CoqSSRMathComp.pdf

Transcript

1. $PR443FqFDU.BUI$PNQ
   Ͱఆཧূ໌
   ઙؒਖ਼࿨!/*40$
   
   
   

   View Slide

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΍
   

   View Slide

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
   

   View Slide

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༻
   

   View Slide

5. ͜Μͳײ͡
   !5
   

   View Slide

6. ͜Μͳײ͡
   !6
   εΫϦϓτΤϦΞ
   ূ໌Λॻ͘ ܗࣜԽ͢Δ
   ͱ͜Ζ
   

   View Slide

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

   View Slide

8. ͜Μͳײ͡
   !8
   ϨεϙϯεΤϦΞ
   ίϚϯυͷग़ྗ͕දࣔ͞ΕΔͱ͜Ζ
   

   View Slide

9. ͜Μͳײ͡
   !9
   ূ໌ΛਐΊͨΓ໭ͨ͠Γ͢ΔͨΊͷϘλϯ
   ਐΊΔͱഎܠ৭͕มΘΔ
   
   

   View Slide

10. ͜Μͳײ͡
    !10
    

    View Slide

11. ͜Μͳײ͡
    !11
    

    View Slide

12. ͜Μͳײ͡
    !12
    

    View Slide

13. ͜Μͳײ͡
    !13
    

    View Slide

14. ͜Μͳײ͡
    !14
    

    View Slide

15. ͜Μͳײ͡
    !15
    

    View Slide

16. ͜Μͳײ͡
    !16
    

    View Slide

17. ͜Μͳײ͡
    !17
    

    View Slide

18. ͜Μͳײ͡
    !18
    

    View Slide

19. ͜Μͳײ͡
    !19
    

    View Slide

20. ͜Μͳײ͡
    !20
    

    View Slide

21. ͜Μͳײ͡
    !21
    

    View Slide

22. ͜Μͳײ͡
    !22
    

    View Slide

23. ͜Μͳײ͡
    !23
    

    View Slide

24. ͜Μͳײ͡
    !24
    

    View Slide

25. ͜Μͳײ͡
    !25
    

    View Slide

26. ͜Μͳײ͡
    !26
    

    View Slide

27. ͜Μͳײ͡
    !27
    

    View Slide

28. ͜Μͳײ͡
    !28
    

    View Slide

29. ͜Μͳײ͡
    !29
    

    View Slide

30. ͜Μͳײ͡
    !30
    

    View Slide

31. ͜Μͳײ͡
    !31
    

    View Slide

32. ͜Μͳײ͡
    !32
    

    View Slide

33. ͜Μͳײ͡
    !33
    

    View Slide

34. ͜Μͳײ͡
    !34
    

    View Slide

35. ͜Μͳײ͡
    !35
    

    View Slide

36. ͜Μͳײ͡
    !36
    

    View Slide

37. ͱ͜ΖͰ
    !37
    

    View Slide

38. ͱ͜ΖͰ
    !38
    

    View Slide

39. ͱ͜ΖͰ
    !39
    

    View Slide

40. ͱ͜ΖͰ
    !40
    

    View Slide

41. w ೥ʹϋεέϧɾΧϦʔ͕ώϧϕϧτͷਪ࿦ମܥͱίϯϏωʔλ
    ͕ରԠͯ͠ΔΜ͡Όͳ͍͔ͱࢦఠͨ͠
    w ೥ʹ΢ΟϦΞϜɾΞϧϰΟϯɾϋϫʔυ͕ήϯπΣϯͷࣗવԋ៷
    ͱ୯७ܕ෇͖ϥϜμܭࢉʹߏจతͳಉܕੑ͕͋Δ͜ͱΛࣔͨ͠
    w ཁ͢ΔʹҎԼͷରԠ͕͋ΔΒ͍͠
    w $PR͸ܕγεςϜͷධՁΛ͢Δ͜ͱͰূ໌ʹޡΓ͕ͳ͍͜ͱΛอূ͠
    ͍ͯΔʁʁʁ
    ΧϦʔʹϋϫʔυಉܕରԠ
    !41
    ϓϩάϥϜɹɹূ໌
    ܕɹɹ໋୊
    ϓϩάϥϜͷධՁɹɹূ໌ͷ୯७Խ
    

    View Slide

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
    

    View Slide

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
    

    View Slide

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
    

    View Slide