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尋媶暘栰

寁嶼壜擻惈丄嫍棧嬻娫丄埵憡嬻娫

尋媶撪梕

乽嫍棧嬻娫偍傛傃埵憡嬻娫偵偍偗傞寁嶼壜擻惈乿偲偄偆僥乕儅偱尋媶傪峴側偭偰偄傑偡丅

埲壓丄悢妛梡岅偑懕弌偟傑偡偑丄屌桳柤帉偩偲巚偭偰撉傒棳偟偰偄偨偩偄偰巟忈偁傝傑偣傫丅

偁傞娭悢偑寁嶼偱偒傞偙偲傪帵偡偵偼丄寁嶼朄偑敪尒偱偒傟偽廫暘偱偡丅偟偐偟丄偁傞娭悢偑寁嶼偱偒側偄偙偲傪帵偡偵偼丄 寁嶼傪帋傒偰幐攕偡傞偙偲偱偼晄廫暘偱偡丅乽堦強寽柦偵偑傫偽偭偨偺偱偡偑僟儊偱偟偨乿偱偼丄乽傑偩搘椡偑懌傝傑偣傫乿傗 乽傗傝曽偑娫堘偭偰偄傞偩偗偱偡乿傪斲掕偱偒側偄偐傜偱偡丅乽寁嶼偱偒傞娭悢乿偺斖埻傪柧妋偵偟偰丄懳徾偺娭悢偑偦偺斖埻偵 娷傑傟側偄偙偲傪徹柧偡傞昁梫偑偁傝傑偡丅偦偺偨傔偵偼乽寁嶼偱偒傞乿偺悢妛揑側掕媊偑昁梫偲側傝傑偡丅偙偆偟偰丄 寁嶼壜擻惈偺棟榑偑巒傑偭偨偺偱偟偨丅

幚偼丄偙傟偼丄悢愮擭偵偍傛傇悢妛偺挿偄楌巎偺拞偱偼傎傫偺嵟嬤偺偙偲偱偡丅嵟弶偺杮奿揑偼敪尒偼丄 1931擭偺僎乕僨儖偺晄姰慡惈掕棟偺敪尒偱偡丅偦傟偐傜偡偙偟偨偭偨1935擭偵丄僠儏乕儕儞僌偑屻偵僠儏乕儕儞僌婡夿偲 屇偽傟傞傛偆偵側偭偨壖憐揑側婡夿傪峫偊偰丄棟榑傪惛枾壔偟傑偟偨丅偦偺偍偐偘偱丄寁嶼壜擻惈偺棟榑偼媫懍偵敪揥偟丄 僐儞僺儏乕僞偺婎慴棟榑偲偟偰偺廀梫傕偁偭偰丄崱偱偼丄戝妛偺忣曬宯妛壢偱偼丄寁嶼壜擻惈偺棟榑偺弶曕傪妛傇島媊偑 妛晹惗傪懳徾偵昁偢奐島偝傟傞傛偆偵側偭偰偄傑偡丅

偲偙傠偱丄寁嶼壜擻惈偺棟榑偱偼丄傑偢丄帺慠悢乮偲桳尷偺挿偝偺暥帤楍乯傪擖弌椡偲偡傞娭悢傪埖偄傑偡 乮堦斒偵丄妛晹抜奒偱妛傇偺傕丄偙偺斖埻偱偡乯丅懳徾傪帺慠悢偐傜惍悢偵奼挘偟丄偝傜偵偼桳棟悢偵奼挘偡傞偲偙傠傑偱偼丄 摨偠傛偆偵偱偒傑偡丅偲偙傠偑丄桳棟悢偐傜幚悢偵奼挘偟傛偆偲偡傞偲丄偦傟傑偱偲摨偠傛偆偵偼偄偒傑偣傫偱偟偨丅 1954擭偵儔僀僗偑乽寁嶼壜擻幚悢慡懱偑幚暵懱傪側偡乿偙偲傪敪尒偟偰丄傗偭偲丄桳棟悢偐傜幚悢傊偺峚偑忔傝墇偊傜傟傑偟偨丅 寁嶼壜擻惈偺棟榑偺抋惗偐傜1/3 悽婭傪梫偟偰偄傑偡丅

寁嶼壜擻惈偺棟榑偺懳徾傪幚悢傑偱奼挘偱偒偨傜丄傕偭偲奼挘偟偨偔側傝傑偡丅暋慺悢傊偺奼挘偼娙扨偱偡丅 儀僋僩儖傗峴楍傊偺奼挘傕娙扨偱偡丅悢偩偗偱側偔恾宍傪懳徾偲偡傞偙偲傕丄偪傚偭偲偟偨媄弍揑側栤戣傪夝寛偡傟偽丄 摨偠傛偆偵偱偒傑偡丅

巹傕丄壨梂婭巕乮撧椙彈巕戝妛丄摉帪乯傗抾撪愹乮嫗搒戝妛乯偲嫤椡偟偰丄寁嶼壜擻惈偺棟榑偺懳徾傪暯柺恾宍傗嬻娫恾宍偵 奼挘偟偨傕偺傪僼儔僋僞儖棟榑偵墳梡偟偰惉壥傪忋偘偰偄傑偡丅

偲偙傠偱丄寁嶼壜擻惈偺棟榑偺懳徾傪偁偭偪傖偙偭偪傖偵奼挘偡傞偺偼椙偄偺偱偡偑丄懳徾傪怴偟偔峫偊傞偨傃偵枅夞丄 摨偠偙偲傪偡傞偺偱偼丄旕岠棪偱偡丅偦偙偱丄堦斒揑側丄偄偄偐偊傟偽斈梡揑側棟榑傪峔抸偟偰偍偄偰丄奺懳徾偼 偦偺嬶懱椺偲偄偆宍偵偟偰偍偗偽丄偖偭偲庤娫偑寉尭偝傟傑偡丅埵憡嬻娫榑偲偄偆偺偼丄偦偺偨傔偵偆偭偰偮偗偺棟榑偱偡丅 偦偙偱丄埵憡嬻娫榑偲寁嶼壜擻惈偺棟榑傪梈崌偝偣偨棟榑傪丄巹偨偪偼尋媶偟偰偄傑偡丅

傑偩丄偳傫側埵憡嬻娫偱傕OK偲偄偆偲偙傠傑偱偵偼払偟偰偄側偔丄摿庩側応崌偱偁傞嫍棧嬻娫偵尷掕偟偰尋媶偟偰偄傑偡丅 偦偺拞偱傕偝傜偵摿庩側乽幚岠揑嬊強僐儞僷僋僩嫍棧嬻娫乿偲偄偆傕偺偵傑偱偼丄姏丒壨梂丒抾撪偺庤朄偑揔梡偱偒傞偙偲傪 徹柧偱偒傑偟偨丅偙傟傪偝傜偵峀偘傞偙偲偑摉柺偺栚昗偱偡丅

庡側榑暥偲挊彂

1. Hiroyasu Kamo: Effective contraction theorem and its application, in Computability and Complexity in Analysis, LNCS 2064 (2001) pp. 88-100.
2. Hiriyasu Kamo, Kiko Kawamura, and Izumi Takeuti: Computational complexity of fractal sets, Real Analysis Exchange, Vol.26 (2000) No.2, pp.773-793.
3. Hiroyasu Kamo and Kiko Kawamura: Computability of self-similar sets, Mathematical Logic Quarterly, Vol.45 (1999) No.1 pp.23-30.

娭楢儕儞僋

• 屄恖偺儁乕僕