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CoqSSRMathComp.pdf

 CoqSSRMathComp.pdf

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Masakazu Asama

June 09, 2018
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  1. $PR443FqFDU.BUI$PNQ Ͱఆཧূ໌ ઙؒਖ਼࿨!/*40$ 

  2. ͜Μͳܦݧ͋Γ·ͤΜ͔ʁ !2 041'΍*4*4ͱ͍͍ͬͨΘΏΔϦϯΫεςʔτܕ ͷϧʔςΟϯάϓϩτίϧͰ͸μΠΫετϥ๏ͱ ݺ͹ΕΔΞϧΰϦζϜͰܦ࿏Λܭࢉ͢Δ͕ Ռͨͯ͠ຊ౰ʹμΠΫετϥ๏Ͱܭࢉͨ͠ܦ࿏ʹ ͸lઈରʹzϧʔϓ͕ଘࡏ͠ͳ͍ͷͩΖ͏͔ʁ ͱ͍͏͜ͱ͕ؾʹͳͬͯ໷ͳ͔ͳ͔৸෇͚ͳ͍ $PR443FqFDU.BUI$PNQΛ࢖͑͹ʜ 

    ͦͷূ໌ʹໃ६΍ඈ༂͕ͳ͍͔νΣοΫͰ͖Δ  ࢖༻͢ΔఆཧͳͲΛ؆୯ʹ֬ೝͰ͖Δ 㱠উखʹূ໌ͯ͘͠ΕΔ ˞ͨͩͦ͠͏͍͏ͷ΋͋Δ Πϥετ $ ͍Β͢ͱ΍
  3. $PR443FqFDU.BUI$PNQ w $PR w ఆཧূ໌ࢧԉγεςϜͷͻͱͭ w (BMMJOBͱݺ͹ΕΔϓϩάϥϛϯάݴޠ͕ఏڙ͞Ε͓ͯΓ(BMMJOBΛ ༻͍ͯূ໌Λهड़͢ΔˠܗࣜԽ w 443FqFDU

    w $PRͰܗࣜԽ͢ΔࡍͷศརͳϞϊΛ·ͱΊͨϥΠϒϥϦ w ΋ͱ΋ͱ͸࢛৭ఆཧ 'PVSDPMPSUIFPSFN ͷূ໌ͷܗࣜԽͷࡍ ʹඞཁͱͳͬͨఆཧͳͲ͕·ͱΊΒΕͨ΋ͷ w .BUI$PNQ w ح਺Ґ਺ఆཧ 'FJU5IPNQTPOUIFPSFN0EEPSEFSUIFPSFN Λ ূ໌ΛܗࣜԽ͢Δࡍʹඞཁͱͳͬͨ΋ͷΛ·ͱΊͨ΋ͷ w ݱࡏ͸443FqFDUΛؚΉ !3
  4. ࢛৭ఆཧ 'PVSDPMPSUIFPSFN w טΈࡅ͍͍ͯ͏ͱʰͲΜͳ஍ਤͰ͋ͬͯ΋
 ࢛৭͋Ε͹ྡ઀͢ΔྖҬ͕ҟͳΔ৭ʹͳΔ
 Α͏ʹృΓ෼͚Δࣄ͕Ͱ͖Δʱͱ͍͏ఆཧ w ೥ʹϑϥϯγεɾΨεϦʔ͕ఋͷϑϨ
 σϦοΫɾΨεϦʔʹ࣭໰ͨ͠ͷ͕ॳग़ͱ
 ͞Ε͍ͯΔ

    w ೥ʹέωεɾΞοϖϧͱϰΥϧϑΨϯ
 άɾϋʔέϯʹΑͬͯίϯϐϡʔλΛར༻
 ͨ͠ূ໌͕ͳ͞Ε͕ͨਓखʹΑΔ࣮ߦ͕ࣄ
 ্࣮ෆՄೳͳن໛ͩͬͨͨΊʹݕূΛߦ͏
 ࣄ͕Ͱ͖ͣຊ౰ʹূ໌Ͱ͖͍ͯΔͷ͔ٙ໰
 ࢹ͢Δ޲͖΋͋ͬͨ w ೥ʹδϣϧδϡɾΰϯςΟΤʹΑͬͯ$PRΛ༻͍ͨূ໌ͷܗࣜ Խ͕ߦΘΕݱࡏͰ͸࢛৭ఆཧ͸ূ໌͞Εͨͱଊ͑ΒΕ͍ͯΔ !4 ը૾8JLJQFEJBΑΓҾ༻
  5. ͜Μͳײ͡ !5

  6. ͜Μͳײ͡ !6 εΫϦϓτΤϦΞ ূ໌Λॻ͘ ܗࣜԽ͢Δ ͱ͜Ζ

  7. ͜Μͳײ͡ !7 ΰʔϧΤϦΞ ݱࡏͷঢ়ଶ͕දࣔ͞ΕΔͱ͜Ζ ্ஈʜίϯςΩετ ৚݅ͳͲ͕දࣔ͞ΕΔ Լஈʜαϒΰʔϧ ূ໌͍ͨ͜͠ͱ

  8. ͜Μͳײ͡ !8 ϨεϙϯεΤϦΞ ίϚϯυͷग़ྗ͕දࣔ͞ΕΔͱ͜Ζ

  9. ͜Μͳײ͡ !9 ূ໌ΛਐΊͨΓ໭ͨ͠Γ͢ΔͨΊͷϘλϯ ਐΊΔͱഎܠ৭͕มΘΔ

  10. ͜Μͳײ͡ !10

  11. ͜Μͳײ͡ !11

  12. ͜Μͳײ͡ !12

  13. ͜Μͳײ͡ !13

  14. ͜Μͳײ͡ !14

  15. ͜Μͳײ͡ !15

  16. ͜Μͳײ͡ !16

  17. ͜Μͳײ͡ !17

  18. ͜Μͳײ͡ !18

  19. ͜Μͳײ͡ !19

  20. ͜Μͳײ͡ !20

  21. ͜Μͳײ͡ !21

  22. ͜Μͳײ͡ !22

  23. ͜Μͳײ͡ !23

  24. ͜Μͳײ͡ !24

  25. ͜Μͳײ͡ !25

  26. ͜Μͳײ͡ !26

  27. ͜Μͳײ͡ !27

  28. ͜Μͳײ͡ !28

  29. ͜Μͳײ͡ !29

  30. ͜Μͳײ͡ !30

  31. ͜Μͳײ͡ !31

  32. ͜Μͳײ͡ !32

  33. ͜Μͳײ͡ !33

  34. ͜Μͳײ͡ !34

  35. ͜Μͳײ͡ !35

  36. ͜Μͳײ͡ !36

  37. ͱ͜ΖͰ !37

  38. ͱ͜ΖͰ !38

  39. ͱ͜ΖͰ !39

  40. ͱ͜ΖͰ !40

  41. w ೥ʹϋεέϧɾΧϦʔ͕ώϧϕϧτͷਪ࿦ମܥͱίϯϏωʔλ ͕ରԠͯ͠ΔΜ͡Όͳ͍͔ͱࢦఠͨ͠ w ೥ʹ΢ΟϦΞϜɾΞϧϰΟϯɾϋϫʔυ͕ήϯπΣϯͷࣗવԋ៷ ͱ୯७ܕ෇͖ϥϜμܭࢉʹߏจతͳಉܕੑ͕͋Δ͜ͱΛࣔͨ͠ w ཁ͢ΔʹҎԼͷରԠ͕͋ΔΒ͍͠ w $PR͸ܕγεςϜͷධՁΛ͢Δ͜ͱͰূ໌ʹޡΓ͕ͳ͍͜ͱΛอূ͠

    ͍ͯΔʁʁʁ ΧϦʔʹϋϫʔυಉܕରԠ !41 ϓϩάϥϜɹɹূ໌ ܕɹɹ໋୊ ϓϩάϥϜͷධՁɹɹূ໌ͷ୯७Խ
  42. ·ͱΊ w $PR443FqFDU.BUI$PNQΛ࢖͑͹ܭࢉػͷྗΛआΓͯఆཧূ໌ͷ ׬શੑΛอূ͢Δ͜ͱ͕Ͱ͖Δ w 443FqFDU.BUI$PNQʹ͸ศརͳఆཧͳͲ͕༻ҙ͞Ε͓ͯΓθϩ͔ ΒܗࣜԽ͢ΔखؒΛল͍ͯ͘ΕΔ w 443FqFDUʹ͸άϥϑཧ࿦ͷܗࣜԽΛߦ͏ͨΊͷϥΠϒϥϦ΋༻ҙ ͞Ε͍ͯΔ

    w ܗࣜԽͨ͠΋ͷ͸ܭࢉػͰػցతʹѻ͏͜ͱ΋ՄೳͳͷͰ΋͔ͨ͠͠ Βఆཧূ໌ͷࣗಈԽ΋Ͱ͖ΔΑ͏ʹͳΔ͔΋͠Εͳ͍ʁʁʁ w ͢ͰʹϓϨεόʔΨʔࢉज़ʁͱ͔͍͏ͷ͸େ෦෼Λܾఆ͢Δ͜ͱ͕ Ͱ͖ΔΒ͍͠ʁʁʁ !42
  43. ࢀߟจݙ w $PR443FqFDU.BUI$PNQʹΑΔఆཧূ໌ʙϑϦʔιϑτͰ͸͡Ί Δ਺ֶͷܗࣜԽʙഡݪֶɺΞϑΣϧτɾϨφϧυ w IUUQXXXNPSJLJUBDPKQCPPLTCPPL w .BUIFNBUJDBM$PNQPOFOUT UIFCPPL (JU)VC1BHFT

    w IUUQTNBUIDPNQHJUIVCJPNDC w 4PGUXBSF'PVOEBUJPOT w IUUQTTPGUXBSFGPVOEBUJPOTDJTVQFOOFEV w 1SPQPTJUJPOTBTUZQFT1IJMJQ8BEMFS w IUUQIPNFQBHFTJOGFEBDVLXBEMFSQBQFSTQSPQPTJUJPOT BTUZQFTQSPQPTJUJPOTBTUZQFTQEG w 5IF$PR1SPPG"TTJTUBOU w IUUQTDPRJOSJBGS w .BUIFNBUJDBM$PNQPOFOUT w IUUQNBUIDPNQHJUIVCJPNBUIDPNQ !43
  44. ࢀߟจݙ w $PRTPVSDFTGPSUIFQSPPGPGUIF'PVS$PMPS5IFPSFN  EJTUSJCVUFECZ.JDSPTPGU3FTFBSDI w IUUQSFTFBSDINJDSPTPGUDPNFOVTEPXOMPBETFC CEGDCGFECEFEEFGBVMUBTQY w 3PVUJOHJO&RVJMJCSJVN+PB

    _P-V ’T4PCSJOIP 5JNPUIZ((SJ⒏O w IUUQXXXDMDBNBDVLdUHHQVCMJDBUJPOT SPVUJOH@JO@FRVJMJCSJVN@NUOT@QEG w IUUQXXXDMDBNBDVLdUHHNFUBSPVUJOHSJFW !44