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疎構造学習およびグラフ畳み込みニューラルネットワーク による異常検知 / Anomaly detection by the method combined with sparse structure learn- ing and graph convolutional neural network

kumagallium
March 16, 2019

疎構造学習およびグラフ畳み込みニューラルネットワーク による異常検知 / Anomaly detection by the method combined with sparse structure learn- ing and graph convolutional neural network

情報処理学会 第81回全国大会
https://www.ipsj.or.jp/event/taikai/81/

kumagallium

March 16, 2019
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  1. 1
    6 0 0 89
    13
    - 24 89
    - 24 89

    View full-size slide

  2. എܠ
    ໨త
    ఏҊख๏
    ࣮ݧ݁Ռ
    τϥϑΟοΫσʔλͷάϥϑԽ
    ৵ೖݕ஌͓ΑͼՄࢹԽ
    ·ͱΊ

    View full-size slide

  3. എܠ
    ໨త
    ఏҊख๏
    ࣮ݧ݁Ռ
    τϥϑΟοΫσʔλͷάϥϑԽ
    ৵ೖݕ஌͓ΑͼՄࢹԽ
    ·ͱΊ

    View full-size slide



  4. ਤ μʔΫωοτʹ͓͚Δ೥ؒ૯؍ଌύέοτ਺
    ԯԯԯ
    ԯ
    ԯ
    ԯ
    ԯ
    ԯ
    ԯ
    ԯ
    ԯ








    ਤ Πϯλʔωοτʹ઀ଓ͕Մೳͳػثٴͼηϯαʔ
    ωοτϫʔΫͷ຤୺ͱͯ͠࢖ΘΕΔ୺຤ͷ୆਺
    ૯຿ল৘ใ௨৴നॻɿIUUQXXXTPVNVHPKQNFOV@TFJTBLVIBLVTZPJOEFYIUNM
    /*$5&3؍ଌϨϙʔτɿ IUUQTXXXOJDUHPKQDZCFSSFQPSU/*$5&3@SFQPSU@QEG
    զʑ͕ීஈར༻͢ΔΠϯλʔωοτ͸ɼεϚϗ΍*P5σόΠεͷٸ଎ͳීٴ
    ʹ൐͍ɼࠓ΍͔ܽ͢͜ͱ͕Ͱ͖ͳ͍ࣾձج൫ͱͳ͍ͬͯΔɽͱ͜Ζ͕ɼαΠό
    ʔ߈ܸͷڴҖ΋೥ʑ૿Ճ͍ͯ͠ΔɽͦͷͨΊɼαΠόʔ߈ܸରࡦͷඞཁੑ͕ߴ
    ·͖͍ͬͯͯΔɽ

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  5. α Π ό ʔ ߈ ܸ ର ࡦ ͷ ̍ ͭ ͱ ͠ ͯ ɼ ෆ ਖ਼ ͳ ௨ ৴ Λ ݕ ஌ ͢ Δ
    ৵ೖݕ஌γεςϜ *%4 *OUSVTJPO %FUFDUJPO 4ZTUFN
    ͕ଘࡏ͢Δɽ
    ಛʹ࠷ۙͰ͸ɼػցֶशܕ*%4ͷݚڀ͕੝ΜʹߦΘΕ͍ͯΔɽ
    σʔλͷେଟ਺͸ਖ਼ৗͰ͋ΔͱԾఆͯ͠ɼ
    ਖ਼ৗσʔλͷΈΛֶश͢Δख๏
    • LNFBOT๏
    • 0OFDMBTT47. ͳͲ
    ڭࢣͳֶ͠शܕ
    ϥϕϧͷ෇༩͕ෆཁ
    ֶश
    ৽نσʔλ
    ਖ਼ৗσʔλ ਖ਼ৗϞσϧ
    ਖ਼ৗϞσϧ
    ਖ਼ৗͷԾఆ͕೉͍͠
    ڭࢣ͋Γֶशܕ
    ϥϕϧͷ͍ͭͨڭࢣσʔλΛֶश͢
    Δख๏
    • Lۙ๣๏
    • χϡʔϥϧωοτϫʔΫ ͳͲ
    ਖ਼ৗσʔλ
    ҟৗσʔλ
    ֶश
    Ϟσϧ
    ৽نσʔλ
    Ϟσϧ
    ط஌߈ܸʢ·ͨ͸ྨࣅ߈ܸʣ
    ʹରͯ͠ߴ͍ݕ஌཰

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  6. ҟৗݕ஌
    τϥϑΟοΫ ݕূ ରॲ
    ͲΜͳҟৗʁ
    ຊ౰ʹҟৗʁ
    ਖ਼ৗҟৗ
    ҟৗͷछྨ
    ख๏ ༧ଌਫ਼౓ ֶशର৅ จݙ
    χϡʔϥϧωοτϫʔΫ ਖ਼ৗҟৗ

    αϙʔτϕΫλʔϚγϯ ਖ਼ৗҟৗ

    -45. ҟৗͷछྨʢछʣ

    ϕΠδΞϯωοτϫʔΫ ҟৗͷछྨʢछʣ

    ද ػցֶशܕ*%4ͷઌߦݚڀͷྫ
    ͢Ͱʹߴ͍༧ଌਫ਼౓͕ใࠂ͕ଘࡏ
    ଟ͘ͷ࣌ؒΛඅ΍͢

    4.VLLBNBMB FUBM 5SBJOJOH


    +,JNFUBM ``JO1SPD*OU$POG1MBUGPSN5FDIOPM4FSWJDF
    r

    4$IFCSPMV FUBM $PNQVUFST4FDVSJUZ

    ݕূʹଟ͘ͷ࣌ؒΛඅ΍͢͜ͱΛආ͚ΔͨΊɼݕূͷॿ͚ʹͳΔ൑அࡐྉͷ
    ఏڙ͕ඞཁͰ͋Δɽ

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  7. ը૾ॲཧͷ෼໺Ͱ͸ɼೖྗը૾ͷͲͷ෦෼͕ॏཁͰ͋Δ͔Λఆྔత਺஋͓Αͼ
    ͦΕʹج͍ͮͨՄࢹԽʹΑͬͯ൑ఆ݁ՌΛઆ໌͢Δख๏͕͢ͰʹఏҊ͞Ε͍ͯΔ
    ਤ ൑ఆ݁ՌͷՄࢹԽʹΑΔઆ໌ΛՄೳʹͨ͠ઌߦݚڀ


    .3JCFJSP 44JOHIBOE$(VFTUSJO *O1SPDFFEJOHTPGUIFOE"$.4*(,%%*OUFS OBUJPOBM$POGFSFODFPO,OPXMFEHF%JTDPWFSZBOE
    %BUB.JOJOH ,%%



    3'POH "7FEBMEJ *O1SPDFFEJOHTPG1SPDFFEJOHTPGUIF*&&&*OUFSOBUJPOBM$POGFSFODFPO$PNQVUFS7JTJPO *$$7


    ਤ ൑ఆ݁ՌͷՄࢹԽʹΑΔઆ໌ΛՄೳʹͨ͠ઌߦݚڀ

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  8. ը૾ॲཧͷ෼໺Ͱ͸ɼೖྗը૾ͷͲͷ෦෼͕ॏཁͰ͋Δ͔Λఆྔత਺஋͓Αͼ
    ͦΕʹج͍ͮͨՄࢹԽʹΑͬͯ൑ఆ݁ՌΛઆ໌͢Δख๏͕͢ͰʹఏҊ͞Ε͍ͯΔ
    ਤ ൑ఆ݁ՌͷՄࢹԽʹΑΔઆ໌ΛՄೳʹͨ͠ઌߦݚڀ


    .3JCFJSP 44JOHIBOE$(VFTUSJO *O1SPDFFEJOHTPGUIFOE"$.4*(,%%*OUFS OBUJPOBM$POGFSFODFPO,OPXMFEHF
    %JTDPWFSZBOE%BUB.JOJOH ,%%



    3'POH "7FEBMEJ *O1SPDFFEJOHTPG1SPDFFEJOHTPGUIF*&&&*OUFSOBUJPOBM$POGFSFODFPO$PNQVUFS7JTJPO *$$7


    ਤ ൑ఆ݁ՌͷՄࢹԽʹΑΔઆ໌ΛՄೳʹͨ͠ઌߦݚڀ

    *%4ʹ͓͍ͯ΋ɼ
    τϥϑΟοΫͷͲͷཁૉ͕ݕ஌݁Ռʹରͯ͠Өڹ͍͔ͯͨ͠ Λ
    ఆྔత਺஋ʹج͍ͮͨՄࢹԽʹΑͬͯઆ໌
    Ͱ͖Ε͹ɼݕূͷॿ͚ͱͳΔ

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  9. DARPA 1998 Dataset






    *1
    5$1
    )551
    4:/
    "$,
    ྫʣ
    ֤ϑΟʔϧυ৘ใ͸ɼϓϩτίϧʹैͬͨ࣌ܥྻతڍಈΛࣔ͢ɽ
    4ZO
    4ZO"DL
    "DL

    ΢ΣΠϋϯυγΣΠΫ
    τϥϑΟοΫσʔλΛෳ਺ͷཁૉͱͦΕΒͷؔ܎ੑΛ௚ײతʹཧղͰ͖Δ
    άϥϑߏ଄Ͱදݱ͢Δ͜ͱʹண໨ͨ͠ɽ
    ҎԼͷఆٛʹΑΓɼτϥϑΟοΫΛάϥϑߏ଄Խ͢Δɽ
    ϊʔυɿϑΟʔϧυ৘ใ
    ΤοδɿϑΟʔϧυ৘ใͷ࣌ܥྻతڍಈͷ૬ؔ
    άϥϑߏ଄Խ

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  10. *1
    5$1
    )551
    4:/
    "$,
    4ZO
    4ZO"DL
    "DL
    4ZO
    4ZO"DL




    *1
    5$1
    )551
    4:/
    "$,
    ૬ؔؔ܎ͷ่Ε
    ڭࢣͳֶ͠श

    ˠ ҟৗ
    ˠ ਖ਼ৗ
    άϥϑߏ଄Խ
    ྫʣ ϥϕϧͷ෇༩
    ڭࢣ͋Γֶश
    τϥϑΟοΫͷάϥϑߏ଄ԽΛར༻͠ɼఆྔత਺஋ʹج͍ͮͨՄࢹԽʹΑ
    ͬͯݕ஌݁Ռʢҟৗʣͷઆ໌͕Ͱ͖Δػցֶशܕ*%4ͷ࣮ݱΛ໨తͱ͢Δɽ
    ຊݚڀͰண໨




    ՄࢹԽͷྫʣ
    ϊʔυ
    ෦෼άϥϑ

    5*EF "$-P[BOP /"CFBOE:-JV 4QFFDIBOE4JHOBM1SPDFTTJOH *$"441


    View full-size slide

  11. എܠ
    ໨త
    ఏҊख๏
    ࣮ݧ݁Ռ
    τϥϑΟοΫσʔλͷάϥϑԽ
    ৵ೖݕ஌͓ΑͼՄࢹԽ
    ·ͱΊ

    View full-size slide



  12. ՄࢹԽ
    %"31"
    ෳ਺ͷ࣌ܥྻಛ௃ྔΛநग़
    ର਺ࠩ෼ܥྻσʔλ΁ͷม׵
    ඪ४Խ
    ૄߏ଄ֶशʢ(SBQIJDBM-BTTPʣ
    dڭࢣ͋Γֶश d
    άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫ
    άϥϑߏ଄Խͨ͠τϥϑΟοΫσʔλʹج͍ͮͨػցֶशख๏Λར༻͢Δ
    ͜ͱʹΑΓɺ৵ೖݕ஌͓ΑͼՄࢹԽͷ྆ํΛ࣮ݱ͢Δɽ
    લॲཧ
    σʔληοτ
    άϥϑߏ଄Խ
    ৵ೖݕ஌
    ֶशϞσϧ 'JOHFS1SJOU
    ػցֶशख๏

    View full-size slide




  13. ि ༵೔ ߈໊ܸ ࣌ؒ
    ݄ GPSNBU
    ݄ GGC
    Ր MPBENPEVMF
    ʜ ʜ ʜ ʜ
    ۚ OFQUVOF
    ۚ TNVSG
    ۚ OFQUVOF
    ۚ CBDL
    ද %"31"%BUBTFUͷ߈ܸ৘ใ
    ఏҊख๏Ͱ͸ɼϥϕϧ͕෇༩͞ΕͨύέοτΩϟϓνϟܕͷτϥϑΟοΫ͕
    ඞཁͰ͋ΔͨΊɼ%"31"Λ࢖༻ͨ͠ɽຊσʔληοτ͸ɼԾ૝తʹߏங
    ͨ͠ωοτϫʔΫ΁ͷ߈ܸΛ૝ఆͨ͠ͱ͖ͷ5DQEVNQσʔλ͓Αͼ߈ܸ৘ใΛ
    ఏڙ͍ͯ͠Δɽ
    4:/GMPPE 4NVSG
    %"31"σʔληοτ dि
    ͷ͏ͪɼ
    ि໨ͷ༵ۚ೔ͷσʔλΛ࢖༻ͨ͠
    4ZO
    4ZO"DL
    QJOH

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  14. छྨͷ࣌ܥྻಛ௃ྔʹ෼ղ
    ର਺ࠩ෼
    ෼ࠩ෼

    ՄࢹԽ
    %"31"
    ෳ਺ͷ࣌ܥྻಛ௃ྔΛநग़
    ର਺ࠩ෼ܥྻσʔλ΁ͷม׵
    ඪ४Խ
    ૄߏ଄ֶशʢ(SBQIJDBM-BTTPʣ
    dڭࢣ͋Γֶश d
    άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫ
    ৵ೖݕ஌
    ֶशϞσϧ 'JOHFS1SJOU

    View full-size slide


  15. ʜ ʜ

    ΢Οϯυ΢αΠζ෼
    ຊݚڀͰ͸ɼ-੍໿෇͖ͷૄߏ଄ֶशख
    ๏Ͱ͋Δ(SBQIJDBM-BTTPΛར༻͠ɼ෼ͷ
    ΢Οϯυ΢αΠζͰάϥϑߏ଄Խͨ͠ɽ
    ՄࢹԽ
    %"31"
    ෳ਺ͷ࣌ܥྻಛ௃ྔΛநग़
    ର਺ࠩ෼ܥྻσʔλ΁ͷม׵
    ඪ४Խ
    ૄߏ଄ֶशʢ(SBQIJDBM-BTTPʣ
    dڭࢣ͋Γֶश d
    άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫ
    ৵ೖݕ஌
    ֶशϞσϧ 'JOHFS1SJOU

    View full-size slide

  16. ʜ ʜ
    ΢Οϯυ΢αΠζ෼






















    ग़ྗ:
    ʢਖ਼ৗҟৗʣ
    ෼ྨ




    1PPMJOH
    'JOHFSQSJOU
    1PPMJOH
    'JOHFSQSJOU
    ̍ۙ๣ ۙ๣
    ʜ
    ʜ
    //

    ˎ 8
    ˎ 8
    ˎ 8
    $POW૚ $POW૚
    ˎ 8
    ˎ 8
    ˎ 8
    ೖྗ
    άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫ
    'JOHFSQSJOU௕ɿ
    ࠷େۙ๣਺ɿ
    ӅΕ૚αΠζɿ
    όοναΠζɿ
    ΤϙοΫ਺ɿ
    σʔλͷׂ߹ʢ܇࿅ɿݕূʣɿ70:30
    ($//ͷֶशύϥϝʔλ
    %"31"
    ෳ਺ͷ࣌ܥྻಛ௃ྔΛநग़
    ର਺ࠩ෼ܥྻσʔλ΁ͷม׵
    ඪ४Խ
    ૄߏ଄ֶशʢ(SBQIJDBM-BTTPʣ
    dڭࢣ͋Γֶश d
    άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫ
    ՄࢹԽ
    ৵ೖݕ஌
    ֶशϞσϧ 'JOHFS1SJOU

    View full-size slide

  17. άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫʢ($//ʣ


    IUUQTMJCSBSZOBJTUKQNZMJNFEJPEMMJNFEJPTIPXQEGDHJ%-1%'3@1
    $//ͷ৔߹
    ($//ͷ৔߹
    $//ͷ৔߹ɼݩը૾ͱϑΟϧλʔͱͷ৞ΈࠐΈԋࢉʹΑΓɼಛఆըૉͱपΓ
    ͷըૉͱͷؔ܎ੑʢಛ௃ʣΛ࣍ͷ૚΁ͱ౉͢ɽ($//͸ɼϊʔυʹΑͬͯۙ઀ϊ
    ʔυͷ਺͸ҟͳΔ͕ɼ$//ͱಉ༷ʹ஫໨ϊʔυͱͦͷपΓͷϊʔυͱͷؔ܎ੑΛ
    ৞ΈࠐΈԋࢉʹΑΓ࣍ͷ૚΁ͱ౉͢ɽ
    ਤ άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫͷུ֓ਤ͓Αͼάϥϑදݱ
    ਤ ৞ΈࠐΈԋࢉͷྫ͓Αͼάϥϑදݱ




















    ग़ྗ:
    ʢਖ਼ৗҟৗʣ
    ෼ྨ




    1PPMJOH
    'JOHFSQSJOU
    1PPMJOH
    'JOHFSQSJOU
    ̍ۙ๣ ۙ๣
    ʜ
    ʜ
    //

    ˎ 8
    ˎ 8
    ˎ 8
    $POW૚ $POW૚
    ˎ 8
    ˎ 8
    ˎ 8
    ೖྗ
    ݩը૾ ϑΟϧλʔ
    I
    I
    I
    I

    View full-size slide

  18. άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫʢ($//ʣ


    %BWJE%VWFOBVE FUBM *OUIF1SPD/*14 .POUSFBM $BOBEB %FDFNFCFS
    ຊݚڀͰ͸ɼ($//ͷதͰ΋/'1 /FVSBM 'JOHFS 1SJOUΛར༻͢Δɽઌߦݚڀ
    Ͱ͸ɼಟੑͳͲͷߴਫ਼౓ͳ༧ଌʹ੒ޭ͠ɼ'JOHFS 1SJOUͷੜ੒ʹ੒ޭͨ͠ɽ
    'JOHFS 1SJOU͸ɼೖྗͨ͠άϥϑߏ଄Λ࣍ݩϕΫτϧͰදݱͨ͠΋ͷͰ͋Δɽ
    ֤Ϗοτ͕෦෼άϥϑʹ૬౰͠ɼ஋͕݁Ռʢಟੑʣʹର͢ΔӨڹ౓ ʹ૬౰͢Δɽ
    ਤ ಟੑΛ༧ଌ͢ΔͨΊʹ࠷దԽ͞Εͨ'JOHFS1SJOUͷՄࢹԽ




















    ग़ྗ:
    ʢਖ਼ৗҟৗʣ
    ෼ྨ




    1PPMJOH
    'JOHFSQSJOU
    1PPMJOH
    'JOHFSQSJOU
    ̍ۙ๣ ۙ๣
    ʜ
    ʜ
    //

    ˎ 8
    ˎ 8
    ˎ 8
    $POW૚ $POW૚
    ˎ 8
    ˎ 8
    ˎ 8
    ೖྗ















    ʜ
    ˞ਖ਼֬ʹ͸ɼͰ͸ͳ͘d·Ͱͷ஋
    'JOHFS1SJOU
    ਤ /'1ͷωοτϫʔΫུ֓ਤ

    View full-size slide

  19. άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫʢ($//ʣ


    %BWJE%VWFOBVE FUBM *OUIF1SPD/*14 .POUSFBM $BOBEB %FDFNFCFS
    ຊݚڀͰ͸ɼ($//ͷதͰ΋/'1 /FVSBM 'JOHFS 1SJOUΛར༻͢Δɽઌߦݚڀ
    Ͱ͸ɼಟੑͳͲͷߴਫ਼౓ͳ༧ଌʹ੒ޭ͠ɼ'JOHFS 1SJOUͷੜ੒ʹ੒ޭͨ͠ɽ
    'JOHFS 1SJOU͸ɼೖྗͨ͠άϥϑߏ଄Λ࣍ݩϕΫτϧͰදݱͨ͠΋ͷͰ͋Δɽ
    ֤Ϗοτ͕෦෼άϥϑʹ૬౰͠ɼ஋͕݁Ռʢಟੑʣʹର͢ΔӨڹ౓ ʹ૬౰͢Δɽ
    ਤ ಟੑΛ༧ଌ͢ΔͨΊʹ࠷దԽ͞Εͨ'JOHFS1SJOUͷՄࢹԽ




















    ग़ྗ:
    ʢਖ਼ৗҟৗʣ
    ෼ྨ




    1PPMJOH
    'JOHFSQSJOU
    1PPMJOH
    'JOHFSQSJOU
    ̍ۙ๣ ۙ๣
    ʜ
    ʜ
    //

    ˎ 8
    ˎ 8
    ˎ 8
    $POW૚ $POW૚
    ˎ 8
    ˎ 8
    ˎ 8
    ೖྗ















    ʜ
    ˞ਖ਼֬ʹ͸ɼͰ͸ͳ͘d·Ͱͷ஋
    'JOHFS1SJOU
    ਤ /'1ͷωοτϫʔΫུ֓ਤ
    άϥϑԽͨ͠τϥϑΟοΫσʔλΛ($//Ͱֶश͢Δ͜ͱʹΑΓɼ
    ݕ஌݁ՌʢҟৗʣΛઆ໌Ͱ͖Δ෦෼άϥϑͷՄࢹԽ͕Ͱ͖Δͱߟ͑ΒΕΔɽ

    View full-size slide

  20. ʜ ʜ
    ΢Οϯυ΢αΠζ෼






















    ग़ྗ:
    ʢਖ਼ৗҟৗʣ
    ෼ྨ




    1PPMJOH
    'JOHFSQSJOU
    1PPMJOH
    'JOHFSQSJOU
    ̍ۙ๣ ۙ๣
    ʜ
    ʜ
    //

    ˎ 8
    ˎ 8
    ˎ 8
    $POW૚ $POW૚
    ˎ 8
    ˎ 8
    ˎ 8
    ೖྗ
    άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫ
    'JOHFSQSJOU௕ɿ
    ࠷େۙ๣਺ɿ
    ӅΕ૚αΠζɿ
    όοναΠζɿ
    ΤϙοΫ਺ɿ
    σʔλͷׂ߹ʢ܇࿅ɿݕূʣɿ70:30
    ($//ͷֶशύϥϝʔλ
    ՄࢹԽ
    %"31"
    ෳ਺ͷ࣌ܥྻಛ௃ྔΛநग़
    ର਺ࠩ෼ܥྻσʔλ΁ͷม׵
    ඪ४Խ
    ૄߏ଄ֶशʢ(SBQIJDBM-BTTPʣ
    dڭࢣ͋Γֶश d
    άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫ
    ৵ೖݕ஌
    ֶशϞσϧ 'JOHFS1SJOU

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  21. എܠ
    ໨త
    ఏҊख๏
    ࣮ݧ݁Ռ
    τϥϑΟοΫσʔλͷάϥϑԽ
    ৵ೖݕ஌͓ΑͼՄࢹԽ
    ·ͱΊ

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  22. τϥϑΟοΫσʔλͷάϥϑԽ

    छྨͷ࣌ܥྻಛ௃ྔʹ- ੍໿෇͖ͷૄߏ଄ֶशख๏(SBQIJDBM -BTTPΛద
    ༻ͨ݁͠Ռɼૄͳ૬ؔؔ܎ͷάϥϑߏ଄͕ಘΒΕΔ͜ͱΛ֬ೝͨ͠ɽ
    ૄͳάϥϑߏ଄ʹ͢Δ͜ͱʹΑΓɼ৘ใྔͷѹॖ΍ϊΠζ΁ͷؤڧੑʹ༗ޮͰ
    ͋Δͱߟ͑ΒΕΔɽ
    (SBQIJDBM-BTTP
    ਤ τϥϑΟοΫσʔλ͔Β࡞੒ͨ͠άϥϑߏ଄(SBQIJDBM-BTTPͷద༻લ͓Αͼ ద༻ޙ

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  23. എܠ
    ໨త
    ఏҊख๏
    ࣮ݧ݁Ռ
    τϥϑΟοΫσʔλͷάϥϑԽ
    ৵ೖݕ஌͓ΑͼՄࢹԽ
    ·ͱΊ

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  24. ਖ਼ղσʔλ
    ༧ଌ݁Ռ
    άϥϑߏ଄Խͨ͠τϥϑΟοΫσʔλΛ($//Ͱֶशͨ݁͠Ռɼ༧ଌਫ਼౓͕
    ͱͳͬͨɽ͜ͷ஋͸ઌߦݚڀͰใࠂ͞Ε͍ͯΔ஋ͱಉఔ౓ʹߴ͍஋Ͱ͋Δɽ
    ਤ ਖ਼ղσʔλ͓ΑͼֶशϞσϧʹΑΔ༧ଌ݁Ռ
    ख๏ ༧ଌਫ਼౓ จݙ
    χϡʔϥϧωοτϫʔΫ

    αϙʔτϕΫλʔϚγϯ

    -45.

    ϕΠδΞϯωοτϫʔΫ

    ද ػցֶशܕ*%4ͷઌߦݚڀͷྫ

    4.VLLBNBMB FUBM 5SBJOJOH


    +,JNFUBM ``JO1SPD*OU$POG1MBUGPSN5FDIOPM4FSWJDF
    r

    4$IFCSPMV FUBM $PNQVUFST4FDVSJUZ

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  25. ($//Ͱֶशͨ͠ϞσϧΛར༻͠ɼ'JOHFS 1SJOUͷऔಘʹ੒ޭͨ͠ɽ
    4:/GMPPE߈ܸ࣌ɼҟৗ͕ݕ஌͞Εɼ'JOHFS 1SJOU಺Ͱߴ͍Өڹ౓Λࣔ͢෦
    ෼άϥϑ͸ɼ)551ͱ4:/ͷ૬ؔؔ܎ʹؔ࿈͢Δ΋ͷͰ͋ͬͨɽ
    (a)
    (b) ਤ 'JOHFSQSJOU͓ΑͼҟৗͷཁҼͱͳͬͨ෦෼άϥϑͷҰྫ4:/qPPE߈ܸ
    ෦෼άϥϑ
    'JOHFS1SJOU
    Өڹ౓

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  26. 4NVSG߈ܸ࣌ɼ'JOHFS1SJOU಺ͷӨڹ౓ͷߴ͍෦෼άϥϑ͸ɼૹ৴ݩ*1͓Αͼ
    *$.1ͷ૬ؔؔ܎ʹؔ࿈͢Δ΋ͷͰ͋ͬͨɽ
    ఏҊख๏ᶄͰ͸ϊʔυؒͷ૬ؔؔ܎ʢ෦෼άϥϑʣͷՄࢹԽͰ͖ΔͨΊɼϊ
    ʔυͷՄࢹԽͷΈͰ͋ͬͨఏҊख๏ᶃΑΓ΋۩ମతͳઆ໌ੑ͕ظ଴Ͱ͖Δɽ
    (b)
    ਤ 'JOHFSQSJOU͓ΑͼҟৗͷཁҼͱͳͬͨ෦෼άϥϑͷҰྫ4:/GMPPE߈ܸ
    ෦෼άϥϑ
    'JOHFS1SJOU
    Өڹ౓

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  27. ग़ྗ:
    ʢਖ਼ৗҟৗʣ
    ෼ྨ




    1PPMJOH
    'JOHFSQSJOU
    1PPMJOH
    'JOHFSQSJOU
    ̍ۙ๣ ۙ๣
    ʜ
    ʜ
    //

    ˎ 8
    ˎ 8
    ˎ 8
    $POW૚ $POW૚
    ˎ 8
    ˎ 8
    ˎ 8
    ೖྗ
    ($//Ͱ͸ɺ
    ਖ਼ৗঢ়ଶ͓Αͼҟৗঢ়ଶΛ෦෼άϥϑ୯ҐͰֶश͢ΔͨΊɼෳ਺ͷਖ਼ৗঢ়
    ଶ͕ଘࡏ͢Δ৔߹ʹ΋ؤڧͳݕ஌͕ظ଴Ͱ͖Δɽ
    ਤ /'1ͷωοτϫʔΫུ֓ਤ
    Ұൠతͳڭࢣͳֶ͠शͰ͸ɺ
    ୯Ұͷਖ਼ৗঢ়ଶΛԾఆ͢Δ৔߹ɼෳ਺ͷਖ਼ৗঢ়ଶʢ࣌ؒґଘ΍؀ڥґଘͳͲʣ
    ͕ଘࡏͨ͠ࡍʹޡݕ஌͢Δ৔߹͕༧૝͞ΕΔɽ

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  28. എܠ
    ໨త
    ఏҊख๏
    ࣮ݧ݁Ռ
    τϥϑΟοΫσʔλͷάϥϑԽ
    ৵ೖݕ஌͓ΑͼՄࢹԽ
    ·ͱΊ

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  29. ·ͱΊ
    • τϥϑΟοΫσʔλͷάϥϑߏ଄Խʹ੒ޭͨ͠ɽ
    • άϥϑߏ଄ʹج͍ͮͨػցֶशख๏ΛఏҊͨ͠ɽ
    • ৵ೖݕ஌ͷΈͳΒͣɼݕ஌݁ՌΛఆྔతͳ਺஋
    ʹج͍ͮͨϊʔυ΍෦෼άϥϑͷՄࢹԽʹΑͬ
    ͯઆ໌Ͱ͖Δ*%4࣮ݱͷՄೳੑΛࣔͨ͠ɽ
    ࠓޙͷ՝୊
    • ࠷৽σʔληοτͰͷ༗ޮੑݕূ
    • ϊʔυʢ࣌ܥྻಛ௃ྔʣͷछྨͷ࠶ݕ౼
    • 'JOHFS1SJOUͷΫϥελϦϯάʹΑΔઆ໌ੑͷ
    ޲্
    • άϥϑߏ଄ʹର͢Δ"VUP&ODPSEFSͳͲɺڭࢣ
    ͳֶ͠शΛར༻ͨ͠*%4ͷݕ౼
    ͝ਗ਼ௌ͋Γ͕ͱ͏͍͟͝·ͨ͠
    %"31"
    ෳ਺ͷ࣌ܥྻಛ௃ྔΛநग़
    ର਺ࠩ෼ܥྻσʔλ΁ͷม׵
    ඪ४Խ
    ૄߏ଄ֶशʢ(SBQIJDBM-BTTPʣ
    ՄࢹԽ
    dڭࢣ͋Γֶश d
    άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫ
    ৵ೖݕ஌
    ֶशϞσϧ 'JOHFS1SJOU

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