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#;PQI BOE27-F  l/FVSBM"SDIJUFDUVSF4FBSDI XJUI3FJOGPSDFNFOU-FBSOJOH z 1SPDFFEJOHTPGUI*OUFSOBUJPOBM$POGFSFODFPO -FBSOJOH3FQSFTFOUBUJPOT *$-3  ೥݄೔ ؀ڥ৘ใֶ෎ ৘ใϝσΟΞ؀ڥֶઐ߈ ৘ใϝσΟΞֶίʔε ന઒ݚڀࣨ೥ ੪౻ ᠳଡ

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 •#;PQI BOE27-F  l/FVSBM"SDIJUFDUVSF4FBSDIXJUI 3FJOGPSDFNFOU-FBSOJOH z 1SPDFFEJOHTPGUI*OUFSOBUJPOBM $POGFSFODFPO-FBSOJOH 3FQSFTFOUBUJPOT *$-3  •//ͷߏ଄࠷దԽʹؔ͢ΔݚڀͰɼ ࠷৽ͷ΋ͷͰ͋ͬͨͨΊ  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH จݙ৘ใɾ͜ͷ࿦จΛબΜͩཧ༝

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 •3FDVSSFOU/FVSBM/FUXPSL 3// Λ ༻͍ͯɼ//ߏ଄ͷੜ੒ϞσϧΛֶश •ςετσʔλʹର͢Δਫ਼౓ BDDVSBDZ ͷظ଴஋࠷େԽΛڧԽֶशʹΑͬͯղ͘ • ޯ഑ͷਪఆͰ͸3&*/'03$&ΞϧΰϦζϜ Λ࢖༻ •$*'"3ɿఏҊख๏ͰಘΒΕͨϞσϧ ͸ɼଞͷϞσϧΑΓͷਫ਼౓޲্ͱ ഒͷֶश଎౓ͷվળ •1FOO5SFFCBOLͰ΋ݕূ  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH ֓ཁ

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 •//ʹΑΔޯ഑๏ʹجͮ͘ߏ଄୳ࡧ  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH *OUSPEVDUJPO ͋Δ֬཰Qͷ΋ͱͰ ߏ଄"ΛαϯϓϦϯά ߏ଄"Λ࣋ͭ//Λ ܇࿅͠ɼਫ਼౓3Λܭࢉ ਫ਼౓3ʹج͍ͮͯɼ ֬཰Qͷޯ഑Λܭࢉ ޯ഑Λ༻͍ͯɼ ֬཰QΛߋ৽

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 •//ͷߏ଄͓Αͼ઀ଓؔ܎͸ɼ Մม௕ͷจࣈྻʹΑͬͯࢦఆՄೳ • จࣈܥྻͷऔΓѻ͍͕Մೳͳ3//Λ࢖༻ • ߏ଄Λੜ੒͢Δ//ɿDPOUSPMMFS • ੜ੒͞Εͨߏ଄Λ࣋ͭ//ɿDIJMEOFUXPSL •ੜ੒͞Εͨߏ଄Λ࣋ͭ//ͷςετਫ਼౓ Λใुͱஔ͘ • ͜ͷͱ͖ɼ3//ͷํࡦޯ഑͕ܭࢉՄೳ •ࠓճ͸-45.Λ࢖ͬͯɼ3//Λߏ੒  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH *OUSPEVDUJPO

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 •ϋΠύʔύϥϝʔλ࠷దԽͷख๏͸༷ʑ •ߏ଄Ҏ֎ͷϋΠύʔύϥϝʔλ ࠷దԽ͸ɼطʹز͔ͭఏҊ͞Ε͍ͯΔ • 3BOEPNTFBSDI #BZFTJBO0QUJNJ[BUJPO •ߏ଄ͷ࠷దԽ • #BZFTJBO0QUJNJ[BUJPO • /FVSP&WPMVUJPOɿ("ʹΑΔߏ଄୳ࡧ  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH 3FMBUFE8PSL ҰൠతͰͳ͘ ॊೈੑʹ͚ܽΔ ॊೈੑ͸͋Δ͕ɼ େن໛ͳϞσϧͷ৔߹ ͕͔͔࣌ؒΔ

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 •લճͷ༧ଌ݁ՌΛࠓճͷೖྗͱ͢Δ ࣗݾ࠶ؼܕͷDPOUSPMMFS 3// Λ࢖༻ •ࠓճͷ໰୊Ͱ͸໨తؔ਺͕ඍ෼ෆՄೳ • ໨తؔ਺ɿςετਫ਼౓ •ಘΒΕͨςετਫ਼౓ͷ஋Λ࢖༻ֶͯ͠श  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH 3FMBUFE8PSL •/FVSBM"SDIJUFDUVSF4FBSDI • //ʹجͮ͘ޯ഑๏ʹΑΔߏ଄୳ࡧ Ξϓϩʔν

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 •චऀΒʹΑͬͯఏҊ͞Ε͍ͯΔͷ͸ͭ  ํࡦޯ഑ʹΑΔ3//ͷֶश๏  3//ͷֶशΛߴ଎Խͤ͞ΔͨΊͷ෼ࢄֶश  ෳࡶͳϞσϧΛੜ੒͢ΔͨΊͷ3//΁ͷ TLJQDPOOFDUJPOͷಋೖ  -45.ͷΑ͏ͳ࠶ؼతͳߏ଄Λ࣋ͭDFMMͷ ੜ੒ํ๏  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH .FUIPET

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 •ࠓճ࢖༻ͨ͠3//ͷߏ଄ ষΑΓ •ݸͷγʔέϯεͰͭͷ૚Λܗ੒ • 'JMUFS)FJHIU͔Β/VNCFSPG'JMUFST·Ͱ  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH (FOFSBUF.PEFM%FTDSJQUJPOTXJUIB$POUSPMMFS 3FDVSSFOU/FVSBM/FUXPSL -45. DFMM -45. DFMM TPGU NBY ग़ྗ ೖྗ /૚໨ͷ /VNCFS PG'JMUFST /૚໨ͷ 'JMUFS )FJHIU

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 •$//ͷߏ଄Λग़ྗ͢Δ3// • 'JHVSF͸3//Λ࣌ؒํ޲ʹల։ͨ͠ਤ  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH (FOFSBUF.PEFM%FTDSJQUJPOTXJUIB$POUSPMMFS 3FDVSSFOU/FVSBM/FUXPSL લճͷग़ྗ͕ ࣍ͷೖྗͱͳΔ ͦΕͧΕͷ஋͸TPGUNBY ʹΑͬͯ֬཰ͱͯ͠දݱ

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 •૚਺͕نఆͷ஋ʹ౸ୡͨ͠Βɼ3//ʹ ΑΔߏ଄ͷੜ੒Λऴྃ • ੜ੒ͨ͠Ϟσϧͷ܇࿅Λߦ͏ • ܇࿅ͨ͠Ϟσϧ͔Βɼςετਫ਼౓Λܭࢉ •ੜ੒ͨ͠Ϟσϧͷςετਫ਼౓͔Βɼ ςετਫ਼౓ͷظ଴஋ͷ࠷େԽํ޲΁ 3//ͷॏΈύϥϝʔλ Λߋ৽  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH (FOFSBUF.PEFM%FTDSJQUJPOTXJUIB$POUSPMMFS 3FDVSSFOU/FVSBM/FUXPSL ✓c ͜Ε͕ํࡦޯ഑

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 •3//͕ੜ੒ͨ͠ߏ଄ͷϦετɿ • ɿ༧ଌ͢΂͖ϋΠύʔύϥϝʔλͷ਺ •ੜ੒ͨ͠ϞσϧʹΑΔςετਫ਼౓ɿ •ظ଴ςετਫ਼౓ɿ •ظ଴ςετਫ਼౓ͷޯ഑ɿ  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH 5SBJOJOHXJUI3&*/'03$& a1:T R J(✓c ) = EP(a1:T ;✓c ) [R] r✓c J ( ✓c ) = T X t= 1 EP ( a 1: T ; ✓c )[ r✓c log P ( at | a ( t 1):1; ✓c ) R ] 3&*/'03$&ɿ ߦಈՁ஋ΛใुͰۙࣅ T

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 •ޯ഑͸ϞϯςΧϧϩ๏ʹΑͬͯਪఆɿ • ͸ճ͋ͨΓʹੜ੒ͨ͠ߏ଄ͷݸ਺ • 3//ͷύϥϝʔλߋ৽ ˠNݸͷαϯϓϧʢߏ଄ʣΛαϯϓϦϯά ˠͦΕͧΕͷςετਫ਼౓ ͱ্ࣜʹ Αͬͯ3//ͷύϥϝʔλߋ৽ˠʜ  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH 5SBJOJOHXJUI3&*/'03$& m R1 ⇠ Rm r✓c J ( ✓c ) ⇡ 1 m m X k= 1 T X t= 1 r✓c log P ( at | a ( t 1):1; ✓c ) Rk = 0 B B B B B @ 1 m m X k= 1 Rk 1 C C C C C A ⇥ 0 B B B B B @ T X t= 1 r✓c log P ( at | a ( t 1):1; ✓c ) 1 C C C C C A

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 •ޯ഑ͷਪఆ஋͸ෆภਪఆྔ •ͨͩ͠ɼ෼ࢄ͕ඇৗʹେ͖͍ͷͰ ϕʔεϥΠϯΛ࢖༻ •ϕʔεϥΠϯ ʹ͸ɼաڈͷςετਫ਼౓ ͷࢦ਺ҠಈฏۉΛ࢖༻  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH 5SBJOJOHXJUI3&*/'03$& r✓c J ( ✓c ) ⇡ 1 m m X k= 1 T X t= 1 r✓c log P ( at | a ( t 1):1; ✓c )( Rk b ) b bt = ↵R + (1 ↵)bt 1

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 •ฒྻԽͱඇಉظߋ৽ʹΑΔ3//ͷ܇࿅  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH 5SBJOJOHXJUI3&*/'03$& DIJME͸ͦΕͧΕςετਫ਼౓Λܭࢉ 3FQMJDB͸ύϥϝʔλ Λ4FSWFSʹฦ͢ 4FSWFS͸3FQMJDBʹ ύϥϝʔλΛ౉͢

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 •(PPH-F/FU΍3FTJEVBM/FUʹ ୅ද͞ΕΔΑ͏ͳ૚Λ·͙ͨ݁߹΋ ୳ࡧͷର৅ͱ͢ΔΑ͏ʹ֦ு͢Δ •૚Λ·͙ͨ݁߹Λ؅ཧ͢Δ"OLFSQPJOU Λγʔέϯεʹ௥Ճ •૚Λ·͙ͨ݁߹Λੜ੒͢Δ֬཰͸ TJHNPJEؔ਺ʹΑܾͬͯఆ  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH *ODSFBTF"SDIJUFDUVSF$PNQMFYJUZXJUI4LJQ $POOFDUJPOTBOE0UIFS-BZFS5ZQFT P (Layer j is an input to layer i) = sigmoid( vT tanh( W prev ⇤ hj + W curr ⇤ hi )) IϨΠϠʔʹؔ͢ΔӅΕঢ়ଶ IҎ֎͸܇࿅Մೳͳύϥϝʔλ

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 •૚Λ·͙ͨ݁߹΋֬཰ͱͯ͠දݱ͞ΕΔ ͨΊ3&*/'03$&ʹΑΔֶश͕Մೳ •֦ு͞Εͨ3//ͷߏ੒ਤ  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH *ODSFBTF"SDIJUFDUVSF$PNQMFYJUZXJUI4LJQ $POOFDUJPOTBOE0UIFS-BZFS5ZQFT

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 •-45.ͷΑ͏ͳ࠶ؼܕͰ಺෦ঢ়ଶΛ࣋ͭ ηϧͷߏ଄Λ୳ࡧ͢Δ •ηϧ΁ͷೖྗ͸ͭ • εςοϓ໨ͷग़ྗɿ • ηϧͷ಺෦ঢ়ଶɿ • લͷ૚͔Βͷग़ྗɿ •ग़ྗ͸ ͱ ͷͭ  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH (FOFSBUF3FDVSSFOU$FMM"SDIJUFDUVSFT t 1 xt ht 1 ct ht ct 1

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 •ॲཧΛෳ਺ͷϊʔυʹ෼ׂ • ֤ϊʔυͰߦ͏ॲཧΛ3//ʹΑͬͯ֬཰త ʹܾΊ͍ͯ͘  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH (FOFSBUF3FDVSSFOU$FMM"SDIJUFDUVSFT

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 •'JHVSFͰߦΘΕΔߏ଄ͷ༧ଌɿ • 5SFF*OEFYɿ"EEԋࢉΛͨ͠ޙʹ5BOI Λ͔͚Δ͔ • 5SFF*OEFYɿཁૉ͝ͱʹੵΛͱͬͨޙʹ 3F-6Λ͔͚Δ͔ • $FMM*OKFDUɿ5SFF*OEFYͷग़ྗʹ಺෦ ঢ়ଶΛ଍ͯ͠ɼ3F-6Λ͔͚Δ͔ • 5SFF*OEFYɿ$FMM*OKFDUͷग़ྗͱ5SFF *OEFYͷग़ྗΛɼཁૉ͝ͱʹੵΛͱͬͨ ޙʹ4JHNPJEΛ͔͚Δ͔  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH (FOFSBUF3FDVSSFOU$FMM"SDIJUFDUVSFT

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 •࣮ݧʹ࢖༻ͨ͠σʔληοτ͸ͭ • $*'"3 • 1FOO5SFFCBOL •$*'"3͸4FDUJPOʹج͍ͮͯ ৞ΈࠐΈ//ͷߏ଄୳ࡧ •1FOO5SFFCBOL͸4FDUJPOʹ ج͍ͮͯ࠶ؼܕηϧͷߏ଄୳ࡧ •࠷ྑͷςετΤϥʔΛใࠂ  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH &YQFSJNFOUTBOE3FTVMUT

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 • 3//ͷߏ੒ • -45.ͭɼϢχοτ਺͸ݸ • < >ͷҰ༷ཚ਺ͰॳظԽ • "EBN ֶश཰ɿ Ͱ࠷దԽ • ใुɿ࠷ޙͷΤϙοΫͷςετਫ਼౓ͷ࠷େ஋ • ୆ͷ(16Λಉ࣌ʹ࢖༻ • ύϥϝʔλαʔό୆ɼϨϓϦΧ୆ • ϨϓϦΧͭ͋ͨΓੜ੒͢Δߏ଄ͭ • ݸͷߏ଄Λੜ੒͢Δ͝ͱʹ૚૿Ճ • ࠷ॳ͸૚͔Βελʔτ  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH -FBSOJOH$POWPMVUJPOBM"SDIJUFDUVSFTGPS$*'"3 $POUSPMMFS ͷઃఆ

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 • ΤϙοΫ਺ɿ • /FTUFSPW .PNFOUVN4(%Ͱ࠷దԽ • ֶश཰ɼ׳ੑ߲ • ਖ਼ଇԽ߲ɿ8FJHIU%FDBZ ܎਺ • ୳ࡧۭؒɿ • 'JMUFSIFJHIUXJEUIɿ<   > • /VNCFSPGGJMUFSTɿ<   > • 4USJEF IFJHIUXJEUIɿ<  > • ׆ੑԽؔ਺ɿ3F-6 • #BUDI/PSNBMJ[BUJPOΛ࢖༻  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH -FBSOJOH$POWPMVUJPOBM"SDIJUFDUVSFTGPS$*'"3 ϛχόον͝ͱʹग़ྗΛਖ਼نԽ $IJME ͷઃఆ

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 •܇࿅σʔλɿຕ •ςετσʔλɿຕ •લॲཧ • ന৭Խ • ը૾ΛϥϯμϜʹ֦େ͓Αͼ൓స σʔλ֦ு  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH -FBSOJOH$POWPMVUJPOBM"SDIJUFDUVSFTGPS$*'"3 ܇࿅σʔλؒͷ૬ؔΛແ͘͠ɼ ฏۉ̌ɾ෼ࢄʹਖ਼نԽ

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 •ݸͷߏ଄͔Β࠷ྑͷ΋ͷΛબ୒ • ͦͷޙɼHJSETFBSDIͰֶश཰΍8FJHIU %FDBZͷ܎਺ͳͲΛௐ੔  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH -FBSOJOH$POWPMVUJPOBM"SDIJUFDUVSFTGPS$*'"3 5BCMF͔ΒҰ෦Λൈਮ

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 •Wͷ݁Ռʹ͍ͭͯɼैདྷ๏ΑΓ΋ઙ͘ɼ ͔ͭਫ਼౓͕ߴ͍ߏ଄Λ֫ಘ • "QQFOEJY"ͷ'JHVSFͷߏ଄ •ϑΟϧλͷܗঢ়͸௕ํܗ͕ଟ͘ɼಛʹ ग़ྗʹ͍ۙ૚Ͱ͸େ͖͍ϑΟϧλ •ߏ଄ͷมߋʹऑ͍ɼہॴతͳ࠷దੑ • શͯͷ૚ʹର͠ɼ૚Λ·͍ͨͨ݁߹Λ Ճ͑ΔͱΤϥʔ͕ʹ૿Ճ • ૚Λ·͍ͨͨ݁߹Λશͯ࡟আ͢ΔͱΤϥʔ ͕·Ͱ૿Ճ  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH -FBSOJOH$POWPMVUJPOBM"SDIJUFDUVSFTGPS$*'"3

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 •Wͷ࣮ݧͰ͸ɼWʹՃ͑ͯετϥΠυ αΠζͷ࠷దԽ΋ߦ͏Α͏ʹมߋ •୳ࡧۭؒ͸େ͖͘ͳ͕ͬͨɼ ͞΄Ͳਫ਼౓͕ѱ͘ͳΔ͜ͱ͸ͳ͔ͬͨ •Wͷ࣮ݧͰ͸ɼWʹՃ͑ͯ૚໨ͱ ૚໨ͷޙʹૠೖ͢ΔϓʔϦϯά૚ͷ ࠷దԽ΋ߦ͏Α͏ʹมߋ • ૚ͷશ݁߹૚Λ࣋ͬͨ૚ͷϒϩοΫ ͝ͱʹߏ଄Λ୳ࡧʢ୳ࡧۭؒͷ੍ݶʣ  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH -FBSOJOH$POWPMVUJPOBM"SDIJUFDUVSFTGPS$*'"3

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 •ͦͷ݁ՌɼΤϥʔ͸·Ͱվળ •ಘΒΕͨߏ଄ͷϑΟϧλʔ਺ΛͦΕͧΕ ݸ૿΍͢ͱΤϥʔ͸·Ͱվળ •·ͨɼΤϥʔͷ%FOTF/FUϞσϧ ͱൺֱͯ͠ഒͷ଎͞Ͱֶश͕ਐߦ  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH -FBSOJOH$POWPMVUJPOBM"SDIJUFDUVSFTGPS$*'"3

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 •σʔληοτ͕খ͍ͨ͞Ίਖ਼ଇԽ͕ඞཁ •छྨͷ%SPQPVUΛ࢖༻ • &NCFEEJOH%SPQPVUɿ૚ͷؒͷ݁߹ʹ %SPQPVUΛ͔͚Δ<;BSFNCB FUBM > • 3FDVSSFOU%SPQPVUɿ࣌ؒํ޲ͷ݁߹ʹ ม෼ۙࣅͨ͠%SPQPVUΛ͔͚Δ<(BM > •ೖྗͱग़ྗͷຒΊࠐΈΛڞ༗͢Δख๏ <1SFTT8PMG  > Λ࢖༻  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH -FBSOJOH3FDVSSFOU$FMMTGPS1FOO5SFFCBOL

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 •3// $POUSPMMFS ͸݁߹ํ๏ͱ ׆ੑԽؔ਺Λ༧ଌ • ݁߹ํ๏ɿ"EEɼ&MFN@NVMU • ׆ੑԽؔ਺ɿJEFOUJUZ UBOI TJHNPJE SFMV •ೖྗϖΞʹର͢Δॲཧ͸छྨ༧ଌ  ࿦จ঺հɿ/FVSBM"SDIJUFDUVSF4FBSDIXJUI3FJOGPSDFNFOU-FBSOJOH -FBSOJOH3FDVSSFOU$FMMTGPS1FOO5SFFCBOL ͜ͷϨϕϧͷϊʔυ͕ͭଘࡏ

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