌傈㘩Ə㜓䉠∌傈ᾄ㜓䙣堳徍㲼㈧姯䭾Ḳ傈ざƋ

㖣峽㛯㗌嵞䭾凚峽㗌there4㗌㭉㈧䔉䔆ㇽ⅝ẽ恅ἭⰁ㜑㔖ếḲ傈

ざƋ⥩㛰ƌƌƏㆰ㖣lozḲ㜓堳傈㝘㛪㱡字Ə㖠㔖ếṯ峽㘩㛰㜓䉠∌傈Ḳ

ạ˛䂡ℴ䕸侐Ə㜓堳ᾄ㜓䙣堳徍㲼奶㖠杉㱡愴㜓䉠∌傈傈ざ㘩Ə

㭋Ṳ䔘俳ṯ㔖ếḲ傈ざƏ㜓堳ẍ䄈侐⋀㖣傈㝘㛪婴䛟旃岈⋀塏

㔖ế˛

晋志㜓䙣堳徍㲼㈧廰ガƏ㜓堳䄈㫱峽㜓䉠∌傈Ə䄈侐⋀Ⱈ㜓䉠∌傈

Ḳ㜓憸䂡ỢἼ䛟旃䵍ế˛

㪍佟Ⳁᾷ

ⴲ

㖾榖

恐䔏

㖾 Ḍ

ⴱ

ⴲ

㖾榖

㖾 Ḍ

ⴱ

ⴲ

㖾榖

㖾 Ḍ

ⴱ

䐴ⴲⵤヨ傱 ⴲ 㗆

㒣

㖾榖

㖾 Ḍ

ⴱ

攂ᶔ㧈

ヨ傱ⴲ∮㒣㨠

Ⲱ帇ピ奋佟悏朋䄈

䔺圊⊈帇ピ奋佟

幤㮓

䄈

䄈

䄈

䔺圊㝛ᶴ⫋䄷⃣佟佟㘯㧈䖈ⸯ暽Ʊ佟㧈

⊭侻䢾悉⸠⊈⫋䊼㗇佟㘯㧈䖈ⸯ暽䄈

寔䄷⃣佟⫋储㗇宅㗪僅杦敨宅䏠㪒

䉅ᴉⸯ暽䄈

ṳ 昫婴傈㫱䉠∌傈岮㖀Ɲ䄈˛

71

Ʊ 㰵⟔⨖壕く娇幤䋄⸠濣䄈Ʋ

ᵒƱ ⎟ⲣ奋佟㧈く娇幤䋄⸠Ɲ䄈˛

Ʊ 攎⎟ⲣ㧈㑮佟幤䋄⸠Ɲ䄈˛

Ʊ ḳ宺ピoplus婑ᶔ悏噋㤝㢉濣䄈˛

Ʊ 宅悏弉䏦壆䐩圊⸠濣

姯䕒ⅎƝ

䂡ℬ䇆怲岮憸Ə檿凑㛰岮㜓ƏỌ⎱⋽岈⋀䴷㦲˛

ṳ ⟞堳ガƝ

there4㬈䙣堳憸坴ₜ∟ガ⎱䦨⋆㛰⃠嬰∟ガƏ媲⎪䅎㜓˥偭˚⋆岮ガ˦Ḳ˥ṳ˚憸

坴ₜ∟䙣堳ガ˦⎱˥˚䉠∌傈徍䏭ガ˦

there4㬈䙣堳ㇽ䦨⋆㛰⃠嬰∟Ⰱ㜑ㇷㇽ㛧徸ⅎⷙㇷ姯䕒㔯䚱Ⰱ㜑桖䏥俬Ɲ䄈㭋ガ

媲⎪斘㜓˥晟˚岈⋀㥩㲨˦Ḳ˥ṳ˚㛧徸ṻ岈⋀㝷˦Ḳ岈⋀㝷⎱岮㜓恐嶚『岮

㖀Ḳ孱⊼ガ˛

72

Ʊ䂝弉㡀㭿

73

Ʊ䂝弉㡀㭿

ᲾƱ 㠫⩷濣

㥔⋀∌䵺䇆ḲḢ奨㥔⋀Ɲ

ῲạ憸坴㥔⋀

喰䔘㘆ⰼ执堳ẅ⤑憸坴䙫㠠⟡Ə懄ῲạ˚˥ 㘆ⰼ尷䛂䏭岈˦⎱˥㘆ⰼ尷䛂䦨ạ ˦ Ḳ曧㰩Əᾂ㖠ἴ憸坴⎱岈䮈䏭㛴⋀Əⅎ㶜咲䨕⬿㬥˚岮˚ῄ暑˚岟㬥˚Ὲ䔏䬰憸坴䔉㥔⋀˛

Ứ㥔憸坴㥔⋀

Ứ㥔⎱㩆㦲执堳嘼ỌỨ㥔凮憸坴㩆㦲䂡Ḣ奨㛴⋀屈Əᾂ㳂㕛Ḳ憸坴㛴⋀Ə⋬坴岮㛴⋀Ƌ刓坴岮˚偖岟㬥⎱ㆰ㔝⸚㬥坴岮䬰ƌ 䇆怲⸚⎱岮濜䮈炶˚岦㗺憸坴㥔⋀˚㛴⋀Ọ⎱䬽䕌嫕婉凮奶≪䬰㥔⋀˛

ṳ ㈧䇆Ḣ奨㥔⋀Ḳ䇆㥔㮻憴Ɲ

䢏䖬⃣ ⴲⵤ ⴲⵤ

柖朋㪒悋柖朋㪒悋

䠦⨖㧼

㯹㗝⨖㧼

⩘㗝⨖㧼

⊭帇婑⩘⨖⑬

厂⨖㧼

ょ墡㧼

⋆壆


柖朋柖朋柖朋㪒悋

₸⊡ㅺ

ょ㧼噋宅

䚫㗝㧼⊈廍

ᳫ㗝㧼

搵㗝㧼

Ὢ㧼曃

㧼䳻朋

㳙濣ὗㅳ

㧼㲦朋

⬿㬥⎱㬥㥔⋀

ἴƝ㖗凡ỆK

㔥㬥㥔⋀ἴƝ㖗凡ỆK

74



㲦䖈

ㄉ䵊孹㲦䖈

廍弌䖈ᾷỺ土悍ᴉ悏噋宅䏠⊈孞

έ䖈

ᶔ昜㲦䖈

ὗṙ₸悏噋宅䏠Ⲱ⪤䊼䖈

廍弌ᶔ䱚⋆䖈ᾷỺ土悍ᴉ悏噋

宅䏠Ⲱ⪤䊼䖈

䖈

孟䏠ᵢ㓑䖈

⋆壆

䵺䇆姯䕒Ɲ

Ứ㥔憸坴㥔⋀

ᾂ⤎❲Ứ㥔Ὲ˚偖岟㠯ờ⎱㵞䰳岮憸䬰㛴⋀ƏỌ⊐䰳岮憸Ọ㔖ㆰ⅝䇆

怲ˣ岮㜓㔖ㇽ⅝㵞峣凮岮曧奨˛㭋Ə㜓堳ẍ懄Ḳ恦暑ㇽ峑ẋ㗺Ḳ曧

㰩Əᾂ恐Ḳ䔉ƏỌ⊐Ứ㥔䮈䏭∐䍮⎱䍮梏暑˛

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ㄵ恟image峑ῈƏ乳㷘俼䵺䇆ƏῈ岮䔉峑˛

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⤁⸝Ὥ檿奶㠣䙫柩䴁岈䮈䏭㛴⋀˛

乳⋽image峑岈䮈䏭㥔⋀ạ⎱岮˚ῄ暑桎晱Ə㥔㖠杉Ə奨㰩晱㕛檻Ḳ㥔

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Ḳ凮㛴⋀Ə㜓堳Ḳ䍙∐僤sub˚㛴⋀峑⎱䫝䈔sub˛ㆰ堳⊼㕟ἴ㘩ỊƏ㜑Ὥ㛛吾

憴㖣㕟ἴ态巖Ə㐔愴Ə㛴⋀⤁K㖶例Ə䙣ⰼ⬿㔥㬥凮岈䮈㥔⋀˛堳㗉㛰˚怘

恱䔆㴢ƏỌ⎱㕟ἴ堳択䆆ば H⋽㛴⋀Ḳὦ䔏俬Ə好䂡supe⬿㬥⎱岈䮈䏭Ḳ例Ὥ㹷

凮䛕㨀㖶例˛

䫝䈔䬽䕌˚䫝䈔∐⟡⎱䙣ⰼ恇㙖Ḳ㛰∐˚∐䴇⎱ㆰ䬽

㛰∐䴇

愴㔦乳⊼㖗㔦䬽Ə㷘⋽䁊⎱㝘ẅ˚ẅ˚䳷奦嘔凮㾚㴙䬰 ῲ⤌Ἓ旃

ᾩ敺䙫䵺岦ṹ⊼Ə㜓堳喰䔘㘆ⰼ执堳㗉㛰䙫暂䶙䵈奶㨈⎱巏䙫≜㖗⎱䟻䙣僤subƏ

supe⅞㛰㷘憸坴㥔䙫柿晱Ə乳㖞䙫㷘俼ⅎƏḍ⋽凑庒䙫㕛檻䫝䈔sub˛

㜓堳ⷙ㦲㕛䔉Ə㻦嶚曧㰩ƞἛ暏DQN 㲼ị䙫敲㔥Ə憸䮈㛪㖞媦㕛㲼奶˚

忷㼟敲㔥㥔⋀Ə䙣ⰼ⬿㬥䔉䛟旃Əsupe憸㴨㩆㛪 ẍ孺执堳㗉㛰䔚

媲Ὲ岟˚Ὲ䔏˚Ὲ姾敲䬰柬㥔⋀Ə䰈⋽䔚䧲䬰Ə㛰∐㖣㥔⋀㓛ⰼ˛㜓堳ⷙ㖣

Ὲ䔏䔚媲⎱敲Əḍ㖣㗉㛰Ὲ䔏⎲Ὲ岟䔚媲Ə

Ọ㻦嶚㖠ᾦ㘩䔚徍Ὲ䔏⎱Ὲ䔏岟㬥䙫曧㰩Ə㘩supe㽂Ḳ岈䮈凮㜓堳ὭḲ

㩆㛪˛

ㇷ峣㾚䛂䁊Ḳῲạ憸坴凮岈䮈䏭㥔⋀Ə㜓堳ⰼ䏥⤎䙫㕛僤subƏḍ⤎檿

岮䔉䮈䏭奶㨈Ə忶怵≜㖗䙫㕟ἴ⋽䏭岈Ḳ檻樾⎱⤁K巏㛴⋀Ə㛰⊐㖣檿

㜓堳岈䮈䏭ḲἻ㛰䍮˛㯸㛯ㇷ䪲˥㘆ⰼ尷䛂䦨ạ Ə˦懄㛛檿岮䔉

78

ᾂⱓ柩䴁㛴⋀Ə㜓堳岈䮈䏭䙫晊㛛supe㕛Ə㛰⊐㛛supe檿岈䮈䏭ḲἻ㛰䍮

㜓堳㳏憴梏暑䮈䏭Ə㖣䴫主Ḕ娔㛰梏暑䮈䏭惏敧ḍ娔㛰Ḳ䮈䧲Ə㠣⟞堳梏暑䮈䏭

Ọ䢡ῄ䵺䇆梏暑昴凚㛧ἵ˛

㜓堳ⅎ惏propprop晋曧恜㜓㲼ị奶Əḍ曧恜暭ᾄ㖗supe䛟旃㲼ị奶㈧姩Ḳ

ⅎ奶䮫ƏỌ㸂ὃ㥔梏暑⎱䵺䇆䫖˛

ẅ㴙㛧执堳屈ⷙ忷㼟㷘俼㖣Əthere4ạ䙫㥔㛴⋀ẍⷙ⎱态巖婴Ə

⋉㛛㛰∐㖣⊼䔉㔥㬥㥔⋀⎱㕛檻㵯岢憸坴㥔⋀㊺ⰼ˛

㘆ⰼ执堳㖗supe˚榀㸖䬰㘖䟌䙫㵯岢憸坴㥔⋀执堳Ə㭋Ə㜓堳Ọ䴷㘆ⰼ执堳

䏪䌵柬䙫傖ƏỌ⎱ẅ㴙image⋉凮敞˚image嵱䙫䮈䏭䳢䵘⑳梏暑娼僤subƏ怙

㭌㜓堳䁊image⋉Ə㷘俼䵺䇆㵯岢憸坴㥔⋀˛

∐䴇

勌併Ḕ岦㗺字䬓ṳ晵㮜字㜑僤㛰㭊杉䙣ⰼƏ䏪岦㗺⎱ᾂㆰ掯Ẵ僤lowast岇杉柦ƏṆ

柦ㇸ岦㗺凮䵺㿆ㇷ敞˛

併两䵘ⷄ㙕䙫˥併imageℯ˦㔦䬽Əⷙ䏪岦㗺凮䵺㿆ガ⋉怇ㇷ柦ƏṆṭ䏪憸坴

䙫㳉⊼Ə柦傈˚ₜ凮岮䴫䙫塏䏥˛勌ⷄ㙕怊ỢƏ僤ὦ憸坴䏥

廪⤎䙫㳉⊼˛

併Ḕ岦㗺䈔䫖乳⎱曧㰩嵗䬰柦Əℯ怙⎱Ḣ奨㖗凯䵺㿆檻ㇷ敞㭌嵗˛䁊Ḕ

⤎晟凮榀㸖ⷙ䖙ㄲƏ嶳䳫 ƈ˛⅝ㇸỤ栴䳫䂡ㇷƏ惏䔉Ḳ

ẴỌḔ⤎晟䂡Ḣ奨Əlowast㖗ↇ傡䁵䖒ガ柦ƏḔ䵺㿆䙣ⰼ杉减梏暑Ə僤Ḕ㖞怲

弟⑳ᾂㆰ掯䙫䔆䔉Əⅎ䵺㿆Ḳ柦妞Ə⅝乳㔯ㆰḲ妧凚柯凚䬓ṳ⭊

˛

䵺㿆ὃ⎱䙣ⰼ䴫主Ƌ2(ampƌƏ徸ㇷỨ㥔㒻ㅩ䵺㿆䢡『Ə柦Ứ㥔岮㱡䬽˛

勌䏪䵺㿆㜑僤䩐Ə曧乳䖙ƏṆ柦Ə昴ἵ㵯岢⎱岮ヶ栿˛

勌㖗ↇ傡䁵Ƌamp29ƌ䖒ガ乳㓛㕊Ə僤柦㵯岢俬ạῈ凮Ứ㥔䍙∐Ə怙俳昴ἵ㵯岢

凮岮ヶ栿˛

ⅎ执堳㥔䫝䈔㾧䂯Ə暽㕟ἴ䵺㿆㵑㽕Ə檻堳㕟㛰㸂嶏⋉ƏἭ岮䔉奶㨈ḍ

㜑㭋丕㸂˛㜓堳⊼㕟ἴ憸坴≜㖗恡棿subƏ徸暽䍙x 㬷K曃婳娼ʕ恟䂡 ˥

䏪㛧㕟ἴ执堳 Ə˦ˣ岈姱ˤ凰徍䙫岈䮈䏭⤎䌵˥㛧㕟ἴ憸坴˦⤎䌵㭱㦕ƏἭ杉

怆弰孱䙫㘩ỊƏ⥩Ἴ憸坴≜㖗˚㕟ἴ⋽䙣ⰼ㩆Ə䂡㈧㛰憸坴㥔㈧杉䙫Ⳣ˛

⬿㬥䔉⤁䂡执堳䈔檿岮䔉䙫敧Ə䄝⬿㬥䔉敺ⷕ䕗⋽Ə 㗺㖣㨈ỦƏ

怇ㇷ⃠㠣䫝䈔㾧䂯Ə∐㽋䩡敺˛

凮䛟廪Ə䁊㲼奶㈧ℨ娘Ḳ䏭岈䔉廪ⷕ䕗⋽⤇Ə䄈㲼㻦嶚檿䫖曧㰩˛

ㆰ䬽

晋∐䔏㘆ⰼ执堳Ḳ巏憸坴㥔⋀䶙䵈凮憸坴≜㖗僤subƏ㜓堳乣乳ᾂ㛧image峑䙫憸坴㛴⋀

峑Ə㘩⎱愴㵞ἯⰧḲ⤸㩆ƏⰋ⅝⅐ⲟ䵺岦㭊⋽㈧⸝Ὥ䙫㩆Ə㘖檿㜑

Ὥ䫝䈔subḲ㛧⤎∐⟡˛

79

㘆ⰼ暭徸Ὥ䨴㥜⊼憸坴㥔⋀㕟ἴ⋽Ə㖣㖗ↇ傡䁵䖒ガ䙣ⰼ㜆敺Ə㜓堳䨴㥜ḍ滺

⋜ὦ䔏䶙巖执堳怙堳ẋ㗺˚ㇽỌ好姱ㇽ曢婘㛴ᾂ㛴⋀Ə㜆ὦ䔏敧僤忶怵㕟

ἴ憸坴凮䛟旃㛴⋀㸇怺ㇷ㥔⋀˛

乳⟠備㥔䙫憸坴㥔ạƏ㕟ἴ⎱ )LQ7HFK 䛟旃㥔䟌嬿凮僤Ə滺⋜㈧㛰Ẩ

ⷌὃἴ惤僤䙣㖗≜Ứ㥔䙫䲥䥅Ə乳㔠怇㴨䧲怙梏暑䮈僤subƏỌῄ岮䔉Ə

ᾂ≜㖗䔉凮image峑㛴⋀䵍㈧㛰Ə乣俳ᾪ怙㥔⋀ⰼ˛

乳䔏㘆ⰼ执堳ẅ㴙image⋉Ə杶㷘⋽㘆ⰼ执堳⎱㘆ⰼƋ䁊ƌὃ䂡楽恟执堳

䙫ὃ⤌Ἓ旃ᾩ˛

supe怆䔉凮㛴⋀㕛Ə㛴⋀峑⎱䵺䇆㔯䍮˛㘩忶怵㴨䧲㔠怇Əᾂ㛛ᾦ

˚㛛ヰぬ䙫执堳䵺樾ƏỌⷕ䕗⋽⎱㻦ヶ˛

ṭ姊䙫岟㬥⎱岮䏭岈曧㰩Ə乳ᾂ㛛⤁㨊⋽䙫䔉恟㒮ḍ壤⋽岮䏭岈姯≪Ə

Ọ㻦嶚ⱋ䙫岟㬥⎱⤁K岮曧㰩˛

supe堳檻态巖㛴⋀峑Ə㘩䨴㥜怇䄈䴀⋽˚凑⊐⋽˚㕟ἴ⋽憸坴㛴⋀Ə弰❲䂡

㕟ἴ执堳Ə⋽㗉㛰䶙巖˚㩆堳⊼执堳䏭岈sube僤Ə嶏⋉凮ℯ㩆Əḍsupe凮㜓

堳⬿㬥凮憸㴨Ὥ㩆㛪˛

supe梏暑䮈⎱ⅎ惏propỌ昴ἵ䵺䇆梏暑⎱㝃䴼䫖Ə㷘俼旃ᾩḍḲῈ峛˛

杉䕝there4䁊憸坴䙫檿䫝䈔Ə㜓堳愴㔦㕟ἴ⋽党㭌Ə凛sub忶怵憸坴≜㖗堺⎱

ᾂ晻Ḳ凮㛴⋀Ə䪲㥔⋀巏㩆prop凮㛴⋀Ə⋽凮Ḣ奨䙫Ὥ旃ᾩƏ

䍙∐僤sub˚㛴⋀峑⎱䫝䈔subƏỌ㛴⋀㛛⤎⤁K䙫㖶例˛

㜑Ὥ⋽䔉⤁㨊⋽ḍ懄例ᾂⷕ䕗⋽䔉㛴⋀ƞ忶怵㖗䔉ᾂㆰỌ㓛⤎䔉

恟㒮㛴⋀Əeuro檿㕛檻䫝䈔sub˚ẍ孺䍙㛛⥤䙫䔉⎱㛴⋀˛

岮憸併Ḕ岦㗺⤎俳supe怆㴨Ə㜓堳愴㔦㔦䬽ᾂimageデ坴岮㠯Ə怙徻

岮ヶ栿˛

ṻ 憸坴䟻䩝凮㥔⋀䙣ⰼ㥩㲨Ɲ

㛧徸ṳⅎḢ奨憸坴⎱娔Ḳ㥔⋀惏敧Ə凮⅝凚㗌㭉Ḳ奶㨈⎱䚱ガ

娔Ḳ㥔⋀惏敧Ɲ䄈˛

㛧徸ṳⅎḢ奨憸坴

㜓堳憸坴嘼Ḣ奨ᾂ㲼ạ⎱ῲạ柬⎱場䔆『憸坴㛴⋀Ə䔉䨕桅⋬Ɲ

柬䍮˚∐䍮䬰梏暑㨀䙫Ḳ恟㒮㫱˚ẋ䳫˚恇㜆䳫⎱桅❲䴷㦲❲Ə⥩㖣

㛯supe㜓憸怊䴷恟㒮㫱Ḳ䴷㦲❲Ƌῄ㜓❲ƌ˛

嬰∟凑䇆˚暂ₜ∟択⎱Ị䏭岞峊ₜ∟䬰嬰∟㥔⋀Əḍ㖣㛯徍䏭杅ⱓ凑

㛰岮憸岮ㇽ恦暑曧㰩Ḳ凑堳岞峊㛰⃠嬰∟㥔⋀˛

凑㛯嵞ᾂỨ㥔忶怵㘩㛴⋀ƋHDO2QLQHƌ徍䏭㵰⎱㖗

凡Ḳ敺㜆ẋ㗺Əḍ㖣㛯㖣㭋ẋ㗺supe徍䏭㵰⎱㖗凡䬭ㇽẋ

㗺㗌⎱ẋ≙㗌姯态巖䴖姯䴷憸栴㜑总䬰㖗凡ṻ吓KḲ䴷峣䴷㜆ẋ㗺ƏỌ㜆

㛴⋀˛

㜓堳㵯岢憸坴㥔⋀⇾㖗䔉⎱㛴⋀Ọ㻦嶚⤁㨊⋽䙫曧㰩Ɲ

80

敞傈䥏Ƌ(TXLWƌ⎱㕟❲⟡憸Ƌ(7)ƌ㖣曢婘㛴Ḕẋ㗺㘩敺Ə

㛴⋀˛

懄˥㘆ⰼ尷䛂䦨ạ˦㖗㦺㡦❲ (7)Əᾂ㛛⅞䫝䈔『˚㛛⤁K䙫䔉恟㒮˛

㕟ἴ敲Əᾂ暏㘩暏敲䪲㘆ⰼ㴢⬿䙫㕟ἴ䮈怺˛

㖗˥棂堳䔳˦˥LYH)UHVK 䏥憸椲˦Ọ⎱˥(YHUGDampDUG Ə˦ᾂ

㛛imageデ㛛⅞䫝䈔『䙫⤁K恟㒮˛

Ὲ䔏㕟ἴ䔚媲Əᾂ 㘩㖠ᾦ徬怆䙫㘩䔚徍䮈怺˛

㘩㘩ẋ㗺㛴⋀ƏᾂỌ暏㘩暏怙堳ẋ㗺˛

㖗ₜ∟ḍ懄˥㘆ⰼ尷䛂䦨ạ˦㖗㰟乳ₜ∟Ḳ䔉恟㒮Ə乳supe㞝

ₜ∟˚䴷㦲❲䔉桅❲⤁K『ƏỌ㻦嶚岮曧㰩ľ

敞减㪪⎱㛴⋀Ḕ徍䏭ⅎ⟡憸ẋ㗺㘩敺ƏỌ㛴⋀˛

懄㘆ⰼ尷䛂䦨ạ䏭岈˥ 尷䛂俧䄈昷 Ə˦䂡ⅎ楽ㄆㆰế㬥䙫憸ⱓῈ

䔏Əᾂ岛岺柩䴁䔆㴢䦕怮˛㭋㖾前❲䔉䙫ƏṆ孺㜓堳懄例䙫Ὲ䔏䔉

㛛嶏㕛˛

㖣Ὲ䔏⎲ⱓ㕟ἴ䪲巏㥔ὃ䔆ㄲƏỌᾂ㛛岣徸⎲㗌䔆㴢䙫㕟ἴ

㛴⋀˛

㜓堳㗉㛰Ὲ䔏⎲Ὲ岟䔚媲˛

䄈暃䤀堳⊼执堳Ə庒暃䤀俬ὦ䔏憸坴㛴⋀Ḳᾦ∐『ƏỌ䬍憸坴⎲㛴⋀

Ḳ䲥䥅˛

敲娔楽曀媅堳Ə⊐䁊⊼ḍ䇆怇⎲曀媅憸坴㛴⋀䒗˛

⇾㗵㛧徸ṳ䟻䩝䙣ⰼ㔖⎱⅝ㇷ㞃Əḍ䕌志㜑Ὥ䟻䩝䙣ⰼ姯䕒

䟻䩝䙣ⰼ㔖⎱⅝ㇷ㞃

好Ḳ曧㰩≜㖗Ḳ䔉䴷㦲˛晋䛟旃Ḣ䮈㩆旃㠟ḍ㥔⋀ạ㜆怙堳

㖗䔉Ḳ㕀備姺Ọ⋽⅝䔉䟌嬿˛

㜑Ὥ䟻䩝䙣ⰼ姯䕒

怙ㇽ娔姯恐㥔岮ạḲ⤁K壤⋽䔉Ə㻦嶚檿岮䔉岮曧㰩˛

䟻䙣何㛛⤁姯⃠䛟旃Ḳ⬿㬥䔉凮岮䔉Ə⊐䏭岈㈧曧˛

䙣ⰼ䶙巖ῄƏᾂ㕟ἴ⋽䙫ῄ暑㛴⋀˛

䟻㓓㖗Ὲ姾峑㥔⋀Ə㴢⋽岮䔉˚檿䏭岈岮憸怲䔏㔯䍮˛

乣㕟ἴ敲⑳䔚媲Ὲ䔏Ə⎱㜓堳Ὲ䔏⎲Ὲ岟䔚媲Ə乳何㕟ἴ态巖䔚

徍⎱㠟岟ῲạ岟㬥˛

䴁执堳Ḣ䳢䵘Ə檿㛴⋀㔯䍮˛

䴁㖗柿ℯ䙫㵯岢憸坴㕟ἴƏ憴㖗怇there4lowastƏ䂡⸝Ὥ㛧䙫ὦ䔏俬檻

樾凮㛧ᾦ䙫执堳䵺樾Ə暏㘩暏ᾂ⤁K⋽䙫执堳䔉凮㛴⋀˛

敞䟔㜆㥔⋀䙣ⰼ姯≪Ɲ

䟔㜆㥔⋀䙣ⰼ姯≪

81

乳㓛ⰼ㵯岢憸坴⎱Ứ㥔憸坴䙫䔉䨕桅Əḍ㖞ᾂ㛛⤁K⋽䙫䔉⎱㠯ƏỌ曧㰩

䂡there4怙堳䔉奶䕒Ə⋬䏭岈岮˚⎱ạ㯸䛟旃䔉˚㈦岟˚庱岟˚Ὲ岟˚

Ὲ䔏˚Ứ㥔䏭岈⎱岮憸怲䔏䔉˚ㆰ㔝⸚㬥峣Ə娔₀坴岮䬰Əḍ⋽㴢㜆⬿㬥㥔⋀㮻憴˛

乳岮㖣岮姱䦸憸坴㛴⋀Ə∐䔏曢⬷ẋ㗺Ὥᾂ㛛㛰㔯䍮䙫㛴⋀Əḍ⋽⥩䶙巖执

堳凮堳⊼执堳˥㘆ⰼ堳⊼执堳$33˦䬰杅檻态巖sube僤⎱曢⬷䰤㩆propƏ㐔愴ᾦ∐憸㴨㛴⋀

凮⤁㨊⋽⬿㬥⎱岮䔉ᾂƏỌ≜㖗˚ᾦḲ憸坴㛴⋀supe凮㜓堳Ὥᾦ∐『Ə

旃ᾩƏḍ≜怇㛛ヰぬ䙫执堳䵺樾˛

乳忶怵堳恞䧢⎱㕛㊺ⰼ尷䛂䏭岈㥔⋀Ə晋ṭᾂᾦ∐䙫㗌ẋ㗺㛴⋀Ə㖞恐

ⱋ䙫image峑憸坴凮㛴⋀Əḍ忶怵㘩˚壤⋽䟻䩝凮䔉姱ざƏ⊐

僯⊼Ə䩐总lowast岮䛕㨀Ə㻦嶚檿岮䔉曧㰩˛䨴㥜ㇷ敞˥㘆ⰼ尷䛂䦨ạ

㛴˦⋀晱⎱㕟Ə忶怵㕟ἴ堳択⎱㛴⋀image⋉supe䈳䟌ƏỌ檿岈䮈䏭䍮

乳怲䔏暭岮㹷image⋉Ə乳㛛䙫憸坴凮≜㖗㛴⋀Əᾂ䙫岮䔉奶≪Ə

⊐岮䔉愴何ḍ㜆㪉好桎岮䔉惏ἴƏỌ恐㘩ᾂ䏭岈奶≪⎱岮䔉愴何字˛

敲䙣≜㖗㴢㜆『⬿㬥ḍᾂ㗉㛰ⱓimageデ㖠㠯Əsupe㷘凮㜓堳乳ὭḲヶ栿

ḍ檿㜓堳媇˛

乳忶怵㜓堳≜㖗䙫㕟ἴ⋽䏭岈Ḳ檻樾⎱⤁K巏㛴⋀Ə㷘俼旃ᾩƏ俳怙

䙫ῈỢ⑳㻦ヶ˛

㜑Ὥㆰ㥔⋀奶㨈㓛⤎Ə䙣ⰼⷕ䕗⋽例䵺䇆Əᾄ例ᾂ恐䔉奶≪Ọ㻦嶚

曧㰩Əḍ懄˥㘆ⰼ尷䛂䦨ạ˦ᾂⱓḲ憸坴ƏỌ乳㷘俼旃ᾩ˛

乳䴁ḍ何㖗Ὲ䔏㠟䮈䏭䳢䵘⎱䌵⋜姯䕒䮈䏭䳢䵘ƏỌᾂ㛛㕛ḍ⤁

K⋽䙫Ὲ䔏㛴⋀⎱infin䌵⋜椲㖠㠯Əḍ乳ᾂ˥ 䉠䳫Ὲ䔏㜆ế㬥 ⎱˦˥ Ὲ

䔏⸚ 䬭ẋ㗺㜆ế㬥˦㛴⋀Ə㻦嶚例Ḳ㵯岢侹ㅊ⎱㔖ế曧㰩˛㭋Ə杉㕟

ἴ憸坴䙫嶏⋉Ə晋乳supe㕟ἴ态巖䙫⎱image⋽䔚徍㴨䧲Ə晟乳何Ὲ䔏㩆㔖

ếƏỌ㻦嶚image峑ᾦ䙫Ὲ䔏㛴⋀⎱曧㰩˛

何䄈㒻ῄῈ岟䔉㕟ἴ⋽䔚媲ƏỌᾂ㛛⤁K怆ᾦ∐䙫䔉㛴⋀Ə㻦嶚

例Ḳ曧㰩˛

敞㜆㥔⋀䙣ⰼ姯≪

ᾂ⟆䙫䶙䵈怊䴷ƏⰋ⅝㷘㣴⤎Ḕ取䙫䵺䇆Əᾂ䫀峣嶚Ḳ㛴⋀˛

㓛⤎⟡䣵Ə乳ㇷ敞˥㘆ⰼ尷䛂䏭岈˦⎱˥㘆ⰼ尷䛂䦨ạ Ə˦䵺䇆檿岮䔉䙫墼ⱋ

ƏḍỌ䂡Əsupe凮ṹ⊼Ọ暂曧㰩Ə乳好㮶ῲ䛟旃ὃ

㥔凮㛴⋀㴨䧲Ə㷘⋽旃ᾩƏ檿媇Ə⅘≜ㇸ曀島ḍ㛛⤁㽂Ὥヶ

栿Ə怙俳⊼㥔⋀ㇷ敞Ə㓛⤎岈䮈䏭㥔⋀˛

乳⋆㽂sub㥔⋀ạƏḍ䨴㥜⟠棱image峑岈䮈䏭㥔⋀ạƏ杉塈㥔⋀Ẩ严㔯Ə

昴ἵ执堳䇆怲Ḳ䢡『ƏỌ㔖㥔⋀ㇷ敞Ə㓛⤎岈䮈䏭㥔⋀奶㨈凮Ἳ㛰䍮˛

乳⋽㕟ἴ⋽䵺䇆Ə㜆㜂㜑Ὥ忶怵㕟ἴ态巖˚㐔愴䔉Ə㛴⋀⤁K㖶例˚ᾂ

㛛image峑㛴⋀˛孺暏㘩暏惤忶怵䨕堳⊼壄何Ẓ㛰⤁K⋽⎱㖠ἴ䙫⑳㛴⋀˛

㘩乳敲䙣ḍimage⋽Ə㐔愴ᾦ∐憸㴨㛴⋀凮⤁㨊⋽⬿㬥⎱岮䔉ᾂƏsupe凮㜓堳Ὥ

ᾦ∐『Ə旃ᾩ˛㘩䙣ⰼ㕟ἴ执堳Əḍ愴䁊㲼奶䙫敲㔥Ə乳ⰼ㘩ṹ⊼䙫

㺄态㛴⋀凮㕟ἴ憸坴㛴⋀Əㇷ䂡㕟ἴ执堳柿䈳˛

喰䔘㘆ⰼ执堳㖣ẅ㴙娔䪲⬷堳㘩㈧䴖䨴Ḳ䟌嬿凮敧堺Ə䦰㘆ⰼ执堳䩐䵺䇆Ḳ

82

∮⎱ẅ㴙㛧执堳Ḳ㦕俧Ə愴䁊䵺㿆Ḳ䙣ⰼ⎱Ḣ䮈㩆旃Ḳ㔦䬽Ə䂡㜓ᾂ

㥔Ḳ㛴⋀Əḍ㘩ῄ暃㜓Ḳ㫱䚱Ə⸝䵍㜓㛛image峑⎱㛛㛰ῄ暃Ḳ䔉凮㛴⋀˛

凑㛯㗌嵞Ə凮总䔉暑ⰼ敲㮜䂡㜆敞总ṻ䙫ὃ旃ᾩƏ㜆䂡⤎

ẽῸạ䔆䙫㮶ῲ晵㮜ᾂ㛛⤁ῄ暃恟㒮Ə㓛⤎㘆ⰼ执堳䙫憸坴䔆ㄲ˚檻樾Ə䂡

ㇸῸ䙫≜怇㛧⤎⃠˛

ᾂ⤎❲Ứ㥔Ὲ 偖岟㠯ờ⎱㵞䰳岮憸䬰㛴⋀Ə⊐䰳岮憸Ọ㔖ㆰ⅝䇆怲

岮㜓㔖ㇽ⅝㵞峣凮岮曧奨˛㭋Ə㜓堳懄Ḳ恦暑ㇽ峑ẋ㗺Ḳ曧㰩Ə

ᾂ恐Ḳ䔉ƏỌ⊐Ứ㥔䮈䏭∐䍮Ḳ梏暑˛


䙣ⰼ㕟ἴ执堳Əḍ愴䁊㲼奶䙫敲㔥Ə乳ⰼ㘩ṹ⊼䙫㺄态㛴⋀凮㕟ἴ憸坴㛴⋀˛

乳㷘俼䏥㛰旃ᾩƏ吤偖乒˚旃凮㛴⋀Əᾂ䬽灈『凮壤⋽Ḳ㕛䔉姊㱡

㖠㠯ƏỌ㻦嶚曧㰩˛

ᵊƱ 㠫⎟ⲣ濣㖾序ᵊⴲⵤ⊈ヨ傱ⴲ∮㒣㨠㠫⎟ⲣᵸ㐶濕ⴱ㗋ⴲ宅Ʊⴱⴲ渟Ʊ⨶㨵

ⳁ㪒䉅Ʊ⎟ⲣ㗇ᴉ⫆㠫娇䀥⊈廰Ậ壑䲲⸠濣⟡㹽㗌㛯㗌

ⴲ ⵤ ⴲⵤ ⴲⵤ䐴ⴲⵤヨ傱

ヨ傱ⴲ∮㒣

⎟ⲣᵸ㐶

䏵

⋆ 壆壹

ⴱⴲ㨰

ⴱ㗋ⴲ宅

⨶㨵ⳁ㪒䉅

∘

䝧

⟥⫆

榖ᳫ

榖ᳫᶣ

⎟ⲣ㗇⫆㠫娇䀥ᴉ⋋䣯

䣻㛶ᵸ⎟䛒亐䊫

愾圊䣻㳪椕仁夤娇㖶

ㅓẟㅓ朥㠫⎟

ᵸ嵩ẛ敨㠫⎟

䏠䄧ẛ敨㠫⎟

ẟ壕㠫㠫ᵸ⎟

䰎㢉國䏝悏噋慵ᵸ⎟

ㅓ宅ẛ敨㠫⎟

娢 ⷌạ㕟㜑⋬㜓堳告Ṳ⎱䍏䪲告Ṳ˛

83

Ʊ ᶿ㠫孪ᶹ⊈弑圊㽸濣

㘆ⰼƋ䁊ƌ䛟ῈỨ㥔䵺䇆euro忤㰩䍙∐⎱䩐ㇷ敞Ə俳㘖奨⑳˥䤥㛪˦⓮漹䛟ᾄƏ孺㰟乳吤

⅓⏟㕮⋽ḔƏḍ柦㈧㛰∐旃ᾩạƏ≜怇㰟乳⃠˛㯸嵞Ə㜓堳Ⱈ⅓䚱Ḣ

廟娔䂡˥晑Ἓ䤥㛪Ứ㥔ㇷ敞 Ə˦䛛ỌὭ晋ṭ䴷执堳䙫㠟㥔⋀˚怲䔏憸坴㥔岮㹷Ə乳

忶怵字˚⟠備⎱㕛䨕杉Ə㖠ἴ⊐䤥㛪Ứ㥔ㇷ敞勨˛˥䤥㛪Ứ㥔˦䙫㘖䔏≜㖗

䙫㥔㨈Ὥ姊㱡㞷ῲ䤥㛪ㇽ䒗栳䙫Ứ㥔Ə忤㰩䍙∐˚凑䵍凑嶚˚僤㰟乳䵺䇆˛㜓堳婴䂡忶

怵㉝䤥㛪Ứ㥔Ə⊐⅝䩐䙣ⰼƏ㘖ῲ㭊˚⥤䙫䒗Ə㕛檻䤥㛪⎱䒗⸝Ὥ㭊杉⤎䙫

柦˛

Ʊ昜ᶹ䩟伵ᴉ⎟ⲣᵸ㐶Ʊⴲⵤ⎟ⲣⴱ䡍孹䏦⊈僅ℋᲾⴲⵤᴉⲬ䐮濣

ⴲ ⴲ 僅ℋᲾⴲⵤⲬ䐮

昜䩟⎟ⲣᵸ㐶

ⴲⵤ⎟ⲣⴱ䡍孹䏦

娢 Ɲ杅Ḣ䮈ⷌạ㕟Ọ 㛯㗌偞㜑㒻ỢḢ䮈偞⋀Ḳⷌ䂡姯䭾⟡㹽˛娢 Ɲ䥶∐岢䔏姯sdotⷌῄ暑岢⎱㯸ῄ暑岢Ƌ壃ℬῄ暑岢ƌ暮Ḣ岇㒻栴˚sdotⷌ忧Ỹ憸Ƌ㖗prop⎱sdot⟡

㲼凱propƌ暮Ḣ㒌栴˚檻ῄ暑岢Ƌⷌ栴暮Ḣ岇㒻⎱ 㛯凚㛯䜞ⱓῄ岢暮Ḣ岇㒻栴Ə 㛯凚㛯䜞ⱓῄ岢暮Ḣ岇㒻栴ƌ ⷌ『䥶∐憸ƏỌ⎱恅Ỹế䵍岮喑Ḳ两栴˛

ṻ˚宅壈士ὗ濣

Ḣ奨岮姱䳢䵘䡓檻˚廆檻Ḳ愴何⎱䶔孞Ɲ

㜓烚㠟岮姱䳢䵘䡓檻Ọ 0Ọ⎱+3Ḣ㩆䂡ḢƏ愴ὃ㥔䳢䵘Ƌ$LQX[LQGRZVƌ

岮炐䳢䵘Ƌ25$amp(64ƌ䬰廆檻Əᾂ⬿㬥˚㔥㬥˚˚⟡憸˚㛪姯䬰㥔⋀Ḳ

ẋ炲嘼䏭⎱䛟旃⸚⋀䳢䵘˛䛟旃ḲḢ㩆˚ἡ㛴凮ῲạ曢免䙭⦻䔘㥔ᾂ䶔孞㛴⋀˛

ṳ 㜑Ὥ敲䙣ㇽ峣何姯䕒Ɲ

⟡䣵娔㖤㖠杉Ə㜓堳乳⋽⟡䣵娔㖤Ḳ㛛㖗Ə憴滅⋬杉䴁䶙巖栢⎱噂㓓⋽䦨

㛰曙Ƌ9LUWXDO3ULYDWHampORXGƌ䴁˚ㇷ㜓堳₀Ụ䳢䵘杉䄈䢨⸝⋽Ọ⎱ㇷ堳曢免㛛㖗

凚0LFURVRIWLQGRZVƏỌ檿ὃ㥔㔯僤Ọ⎱image峑䙫㛴⋀峑˛

岮姱㖠杉Ə㜓堳ㇷ昙䁒䈭˚ῲạ曢免昙㮹廆檻˚ἡ㛴昙㮹廆檻˚ἡ㛴ᾜ㸓˚

䳢䵘䛊Ḳ䴁凮㛛㖗ὃ㥔Ə喰Ọ昴ἵḔ㭉㛴⋀㔖䳢䵘怇ㇷḲ岮㻶㴅˛

䶱「₀凮昙孞㖤Ɲ

䶱「₀㖠杉

84

勌ạ䂡ㇽ㊹Ḳ⤐䄝䁤Ə凛䳢䵘䙣䔆䊧㲨㘩Ə㜓堳娔㛰₀㖤Ə凛柦Ḣ奨㥔

⋀Ḳ㭊怲ὃ˛㮶䕗₀㻻ƏỌ⋽䁤孱㘩Ḳㆰ孱僤subƏ䢡ῄ岮姱䳢䵘㰟乳Ḕ㖞

䙫㛴⋀˛

㜓堳ẍ何䁊㠟䳢䵘₀䒗ƏỌ恦ℴ柷㜆ㇽ杅柷㜆䙫䳢䵘怲堳Ḕ㖞˛

岮姱昙孞㖤㖠杉

㜆⟞堳䛟旃岮姱㖤䔘䬓㖠⋋㥔䜥Ὲ桎⅓⏟怙堳䍏䪲娼Ə桖䤡䄈憴⤎

伡⤘˛

㜆⟞堳㻙忶㸓婍˚滅⎱㕊昢㖞㛴⋀㔢㒱Ḳ㪉㸓ƏỌ⥤Ṳthere4昙䦍㹽₀Əḍ

㖣㖗凯䙫岮⧨僬Ə⅞㛰㘩ㆰḲ僤sub˛

㜆⟞堳$33㪉㸓ƏỌ䢡ῄ$33㛰旃岮ὃ㥔Ḳ嘼䏭Ə总lowast⟡㜓昙孞凮䮈䏭˛

⅔˚宅撚Ẁ濣

㜓堳柬ⷌ䥶∐㖤˚忧Ỹprop凮⅝㖤ガƏỌ⎱sdot岮敺Ḳ字凮柬ⷌ㫱䚱䶔孞㖤

ガƝ

ⷌ㘖㜓堳㛧憴奨䙫岮䔉Ə㜓㖣旃ⷌ˚ᾪ怙sdot岮⑳嫎⎱ᾂimage峑Ḳⷌὃ䒗Ḳ䛕䙫Ə㜓堳⊼

柬䥶∐㖤Əḍᾂ㚉态Ḳsdot岮㺄态䮈怺Ɲ

ⷌ热炯㖤㖠杉Ɲ晋ᾄ㲼ᾂⷌ瀁ῄ˚ㇷ烉偞ⷌ热炯⦻㛪Əẍ⊼ⷌ旃姯䕒

Ƌ6ampDUHVƌ 『䥶∐propƏⷌῲạ䥶∐柷䭾ⅎ凑堳憒䘩ῄ暑˚侹ㇷ敞˚

䅎桎⎱庒䬰䥶∐柬䛕㱡ῲạ䥶∐䴫ƞḍᾂⷌⷌ檻ῄ暑㜆㪉㟌

䰤䳫ℹ娔㖤⎱image㖣sdot⊼⟡㹽㲼ḲỸ偞䕀曢ℬ˚桎䅎ℹ˚棱柿˚ⷌ˚㗌䔆⥩ὲ

喑˚栴 ⤐喑䔉⎱䔉晑⤐˚ ⤐喑䖬炲ẋ䔉烚执ⷌ㘩ƞ䬰

䬰㖠杉䙭㛰imageデ˛

忧Ỹprop烓㖠杉Ɲ㜓烚ᾄ瀁⊼⟡㹽㲼奶Ə䂡恐䔏凱propsdot忧propḲⷌƏ㒌忧Ỹ㹽₀濜凚

䁊执烚忧Ỹ濜⸚ƞ㘩ḍᾄ瀁忧㢄炇奶Ə䂡恐䔏㖗propsdot忧propḲⷌƏ㒌⅝喑岮Ḳ

凚瀁ῄⰧ˛

ᾪ怙瀁岮旃ᾩ㖠杉Ɲ㜓堳㮶⭊敲ⷌ⤎㛪Ə䔘檿晵䮈䏭晵ⱋ䇆怲姯䕒˚柬㥔⋀䛕㨀

⎱岈⋀䛟旃㨀总ㇷ䊧㲨ƏὦⷌℬỤ䞔姊㜓堳䇆怲䊧㲨˛㘩Ə㮶⭊ẍ敲sdot岮㛪字Əsdot岮

曀㖠Ị塏懄柬䥶∐㖤⎱ⷌ㫱∐怙堳ℬ㺄态Əsdot岮㛪字Ḳ㠯⎱㱡字Ə岓ㇷ䛟旃

惏敧⟞堳凮忤幋˛

85

ṳ ⎱凚㗌㭉Ə⅓⏟瀁岮䳥䴂㈧恔Ḳ⤘Ƌ⋬sdotⷌ㪉㟌䴷㞃怼sdot⊼⟡㹽㲼Ṳ柬Əㆰ⇾嘼㗌㜆˚嘼⬾噆˚㲼奶㢄㕮˚怼㲼奶ⅎ˚嘼ⅎƌƏ⎱䛕there4⎱㜑濿僤䙣䔆Ḳ姯濜栴⎱ㆰ㖤Ə⥩䄈㲼炶姯俬Əㆰ灁㗵䄈㲼炶姯ḲṲƝ

唓㒣㗝唓⨕唝弓⊋㮓塍㝛㑅弓⊋㮓塍⩷ 唓⩷

⋾sdot⊼䬓噆

sdot⊼⟡㹽㲼䬓㢄䬓柬

敞ⷌὃ㘩敺㜑ᾄ奶supe䵍ⷌ岮

墨佗㖗凡吓K


㜑ᾄ㲼䵍ếỸざ㗌ⷌὃḲⷌ岮

sdot⊼⟡㹽㲼䬓㢄sdotⷌ乣乳ⷌὃ㘩㜑䵍ṯ凚揿ḲỸざ

sdot㪉⬾噆



墨佗㖗凡吓K

㜓堳ⷙ懄墨佗Ṳ柬supeḢ䮈䮈䏭㩆prop⎱ⷌ㺄态ƏỌ䢡ῄ䛟旃㲼ịḲ恜˛

86

Ʊ悋堿䯂濣

䯂宨

䐴ᵉᵸ

䯂尵壔㒣㗝

堿⩷

攎㝛㧼

⦻⤸䳫

㘆ⰼ执堳

a0XUH[䒗䏪憸坴ẋ㗺䮈䏭˚梏暑䮈䏭⎱岮䔉岇ₜpropḲ㠟岈⋀䳢䵘

娢

⦻⤸䳫

㘆ⰼ执堳

a䒗䏪憸坴㥔⋀Ḳẋ≙⋋ὃ㥔

⦻⤸䳫

㘆ⰼ执堳

a暭㠟䛟旃嘼䏭䳢䵘Ḳ䶔孞˚㛪姯岈⋀䳢䵘⎱㲼塏䳢䵘Ḳ䶔孞

⦻⤸䳫

㘆ⰼ执堳

aỨ㥔憸坴䶙巖执堳䳢䵘⎱堳⊼执堳Ḳ䶔孞

⦻⤸䳫

㘆ⰼ执堳

a(

66䏪㳾按昙prop㙡ㅎ嘼䏭䳢䵘

⦻⤸䳫

㘆ⰼ执堳

aỨ㥔憸坴敲㴨䧲䮈䏭䳢䵘

⦻⤸䳫

㘆ⰼ执堳

aỨ㥔憸坴㴨䧲䮈䏭䛟旃䳢䵘

⦻⤸䳫

㘆ⰼ执堳

a5㵯岢憸坴䶙巖执堳䳢䵘⎱堳⊼执堳

⦻⤸䳫

㘆ⰼ执堳

a5(77=曢⬷ẋ㗺⎱∐䍮

⦻⤸䳫

㘆ⰼ执堳

a⬿㔥执堳㥔媦䮧ὃ㥔

⦻⤸䳫

㘆ⰼ执堳

aH)1$㵯岢憸坴岈䮈䴁䳢䵘

⦻⤸䳫

㘆ⰼ执堳

aamp50旃ᾩ䮈䏭䳢䵘

⦻⤸䳫

㘆ⰼ执堳

aⷛ峤䈥)HUPDW梏暑䮈䳢䵘

⦻⤸䳫

㘆ⰼ执堳

aamp6)$ⱓ『㝷䳢䵘

⦻⤸䳫

㘆ⰼ执堳

aỨ㥔憸坴梏暑䴁⎱㴨䧲䮈䏭䳢䵘Ƌ05$ƌ

⦻⤸䳫

㘆ⰼ执堳

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曧䬍˥憸坴㩆㦲ὃ㥔⦻姾ẽạ嘼䏭ⅎ惏ὃ㥔prop⎱䧲徍㲼˦

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ᲾƱ 㖾序ᵒⴲⵤ䫟㓌宅䏠孞έ圦Ʊ䱚⋆䖈圦⊈䫻娇㗁壆ᴉ⋋⊈㚣㛶塉濣

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忶怵⅝ẽ䶃䚱⅓ℨ⃠塈憶Ḳ

憸坴岮䔉

㔋択ㇷ㜓塈憶Ḳₜ⋀ⷌ⅞岮

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娢Ɲ岈⋀岮㖀㥔䵺㛪姯㟌㠟䰤嬰˛娢 Ɲ 愴憸栴ᾩᾄ告Ṳ㛪㱡字态怵Ḳ䚯棿愴㠯Ḳ㷏姯䭾ƏⰁ 傈㝘㛪态怵Ə棿ᾄ㬈

傈㝘㛪㱡字Ḳガ⇾˛娢 Ɲ岈⋀塏ᾩ俪ㅕ㘆ⰼῄỊ㠯ⷙ忤㺖憴˛

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娢 Ɲ岈⋀塏ᾩ俪ㅕ㘆ⰼῄỊ㠯ⷙ忤㺖憴˛

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ⷌ䍙∐栴㸂Ḣᾩ䍙∐僤sub廪⎢㸂㈧凛˛ 䏥憸㴨憶廪⎢㸂Ḣᾩ䇆㥔⎱岮㴢⊼䏥憸㴨怵⤁㈧凛˛

娢Ɲ㜓塏Ḳ姯䭾⅓⥩Ɲ 䵺䇆僤sub ⬿㔥㮻䍮Ơ㔥㬥两栴ƒ⬿㬥两栴˛ 急㔥㮻䍮Ơ急㜆㔥㬥两栴ƒ㔥㬥两栴˛ ∐ざ㔖⬿㬥棿栴㮻䍮Ơ⬿㬥䛟旃∐ざ㔖两栴ƒ⬿㬥棿栴˛ ∐ざ㔝Ὲ棿栴㮻䍮ƠῈ䛟旃∐ざ㔝两栴ƒῈ棿栴˛ 两岮䔉怘弰䍮Ơ㷏㔝䚱ƒ岮䔉两栴˛

96

ⷌ㔝䚱栴Ơ㷏㔝䚱ƒⷌ两ạ㕟˛ ⷌ䍙∐栴Ơ䧬䳻䚱ƒⷌ两ạ㕟˛ 䍙∐僤sub 䬓桅岮㜓慓䍮䧬there4䚱ƒ䬓桅岮㜓㷏栴˛ 岮䔉慓䍮Ơ䧬䚱ƒ岮䔉两栴㫱䚱慓䍮Ơ䧬䚱ƒ㫱䚱两栴䳻䚱䍮Ơ䧬䚱ƒ㷏㔝䚱˛ 㮶傈䚯棿ƠƋ㭟ⱓ㖣㮴⅓⏟㥔ḢḲ䚱Ɛ䉠∌傈傈∐ƌƒsupe㫱ⷙ䙣堳傈㕟˛

岈⋀䴷㦲岇ₜ两岮䔉㮻䍮Ơ岇ₜ两栴ƒ岮䔉两栴˛ ⊼䔉⎱娔₀㫱䚱㮻䍮Ơ⊼䔉⎱娔₀㷏栴ƒ㫱䚱㷏栴˛

ㇷ敞䍮岮䔉ㇷ敞䍮 Ƌ䕝岮䔉两栴Ɛthere4岮䔉两栴ƌƒthere4岮䔉两栴˛ 䍙∐ㇷ敞䍮 Ƌ䕝䧬there4䚱Ɛthere4䧬there4䚱ƌƒthere4䧬there4䚱˛

䏥憸㴨憶䏥憸㴨憶㮻䍮Ơ䇆㥔㴢⊼㷏䏥憸㴨憶ƒƋ执堳㚏㥔 ⎱忶㔖Ǝㆰế㥔㜓䥏Ǝ忶怵䚱⅓ℨ⃠

塈憶Ḳ憸坴岇ₜƎ昫岞䥏∟⎱ₜ∟岇ₜƎlowast㜆㗌ỌⅎḲㆰế㬥柬ƌ 㷏䏥憸㴨憶ℨ䕝㮻䍮Ơ㛧徸ṻ䇆㥔㴢⊼㷏䏥憸㴨憶ƒ㛧徸ṻƋ岮㜓㔖Ǝ䏥憸傈∐ƌ 䏥憸㴨憶㻦嶚䍮Ơ䇆㥔㴢⊼㷏䏥憸㴨憶ƒ岮㴢⊼㷏䏥憸㴨憶˛

㴨⊼㹽₀㮻䍮ƠḔ⤕执堳奶㴨⊼岮䔉ƒㆰ㴨⊼㹽₀Ḳ柬岇ₜ˛ 䇆怲奶㨈岮䔉䍮Ơ岮䔉两栴ƒ徍䏭⬿㔥㬥㥔⋀Ḳ檻憸坴㩆㦲岮䔉两栴˛ 㷏䍮Ơ㷏ƒ徍䏭⬿㔥㬥㥔⋀Ḳ檻憸坴㩆㦲㷏两栴˛ ⬿㬥䍮Ơ⬿㬥两栴ƒ徍䏭⬿㔥㬥㥔⋀Ḳ檻憸坴㩆㦲⬿㬥两栴˛ 㔥㬥䍮Ơ㔥㬥两栴ƒ徍䏭⬿㔥㬥㥔⋀Ḳ檻憸坴㩆㦲㔥㬥两栴˛

97

岮㜓恐嶚『 ἴƝ㖗凡ỆK

㝷柬䛕

㛧徸ṻ岮㜓恐嶚䍮

凑

㛰

岮

㜓

㙕态傈㫱䚱

杅㙕态傈㫱䚱Ḳ⅝ẽ䬓桅岮

㜓

䬓ṳ桅岮㜓

凑㛰岮㜓

supe㫱梏

暑『岮

䔉栴

Ὲ䔏

梏暑

㨀㹽㲼

ⅎ惏娼䬰㲼

岮䔉嬰∟⋽

ὃ㥔

梏暑

⟡㜓㨀㲼

㨀㹽㲼恟㒮『㨀㹽㲼

怙晵塈憶㲼

梏暑

㨀㹽㲼

ⅎ惏㨈❲㲼

supe㫱梏暑『岮䔉两栴

岮㜓恐嶚䍮

䬓桅岮㜓梏暑『岮䔉Ḳ㮻䍮

㙕态傈㫱䚱梏暑『岮䔉Ḳ㮻䍮

㦺㡦㮻䍮

媲媑㗵㛧徸ṳ岮㜓恐嶚㮻䍮孱⊼Ɲ㸂孱⊼㜑总 Əℴ㝷˛

娢 Ɲ㜓堳䂡杅ㇽⷙ嬰∟䇆㥔嘼㈧岞峊Ḳ⅓⏟Ə㔬㜑朙凚㗌Ḳthere4⭊㭉Ḳ岈⋀岮㖀˛娢 Ɲ姯䭾⅓Ɲ

凑㛰岮㜓Ơ㙕态傈㫱䚱Ǝ杅㙕态傈㫱䚱Ḳ⅝ẽ䬓桅岮㜓Ǝ䬓ṳ桅岮㜓˛ supe㫱梏暑『岮䔉两栴ƠῈ䔏梏暑supe㫱梏暑『岮䔉ƎƋὃ㥔梏暑Ǝ梏暑ƌḲ岮㜓姯Ŀ˛ 岮㜓恐嶚䍮Ơ凑㛰岮㜓ƒsupe㫱梏暑『岮䔉两栴˛ 䬓桅岮㜓梏暑『岮䔉Ḳ㮻䍮ƠƋ㙕态傈㫱䚱杅㙕态傈㫱䚱Ḳ⅝ẽ䬓桅岮㜓ƒsupe㫱梏暑『岮䔉两栴㙕态傈㫱䚱梏暑『岮䔉Ḳ㮻䍮Ơ㙕态傈㫱䚱ƒsupe㫱梏暑『岮䔉两栴˛ 㦺㡦㮻䍮䬓桅岮㜓㷏栴㚛暑两栴˛

98

Ʊⴲⵤ孟lceilᴉ⪧壆⎟㗁⪧㚣lceil濣

99

Ʊⴲⵤ孟lceil濣婚奲昫拫˛

ᵒƱⴲⵤ⋆ḳ孟圦濣恐䔏˛

Ʊ愾圊⊈撚Ẁᶿ㠫 ⴲⵤ⊈ヨ傱ⴲ∮㒣㨠濕㓭⋤㗇䔺䏝孟廯帇斡ᵉ⊈⫋㗪圊孟䅾㭿ᴉⸯ暽濣䄈˛

100

㚐Ʊ孟䅾㭿⊈孟䳼㐆ᴉ㥠壌㙎僅杦敨䩟䋄ᵉ曃ᴉ夓

101


ᲾƱ 孟䅾㭿濣ἴƝ㖗凡ỆK

曃䖬 ⴲⵤ ⴲⵤ 濑㳙炸婈darr

悏朋悏朋悏朋

䏥憸⎱䳫䕝䏥憸

⬿㔥⤕堳⎱ 执堳㥔



憸坴岮䔉


恦暑Ḳ憸坴岮䔉


ㆰ㔝㬥柬㷏栴

䕝㜆㈧䧬岮䔉


₀ᾂ憸坴岮䔉



ὦ䔏㫱岮䔉㷏栴

岮『⊼䔉㷏栴

䄈岮䔉㷏栴


⅝ẽ岮䔉㷏栴

宅䏠䳻朋



恦暑Ḳ憸坴岇ₜ


ㆰế㬥柬

䕝㜆㈧䧬岇ₜ

⬿㬥⎱㬥

ㆰế憸坴ₜ∟

⅝ẽ憸坴岇ₜ

岇ₜ㹽₀

䧆岪岇ₜ

恅㈧䧬岇ₜ

⅝ẽ岇ₜ

孞έ䳻朋

傈㜓

ῄ䕀䚯棿

⅝ẽ㫱䚱

 ⋊ℋㄉ㧈䖈

㧈䖈䳻朋

102

ᵊƱ 孟䳼㐆濣

ἴƝ㖗凡ỆK

曃䖬 ⴲⵤ ⴲⵤ濑㳙濒婈darr

悏朋㪒䉅

㲦䖈

ᶣ⟔㲦䖈

孹䏦⊈ẛ娇孪ᶹ㵔ὗ⨖

䂝㠫孹䏦

䴺䵊䂝㠫⑬ḋ䣃ℋ䖈

㗪㗝䖈

Ʊ 䊼悏㯿悍濣

㛧徸ṳ㴨⊼『㝷Ɲ

曃䖬 ⴲⵤ ⴲⵤ 濑㳙濒㪒ṉ

䊼悏㯿悍㪒䉅濑濒

䊼悏㯿悍䐴㪒䉅濑濒

䊼悏㯿悍㶽山㪒䉅濑濒

ṳ 䏥憸㴨⊼『㝷Ɲ

ἴƝ㖗凡ỆK

㗝䊼悏柖朋$濑壹濒

hellipⴲṄ储䂝㠫㯹

darr㲦䊼悏㯿悍

濑壹濒

hellipⴲ䊼悏㯿

₸悍amp

濑壹濒

䊼悏柖

濑山濒㐶朋

$amp

䊼悏山朋ᴉ垚㐏㑻

ㅓ宅壆䐩宅壆䐩

娢 Ɲ㜆∄䏥憸棿栴⋬䬍暂㛪姯㹽∮䬓噆䏥憸⎱䳫䕝䏥憸侐Ḳ⬿㔥⤕堳⎱ 执堳㥔棿栴˛娢 Ɲ柷䇆㥔㴢⊼㷏䏥憸㴨㖗凡 ỆK Ḣ奨ᾩ㷏∐supe⎱⬿˚㔥㬥㈧䔉䔆Ḳ㷏䏥憸㴨˛娢 ƝḢ奨ᾩ䙣㔥䏥憸傈∐˛

Ʊ ⴲⵤ悋⟥宅㗪₸⫋孟㠫ᴉⸯ暽濣䄈˛

ᵒƱ ⴲⵤ帇ㅓ宅䨔Ʊ䈰ピ唥ᴉ堿≝Ʊ壆䐩⊈㗨ṄᲾⴲㅓ宅壆䐩濣䄈˛

103

Ʊ 杦敨䩟䋄濣

桅梏暑Ḳ『⎱憶岮姱Ɲ Ὲ䔏梏暑䮈䏭prop⎱ㆰ姯岮㜓

Ὲ䔏梏暑䮈䏭prop

曃䖬 ⩷

ᲾƱẟ 䏦杦敨䨔

䐣Ʊ䖬㣗Ʊ䨔

僅㯿䣉

Ὲ䔏梏暑䂡㘆ⰼƋ䁊ƌ㠟梏暑䮈䏭柬䛕ḲƏ⅝䮫晋ₚ䵘㔥㬥 ῄ嬰䬰Ὲ㥔⋀Əẍ⋬場䔆『憸坴䬰ẋ㗺˛Ὲ䔏梏暑䮈䏭ᾩ恜⦌恐Ḳ䬽䕌˚䛕㨀˚㔦䬽凮㴨䧲ƏỌ㜆㜓堳㥔⋀䵺䇆˚㗮Ὲ

峑Əḍ䢡ῄ剖⥤Ḳ㕛檻Ὲ䔏梏暑prop˛

㜓堳ᾄ㓁Ὲ梏暑䮈䏭㔦䬽Ə姩㛰柬徍㲼˚㴨䧲Ə恜䛟旃Ḣ䮈㩆旃㲼ị⎱㘆ⰼ执

堳ⅎ惏奶䫇Əḍ㗵姩Ὲⱋ㫱˚㴨䧲˚昷栴䬰䮈䏭prop˛

ᵊƱẟ䏦杦敨䩟䋄

䰂䴒僅㙴㢉

㜓堳告Ṳ㛪䂡梏暑䮈䏭㛧檿㫱岓ἴƏḍ娔何姯⦻㛪Ə⊐⅝䛊䝊⎱䮈䏭桅梏暑ᾄ㓁告Ṳ㛪㫱Ə㜓堳Ὲ䔏梏暑⦻㛪岇岓䛊䝊⎱䮈䏭Ὲ䔏梏暑Əḍ㠟䛟旃㔦䬽凮徍㲼䂡䢡ῄ䮈䏭㞝㦲Ḳ㔯僤Ə㜓堳Ὲ䔏梏暑⦻㛪晋䔘梏敞㒻ỢḢƏ⅝ㇷ⋬两䵺䏭

Ứ㥔⎱㩆㦲执堳嘼˚㵯岢憸坴嘼凮梏暑䮈嘼䛟旃Ḣ䮈ㇽ䔘⅝㴥ḲỊ塏Ə䨤㠟嘼Ị塏ẍ

⎪凮⇾婙⦻㛪Ḳ㛪字˛

㜓堳梏暑䮈嘼弫娔㛰Ứ㥔憸坴Ὲ䮈䏭惏⎱㵯岢憸坴Ὲ䮈䏭惏Ə岇岓Ὲ㔦䬽prop

姩˚Ὲ㠟˚岟Ṳ柬⎱剖ₜ㫱䮈䏭䬰Ṳ˛㜓堳䨤㠟嘼ᾄ⅝㫱岓㟌㠟Ὲ䔏梏暑䮈䏭

Ḳ⦌恐『˚字㔠㖤Əḍ䛛告Ṳ㛪˛

Ʊẟ䏦杦敨lceil

僅土悍䮹䰯ᴉ

䪂僅䄷涜

㜓堳Ứ㥔⎱㩆㦲执堳嘼˚㵯岢憸坴嘼凮梏暑䮈嘼㖣㮶㛯凰堳ḲῈ䔏梏暑⦻㛪ḔƏ懄柬梏暑䮈䏭㨀Ḳ塈憶䴷㞃Ə㜆ὦ䮈䏭晵ⱋ䞔姊Ὲ峑孱⋽˚岮䔉䴫˚奶㨈凮愴何ガƏḍㇷῈ梏暑䮈䏭㱡䬽˚总ㇷ岮㜓慓䍮䛕㨀˛㜓堳ⅎ惏梏暑䮈䏭⋬Ọ䛟旃岮姱Ɲ˚Ḣ奨堳㥔Ὲ㮻憴⎱梏暑傪䳴娔˛ṳ˚旃ᾩ旃偖Ὲ䮈䏭˛˚⤎栴Ὲ梏暑䮈䏭˛˚Ὲ柷孍˚㜆Ḕ⎱Ṳ忤幋䮈䏭˛ṻ˚岮䔉䴫Ḳ⸚䍮⑳剖ₜ㫱㔝ガ˛

Ʊẟ䏦杦敨弽敨

ピ杦敨ㅳ㳙ᴉ

䨔濕ᶣ⊈䖡

塍弽僅杦敨

ㅳ㳙ⲣ䵊

㗇㐆ᴉ䨔䐣

僅㯿䣉

㜓堳忶怵㒻ῄ˚㷏栴䴷䭾䳫˚Ὲ䔏ῄ暑˚場䔆『ㇽ⅝ẽ恦暑㖤昴ἵ僤䙣䔆ḲῈ䔏⤘梏暑Ə懄㠣㒻ῄ䨕桅˚娼⃠㖠⎱栢䍮Ə䙭姩㛰䛟旃奶䮫˛㛰旃剖Ὲ岮䔉䮈䏭Ə⋬Ἥ昷㖣Ὲῄ⟡憸䏭峇䬰柬䛕Ə㜓堳ₜ㫱䮈䏭惏敧ᾄ⅝㫱岓乳忤幋ₜ⋀ạ䇆怲凮岈⋀䊧㲨˚怙堳娑媮˚Ὲ㟌婉˚憴㖗㪉好ₜ㫱㕮ờƏ⎱恐䕝ῄ㖤ƏỌ䢡ῄ㕛檻Ὲ梏暑䮈䏭㔯僤˛㜓堳ḍᾄ㓁ⷛ䈥岮㜓凮Ḣ䮈㩆旃奶Ə好㠣㒻ῄ凮ῄ嬰䬰梏暑㸂ⷌ⅞ƏỌ

䢡ῄῈ䔏梏暑supe㫱梏暑『岮䔉姯䭾Ḳ㭊䢡『˛

ᵒƱ㮓⩘宅㗪壆ヾ㉟圊ᴉ㑷㮓

㨀㹽㲼

104

Ὲ䔏梏暑㨀㹽㲼Ḳ梏暑㸂㚛暑栴凮ㆰ姯岮㜓 ⟡㹽㗌Ɲ 㛯㗌

嬰∟⋽梏暑䮈䏭prop

嬰∟⋽梏暑䮈䏭propƝ恐䔏˛

Ṳ嬰∟⋽ガƝ䄈˛

嬰∟⋽㚛暑栴凮ㆰ姯岮㜓ᾄẋ㗺桅❲ 䄈˛

嬰∟⋽岮姱Ɲ䄈˛

㕲敨朜杦敨ㅳ㳙㕲敨朋ょ壆宅㗪

㧈⩴

昜ᳫ⟬ⵚ 徦搾

愾圊濑⋩⟘彈摉䔺愾圊濒

ᶿ㠫濑⋩娇⊈ẛ敨⊶濒

斴έ㧈

ḍ⩃䏦darr䏠

㧈䖈娇ㅓ宅

ᶔ宅䏠

⋆壆

105

ὃ㥔梏暑䮈䏭prop⎱ㆰ姯岮㜓

ὃ㥔梏暑䮈䏭prop

曃䖬 ⩷

Ḛ㠫杦敨䩟

䋄䨔䐣僅㯿

䣉

˚ὃ㥔梏暑㘖ㇸῸ䙫㥔㴢⊼Ḕ㛰䙫Ə嵞㖣执堳ⅎ惏ὃ㥔˚ạ⎱䳢䵘Ḳ䕝ㇽ⤘

媋Əㇽ惏Ṳờ怇ㇷ⤘Ḳ梏暑˛㜓堳䙫䛕㨀㘖俪憶䊧㲨˚㥔⋀䉠『˚䵺㿆

Ọ⎱㲼奶䙫䒗ḲƏὃ㥔梏暑prop䶔恐䕝䙫㰛˛

ṳ˚㘆ⰼƋ䁊ƌᾩ恜暭Ḳὃ㥔梏暑㔦䬽Ə何㛰䴫主䙫˚䳢䵘『凮凛『䙫㖠㲼Ọ

䮈䏭ὃ㥔梏暑Əḍ俪憶ⅎ˚惏梏暑䒗⎱ⅎ惏prop䬰奨䴇Ə徏烎Ḣ奨梏暑ḍ乳娼

㜓堳䔉䔆Ḳ柦Ə怙堳ㆰ凮㔠ƏỌ昴ἵ㜓堳Ḳὃ㥔梏暑˛㥔⋀⎱㔖

ἴ柯㜆ὃ㥔梏暑ガḍ䪲㔠堳⊼Ọ昴ἵὃ㥔梏暑˛

ṳ˚propὃ㥔梏暑䮈䏭㔦䬽⎱䛟旃ὃ㥔㨀㹽ƏỌ䢡ῄ僤⤇恜䴫主『˚䳢䵘『⎱乳『

∮˛匙Ⱈὃ㥔梏暑䮈䏭∮志⥩Ɲ

杦敨䩟䋄㑷㮓 ≝

嬿∌ bull 懄䔉㛴⋀Ḳ㴨䧲˚ạ˚䳢䵘ⱋ杉Ə嬿∌䔘嵞滅

凚䴩滅䙫梏暑

bull 㜆㟌Ọ䢡ῄ僤乳㔟旃『

bull ⅞㛰㗵䢡凛『䙫ὃ㥔梏暑桅㖠㲼

bull 䅎娔䙫敧㪢㘩姿拫⎱

bull 樾嬰岮㖀䙫凛『⎱㕛『

娼 bull 梏暑娼Ƌ⦲˚㷏凮≐棿梏暑ƌ⎱imageℯ柭

bull prop㛰㔯『娼䬓怺昙㸓婍prop

bull 姩梏暑ㆰḲ怺Ə㸂˚昴ἵ梏暑˚弰䧢梏暑˚

梏暑⎱奶恦梏暑

prop凮㸂 bull 㖣㔦䬽凮㨀㹽prop柷䙫propỌ凛㲢䏭ὃ㥔梏暑䮈䏭

㴨䧲Ə吤梏暑ㆰḲ怺Ọ䢡ῄ㛰㔯䮈ὃ㥔䒗ƏƝ

o ⅎ惏propỌ㸂˚昴ἵ梏暑o 恐䕝䧲Ọ䮈䏭㥔⋀Ḕ㖞㈧⸝ὭḲ梏暑Əḍ䢡ῄ㥔⋀乳

o ῄ暑Ọ㸂˚昴ἵ䙣䔆Ἥ柦˚⤘⤎Ḳ梏暑o 姺媙䧲Ọ怙梏暑˚propḲヶ嬿

䛊 bull 乳䛊ὃ㥔梏暑䮈䏭䙫㛰㔯『ⅎ˚惏䒗俪憶

bull 㜆䛊ὃ㥔梏暑㥩㲨

bull prop㛰㔯『娼䬓ṳ凮䬓怺昙㸓婍prop

bull 㘩Ə⋬憴⤎Ṳờ㩆prop䪲

bull 㜆ὃ㥔梏暑㥩㲨Ƌ㶜咲峑⋽凮憶⋽岮姱ƌ

bull 㕛˚䲥䢡˚㜆⎱㘩

塈憶 bull 㖣柷㜆˚杅柷㜆⤘ƏỌ憶⋽凮峑⋽岮姱塈憶ὃ㥔梏暑

106

曃䖬 ⩷

Ḛ㠫杦敨䩟䋄

䰂䴒僅㙴㢉

告Ṳ㛪岇岓堳ὃ㥔梏暑䮈䏭⎱忶怵檿晵䮈䏭晵ⱋ䢡婴㔦䬽⎱䧲䙫㛰㔯吤˛㜓堳䳴

怺昙㩆prop䮈䏭ὃ㥔梏暑˛

告Ṳ㛪弫Ḳ˥ ὃ㥔梏暑⦻㛪 Ə˦岇岓⟞堳㜓堳䙫ὃ㥔梏暑Ḣ奨杉䙫䛊䝊⎱㠟Əḍ㜆

㪉姵㜓堳䙫ὃ㥔梏暑䮈䏭㖠㲼˛⦻㛪䔘ὃ㥔梏暑䮈䏭惏Ḣ䮈㒻ỢḢƏ⅝⦻∮䔘岮姱㚏

䇆怲䮈䏭嘼Ḣ䮈˚Ứ㥔⎱㩆㦲执堳嘼Ḣ䮈˚㵯岢憸坴嘼Ḣ䮈˚憸坴嘼㚏㴨⊼岮憸䮈䏭嘼

Ḣ䮈˚Ứ㥔憸坴⎱憸坴ὃ㥔惏Ḣ䮈˚㵯岢憸坴ὃ㥔惏㚏㛴⋀ḔḢ䮈˚岮姱惏Ḣ䮈˚

憸坴䊖佑昙prop媦㟌⎱Ứ㥔惏Ḣ䮈˚㲼⋀㚏㲼ị恜嘼Ḣ䮈˚Ứ㥔憸坴Ὲ䮈䏭惏Ḣ䮈˚

㵯岢憸坴Ὲ䮈䏭惏Ḣ䮈˚岈⋀Ứ≪嘼Ḣ䮈㒻ỢƏ妧∮䔘䨤㠟嘼Ḣ䮈㒻Ợ˛

ὃ㥔梏暑⦻㛪偞岓䂡Ɲ

䛊䝊ὃ㥔梏暑䮈䏭⟡䣵娔㖤Ə⋬㔦䬽˚㴨䧲˚Ὲざ˚㖠㲼⑳䳢䵘

㜆㟌ὃ㥔梏暑㥩㲨

㠟ὃ㥔梏暑䛟旃㔦䬽

ὃ㥔梏暑⦻㛪㜆敲Ə㖣㛪字字柬憴⤎ṲờƏ勌㛰ỢἼ柦㜓堳䇆怲䛕㨀˚䵺䇆

䬽䕌ㇽ憴⤎岇杉柦䬰Ə∮ㆰ䪲告Ṳ㛪㚏姯⦻㛪Ə媲䛟旃ἴ㓓㔠㖠㠯Ə

ḍ䨴㥜忤幋㔠˛ὃ㥔梏暑⦻㛪ㆰὃ㥔梏暑䛊ガ㜆告Ṳ㛪㚏姯⦻㛪˛

㜓堳怺昙䔏⅘态『䙫梏暑桅凮凛『䙫梏暑娼㖠Ὥ䮈䏭ὃ㥔梏暑Ə㥔⋀ἴ

凮㔖ἴ忶怵梏暑ⅎ凑ㇸ娼Ọ徏嬿ὃ㥔梏暑ḍ娼ⅎ惏propḲ㛰㔯『˛䙣䏥䮈䙫

栳㘩Ə婙ἴ柯䙣ⰼ堳⊼㖠㠯ḍ忤幋栳䛛lowast䴷㠯˛

䂡ṭ䮈䏭ḍpropὃ㥔梏暑Ə㜓堳ὦ䔏㕟䨕ⷌ⅞⋬梏暑ⅎ凑ㇸ娼˚ὃ㥔梏暑Ṳờ䮈䏭⎱

旃捜梏暑㨀䛊˛䂡䬓怺昙Ə㥔⋀ἴ㔖ἴ䙫䮈䏭晵ⱋ岇岓婙ἴ㗌ὃ㥔梏

暑䮈䏭Əḍ䢡ῄ吤柬ὃ㥔梏暑䮈䏭㔦䬽⑳㨀㹽䙫⟞堳˛ἴ㴥ἴἴὃ㥔梏暑䵺

䏭⊐堳ὃ㥔梏暑㔦䬽⎱⸝⊼㕛檻梏暑prop字䧲Əḍ䛛ἴ岇岓ạ䛊䮈䏭䴷㞃

䂡䬓ṳ怺昙Ə䛊䝊偞僤ἴ⥩Ɲ㲼⋀㚏㲼ị恜嘼˚ὃ㥔梏暑䮈䏭惏岇岓侐㔦䬽⎱㨀

㹽Əᾂ恐䕝䙫ⷌ⅞⎱˚姺ḍ䛊㴨䧲ƏỌ⎱䛊䝊䛊梏暑䢡ῄ㛰㔯䙫㖤⑳恜

˛

䂡䬓怺昙Ə䨤㠟嘼⊐告Ṳ㛪⎱檿晵䮈䏭晵ⱋ㟌㠟凮娼梏暑䮈䏭⎱ⅎ惏propprop㘖

㛰㔯怲ὃƏ⋬娼䬓怺⎱䬓ṳ怺昙怙堳梏暑䛊Ḳ㛰㔯『Əḍ恐㘩ᾂ㔠怙字ƏỌ

䏭䢡ῄⅎ惏proppropỌ乳㛰㔯㖤⎱ὃ䂡㪉姵㭊ⅎ惏proppropḲᾄ㓁˛

Ḛ㠫杦敨lceil

僅土悍䮹䰯ᴉ

䪂僅䄷涜

˚ 塈憶㖠㲼Ɲᾄ㓁㜓堳㠟Ḳ梏暑傪䳴㨀Ə姩䛟ㆰḲ柷孍凮䛟旃昷栴ㇽ㛧ἵ㨀㹽˛

ὃ㥔梏暑䮈䏭惏㮶㛯㜆䛊好ὃ㥔梏暑䊧ㄲ㚏䮈䏭㛯檿晵䮈䏭晵ⱋ 㮶ḍ憴㖗

好娔Ḳ梏暑昷栴ㇽ敧㪢˛䛟旃岇岓ἴᾄ㓁ⷙ徏烎ḲḢ奨梏暑恐䕝prop徍

㲼˛ὃ㥔梏暑䮈䏭惏㮶㛯㜆㕛Ḣ奨㚛暑䧲˚梏暑㨀䆯噆䮈䬰㨀岮㖀Ə

凚ὃ㥔梏暑⦻㛪Ọ䛊䝊㜓堳ὃ㥔梏暑ガ⎱prop䒗˛

ṳ˚ ὃ㥔梏暑Ɲἴ⥩㛰ὃ㥔梏暑Ṳờ䙣䔆ㆰ䪲䛟旃ἴ˛ὃ㥔梏暑䮈䏭惏

㜆㕛˚㝷ὃ㥔梏暑䛟旃Ə㮶㛯㜆ὃ㥔梏暑⦻㛪ƏỌ∐⅝䛊䝊㜓堳ὃ㥔

梏暑˛

Ḛ㠫杦敨弽敨

ピ杦敨ㅳ㳙ᴉ

䨔濕ᶣ⊈䖡

塍弽僅杦敨

ㅳ㳙ⲣ䵊

㗇㐆ᴉ䨔䐣

僅㯿䣉

ὃ㥔梏暑恦暑ㇽ梏暑㸂Ḳ㔦䬽

˚ 㜓堳姩㛰柬ⅎ惏proppropỌ䮈ḍ昴ἵ⟞堳柬㥔⋀僤䙣䔆Ḳὃ㥔梏暑˛

ṳ˚ 䂡昴ἵ䨕柷㜆Ṳ㔬凛㥔⋀Ḕ㖞⸝ὭḲὃ㥔梏暑Ə㜓堳姩㛰㥔⋀乳怲ὃ䮈䏭

徍㲼ƏỌ䂡ἴ柷昙˚态⎱乳嘼䏭䧲Ḳ恜ᾄ㓁˛

˚ 㜓堳Ọῄ暑昴ἵ柷㜆Ἥ柦憴⤎䙫梏暑ṲờḲ⤘Əḍ姩㛰䛟旃㔦䬽䂡恜Ḳ

ᾄ㓁˛

䛊奶恦凮梏暑㸂ⷌ⅞乳㛰㔯『Ḳ䬽䕌凮㴨䧲

˚㜆徍䏭凑堳㟌㠟Ə懄伡⤘柬䛕㘩㔠姯≪Əḍ⟞堳䴷㞃䨤㠟嘼˛

107

曃䖬 ⩷

ṳ˚䨤㠟嘼㜆徍䏭刓ㇽ㠯㪉㟌ƏỌ䢡ῄ柬㥔⋀ⅎ惏prop⎱㲼奶恜Ḳ㛰㔯『˛

㮓⩘宅㗪壆

ヾ㉟圊ᴉ㑷㮓

⟡㜓㨀㲼

廰敌土悍㮓旰曃䖬

䫟庮愾圊㉟䏦䕂廰敌土悍㮓濕ㆪ㳪悍㑷㮓ᳫ仁䕂䖶撚⟔徦

䯞Ʋ今徦ḽ䏦$0$㔀濕㉟䏦⋊㑷㮓䕂䪂㱳厉⸠Ʋ

恐䔏

ḽ䏦廰敌土悍㮓䕂愾圊㐖庮㽸攋ḌḚ㠫杦敨今ḽ䏦ᴉẛ敨Ʋ 恐䔏

ὃ㥔梏暑ㆰ姯岮㜓

ἴƝ㖗凡ỆK ⟡㹽㗌Ɲ 㛯㗌

ⴲⵤ 䂝㠫㪙ょ壆宅㗪

ⴲⵤ

ⴲⵤ

ⴲⵤ

⋆壆

108

梏暑䮈䏭prop⎱ㆰ姯岮㜓

梏暑䮈䏭prop

梏暑ㆰ姯岮㜓

⟡㹽㗌Ɲ 㛯㗌

曃䖬 ⩷

ᲾƱ Ⳁ杦敨䩟䋄䨔䐣僅㯿䣉

˚ὦ梏暑昷栴䴷㦲㨀㹽⋽䙫怵䧲ḔƏ㜓堳俪憶㥔⋀堳䂡䙫梏暑⑳旃

ᾩƏprop⤾僤ὦ㥔⋀䛕㨀凮ヶ㒻䙫梏暑䛟⌠愴䙫ẋ㗺䬽䕌˛

ṳ˚ 梏暑昷栴䴷㦲㘖梏暑㞝㦲䮈䏭Ə䔘梏暑⥤栴˚梏暑䮈

栴⑳栴䴫ㇷ

ᵊƱ Ⳁ杦敨䩟䋄䰂䴒僅㙴㢉

告Ṳ㛪㫱㚏㴨⊼『梏暑⦻㛪㚏㴨⊼『梏暑栴䙫㨀㹽˚ㆰ䔏⑳

䮈㓓ṭ㖠懄˛

Ʊ Ⳁ杦敨lceil僅土悍䮹䰯ᴉ䪂僅䄷涜

˚ ∐䍮㔶ㄆƋĄ39ąƝ∐䍮supeῲ⟡滅䔉䔆䙫䚱孱⋽˛

ṳ˚ HOWDƝ䍮ῲἴ㈧䔉䔆䙫䚱孱⋽˛

˚ 傈䥏HOWD 傈䥏⃠㠣ῲἴ㈧䔉䔆䙫䚱孱⋽˛

˚ Ὲ岟∐ⷕ㔶ㄆƝῈ岟∐ⷕsupeῲ⟡滅㈧䔉䔆䙫䚱孱⋽˛

ṻ˚ 怼䳫梏暑昷栴Ɲ怼䳫there4䙫䚱孱⋽˛刓Ὥ媑Ə怼䳫梏暑昷栴勌䂡㭊㕟Ə

岞㖠Ὥ嬂㘖怼䳫䙫㔝Ə⥩㞃㘖岇㕟Ə峊㖠Ὥ嬂㘖僤䍙䙫壃˛

⅔˚ 䶙㠣ƋULGVƌƝ䕝䍮˚∐䍮ㇽ㳉⊼䍮孱⊼㈧䔉䔆䙫䚱孱⋽˛

Ʊ Ⳁ杦敨弽敨ピ杦敨ㅳ㳙ᴉ䨔濕ᶣ⊈䖡塍弽僅杦敨ㅳ㳙ⲣ䵊㗇㐆ᴉ䨔䐣僅㯿䣉

∐䔏䂡恦暑Ḳⷌ⅞Ə嘼䏭⤁梏暑孱㕟䴫䔉䔆Ḳ梏暑˛

ᵒƱ 㮓⩘宅㗪壆ヾ㉟圊ᴉ㑷㮓㨀㹽㲼

杦敨⃣ ょ壆宅㗪

䉅杦敨

㧈䖈娇杦敨

⟔杦敨

杦敨

⋆壆

109

㴨⊼『梏暑

㖗凡lowast㜆㗌㜆昷䴷㦲㝷

⟡㹽㗌Ɲ 㛯㗌 ἴƝ㖗凡ỆK

⋆壆岛㗝㒣柖㗝摑悏朋

⟧傱⟧ ⟧傱 ⟧ ⟧傱 ⟧ ⟧傱 ⟧ ⟧傱 ⴲ 屃弌 ⴲ

堿㗝宅

悏㯿

堿㗝宅

悏㯿₸

㗝岛⊡

併憸lowast㜆㗌㜆昷䴷㦲㝷塏

⟡㹽㗌Ɲ 㛯㗌 ἴƝ併憸ỆK

ṳ ⅎ憴奨㔦䬽⎱㲼孱⊼执堳岈⋀㥔⋀Ḳ柦⎱ㆰ㖤Ɲ

㖣敺Əㇸ憸坴䛊䏭Ḣ䮈㩆旃乳⊼䙣ⰼ憸坴≜㖗㛴⋀ 吤憸坴㵯岢ῄ孞Ḳ㔦䬽䛕㨀Ə

敲㔥娔䪲䳻䶙巖执堳˚⊼敲㔥执堳㛴⋀˚櫭䵨憸坴㲼奶Ə敲㔥憸坴㥔⋀˚⊼岮憸凡˚䟻

字㛰⊐㖣憸坴䴁˚⊐䔉㥔凮䵺㿆䙣ⰼ凮ῄ暃憸坴㵯岢俬㫱䚱Ḳ⤁柬㖤˛䛟旃憴奨㔦䬽⎱㲼奶

孱⊼⋬

憸䮈㛪䂡⊼憸坴䦸˚≜㖗憸坴㛴⋀Ə㖣敺晋⅓娘䳻䶙巖执堳Ḳ娔䪲⎱㠟

䬭≜㖗樾㠯Əㆰ执堳㕟ἴ⋽㛴⋀䙣ⰼ嶏⋉Ə憸䮈㛪䬍庒䢡婴㩆prop⎱䮈

㖤Əⷙ㖗敲㔥柬䔚徍Ḳ执堳㥔⋀ƞ⅝㬈Ə滺⋜憸坴㩆㦲⟡㖣䇆怲䬽䕌凮㥔⋀曧

㰩ƏỌ凑㖠㼟怙晵㮜⊼˥敲㔥执堳˦㛴⋀Ə䔘执堳⅓㛪⎱岈憸⅓⏟∌姩˥Ḕ

取㯸执堳⅓㛪㛪执堳凮䬓㖠㛴⋀ᾂ俬ὃḲ凑奶䮫˦凮敲㔥ㆰ䔏䧲Ẳ杉Ƌ$3ƌ

Ḳ堺凮岮㨀㹽Ə敲㔥执堳䬓晵㮜˥⅓敲岮㖀㟌婉˦ⷙ㖣㛯㭊怲ὃƞⅴ

俬Ə憸䮈㛪䂡㔖憸坴㩆㦲Ọ堳⊼壄何ὃ䂡廰⅞堳⊼㔖ếƏ㓛⤎堳⊼㔖ếḲ怲䔏⎱≜㖗Ə

ⷙ懄Ὲ䔏˚憸坴˚曢⬷䥏嬰˚曢⬷㔖ế䬰㔖ếⷌ⅞ㇷ⤁柬㲼奶㭊ƞ㭋Ə䙣˥执

堳䔚媲㥔⋀婍徍ὃ㥔奨滅˦滺⋜憸坴㩆㦲Ⅳ桎梏暑䮈Ə䔏㥔⋀婍徍㖠Ə乳≜㖗


傱 ⟧ ⟧傱 ⟧ ⟧傱 ⟧ ⟧傱ⴲ 屃弌 ⴲ

堿㗝宅悏㯿

堿㗝宅悏㯿₸

㗝岛⊡

110

㊺ⰼ憸坴⎱㛴⋀˛㜓堳乳旃㳏䛟旃㲼ị孱⊼Ə晋䨴㥜⎪凮㲼奶䟻字Ə好㥔⋀䙣ⰼ曧

奨Əᾄ㓁䛟旃奶䔚徍㛰旃㥔⋀˛

㛰旃櫭䵨憸坴㲼奶Ə敲㔥憸坴㥔⋀㖠杉Ə 㛯㗌㭊˥执堳䔚媲Ⅳ䇆ₜ∟˚䚱嬰

∟˚岮䔉⟡䣵嬰∟択⎱凑堳岞峊㥔⋀ㆰ恜Ḳ奶 Ə˦㔥执堳Ƌ暂憸坴㥔⋀堳ƌ

㛰ₜ∟Ḳ昷栴䔘ℯḲⅣ䇆㒌䇆怲岮憸 Ə㔠䂡Ọ执堳㠟䭾⟡㕟姯䭾Ə⟡㖣

㖗凡⎱ₜ∟䮈䏭Ḳ凛『Ə㖗凡ₜ∟㮻䅎ₜ∟姯执堳㠟䭾⟡㕟㮻䍮䮈Əὦ

执堳㖣凑庒梏暑䮈Ə䪲⅞奶㨈Ḳₜ∟惏ἴƏ㓛⤎㻦嶚曧㰩⎱㜓执堳暂䫝

䈔subƞ㖣㛯㗌䙣㭊˥憸坴㩆㦲ὃ㥔⦻姾ẽạ嘼䏭ⅎ惏ὃ㥔prop⎱䧲徍

㲼˦惏㢄㕮Ə媦㕛憸坴㩆㦲ὃ㥔⦻姾ẽạ嘼䏭奶䳴䮈䏭曙䫖⦻ƏỌ㜆憸坴㩆㦲∐䔏

曙䫖䦸Ə㛴⋀㔯䍮Ə㘩Ⅳ桎梏暑䮈凮㫱䚱ƞⅴ俬Ə䂡ᾪ怙䁊䔉㥔䴁Əsupe

Ⱈ㥔㩆㛪ḍ⸝⊼䵺㿆䙣ⰼ⎱supe㔦䧬㔝Ə岈㔦惏姩˥ 岮憸䮈䏭怲䔏⎱媙䧬㢄ὲ Ə˦

憸䮈㛪愴姩˥岮憸憸坴岮䮈䏭怲䔏徍㲼˦⎱⅝䬻暭Əῲạㇽ䇆∐Ṳ㥔忶

怵㲼⬿㔥㖣䙫岮憸䁊岮檻䔉㥔⎱憸坴Ə㓛⤎憸坴䔉㥔奶㨈Əᾪ怙ㇸ

憸坴Ḳ䙣ⰼ˛㜓堳ⷙ娼柬㲼奶櫭䵨㈧䔉䔆Ḳ柦⎱㥔⋀㩆㛪Əḍᾄ㲼ị奶何䛟旃

㔦䬽˚䮈䏭㩆propㇽ㥔⋀䔚媲Əὦ吤㲼ị㔦䬽⟞堳˛

Ⱈᾪ怙憸坴⤁K⋽˚㔖桅䔉㥔Ə憸䮈㛪乳徍䏭˥䌵⋜㜓执堳徍䏭㖗≜憴滅䔉㥔㔥

㬥㖠㠯˦˥㜓执堳supe徍䏭ḔỨ㥔㔥㬥㖠㠯 ƞ˦㭋Ə敲㔥执堳徍䏭Ọ䉠憸按Ὲ姾䚱

㫱䂡㒻ῄ姾执堳娔峑㬥Əḍ媲Ḕ取㯸执堳㥔㥔㥔⅓㛪姩凑奶䮫Əῥᾂ执堳恜

ƞ⎯䪲ự㖖嘔㔝䚱嬰∟䙣堳propƏ敲㔥䙣堳ạ㖣ㇸ䙣堳euro択ṯ㥔岮ạḲ

姯⃠ự㖖嘔㔝䚱嬰∟ƏỌᾂ岮ạ⤁㨊⋽Ḳ憸坴怙堳岮䔉愴何Ə㘩䙣˥

㥔执堳岮㛰⃠嬰∟Ḳ䨕桅⎱昷栴奶˦姊憲ịƏ娘执堳ᾄ婙奶岮ự㖖嘔㔝䚱嬰

∟˛㜓堳乳㔖ḔỨ㥔䙣ⰼƏ㖣Ⅳ桎梏暑䮈䏭Ḳthere4ƏsupeḔỨ㥔㔥㬥⊼僤ƞ㘩娼

㥔⋀曧㰩Əᾄ㛰旃奶Ḣ䮈㩆旃䔚徍㛰旃㥔⋀˛

⋽憸坴㵯岢俬ῄ孞㖠杉Ə憸䮈㛪䂡䞔姊憸坴㛴⋀㥔⟞堳˥憸坴㛴⋀㥔⅓∮˦Ḳ

ガƏ凑嵞敲⦲㖤憸坴㛴⋀㥔⅓∮娼㠟㩆propƏḍ˥憸坴㩆㦲⟞堳⅓

∮ㆰ㳏ヶsupeṲ柬 Ə˦奨㰩憸坴㩆㦲徍䏭⅓䙫凑娼ὃ㥔Ə娼㠟䴷㞃ὃ䂡憸

坴㪉㟌䬰䛊䏭⎪俪ƞ⅝㬈Ə䂡⋽ⅎ惏propḲ昙sube僤⎱恦ℴ㵯岢䈔字ƏḢ䮈㩆旃䙣˥执堳

昙䮫䏭岈䔏㬥柬䛟旃ⅎὃ㥔∮˦˥ῄ暑Ị䏭ạ䮈䏭奶∮˦⎱˥执堳Ⅳ䇆ῄ䵺Ị

㥔⋀㵰Ὲ⎱⬿㬥䫖Ḳ䛟旃ⅎ⋽㖤嘼䏭∮ Ə˦奨㰩憸坴㩆㦲⋽䛟旃ⅎ㖤⎱⋥䨤

㩆propƏỌ䶔孞㵯岢俬㫱䚱ƞ⎯䂡柦ㆰ˥ 曀媅㔦䬽䙣ⰼ喴 Ə˦滺⋜执堳ⷌ勘

媅僤sub⎱䇆怇⎲曀媅憸坴㛴⋀䒗Ə喰㭋ᾂimage峑憸坴曀媅㛴⋀˛㜓堳ⷙ愴⟞堳⅓

∮凑堳娼ὃ㥔˚何䛟旃ⅎ㩆propƏ㖠ἴ吤憸坴㵯岢俬㫱䚱ῄ暃˛⅝㬈Ə㜓堳Ḣ⊼柦

ㆰ憸䮈㛪曀媅䤡䮫堳Ə䍮ℯ娔䪲楽曀媅䤡䮫堳˛

䂡⋽执堳㲼ị恜Ə憸坴䛊䏭㔯僤Ə两䵘㖣㛯㗌⅓˥执堳㲼˦㭊㢄

㕮Ə㜓㬈㭊㕛檻㪉姵佗∮䫇Ḳ佗捗˚姩堳㔦嘼㖤˚奨㰩执堳岇岓ạ恜䫝㥔䥨㭉Ḳ⟡

㜓䛈偞㢄ờƞ憸䮈㛪䙣姊憲ị憲㗵暂岈⋀㹽∮䬓噆˥憸坴ⷌ⅞ Ƌ˦)56ƌ㖤

岮㜓姯䛟旃奶Ḳ恐䔏 Ə˦ḍ㭊䙣˥执堳凑㛰岮㜓凮梏暑『岮䔉Ḳ姯䭾㖠㲼媑㗵⎱塏

㠣 Ə˦Ọ执堳檻䳢Ḳ䩐『⎱凮暂庳˛㜓堳ⷙ⟞堳㲼奶柦娼ḍ奶≪ㆰ㖠㠯˛

111

㜓堳㲼⋀㚏㲼ị恜嘼乳憴奨憸坴㔦䬽凮㲼奶Ḳ姩凮䙣ⰼƏ⎱㘩ᾂ柦㝷˚娼㽂

㩆⎱ㆰ䬽䕌ƞ㖣憸坴㔦䬽凮㲼奶䟻字˚匰㠯㜆敺⎪凮柬姵媽Ə㗐ṭ姊㔦䬽㲼奶㖠Ə

䙣ⰼ嶏⋉Əῥ∐⎱㘩愴怙堳奨媦㕛ƏỌ㜆昴ἵ㔦䬽凮㲼奶姩˚䙣ⰼ㜓堳岈⋀⎱㥔⋀僤怇

ㇷḲ柦˛

䦸㔠孱⎱䔉㥔孱⋽执堳岈⋀㥔⋀Ḳ柦⎱ㆰ㖤Ɲ

㜓堳乳㖣㕟ἴ憸坴嶏⋉Ə㖣晟乳ᾂ≜㖗Ḳ憸坴㛴⋀⥩Ɲ

8EHU7DLZDQ ㇷ䂡77$Ứ㥔ὃ⤌ἛƏ凮㘆ⰼ乳⊼≜㖗˛

䁊⤎sub⊼ㆰ䔏䧲Ẳ杉Ƌ$3ƌ堺Əᾂ䦸㖗≜晱凑䔘˚䴫壄ㇷ㛰≜ヶ䙫

憸坴ㆰ䔏䧲˛

⤎sub⊼䶇剙憸坴Ə䙣ⰼ曉ⲟ梏曢䬰䶇僤坴岮㥔⋀Əḍ乳⊼ḔỨ㥔㔥㬥⎱㕟ἴ⋽˛

≜㖗$3 㖠㠯䙫Ứ㥔⸚㘩䮈䏭㛴⋀Ƌ6($5$3ƌƏ忶怵ㆰ䔏䧲Ẳ杉Ƌ$3ƌ

䦸Ə⊐Ứ㥔怆⸚㬥ẋ㗺岮姱˛

˥㘆弰 3OXV˦喑弰⸚㕛㖠㠯ƏᾂỨ㥔暮Ḣᾦ㛰㔯䍮䙫㕟ἴ⋽㒌喑䮈怺Ə⤎䰈⋽

Ứ㥔㒌喑㴨䧲Ə檿䇆怲㔯䍮˛

柿ℯ㥔≜㖗㕟ἴ⊼ㄲ䢣ƋLJLWDO7RNHQƌ㛴⋀Ə⊐Ứ㥔廼櫭䮈䏭⸚˛

凮 (=7$( 䍏ὃƏ楽≜执堳 $33 凮䶙巖棷棙ḙƏ㘆ⰼ ampDUG$33 Ḕ棷

䙫sube僤Ə䴷 (=7$( Ə廼櫭lowast㈧曧棷Ə㘩䛛ὦ䔏㘆ⰼῈ䔏柷ế姩憸Ə

䫀廼櫭ㇷ棷柷姩˛

㛴ⅴ怙⋽Əℴ廰$33Ọ滅 1( ㇷ憸坴㛴⋀˛

执堳屈㔠孱Ứ㥔㩆䮈䏭Ḳ柦⎱ㆰ㖤Ɲ

㘆ⰼ执烚㷘俼䁊⤁灠ƏỌ暂堳⊼ⰼ䏥䁊䙫嫥ƏⰋ⅝徸㛛⤎憶岮㹷

屈䪲Ə孺㛛⤁䁊ṭ姊㘆ⰼ执堳˛㭋Ə䂡ṭ椲ㇸῸ㈧Ⱜἶ⎱䇆怲䙫䤥Ə㜓堳䛈Ứ

㥔䤥㛪岓ỢƏ娘⤁岮㹷凮ạ灜㉝䤥㛪Ứ㥔䬰䛟旃⅓烩㴢⊼˛

勌恔怮柦㜓堳屈Ḳ憴⤎ṲờƏ㜓烚ㆰ㖤Ə䛟旃ㆰ㖤媲⎪䅎㜓䫇˥˚㩆嘼䏭

ㆰ孱㩆prop Ə˦灆㛰曧奨䙣姧㘩Ə䔘㜓烚暭䬽䕌㚏ₚ姱嘼䂡䵘䙣姧䩾Ə䢡ῄ䛟旃

㺄态姱ざḲ䵘˛

112

ṻ 怙堳峣Ḳ柷㜆㔯䚱˚僤梏暑⎱ㆰ㖤Ɲ

㜓堳ⷙ㖣㯸㛯㗌凚㛯㗌怘㜒柭∐ㇷ凮㾚䛂䁊㵯岢憸坴嘼峣䧢弰ὃ㥔Ə

晋ṭ㛰 ⤁ἴ㾚䛂䁊ⷌsupeƏṆ凰䂡㜓堳⸝Ὥ嵬怵吓㖗Ə两㕟㘖峣there4

㗉㛰㕟䙫 ῴƏⰋ⅝ỌῈ䔏凮岈䮈䏭㛧⤁˛㭋㬈ῲạ憸坴⎱岈䮈䏭㥔⋀ㇷsube㕛

Ə屈㘆ⰼ执堳ῲ憴奨䙫憳䧲䡸Ə㜓堳忶怵㭋㬈峣Ə⤎㓛⤎䁊䙫例Ə怙㭌⋽

㘆ⰼ执堳䁊㵯岢憸坴⎱岈䮈䏭柿⟆䙫image⋉Ə怇㕛柿ℯ䙫㕟ἴ憸坴Ə䂡⸝Ὥ㛛

⤎⃠Ə≜怇㛛supeヰぬ䙫执堳檻樾Ə㷘俼䁊˛

Ὲ䔏㥔⋀㖠杉Ə㜓堳㾚䛂䁊惏ḲῈ䔏䔉⎱Ə䴁ḍ何㖗Ὲ䔏㠟䮈䏭䳢

䵘⎱䌵⋜姯䕒䮈䏭䳢䵘ƏỌᾂ㛛㕛ḍ⤁K⋽䙫Ὲ䔏㛴⋀⎱infin䌵⋜椲㖠㠯˛㭋㬈

峣ḍ柦䔏㫱䚱Ə凑㯸㛯嵞Ə㜓堳ẍ晟乳Ḣ⊼态䟌䂡䙣䛟

ㆰ䙫Ὲ䔏˛㜑Ὥ㖗䔉Ḳ䟻䙣䬽䕌㖠杉Ə吾憴㖣䛕there4ạ⥤䙫˥棂堳䧲˦˥䏥憸

椲˦˥䳬∐䨴滅˦⎱˥㦕䦕怮˦⤎㛴⋀娛㰩Əᾂ⤁K⋽䙫䔉恟㒮Əḍ㐔愴˥䉠䳫

Ὲ䔏㜆ế㬥˦⎱˥Ὲ䔏⸚ 䬭ẋ㗺㜆ế㬥˦㛴⋀Ə㻦嶚例Ḳ㵯岢侹ㅊ⎱

㔖ế曧㰩˛㖣䔉堳択㖠杉Ə㘆ⰼƋ䁊ƌ䙫䈳䟌㖣岈䮈䏭˚䏭岈⎱㵯岢岟㬥㥔⋀忷

ⷙ㛰桖吾䙫怙㭌Ə俪憶㵯岢憸坴例Ḳ䈳䱿吾ᾩ䂡㥔⋀㊺ⰼ⎱㖗敲䙣䙫憴奨旃捜Ə㜓堳

䨴㥜Ὲ䔏Ḳ䈳䟌㖠杉䙫岮凮䵺䇆˛㘩柭ㆰ㕟ἴ憸坴Ḳ䙣䔉嶏⋉Ə㜑Ὥ乳䨴

㥜㊺ⰼῈ䔏䶙巖执堳㚏㕟ἴ执堳㛴⋀ⅎ⎱sube僤ƏỌᾂ㛛ᾦ∐䙫Ὲ䔏⎱㔖ếⷌ⅞㛴⋀

䄈㒻ῄ岟㬥㥔⋀㖠杉Ə㭋㬈峣㜓堳ẍ㘩㾚䛂䁊惏Ḳ䄈㒻ῄ岟㬥㥔⋀Ə⋬刓❲

ῲạῈ䔏岟㬥˚⎲imageデ岟㬥⎱⎲态Ὲ岟㬥䬰Əᾄ㓁Ḳ梏暑ⱓ『⎱⭊䮧『岮憸曧㰩ᾂ⤁

㨊⋽䙫䔉㖠㠯Ə㻦嶚岮憸术㴢怲䔏Ḳ曧奨˛敞㥔⋀⊼僤⎱岮䔉奶㨈䙫㘩Ə㛛supe憴好


䁊䛛㘖㘆ⰼ执堳䙫䬽䕌憴滅ḲƏ忶怵㭋㬈峣Ə㘆ⰼ执堳㖣䁊ⷙ⤎㓛⤎例Ə㛰

㔯ṭ㵯岢憸坴奶㨈ḍ㛰㩆㛪㷘俼䁊Ὲ䔏曝˚䔉凮㓛⤎䵺䇆ⱋƏ㛰⊐㖣

㜑Ὥ㜓堳㵯岢㥔⋀Ḳ乳䩐ㇷ敞˛

⅔ 㓛ℬ䇆㥔㓁滅Ḳ柷㜆㔯䚱˚僤梏暑⎱ㆰ㖤Ɲ

凚㗌㭉Ə㜓烚⅘㛰 ῲ䇆㥔㓁滅Ƌ两堳⎱ 堳ƌƏ㖣⋾˚㖗⋾˚

㠪˚㖗䫠˚Ḕ˚⎱檿暫Ə⅘姯⤎Ḣ奨䙭娔㛰烚㓁滅˛

ㆰ㕟ἴ憸坴㛴⋀䙣ⰼƏ愴䵺䇆䬽䕌媦㕛⎱㵯岢憸坴㖣䁊Ḳ䫝䈔subƏ㜓堳乳䨴㥜image⋽

堳⎱岈䮈䏭㛴⋀檻樾Ə忶怵㗉㛰䇆㥔㓁滅䙫恞䧢凮㕛Ə惏Ụ堳怙堳恞䧢Ḳ娼

奶≪Əḍ恟堳㖗Əὦ㛛僤Ẓ㛰㘆ⰼƋ䁊ƌᾂ㕛⎱⤁K⋽䙫憸坴㛴⋀Ə䏥

㛴⋀Ḳ嫥Ə怙俳檿堳䶃㔯Ə㓛⤎⟡䣵ƏỌ∐㜓堳㵯岢憸坴˚岈䮈䏭㥔

⋀˛㭋Ə㜓堳䦰˥㘆ⰼ执堳剖⥤䙫Ứ㥔怺㕮⋽˦䙫䲥䥅Ə⅘䙣凛sub㖣䶔孞ḵ怺䙫

堳䂡㨀㹽˚恜忶㗵⑳执堳奶䙫㕮⋽Ə⋽ⅎ惏propƏ杉䒗怆孱恞ƏẴ僤懄䇆㥔

㓁滅僤杉Ḳὃ㥔梏暑Ə娼prop梏暑䬽灈Ə䛊梏暑Ə怙堳䮈˛

113

㥔⋀暭Ḕ㈧杉减Ḳ梏暑⎱ㆰ㖤Ɲ

梏暑暭Ḕᾩ执堳Ὲ怵暭Ḕ㖣ỢἼㇽ暭˚䉠Ḳ˚䔉㥔˚䔉˚ẋ㗺桅❲˚ㇽ

岮䔉䴫Ə凛僤䔉䔆Ḳ⤘˛

㜓堳恜㜓执堳㲼䬓Ḳ㢄Ə㜆朙ḍ㲼ạ˚凑䄝ạ˚旃ᾩạ˚

旃ᾩỨ㥔昷栴塏Əḍ懄ㇽ暭ῈƏᾄ䅎Ὲ娼䬰䴁Ə姩ⅎ惏Ὲ昷栴˛晋⤎

栴㛄暑䮈䏭Ə㜓堳ẍ懄梏暑凮䔉㥔梏暑暭Ḕ䮈Ə䅎凮Ḣ奨䔉㥔娔Ὲ昷栴ḍ

supeỌ䛊ƏỌ㜆恐㕊梏暑Ə㮶㛯ẍⰘ柬㥔⋀暭ḔガῈ䔏梏暑⦻㛪˛

⅒ 䵺䇆㫱Ḳ㔠孱执堳Ḳ柦˚梏暑⎱ㆰ㖤Ɲ䄈˛

Ṅ 告Ṳㇽ傈嵬怵䙥ḲḲ⤎傈㝘Ə傈㫱Ḳ⤎憶䧢弰ㇽ㛛执堳Ḳ柦˚梏暑⎱ㆰ㖤Ɲ

䄈˛

凚㛯㗌㭉Ḳ憴⤎娛娆ㇽ杅娆ṲờƝ

㜓堳惏Ứ㥔憸坴ὃ壮曃『檿梏暑場䔆『憸坴ẋ㗺Ƌ⥩Ɲ䛕㨀峽恇㜆⤸䳫

˥7DUJHW5HGHPSWLRQ)RUZDUG˦䔉䔆⤘Ə怙俳Ⱈ䛟旃ẋ㗺䈔字Ƌ䨘˥75)䈔字㠯ờ˦ƌ

㜓堳ㇽ䛟旃Ḣ䮈㩆旃䔚娛˛㜓堳⟡㖣⅓ẋ㗺凮ῄ孞㫱䚱Ḳ∮Ə㖣䍙䔚娛

ⅎ惏䛟旃䈔字嘼䏭ὃ㥔䧲˚奶䮫⎱Ḣ䮈㩆旃Ḳ䨴㥜凮ḍ姊㱡䈔字˛惏 75) 䈔字

㠯ờḲ䈔字Ḕ取㯸ộ墨㛪ếộ墨ㇽ岈㲼ạ憸坴娼字ḔƋ䨘˥娼字Ḕ˦ƌ

媦嘼Ə䛕there4ⷙ䄈ộ墨㠯ờƏテⰁ㛰㠯ờ㖣娼字Ḕ䏭Ḕ˛㜓堳晋ⷙ㭋Ṳờ⬿峇

⤘㹽₀Ə⸚⇾˥岇ₜ㹽₀Ɛ⅝ẽ䇆㥔㹽₀˦柬Ƌ媲婚㜓堳岈⋀㚏㛪姯㟌㠟昫娢⅔Ƌṳ

ƌ媑㗵ƌƏ乳䨴㥜凮䈔字㠯ờḲḍ㳏ヶ㈧㛰 75) 䈔字㠯ờḲ嘼䏭怙⎱

䙣ⰼ˛

⅝ẽ憴奨梏暑⎱ㆰ㖤Ɲ䄈˛

114

Ʊ∯㤝唓䋄ょ婈㤝濣

䂡嘼炶僤怇ㇷ㜓烚䇆怲Ḕ㖞䙫杅柷㜆憴⤎䁤曊ṲờƏ㜓烚ⷙ㓓姩㩆嘼䏭ㆰ孱㩆propƏ㗵姩䨕䶱

「Ṳờ桅∌Ḳ侐˚梏暑ⱋ䴁˚䛟旃㫱岓ἴ⎱嘼䏭䧲⥩Ɲ

㩆䮈䏭⦻㛪㜓堳˥㩆䮈䏭⦻㛪䔘˦两䵺炶ḢƏ䂡僤㛪憴柦㜓堳䇆怲䙫憴

⤎Ṳờ檿晵Ḣ䮈姩䬽灈⑳嘼炶䙫奶䮫˛䕝䙣䔆憴⤎Ṳờ㘩Ə䶱「ㆰ孱䴫暭ạ

暭䴫䛟旃ㇷ徬怆䶱「ㆰ孱㖤Əḍ暏㘩Ṳờ⎱嘼䏭怵䧲˥ 㩆䮈䏭⦻㛪 Ə˦

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R-atildegydaggerƒgh5ijuacuteAringF

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aacuteUgraveìrsquoh⁾yUumldaggerhiacuteiumlg+ltgt⁽₁aacuteagraveoslashœ˝-_X₈

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bullsbquobdquoprszlig

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-j notpμdegnotpdegW

ntildeV WnottradeμdegnotpdegW

plusmnFVplusmniexcl degμaeligcedil

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bullsbquobdquoauml

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Uumldaggerhiacuteatildeg -1uv

frac34atildegsup2y -_Igraveatildegyš⁾žNtilde bullsbquobdquoprszlig

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psbquo

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Uumldaggerhiacuteatildeg

aacuteUgraveiumlg bullsbquoRLRpsbquo atildegy

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bullsbquobdquoprszlig campatildeg

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ⁿ ˆdaggertradedegfrac12yaringv$$₀daggeruuml

bullWbdquoprszlig campatildeg





aacuteUgraveiumlg

₁aacuteagrave μWaeligcedilsup1 Lnottradetradebullnotpsbquosup1 eumlfrac345aacutefrac34 sup1

ⁿ ˆdaggerdegdegfrac12yaringv$$₀daggeruuml

pμ

R-egravendasheatildegUVoparaG bullsbquo bdquo5 bullW bdquoaumlfcentOtildeecircsup2yyŒ5

XfflumloslashiexclcentkAringF

tradeR2(atildegžNtildeyydagger5OcirclszligAringF

XfflfcentatildegžNtildeycediliexclaeligcent

bullsbquobdquorszlig μWaeligcedilsup1

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UumldaggerhiacuteatildegaacuteUgraveiumlg

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bullsbquobdquoprszlig notLbullsup1


bullWbdquorszlig sup1



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bullWbdquoprszlig μWaeligcedilsup1

qrr qr qrbdquo



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₁aacuteagrave

ydagger bullsup1 pdegbullsup1 Wsup1

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qrr qr qrbdquo

bullWbdquoprszlig


aacuteUgraveiumlg

₁aacuteagrave

ydagger bullbullsup1 bullsup1 bulldegsup1

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Ocirclszlig

Ocirclszlig

bull

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5 bullW bdquo p r szligocirc+-Uuml5igravefrac34bfrac34sup2yYZshyeiumlgg

˚+⁶⁷⁸ⁿ3cedilmdashaeligp

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-igravefrac345bfrac34sup2YZyfrac34ordfIcircocirc8rV

cedilotilde aeligXffldaggerƒghmacruuml


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ntildeV ppnotdegpnotLWμ pdegnotdegdegnotpp

plusmnFacutemicrocedilcurren psbquoWnottradeWLaeligcedil μnottradebulldegaeligcedil

oslash V ppnotpLnotpbullsup1 pdegnotpnotsbquopWsup1


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|aacute tradeμnotbulltrade pLnotpWL

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frac34sup2 notbullμpnotp notbulldegnotWL

ntilde V pdegtradenotμμnotdegtradedeg pdegμnotWμnotLWdeg

plusmnFacutemicrocedilcurren notdegLnotsbquoLsbquoaeligcedil notdegWbullnotpaeligcedil

oslash V pdegnottradenotLWWsup1 pdegLnotppnottradeLpsup1


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cedil aeligmacrih5⁵acute macruuml

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-paraG bullsbquo bdquo5 bullW bdquo p r szligAı2(macrih5⁵acutebrvbareuml

regyCcedilEgrave

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ugraveIgravesup1pnotdeg ETHfrac12-oparaG bullsbquo bdquo5 bullW bdquo p r szligcurrenampTHORNfrac14euml

5 OPfcent

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bullsbquobdquorszlig

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VUcirciexcl5

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bullsbquobdquoauml

rszlig notbullLnotbullsbquoμsup1 ptradetradenotLpWsup1 pdegdegnotbulltradeWsup1 WnotWLpsup1 ptradenotpLsup1 Lsup1 notsbquotradenotμLWsup1

lsaquocedilⁿaelig nottrade WnotμdegW μnotsbquosbquodeg pbullnotWdegμ Wtradenotbulldegsbquo ptradenotbullWp

Bk notpLdeg degnotdegμ pnotptradeL degbulltrade WtradenotWtradeaeligcedil

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Ucirciexclagravee WnotsbquobullWaeligcedil sbquonottradeWbullaeligcedil ppnotμWWaeligcedil sbquonotsbquoWdegaeligcedil pbullLnotpμaeligcedil

macreacute₁aeliguuml sbquobull Waeligcedil Laeligcedil LW

prszlig notbullbullWnotLLsup1 ppμnotpsup1 pbullnotWtradesup1 WsbquonotLsbquobullsup1 LμnotμpWsup1 sup1 notWdegnotμtradeμsup1


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VUcirciexcl5

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5 OPfcent


bullWbdquorszlig

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VUcirciexcl5

plusmniexcl pWnottradepaeligcedil tradeLnotbullpμaeligcedil degbullnotμsbquoaeligcedil tradenotLbullLaeligcedil degpμnotLdegaeligcedil notLWdegnotpbulltradeaeligcedil

notbullLnotbullsbquoμsup1 ptradepnotμdegsup1 pdegnotWbullsbquosup1 tradebullnotptradedegsup1 pμnotbullbulltradesup1 tradepsbquonotbullpsup1 pnotpbullpnotbullbullμsup1

bullWbdquoauml

rszlig notbullLnotbullsbquoμsup1 ptradepnotμdegsup1 pdegnotWbullsbquosup1 tradebullnotptradedegsup1 pμnotbullbulltradesup1 tradepsbquonotbullpsup1 pnotpbullpnotbullbullμsup1

lsaquocedilⁿaelig Wnotbullp degbullnotsbquotradetrade pWnotLW LsbquonotμW tradeWnottradetrade degnotsbquoLtrade

Bk Ltradenotsbquo pdegnotWWp pnotdegbull WWdegnotbullaeligcedil LLnotsbquopdegaeligcedil

k μaeligcedil tradeWbullaeligcedil pμtradeaeligcedil sbquosbquoaeligcedil

Ucirciexclagravee degnotLWaeligcedil WdegnotLpdegaeligcedil pnotLbullaeligcedil μtradenotμptradeaeligcedil pbullWnottradeLaeligcedil

macreacute₁aeliguuml degL sbquo W tradesbquo

prszlig notbullLnotbullsbquoμsup1 ptradetradenotLpWsup1 pdegdegnotbulltradeWsup1 WnotWLpsup1 ptradenotpLsup1 Lsup1 notsbquotradenotμLWsup1

bullWbdquoprszlig


VUcirciexcl5



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p

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cedilUacuteaeligOPagravelsquoOa

paraG bullsbquo bdquoaumlndashe

R-OPywxghEcircł55X⁸ł⁵acute5Xffl⁵acute+OP

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Ntilde

pRdefghycurrenyenuv=campyUcirciexclagraveeg˚AringF

R-oparaG bullsbquo bdquoaumldefghylsaquoIgravesup1pμμnotbulldeg ETHfrac12

tradeR=OPoslashœOacuteZyiexclcentsup2yg˚AringF

degR-oparaG bullsbquo bdquoaumlOPUumldaggerh|duumlIgravesup1degdegWnotdegWbull ETHfrac12

LReotildeOœyagrave⁶⁷⁸ⁿOtilde cedil aelig

bullsbquobdquoprszlig bullsbquobdquoauml

55X⁸ł⁵acute pnotLpLnotsbquodegpsup1 degμnotbullbullsbquosup1

⁵acute μnotptradetrade notsbquoLsbquo

Xffl pnottrade pnotsbquoW

pnotWpbullnotdegbullWsup1 μnotpLsup1

bullsbquobdquoauml

DEccedilliexclcentysup2y

OPijyyacuteagravee pμnotsbquosbquosup1

łnlOPoslashœyagravee sbquonotLtrade

łtuvghOPyagravee Lnotμbullbull

ìOPthornyagravee bullnotWsbquoμ

EumlicircOdefghycent pnotμμsbquoaeligcedil

eotildeOœagraversquoh⁾yiexclcent pnotdegaeligcedil

cedil3aeligbgOgravemacrihmacruuml

-bgOgravemacrihyì⁶⁷6F

R-yacuteOacuteybgOgravemacrih-1uvoparaG bullsbquo bdquo5 bullW bdquo p r

szligkmIgravesup1WWnotWtrade ETHfrac125sup1μtradenotbullL ETHfrac12+ˆ-regiquestlaacuteacircagrave

uaumlntilde01+XˆłK3aringz-1uv

pRparaG bullsbquo bdquo5 bullW bdquoaumlbgOgravemacrihh⁾yOdaggereumlugraveIgravesup1bull frac12para

G bullsbquo bdquo5 bullW bdquoaumlyccedileacutefrasl⅝agraveekmIgravesup1tradeLL ETHfrac125sup1tradeWtrade ETHfrac12

ucircuuml 5 oslashV


ecirc μsbquonotbullbullbullsup1 degμnotdegμbullsup1 pdegWnotdegμbullsup1

VUcirciexcl5plusmniexcl WnotWLaeligcedil WnotWLaeligcedil

μsbquonotbullbullbullsup1 tradenotsbquopμsup1 μnotsbquopμsup1

bullsbquobdquoauml

rszlig μsbquonotbullbullbullsup1 tradenotsbquopμsup1 μnotsbquopμ

Ucirciexclagravee nottradeμaeligcedil nottradeμaeligcedil

prszlig μsbquonotbullbullbullsup1 tradebullnotμbullsup1 sbquonotμbullsup1



VUcirciexcl5plusmniexcl μnotpbullbullaeligcedil μnotpbullbullaeligcedil

μsbquonotbullbullbullsup1 tradebullnotμbullsup1 sbquonotμbullsup1

ucircuuml 5 oslashV

bullWbdquorszlig


VUcirciexcl5plusmniexcl Lnotpaeligcedil Lnotpaeligcedil

μsbquonotbullbullbullsup1 tradenotpLμsup1 tradenotpLμsup1

bullWbdquoauml

rszlig μsbquonotbullbullbullsup1 tradenotpLμsup1 tradenotpLμsup1

Ucirciexclagravee nottradetradeaeligcedil nottradetradeaeligcedil

macreacute₁aeliguuml

prszlig μsbquonotbullbullbullsup1 tradenotsbquopμsup1 μnotsbquopμsup1

bullWbdquoprszlig




trade

cedilmdashaeligAEgraveghmacruuml

)₃ ghZˆ oslashV


ecirc notpWμnottradesup1 sbquobullnotWLsup1 notLdegμnotsbquoμWsup1

Vyuml~ degbullWnotWbullLaeligcedil pbullbullnotbullWμaeligcedil WbullWnotWsbquodegaeligcedil

WWnottradepsbquosup1 sbquobullnotLsbquotradesup1 μdegpnotpsup1

bullsbquobdquoauml

rszlig WWnottradepsbquosup1 sbquobullnotLsbquotradesup1 μdegpnotpsup1

llsaquoccedil WtradenottradeWsbquo WtradenottradeWsbquo

lkccedil psbquoaeligcedil psbquoaeligcedil

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macreacute₁aeliguuml Ltrade Ltrade

prszlig Wμnotsbquotradedegsup1 degWnotWsbquosup1 WWWnotbullpsup1


ecirc nottradetradesbquonotWsup1 sbquobullnotWLsup1 notsbquopμnottradeWLsup1

Vyuml~ WpsbquonotsbquoLsbquoaeligcedil pnotdegsbquodegaeligcedil notbulldegpnottradedegaeligcedil

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)₃ ghZˆ oslashV

bullWbdquorszlig

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Vyuml~ notsbquosbquoaeligcedil notsbquosbquoaeligcedil

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bullWbdquoauml

rszlig sbquosbquonotbulldegsup1 sbquobullnotWLsup1 degLsbquonotWWsbquosup1

llsaquoccedil degbullnotμWμ degbullnotμWμ

lk sbquoaeligcedil sbquoaeligcedil

lBk LnotWtradedeg LnotWtradedeg

yuml~agravee sbquonotptradepaeligcedil pbullbullnotbullWμaeligcedil sbquonotpaeligcedil

macreacute₁aeliguuml aeligcedil aeligcedil

prszlig WWnottradepsbquosup1 sbquobullnotLsbquotradesup1 μdegpnotpsup1

bullWbdquoprszlig




deg

cedilaaeligXfflghmacruuml

-paraG bullsbquo bdquo5 bullW bdquo p r szligbrvbareumloZâyeuml|regtdagger⁶⁷⁸

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cedil⁹ aeligocircntilde5rntildecentyeneumlfrac34

-ocircntilde5rntildecentyeneumlfrac34oparaG bullsbquo bdquo5 bullW bdquoaumlcampyyacuteagravee⁶

⁷⁸ⁿOtilde cedil3egrave aelig

cedilOtilde aeligRp˜iexclcentpound-1uvegraveiacuteydaggerƒij


sup3thornfrac34sup2 ptradenotsbquosbquosup1 μbullnotsup1

euml|regtdagger notpμnotsbquoμbull degbullnotbullbullp

lsquoyacutereguml pnotsbquoW LbullnotLbull

XfflTHORNfrac14gh degnotbullW Wnotsbquop

Xffl tradenotdeg pdegnotWbullW

oslashV notLLWnotbullsbquoLsup1 WtradenottradetradeLsup1


centyenotildeigrave pLbullnotbullbullbullsup1 sup1

Rprntildecentyen degpnotpWμ WsbquopnotμμW

centyeneumlfrac34 tradeLnotWdegdeg degtradenotsbquodegbull

oslashV tradedegμnotbulltradesup1 sbquoWnotsbquotradeWsup1


yacuteOacuteagraveydaggerƒij


aacuteoslashœ pnotsbquobullsbquonotLbull pnotμnotdegbull

AdaggerUcirclaacute pbulldegnotp pnottradeWW

yacuteUgrave₁oslashœ notsbquodegnotLpbull pnotbulldegsbquonotbullμL

₁aacute₁yacuteoslashœ Wpnotμdeg LbullnotμsbquoL


vumliumligravef Lbullμ

fcent₁ tradedegW

ntildeV tradenottradesbquonotppdeg tradenotdegbulltradenotpLp

aringatildecampacute-_IgraveRp˜iexclcent

pound-1uvegraveiacuteydaggerƒij

daggerƒju pnotbullμsbquonotLL

aringatildecampacute-_IgraveRp˜iexcl

centpound-1uvegraveiacuteydaggerƒ

ij0uŒordm bullWnotWbullsbquoaeligcedil

ntildeV notμμbullnotμbullsbquo

oslashV tradenottradesbquonotppdegsup1 LnottradeμdegnotWbullsup1

L

R8-$ntildey_yacuteUgravejžNtilde+⅝eš⁾daggerƒžNtildecentntilde₄atilde

g+˝-yiumlgDagger~centecircš⁾daggerƒžNtildeˆRp˜iexclcentpound-1uv

egraveiacute+IgraveAcirc$UVmacrUacutes+-oaringatildecampacute+ı2(daggerƒju-_

IgraveRp˜iexclcentpound-1uvegraveiacuteydaggerƒij+Xil$ntildeAringF

-IcircoparaG bullsbquo bdquo bull r L szligo$ntildelsup1~brvbarIacuteœ2(daggerƒ

ju

pRparaG bullsbquo bdquo5 bullW bdquoauml-_IgraveRp˜iexclcentpound-1uvegraveiacuteydaggerƒijX

-1uvìccediliumlegraveoshyeiumlgìydaggeruumlkmIgravesup1notμ ETHfrac125

sup1sbquonotptrade ETHfrac12

R-Rp˜iexclcentpound-1uvegraveiacuteydaggerƒijoparaG bullsbquo bdquo5 bullW bdquoauml

campymacryacutecent⁶⁷⁸ⁿOtilde cedilmdash aelig

cedilTHORN aeligbthornfrac34sup2

h˛yenuuml

oslashyenyacuteUgrave

$ntildelm

6Žordf

$ntildeuauml

Ocirclœuauml LtradeRμWtradeWμtradeLyuml

ooslashyendaggeruumli$ntilde

bulltradebdquoKUacutelAregiI

dagger Lbullnotbullbullbullnotbullbullbullfrac12

_yacuteUgrave+bullyuml

mdashbdquocedilparaGbulltradebdquobullrLszlig$ntildeaelig

OcirclUacutecopy6


bthornlsquocurrenfrac34 pnotWsbquodegnotsbquosup1 notdegbullnottradeWsup1

bthornlsquoeacuteaacuteoslash Lbullbullnotsbquopdeg sbquodegnotLtrade

bthornžSg5Qdagger sbquotradeWnottrade WLpnotpp

bthornyacute degpnotμLtrade LLtradenotμp

bthornTfrac34 μdegnotWtradeμ notLtradesbquo

bthornshyepUcircfrac34 Wnotsbquodeg

b˘frac34 nottradetradeW nottradeLp

bthornAagrave degLnotWWW tradenotLsbquodeg

bthornfraslyenbrvbar5brvbar μnotpWdeg μtradenottradebullbull

bthornTfrac348₁oslashp WWnotdegtradeμ degLnotW

Xfflbthornfrac34 sbquotradebullnotbullLμ WμbullnotLtrade

oslashV LnotμnotWsbquopsup1 degnotdegμnotsbquotradesbquosup1

W

cedilegrave aeligeumlfrac345aacutefrac34

cedilotilde aeligbthorndaggerƒju

cedil3 aeligXffldaggerƒij

cedil3Uacuteaeligij3acute

-paraG bullsbquo bdquo5 bullW bdquoaumlyXfflfraslyen3acuteìCcedilEgraveAringF


oslasheumlfrac34 Lμpnotbulltradetradesup1 degtradenotLWbullsup1

szligleumlfrac34 sbquoμnotsbquobullLnotpWL WnotbullLnotWWsbquo

_leumlfrac34 pbullnotdegnotbullsbquoL pdegsbquonottradetradesbquonotpsbquodeg

eumlfrac34 Lpnotpnotdegsbquobull LpnotbullnotLbullW

middoticirc+_leumlŠ tradenotbullbullbullnotbullbullbull

aacutefrac34 tradebullnottradeLbull psbquonotdegW

oslashV LnotWnottradetradeLsup1 μsbquonotbullLLnotsbquoWWsup1


copyIdaggerƒju pnotμμμnotdegWdegsup1 notbullWpnotμdegbullsup1

h˛yenuuml


$ntildelm

thornŽordf

6Žordf

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AacuteUumliexclcent

ju pnotLμWsup1 sbquonotdegtradesup1

bthorndaggerƒj degnotsbquopdegaeligcedil degtradenotbullWdegaeligcedil

yacuteUgravefrac34Yacutevuml pWnotdegsbquoaeligcedil pμnotLsbquodeg

aacuteUgravefrac34Yacutevuml μsbquoLnotdegdegdeg μWtradenotWp

Xfflš⁾daggerƒžNtilde μnotbullW Wnottradetradetradeaeligcedil

ntildeV μμnotsbquosbquo notbullLnottradepsbquo

Rp˜iexclcentpound-1uvegraveiacuteydaggerƒgh5ij0

uiexclcent

ju Lnotpsbquo LnotWpdegaeligcedil

bthorndaggerƒj bullnotWLaeligcedil sbquonotWsbquo

yacuteUgravefrac34Yacutevuml μsbquonotptradep sbquoLnotdegμμaeligcedil

aacuteUgravefrac34Yacutevuml tradepnotpdeg pLnottradeLbull

Xfflš⁾daggerƒžNtilde notbullbull

ntildeV LLnotμdeg pbullsbquonotsbquodegtrade

oslashV notbullLnotsbquoLsup1 notpWbullnotpsbquopsup1

tradeL

5 i j Icirc Aacute Uuml iexcl cent cedil Ecirc Euml k cent cediliexcl aeligk m sup1sbquosbquoμnotdegWbull ETH frac12 5

sup1notbullbullμnotsbquoW ETHfrac12+yacuteeumlsup1tradeμW ETHfrac125sup1bull frac12˝5yacutemacriexclcent sup1tradeμnotsbquotrade

ETHfrac125sup1degnotdegμ ETHfrac122(0uiexclcentiquestIcircregiacuteshyeiumlg0uŒordm

pRyacuteUgravefrac34YacutevumlEcircłyacuteUgrave₁oslashœ5yacuteUgravel₇

RaacuteUgravefrac34YacutevumlymacrcentEcircłaacuteoslashœ5AdaggerUcirclaacute5₁aacute₁

yacuteoslashœ5aacuteiumligravefyIcircAacuteUuml5AtildeAacuteUumliexclcent

cedilmdashUacuteaeligXfflyacute˝macrcent

cedilmdash3aeligcedilcurrenagravee5lsquož5regt=3acutebrvbareuml

cedilmdashmdashaeligž˙yacuteagravee

Ro-Icirc˚^_+-occedilbdquoaumloacuteyacutelt$Oacuteiexclotilde+Aring4

Oacutetimesuuml+bbrvbarBAtilde bullRbullbullyumlIgravežIumlcopy

pR-paraG bullsbquo bdquo5 bullW bdquoaumlžIumlcopyôaacutebdquoaumlyoacuteyacuteCcedillt+˝

bullRbullbullyuml1amp+1ampdaggeruumlkmIgravesup1L ETHfrac125sup1p ETHfrac12+currenampSgagraveeOuml

y+gt2(žIumlcopyı˜UumldaggeryŽordf$igrave

-L˝Uf₎$igraveyparaG bullW bdquoaumlžIumlcopy=paraG bullW bdquoauml

9I[campydaggeruumlUacutes+Oacuteaelig 4poundUV1Vì~


9hagraveyacutecent tradenotsbquotradetradesup1 pnotdegsup1

OPeuml degnotsbquobull LnotbullWdeg

ghIoslashiexcl degnotdegWaeligcedil μpaeligcedil

Xffl Wbullnotdegsbquo tradeLnotWWW

oslashV bulldegnotsbquobullLsup1 WnotbullLLsup1


cedilcurrenagraveecedil1icircaeligUumldagger5œccedilUumldagger pnotbullsbquosbquoaeligcedilsup1 pnottradetradedegaeligcedilsup1

cedilcurrenagraveecedil1icircaeligeumligraveocircntilde5otildeugraverntildecentyen pbullaeligcedil notdegbullaeligcedil

cedilcurrenagraveecedil1icircaeligUuml5igravefrac34 WsbquoμnottradeW sbquoμtradenotμμL

cedilcurrenagraveecedil1icircaeligbcurrenfrac345Xffldaggerƒgh degpbullnotμsbquo pWdegnotsbquoμ

cedilcurrenagraveecedil1icircaeligXfflgh Waeligcedil

regt=3acute5ƒglsquož3acute5Xffl3acutebrvbar

eumlcedil1icircaelig bullμnotWLW bullnotdeg

œcedilcurrenyacutecent degpnotLtradeaeligcedil degdegμnotWμdegaeligcedil

oslashV sbquoμnotWbullLsup1 LWnotμμsup1


Sgagravee notμpμnotsbquoμsup1 notWbulldegnotdegsbquoWsup1

copyOcircregagravee pLnotsbquodeg ptradeWnotbulltrade

˘ˇdaggeragravee WtradenotL LμnotbullW

Xfflž˙yacuteagravee bulltradenotbullbull pWnotpW

oslashV tradenottradeLμnotμWsup1 tradenotptradesbquonotsbquosbquotradesup1

tradeW

-L˝U˜5bUf₎yžIumlcopyYZg˚middot-qg

˚UumlYacuteTHORNszligagrave

cedilmdashaaeligUcirciexcl5yuml~agravee

cedilmdash⁹ aeligXfflyen5Dagger~agravee

cedilmdashOtilde aeligrsquodividebrvbar

Rrsquodividebrvbaragravee

cedilaeligrsquodividebrvbaragraveeOtildeecirc kF

cedilpaelig=XfflumloslashiexclcentYZyrsquodividebrvbardaggeruumlF


macrih5⁵acuteUcirciexclagravee pbullLnotpμsup1 pbullWnottradeLsup1

defghUcirciexclagravee μnotpdegW

bgOgravemacrihUcirciexclagravee nottradeμ nottradetrade

AEgraveghyuml~agravee tradeμnotLbull sbquonotp

XfflTHORNfrac14ghyuml~agravee Wtradenottradesbquo

oslashV μdegbullnottradepsbquosup1 LLtradenotdegpLsup1


cł-Aagrave Lbullsbquonotbullμbullsup1 degsbquonotWLWsup1

Odagger μnotpbull tradedegsbquonotLbullμ

brvbar_ tradedegμnottradedegdeg tradeWWnotpμ

reggagrave sbquotradenottradepsbquo WnotdegLsbquo

mdashugraveagrave WsbquonotpLL LnotLLbull

uacute[agrave bullnotbullbull ppdegnotpμ

Xffl μnottradebull μtradenotp

oslashV pnotdegWnotdegsbquodegsup1 pnotμsbquobullnotsbquosup1


lrsquodividebrvbar

lrsquodividebrvbaragravee sbquoμnottradeLbullsup1 tradebullWnotsbquoLbullsup1

AtildekAEligethtimesrsaquo` nottradeμp nottradetradep

˝Iacutebdquoaumlrsquodividebrvbarcedil⅓aeligt1ccedil degaeligcedil bullnotsbquoμp

ntildeV pbullpnotμtradeW tradepbullnotμtrade

THORNfrac14rsquodividebrvbar

brvbarUgrave1`yDE Lnottradesbquo

eacuteOgraveaelig yaringatildeh⁾51icirc μtradenotsbquobullaeligcedil sbquobullnotsbquoWpaeligcedil

ntildeV μtradenotsbquobullaeligcedil Wtradenottradedegtradeaeligcedil

rsquodividebrvbaragravee bullsbquonotWsup1 ptradedegnotWtradebullsup1


_˙yacuteˆyAgraveegraveiacuteccedil tradenotWbullsup1 degnottradesbquodegaeligcedilsup1

tradesbquo

pRrsquodividebrvbaragravee=UVyacutefZˆ

RegraveeacuteOgraveaelig aumlh⁾y₂THORNfrac14rsquodividebrvbarghsijdaggeruumlAringF


brvbarIacutemacryacutepoundAgravefrac14brvbarUgraveVucircrsquodividebrvbar μμnottradesbquosup1 ptradepnotLLtradesup1

poundAgravefrac14^_macrdividecampsup2yDEccedil tradenotsbquodegaeligcedil degnotLWLaeligcedil





rszlig campoiexclcent

campoX

fflumloslashmacryacute prszlig

eacuteOgraveaelig F

THORNfrac14rsquodividebrvbargh

acutemicrocedilcurrenccedil tradepnottradeptradesup1 μdegnotWpsup1 sup1 psbquonotLsup1

Sgagraveežcf sbquoLbull Lbull notbullpbull

OdaggerQaeligŒordmccedilcedilⁿaelig

$ijŒordmccedil bullnotdegtrade notdegtradep notsbquoμL

AtildeAacuteUuml˘ˇdaggeragravee pnotpdegL Wμp tradenotWbullaeligcedil WnottradeW

ij3acute5plusmniexcliexcl tradenottradepL tradenottradepL

THORNfrac14ffiagraveeuml tradenotbullbullsbquo tradenotbullbullsbquo

Xffl notsbquoμL notsbquoμL

ntildeV Wtradenotsbquoμtrade tradedegnotdegL tradenotWbullaeligcedil degnotWpμ

THORNfrac14rsquodividebrvbarij

daggerƒvumlAtildeAacuteUuml0u

iexclcent notsbquoaeligcedil pLnotsbquoLpaeligcedil degμnotμsbquobullaeligcedil

oslashV tradenotWWLsup1 sbquonotLWtradesup1 tradenotWbullaeligcedilsup1 pdegdegnotWtradeμsup1

bullsbquobdquoauml

ⁿFoparaGbullsbquobdquorszligndasheGH9IJ34KLM˜emdashAEligordfŁOslashŒordm+

ŒplusmnTHORNfrac14rsquodividebrvbarghsup1WnotdegdegETHfrac12

tradeμ

tradeR-fraslyacute˝yenrsquodividebrvbaryenbrvbar_ucirc`Z_paraG bullL bdquoauml+

paraG bulldeg bdquoauml4Atildebrvbar_ucirc`Z_gt-8paraG bullL bdquoauml

y_uumlAringOacuteZcł-Aagrave k4OacutemacrA+IcircoAgravebrvbar|szlig

-8paraG bulltrade bdquoauml5 bull bdquoaumly_uumlAringOacuteZcł-A

agrave k54Atildemicrobrvbarybrvbarbrvbaruuml4OacutemacrA+IcircoAgravebrvbar|yacutethorn-0

1yIacute8frasl⅝594ABCDE

degR$shyrsquodividebrvbarAgravemdashAEligdoparaG bullW bdquo p r W szlig-amp⁾+fraslyacute˝yenrsquo

dividebrvbarybrvbarUgrave WyumlŒlsaquo pbullyuml+]mdashAEligparaG bullW bdquoaumlqatildendashe

-yenIcircograve]brvbarUgraveì01YZyrsquodividebrvbarDE

cedilmdashTHORN aelignotethtimes

Rwnotethtimes

wnotethtimesˆ˝iumlłoR-iquestfcentyacuteOacuteayiexclcent+$˝ccedil

lh˛iquestrsaquof|ordfccedilVucircaumldivide

pR-oparaG bullsbquo bdquo deg r W szlig5paraG bullW bdquo deg r W szligkmUcirc[$igrave


campoX


eacuteOgraveaelig F


acutemicrocedilcurrenccedil sbquoμnotsbquodegpsup1 degpnotdegWpsup1 sup1 tradepnottradeptradesup1

Sgagraveežcf degnotLpμ tradenotWLμaeligcedil sbquoLbull

OdaggerQaeligŒordmccedil μnotdegLsbquo pnotbulldegaeligcedil Wnotdegdeg

$ijŒordmccedil LnotdegWdeg notWWμ bullnotdegtrade

AtildeAacuteUuml˘ˇdaggeragravee notLWdeg pnotbullμL degnottradesbquodeg pnotpdegL

ntildeV pdegnotpμμ tradenotLpdeg degnottradesbquodeg sbquopnottradebullμ



iexclcent WLnotbullμtradeaeligcedil tradepnotμWL notsbquoaeligcedil

oslashV tradeμnotpbulldegsup1 sbquotradenotLbullsup1 degnottradesbquodegsup1 tradeμnotpμsup1

bullWbdquoauml

rsaquof|ordfh notethtimes

brvbarotildedaggeruuml ˛ccedilcedilETHaelig cedilfrac12aelig

iumlłoR-iquestby

lmacryacute sbquoμnotpsbquosbquosup1 pnotpnotsbquoWdeg bullRWsup1



iumlłoR-iquestby

lmacryacute μLWnotdegWμsup1 pnotpbullbullnotbullbullbull bullRtradetradesup1

bullsbquobdquoauml

bullWbdquoauml

degbull

yOumlmyacutesup1pbullnotbullbullbull ETHfrac12+X8wnotethtimesyDEIgravenotplusmnAtilde

kmIgravesup1bullRtrade frac125sup1bullRdeg frac12

THORN5Zâagrave

cedilUacuteaeligZâyˇ5Zˆ

Z ˆ a ˇ = - y Z ˆ

permil AacuteAcircAtildeAumlAring AEligAtildeCcedilEgraveEacuteEcircEumliquest iexclIgraveEgrave atildeoacuteR-

$rsaquontildevTUrntildecedilaelig-cedil˝˛ˇ

NTUrntildeQaelig

R-

TUrntildek- =-yacutecentUacute-ETHNtilde

TUrntilde$k- =-yacutecentUacute-ETHNtilde


permil Ecirc cedilaacuteEacuteEcircaelig iexclIgraveEgrave =-yacutecentUacute-ETHNtilde

permil Ecirc cedilAEligAtildeEcircEuml AtildeEcircEumlaelig iexclIgraveEgrave =-yacutecentUacute-ETHNtilde

permil EacuteAumlacircAcirciquest permilacircAumlAumlAcircEacuteIgraveEacuteacirciquest cedilpermilEacuteEcircEumlAringAtildeAcircacircaelig

atildeIgraveacirc iexclIgraveEgrave

=-yacutecentUacute-ETHNtilde

atilde Ecirc permil rdquoEcircEgraveAtildeEcircacirciquestEacute =-yacutecentUacute-ETHNtilde

Xfflcedil₂hAtildeeuml5igravefrac34duuml yumlaelig ˆ-5centUacuteVWdyenyL 5ilDagger~

⅛⅜5Xłaring

cedil3aelig=ZâmyBCagrave˝sup2

-82qZâyeumlfrac34yacuteUgrave+ordfpound[yacuteUgraveIgravewxVucirc+eumlfrac34

=Uacute13eumlfrac34hAmacrcent

paraG bullsbquo bdquo5 bullW bdquoauml-egrave2(eumlfrac34agravethornyyacuteagraveekmIgrave

sup1pnotbullsbquo ETHfrac125sup1LnotWtrade ETHfrac12

R eumlfrac34

Zâˇ l-timesuuml eumlfrac34yuml yacuteUgravemyuml

₂hAtildeeumlfrac34duumlyumloslashV pWnotsbquotradesup1 bullRbullsbquo bullyumlRLbullyuml


₂hAtildeeumlfrac34duumlyumloslashV pμnotbullsup1 bullRbullW bullyumlRLbullyuml

bullsbquo bdquo p r szlig

bullW bdquo p r szlig

deg

paraG bullsbquo bdquo5 bullW bdquoauml-egrave2(igravefrac34agraveSyyacuteeumlkmIgravesup1Lμ ETH

frac125sup1tradeLsbquo ETHfrac12

pR bfrac34sup25igravefrac34

hccedils =jZâ

Zâ l reguml yagrave

m ˇ atilde⅓timesuuml l-timesuuml AEligpoundigravefrac34 middotligravefrac34 r OacuteAmacrcent

bfrac34sup2 pL degnotμbullWsup1 nottradedegμsup1 nottradedegμsup1 sup1 A A

e

microigravefrac34 trade psbquonotsbquoμL pWnotsbquoWW pWnotsbquoWW macrih A

oslashV pμnotLsup1 pμnotLsup1 sup1

hccedils =jZâ



bfrac34sup2 pW tradenotWbulldegsup1 notbullpsup1 notbullpsup1 sup1 A A

e

microigravefrac34 p pμnotLbullbull psbquonotdegdeg psbquonotdegdeg macrih A

oslashV pμnotdegWLsup1 pμnotdegWLsup1 sup1


OacuteœCcedilEgrave



R gdaggeroumlEuml

-=ZâygdaggeroumlEumlagraveuacuteAringF

agravecurren Zâˇ bullsbquobdquoprszlig bullWbdquoprszlig

eumligraverntildecentyen R-5Xkcurren

TUrntilde ppnotsbquosbquoLsup1 WbullnotLsup1

TUrntildek- sbquoLnotμ WLnotptradeW

-

permil Ecirc cedilAEligAtildeEcircEuml AtildeEcircEumlaelig iexclIgraveEgrave tradetradenotsbquotradep μpnotpbull

permil Ecirc cedilaacuteEacuteEcircaelig iexclIgraveEgrave pnotpbullL pnotptrade

atilde Ecirc permil rdquoEcircEgraveAtildeEcircacirciquestEacute μp μ

tradedegWnotLdegsup1 notbullpbullnottradeWsbquosup1

otildeigraverntildecentyen R-5Xkcurren

TUrntilde sup1 LnotLLsbquonotbullpsup1

TUrntilde$k- pμnotsbquotradedegnotWW degμnotLsbquoμnotsbquodeg

pμnotsbquotradedegnotWWsup1 LLnotdegWnottradesbquoWsup1

centyenotildeigrave5centyeneumlfrac34 R-ykcurren

TUrntilde$k- tradeLnotbulldegdegsup1 degtradenotdegbullsup1

degp

-egraveZâgdaggeroumlEumlcampyyacuteeuml5agraveeAringF

Zâˇ bullsbquobdquoauml bullWbdquoauml

yacuteeumlF

R-5Xkcurren

TUrntilde bullbullnotWLsbquosup1 ppsbquonotμμbullsup1

TUrntilde$k- notbulltradedegnotsbquobullW Wdegnotμ

nottradeLnotdegWdegsup1 μLtradenotsbquosup1

yacuteagraveeF

R-5Xkcurren

TUrntilde tradeμnottradesbquosup1 tradetradenottradesbquoLsup1

TUrntildek- Ltrade tradeL

TUrntilde$k- sbquosbquonottradetradeL μbullnottradesbquo

sbquonotbulltradesbquo tradenotμdegbull

-

permil Ecirc cedilAEligAtildeEcircEuml AtildeEcircEumlaelig iexclIgraveEgrave p

sbquonotbulltradesbquosup1 tradenottradesbquoLsup1

tradeR atildegydaggerƒgh5ij


R-ykcurren

TUrntilde$k- pnotbullWdegaeligcedilsup1 tradenotdegsbquosup1

degR byacute5Xfflbfrac34


R-5Xkcurren

TUrntilde sbquonotWtradebullsup1 pnotpsbquosup1

TUrntilde$k- μnotpμtrade pμnotpbullμ

Wsbquonotbulltradesup1 nottradeμbullsup1

LR euml|regtdagger


R-ykcurren

TUrntilde$k- sbquoμμnotsbquoWsup1 sup1

WR bthorndaggerƒju


atildeoacuteR-

permil AacuteAcircAtildeAumlAring AEligAtildeCcedilEgraveEacuteEcircEumliquest iexclIgraveEgrave pnotμμμnotdegWdegsup1 notbullWpnotμdegbullsup1

2(š⁾žNtildeyoslashœlm5ydagger⁶⁷⁸ⁿOtildecedilOtildeaeligeuacute

-oAgravefrac145oslashœ^DbrvbareumlregtdaggerR-ykcurren˝bš⁾žNtildeyiuml

gparaGbullsbquobdquo5bullWbdquoauml-egrave2(euml|regtdaggercampyyacuteeumlkmIgravesup1notpWp

ETHfrac125sup1notμpμETHfrac12

-paraGbullsbquobdquo5bullWbdquoaumlegrave2(bthorndaggerƒjucampyyacuteagraveekmIgravesup1degnotdegbullW

ETHfrac125sup1LnotdegtradeETHfrac12

-bthorndaggerƒjuyju$ntilde80IgraveatildeoacuteR-permil AacuteAcircAtildeAumlAring AEligAtildeCcedilEgraveEacuteEcircEumliquest iexclIgraveEgrave+⁶

⁷⁸ⁿOtildecedilotildeaeligeuacute

deg

sbquoR bthorncł-Aagrave


R-

TUrntilde degbullnotμsbquopsup1 psbquonotWtradesup1

-

permil Ecirc cedilAEligAtildeEcircEuml AtildeEcircEumlaelig iexclIgraveEgrave tradenotμLtrade degnotsbquo

permil Ecirc cedilaacuteEacuteEcircaelig iexclIgraveEgrave sbquo L

degLnotWWWsup1 tradenotLsbquodegsup1

μR bthornyacute5Xfflbthornfrac34


atildeoacuteR-

permil AacuteAcircAtildeAumlAring AEligAtildeCcedilEgraveEacuteEcircEumliquest iexclIgraveEgrave tradenotμLWsup1 Lnotdegtradesup1

R-5Xkcurren

TUrntilde notbullW pL

TUrntilde$k- WnotμbullL LnotWLdeg

XfflZâ

permil EacuteAumlacircAcirciquest permilacircAumlAumlAcircEacuteIgraveEacuteacirciquest

cedilpermilEacuteEcircEumlAringAtildeAcircacircaelig atildeIgraveacirc iexclIgraveEgrave pμdeg

tradenotptradesup1 nottradepdegsup1

bullRXffldaggerƒijYacutecurrenldquovumlrsquodagger


Xffl ptradenotdegtradesup1 sbquonotbullμdegsup1

Reumleumlregtdagger


R-ykcurren

TUrntilde$k- degdegsbquosup1 degdegsbquosup1

paraGbullsbquobdquo5bullWbdquoauml-egrave2(eumleumlregtdaggercampyyacuteagraveeugraveIgravesup1LETHfrac12

pRffiagravemacrcent


R-5Xkcurren

TUrntilde μpnotbullsbquosup1 pμWnotsbquoLμsup1

TUrntildek- LnotsbquodegL

XfflZâ


cedilpermilEacuteEcircEumlAringAtildeAcircacircaelig atildeIgraveacirc iexclIgraveEgrave Wnottradebullaeligcedil pnotWLWaeligcedil

sbquonotdegsbquosup1 psbquodegnotbullpsup1

degtrade

LR-paraG bullsbquo bdquo5 bullW bdquoauml=ZâcedilR-ykcurrenFTUrntilde

$k-aelig˝yjulaquoograveagraveydaggerkmIgravesup1pnotsbquodegbullnotbullbullbull ETHfrac125

sup1μdegbullnotbullbullbull ETH frac12 5 juoumlograveagravey daggerkmIgrave sup1tradenotdegbullnotbullbullbull ETH frac12 5

sup1notWbullbullnotbullbullbull ETHfrac12+egrave2(agraveh⁾ycediliexcl aeligcent sup1sbquonotWW ETHfrac125sup1nottradepsbquo ETH

frac12IcirccurreneumlRp˜iexclcentpound-1uvegraveiacuteydaggerƒgh5ijiexclcentsup2

RXffleuml


R-ykcurren

TUrntilde$k- degtradenotbulltradesup1 WnotdegWpsup1

tradeRcł-Aagrave


R-

TUrntilde degsbquonotsbquotradesup1 degbullμnotWbullsup1

-

permil Ecirc cedilAEligAtildeEcircEuml AtildeEcircEumlaelig iexclIgraveEgrave ppnottradeμ ptradenottradeW

permil Ecirc cedilaacuteEacuteEcircaelig iexclIgraveEgrave nottradeμ pnotdegL

XfflZâ


cedilpermilEacuteEcircEumlAringAtildeAcircacircaelig atildeIgraveacirc iexclIgraveEgrave Wμtrade pnotbullWbull

Lbullsbquonotbullμbullsup1 degsbquonotWLWsup1

degR regtfrac34sup2

l regt=

atilde⅓timesuuml l-timesuuml 3acutetimesuuml agraveUgravem regumlr

R-

TUrntilde notpWdegnotsbquoWdegsup1 notpLnottradesbquosup1 pnotLdegsup1

daggerWdegfrac12

daggerdegbullfrac12 A

-

atilde Ecirc permil

rdquoEcircEgraveAtildeEcircacirciquestEacute pnotLtradesup1 notμμsbquosup1 pbullsup1

daggerWdegfrac12


l regt=


R-

TUrntilde degsbquobullnotbullLtradesup1 degtradeμnotsbquotradeμsup1 degnottradeμsbquosup1

daggerWdegfrac12


-

atilde Ecirc permil

rdquoEcircEgraveAtildeEcircacirciquestEacute Lnotdegμbullsup1 pnotpμpsup1 psup1

daggerWdegfrac12



bullWbdquoprszlig

degdeg

WRš⁾ž

Ntilde

R-5Xkcurren

bcedilbthornaelig

bcedilbthornaelig

l

Zâfrac34

l

Zâfrac34

oslashœlm

ydagger

0ucediliexclaeligcent

cedilEumlB0uaelig

oslashœlm

ydagger


cedilEumlB0uaelig

TUrntilde

aacuteoslashœ

bullsbquoacuteacuteL

bullμacutepacutep

WLnottradedegtradenottradetradeμ

sup1

pdegWnotWLbull

sup1

pdegWnotWLbull

sup1

bullWacuteLacuteW

bullsbquoacutebullacutesbquo

LsbquonotsbquoμnottradeL

sup1

sbquoWnotbullbullp

sup1

sbquoWnotbullbullp

sup1

AdaggerUcircl

aacute

bullsbquoacutedegacuteW

bullacutebullacutetrade

notpμnottradetradeW

sup1

pnottrade

sup1

pnottrade

sup1

bullWacuteLacutepsbquo

bullsbquoacuteWacute

notptradeWnotsbquodegL

sup1

nottradeμtradeaelig

cedilsup1


cedilsup1

yacuteUgrave₁

oslashœ

bullpacutesbquoacutepL

sbquoacuteμacutepbull

pnotbullsbquoLnotsbquotrade

sup1

LnotsbquoLμaelig

cedilsup1

LpnotμWp

sup1


degacuteWacutep

pdegnotbullnotLdeg

sup1

pWnotdegaelig

cedilsup1

tradenotμaelig

cedilsup1

aacuteiumligravef

bullsbquoacutedegacutepbull

bullμacuteμacutetrade

pnotbullμnotμpW

sup1

sbquonotpsbquodegaelig

cedilsup1


cedilsup1

bullWacutesbquoacute

bullsbquoacutedegacutepW

notμμWnotsbquo

sup1

bullnotLtradepaelig

cedilsup1

bullnotLtradepaelig

cedilsup1

vuml

iumligravef


bullμacuteLacuteW

degsbquonottradesbquosbquo

sup1

Lbull

sup1

Lbull

sup1

sup1

sup1

sup1

fcent₁

bullsbquoacuteacutedeg

acuteacutepp

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62

佄Ʊ宅⸠

63

佄Ʊ宅⸠



ⴲ 㗆䔺圊

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Ṅ㵎ᶔ



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Ệ傈

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䬓噆


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㥔䵺䵺㿆惏㛯


䬓噆


岇ₜ⎱䇆㥔˛




⬾䬓噆ƌ˛

ἴƝỆ傈




䉠∌傈

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⟔㤝㢉⊈⟔

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64

傈㫱㕊ガƝ

㙕态傈



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傱

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6URXS+ROGLQJVWG


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曃䖬 ⴲ ⴲ

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濑壹壹濒




65

ⴲ ⵤ

曃䖬 ⴲ ⴲ

㪍佟

佟

䊼悏佟

㿟῝

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䖆柖怋佟

宅㗪䤋怋佟

䯭䤋㗨ᶖ佟

ㅓ宅

怪㙎

㗪䖈㪒

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䊼悏佟㩔䉅







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䄈ⷕ䕗˛

66







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憸䮈执⬾䬓噆


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ⴡ ⃣ 併憸

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68




攎㝛㧼




傈傈㝘䛟˛






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69


䉠∌傈岮㖀Ɲ


曃䖬

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柖孟䏠ᴉ㯼







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70


曃䖬

㛯㗌


㯿廘⟔䄷⃣佟



ピ帇㐶朋䄈


ピ帇㝛㧼









惏峽ƌ






㔖ế˛



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ⴲ

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恐䔏

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攂ᶔ㧈

ヨ傱ⴲ∮㒣㨠



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71






姯䕒ⅎƝ


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㖀Ḳ孱⊼ガ˛

72

Ʊ䂝弉㡀㭿

73

Ʊ䂝弉㡀㭿

ᲾƱ 㠫⩷濣


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䠦⨖㧼

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ἴƝ㖗凡ỆK


74



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ㄉ䵊孹㲦䖈


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宅䏠Ⲱ⪤䊼䖈

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䏠䄧ẛ敨㠫⎟

ẟ壕㠫㠫ᵸ⎟


ㅓ宅ẛ敨㠫⎟


83








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84



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85



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86

Ʊ悋堿䯂濣

䯂宨

䐴ᵉᵸ

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87

䯂宨

䐴ᵉᵸ

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堿⩷

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a㛴Ḕ岮姱䳢䵘

⦻⤸䳫



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88

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a⸚⇾嘼䏭ὃ㥔

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a⤐㮴堳䧆岪䳫

89

䯂宨

䐴ᵉᵸ

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90

收Ʊ孟㡀㭿

91

收Ʊ孟㡀㭿




ⴲ ⵤ

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92

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93

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94








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98


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102

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103

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106

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107

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108


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24

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25

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26

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27

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28

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89

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102

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⟧傱⟧ ⟧傱 ⟧ ⟧傱 ⟧ ⟧傱 ⟧ ⟧傱 ⴲ 屃弌 ⴲ

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傱 ⟧ ⟧傱 ⟧ ⟧傱 ⟧ ⟧傱ⴲ 屃弌 ⴲ

堿㗝宅悏㯿

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65

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72

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86

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87

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88

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89

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90

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92

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93

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96







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98


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102

ᵊƱ 孟䳼㐆濣

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䂝㠫孹䏦


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Ʊ 䊼悏㯿悍濣







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89

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90

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92

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93

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