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Իָཧ࿦ͱํ޲౷ܭֶͷॳา LVSDLZ

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ࣗݾ঺հ w 5XJUUFSɿ!LVSDLZ@Z w "HFɿ w ձࣾɿ໊ࢗ؅ཧͷ๭๭ೖࣾϲ݄ w ԋ૗ɿόΠΦϦϯɼυϥϜ w ޷͖ͳԻָɿΫϥγοΫɼαΠέτϥϯεɼFUDʜ 2

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Իָ

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υϨϛϑΝιϥγυ

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υϨϛϑΝιϥγυϨϛϑΝιϥγ υϨϛϑΝιϥγυɾɾɾ

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ແݶϧʔϓ ʢ॥؀ʣ

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֯౓ͷσʔλαΠΤϯε

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ํ޲౷ܭֶ

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༷ʑͳ॥؀͢Δσʔλ w ԁप্ɿ֯౓ w σΟεΫ্ɿ֯౓ºεΧϥʔ w ٿ໘্ɿ֯౓º֯౓ w γϦϯμʔ্ɿ֯౓ºεΧϥʔ w τʔϥε্ɿ֯౓º֯౓ (0 < r < R) (0 < θ < π) (0 < r) 9 ࠓճ͸ԁप্͚ͩΛߟ͑Δ

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ํ޲౷ܭֶ w ֯౓΍࣌ؒͳͲɼ॥؀͢Δ஋ʹରͯ͠΋֬཰෼෍Λߟ͍͑ͨ w هड़౷ܭɼ෼෍ɼݕఆɼϞσϦϯάɼFUD w LVSDLZ͕ձ࿩Ͱൃ͠΍͍͢Ի͸ʁ w ͋Δ஍఺ͷ෩޲ͷ࣌ܥྻߏ଄͸Ͳ͏ͳͬͯΔʁ w Ԡ༻෼໺ w ಈ෺ͷӡಈํ޲ɼ෩΍ਫྲྀɼ࣌ؒɼ෼ࢠͷೋ໘֯ɼFUD 10

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ԁप্ͷهड़౷ܭ

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ฏۉํ޲͸Ͳͬͪʁ

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ฏۉํ޲ ϕΫτϧͷฏۉͰߟ͑Δ ( 1 4 π + 7 4 π)/2 = π 13 º ⿝ ΦΠϥʔͷެࣜΑΓɼReiθ = 1 N ∑ j eiθj (Rcos¯ θ, Rsin¯ θ) = 1 N ∑ j cosθj , 1 N ∑ j sinθj

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ԁप্ͷ෼ࢄ 14 ෼ࢄେ ෼ࢄখ

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ԁप্ͷ෼ࢄ 15 ฏۉϕΫτϧͷ௕͞ʹண໨͢Ε͹ྑ͍ ෼ࢄɿV = 1 − R ඪ४ภࠩɿsd = −2 log(R) ඪ४ภࠩ͸ͪΐͬͱಛघ ෼ࢄେ ෼ࢄখ

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ԁप্ͷ֬཰෼෍

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෼෍ͷ࡞Γํ w ר͖ࠐΈ๏ɿ֬཰ີ౓ؔ਺Λԁप্ʹר͖ࠐΉ w XSBQQFE$BVDIZ෼෍͕༗໊ w ࣹӨ๏ɹɹɿมྔ֬཰ϕΫτϧΛݪ఺͔Βͷڑ཭ͰׂΔ w ৚݅෇͖๏ɿมྔཱ֬ϕΫτϧΛۃ࠲ඪม׵͠ɼ֯౓ΛಘΔ w ਖ਼ن෼෍ˠWPONJTFT෼෍ w ౤Ө๏ɹɹɿ ͱͯ֯͠౓ΛಘΔɽ x = tan(θ/2) 17

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WPONJTFT෼෍ w ผ໊ʮԁप্ͷਖ਼ن෼෍ʯ w ର৅͔ͭ୯ๆ w ࢦ਺ܕ෼෍଒ w ݫີʹ͸࿨ͷ࠶ੜੑ͕ෆ੒ཱ w w ɿਖ਼نԽఆ਺ w ɿฏۉํ޲ύϥϝʔλ w ɿूத౓ύϥϝʔλ f(θ; μ, κ) = Ceκ cos(θ−μ) C μ κ 18

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ޒ౓ݍ

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ޒ౓ݍ DJSDMFPGUI w ԻఔͰ͸ͳ͘ɼௐ LFZ ͷྠ w ֎ଆ͕ϝδϟʔɼ಺ଆ͕ϚΠφʔ w ྡΓ߹͏ௐ͸ه߸ ̅ ̆ ͕ͭҟͳΔ w Ұप͢Δͱ·ͨ໭ͬͯ͘Δ 20

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ޒ౓ݍͷར༻ w εϦʔίʔυ͕Θ͔Γ΍͍͢ w جຊͷίʔυ͔Β྆αΠυΛݟΕ͹ྑ͍ w ࠨճΓ͍ͯ͘͠ͱࣗવͳίʔυʹͳͬͯΔ w πʔϑΝΠϒϫϯ͕؆୯ʹͰ͖Δ w KB[[ͳͲͰڧ͍ 21

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DBTFTUVEZ ࡞ۂՈ͝ͱͷ࡞ۂ܏޲

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σʔλ֓ཁ 23 w ༗໊࡞ۂՈͷۂ৘ใϦετ w ࡞඼൪߸ɼλΠτϧɼௐɼ࡞ۂ೥ɼδϟϯϧɼฤ੒ w ιʔεɿແྉָේͷϥΠϒϥϦʔ*.4-1͔ΒεΫϨΠϐϯά ໘ന͍σʔληοτʹͳΓͦ͏ͳͷͰɼγΣΞͯ͠෼ੳ͠·ͤΜ͔ʁস https://imslp.org/wiki/Main_Page

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༗໊ͳ࡞ۂՈΛൈਮɽ›͕$NBKPS

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ϝϯσϧεκʔϯ͸ϞʔπΝϧτͷӨڹΛଟ෼ʹड͚͍ͯΔΒ͍͠ ٕ޼ܥϐΞϊ࡞ۂՈ͸ࣗ༝౓͕ߴͦ͏ɽࣅͯΔ

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.BSEJB8BUTPO8IFFMFSݕఆ w ԁप্ͷͭͷ෼෍͕ҟͳΔ͔ͷϊϯύϥϝτϦοΫݕఆ w 6ݕఆͷDJSDVMBS֦ு w ܈ͷσʔλΛࠞͥͯ౳ִؒʹฒ΂ΔɽؼແԾઆͷ΋ͱQ஋Λܭࢉ w ݁Ռ 26 Q஋ ݁Ռ NP[BSUWTNFOEFMTTPIO غ٫ DIPQJOWTMJTU[ غ٫Ͱ͖ͳ͍

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·ͱΊ w Իָͱ૬ੑ͕ྑ͍ͱࢥΘΕΔํ޲౷ܭֶʹ͍ͭͯɼͦͷॳาͷ ॳาΛ঺հͨ͠ w ௐ߸ͷଆ໘͔Βɼ࡞ۂ܏޲Λ෼ੳͨ͠ɽಛʹɼϦετͱγϣύ ϯͷޒ౓ݍͷ෼෍͸ҟͳΔͱ͸ݴ͑ͳ͔ͬͨɽ 27

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͓͢͢Ίจݙ w +BNNBMBNBEBLB 43 4FOHVQUB " 5PQJDTJODJSDVMBS TUBUJTUJDT 7PM XPSMETDJFOUJpD w όΠϒϧతͳɼํ޲౷ܭͷ௒༗໊ςΩετ w ਗ਼ਫ๜෉ ʰ֯౓σʔλͷϞσϦϯά *4.γϦʔζਐԽ͢Δ౷ܭ਺ཧ ʱ ۙ ୅Պֶࣾ w ํ޲౷ܭͰ͸௝͍͠࿨ॻ w 7BMEF[ %/ 45"5*45*$4*/.64*$0-0(: w Իָº౷ܭͷຊ 28