関数の話

Supershipの社内勉強会で使ったやつ

Transcript

1. ؔ਺ͷ࿩ !ZVSPZPSP
2. ؔ਺ͱ͸
3. Z
   
   G Y ೖྗ
   Y
   ʹରͯ͠ɺग़ྗ
   Z
   ͷ஋Λܾఆ͢Δنଇ
4.     " # $ % *OU 4USJOH ࣸ૾
   ͭͷू߹ͷରԠؔ܎
5. JOU
   
   TUS JOH ू߹ܕͱߟ͑ΔͱɺܕͱܕͷରԠنଇ
6. ؔ਺͕
   ϑΝʔετΫϥε
7. MFU
   G
   
   aY
   
   TIPX Y ม਺ʹʮؔ਺ʯΛ୅ೖ ଋറ Ͱ͖Δ )BTLFMM
8. G
   
    Y
   \
   YUP@T
   ^ ม਺ʹʮؔ਺ʯΛ୅ೖ ଋറ Ͱ͖Δ 3VCZ
9. DPOTU
   G
   
   Y
   
   
   
   
   \
   SFUVSO
   YUP4USJOH
   ^ ม਺ʹʮؔ਺ʯΛ୅ೖ ଋറ Ͱ͖Δ +BWB4DSJQU
10. ؔ਺ద༻
11. ධՁ
    ʮؔ਺ʯʹҾ਺Λ༩͑ͯ݁ՌΛಘΔ͜ͱ SFUVSO
    YUP4USJOH G
    
    JOU
    
    TUSJOH SFUVSO  ʠʡ Ҿ਺
    Y
12. G
    H
    I
    
    2
    Ͳͷؔ਺͔ΒʮධՁʯ͢Δ
13. G
    H
    I
    
    ਖ਼֨ධՁ
    ಺ଆ͔Βɻී௨ͷݴޠ $+43VCZ+BWBʜ 
    
    
    
14. G
    H
    I
    
    ඇਖ਼֨ධՁ
    ֎ଆ͔Βɻ
    ஗ԆධՁ )BTLFMM*0ʜ 
    
    
    
15. ߴ֊ؔ਺
16. MFU
    H
    
    *OU
    
    4USJOH
    
    TUSJOH
    H
    B
    
    ʠIFMMP
    ʠ
    
    B
     ʮؔ਺ʯΛड͚औΔؔ਺ )BTLFMM
17. H
    
     GO
    \ʠIFMMP
    ʠ
    
    GO 
    ^ ʮؔ਺ʯΛड͚औΔؔ਺ 3VCZ
18. DPOTU
    H
    
    GO
    
    
    
    
    \
    SFUVSO
    ʠIFMMP
    ʠ
    
    GO 
    ^ ʮؔ਺ʯΛड͚औΔؔ਺ +BWB4DSJQU
19. ʮؔ਺HʯͷҾ਺GOʹʮؔ਺GʯΛ༩͑Δ SFUVSO
    YUP4USJOH SFUVSO
    ʠIFMMP
    ʠ
    
    GO  G
    
    JOU
    
    TUSJOH H
    
    JOU
    
    TUSJOH
    
    TUSJOH lIFMMP
    z SFUVSO Ҿ਺
    GO
20. ड͚औͬͨʮؔ਺ʯGOΛ࢖ͬͯTUSJOHΛฦ͢ H
    
    JOU
    
    TUSJOH
    
    TUSJOH SFUVSO
    ʠIFMMP
    ʠ
    SFUVSO
    YUP4USJOH GO
    
    JOU
    
    TUSJOH  lIFMMP
    z SFUVSO Ҿ਺
    Y SFUVSO
    YUP4USJOH GO
    
    JOU
    
    TUSJOH
21. Ϋϩʔδϟ
22. MFU
    B
    
    
    MFU
    I
    
    aY
    
    Y
    
    B पғͷʮ؀ڥʯΛऔΓࠐΜͩʮؔ਺ʯ )BTLFMM
23. B
    
    
    I
    
     Y \
    Y
    
    B
    ^ पғͷʮ؀ڥʯΛऔΓࠐΜͩʮؔ਺ʯ 3VCZ
24. DPOTU
    B
    
    
    DPOTU
    I
    
    Y
    
    \
    SFUVSO
    Y
    
    B
    ^ पғͷʮ؀ڥʯΛऔΓࠐΜͩʮؔ਺ʯ +BWB4DSJQU
25. ʮؔ਺Iʯ͸ʮBʯͱ͍͏؀ڥΛ͍֮͑ͯΔ SFUVSO
    Y
    
    I
    
    JOU
    
    JOU B
    
     B
    
     ؀ڥΛऔΓࠐΉ
26. ʮؔ਺ʯ͕ʮঢ়ଶʯΛ͍࣋ͬͯΔͱ΋ݴ͑Δ SFUVSO
    Y
    
    I
    
    JOU
    
    JOU B
    
     SFUVSO  
27. Ϋϩʔδϟͱ
    ߴ֊ؔ਺
28. MFU
    J
    
    *OU
    
    *OU
    
    4USJOH
    J
    Y
    
    aZ
    
    
    TIPX
    Y
    
    Z Ҿ਺ΛऔΓࠐΜͩʮΫϩʔδϟʯΛ࡞ͬͯฦ͢ʮؔ਺ʯ )BTLFMM Ϋϩʔδϟ
    
29. J
    
     Y \
    
    
    
     Z \
    Y
    
    Z UP@T
    ^
    
    ^ Ҿ਺ΛऔΓࠐΜͩʮΫϩʔδϟʯΛ࡞ͬͯฦ͢ʮؔ਺ʯ 3VCZ Ϋϩʔδϟ
    
30. DPOTU
    J
    
    Y
    
    \
    
    
    
    SFUVSO
    Z
    
    \
    
    
    
    
    
    SFUVSO
    Y
    
    Z UP4USJOH
    
    
    
    ^
    
    ^ Ҿ਺ΛऔΓࠐΜͩʮΫϩʔδϟʯΛ࡞ͬͯฦ͢ʮؔ਺ʯ +BWB4DSJQU Ϋϩʔδϟ
    
31. ड͚औͬͨҾ਺ΛऔΓࠐΜͩʮΫϩʔδϟʯΛฦ͢ J
    
    JOU
    
    JOU
    
    TUSJOH SFUVSO JOU
    
    TUSJOH SFUVSO Y
    
     ؀ڥΛऔΓࠐΉ SFUVSO
    
    Z
    UP4USJOH Y
    
      Y
    
     SFUVSO
    
    Z
    UP4USJOH Ҿ਺
    Y JOU
    
    TUSJOH
32. ؔ਺߹੒
33. G
    ɾH Y
    
    G H Y ̎ͭͷؔ਺G HΛॱ൪ʹద༻͢Δ߹੒ؔ਺GɾHΛੜ੒͢Δ͜ͱ
34. MFU
    G
    
    aY
    
    Y
    
    
    MFU
    H
    
    aY
    
    TIPX
    Y
    MFU
    HG
    
    aY
    
    H
    
    G
    Y ؔ਺HG
    ͸Ҿ਺YΛGʹద༻ͨ݁͠ՌΛHʹద༻ͯ͠ฦ͢ )BTLFMM
35. G
    
     Y \
    Y
    
    
    ^
    H
    
     Y
    \
    YUP@T
    ^
    HG
    
     Y
    \
    H G Y
    ^ ؔ਺HG
    ͸Ҿ਺YΛGʹద༻ͨ݁͠ՌΛHʹద༻ͯ͠ฦ͢ 3VCZ
36. DPOTU
    G
    
    Y
    
    \
    SFUVSO
    Y
    
    
    ^
    DPOTU
    H
    
    Y
    
    \
    SFUVSO
    YUP4USJOH
    ^
    DPOTU
    HG
    
    Y
    
    \
    SFUVSO
    H G Y
    ^ ؔ਺HG
    ͸Ҿ਺YΛGʹద༻ͨ݁͠ՌΛHʹద༻ͯ͠ฦ͢ +BWB4DSJQU
37. ߹੒ؔ਺HG
    ͸ؔ਺GͱHΛ΋ͭʮΫϩʔδϟʯ SFUVSO HG
    
    JOU
    
    TUSJOH SFUVSO
    Y
     G
    
    JOU
    
    JOU SFUVSO
    YUP4USJOH H
    JOU
    
    TUSJOH SFUVSO
    Y
     G
    
    JOU
    
    JOU SFUVSO
    YUP4USJOH H
    JOU
    
    TUSJOH
38. ߹੒ؔ਺HG
    ͸ؔ਺GͱHΛ΋ͭʮΫϩʔδϟʯ SFUVSO HG
    
    JOU
    
    TUSJOH SFUVSO
    Y
     G
    
    JOU
    
    JOU SFUVSO
    YUP4USJOH H
    JOU
    
    TUSJOH  SFUVSO ʠʡ
39. ؔ਺߹੒͢Δؔ਺
40. DPNQPTF G H
    
    GɾH ̎ͭͷؔ਺G HΛҾ਺ʹ߹੒ؔ਺HGΛฦ͢ʮؔ਺ʯ
41. 
    
    C
    
    D
    
    B
    
    C
    
    B
    
    D
    
    MFU
    HG
    
    H
    
    G )BTLFMMʹ͸૊ΈࠐΈͰ  ؔ਺͕͋Δ )BTLFMM
42. EFG
    DPNQPTF H G
    
    
     Y
    \
    H G Y
    ^
    FOE 3VCZͰ͸Ҿ਺H G͔ΒMBNCEBΛੜ੒ͯ͠ฦ͢ 3VCZ
43. DMBTT
    1SPD
    
    
    EFG
    DPNQPTF G
    
    
    
    
     Y
    \
    TFMG G Y
    ^
    
    
    FOE
    
    
    BMJBT@NFUIPE
    
    DPNQPTF
    
    FOE 1SPDΫϥεͷΠϯελϯεϝιουʹ͢Δͷ͕ࣗવ 3VCZ
44. G
    
    
    Y
    \
    Y
    
    
    ^
    H
    
    
    Y
    \
    YUP@T
    ^
    HDPNQPTF G  
    H
    
    G   1SPDΫϥεͷΠϯελϯεϝιουʹ͢Δͷ͕ࣗવ 3VCZ
45. DPOTU
    DPNQPTF
    
    H G
    
    \
    
    SFUVSO
    Y
    
    \
    SFUVSO
    H G Y
    ^
    ^ +BWB4DSJQUͰ͸Ҿ਺H G͔ΒGVODUJPOΛੜ੒ͯ͠ฦ͢ +BWB4DSJQU
46. 'VODUJPOQSPUPUZQFDPNQPTF
    
    
    
    
    GVODUJPO G
    \
    
    
    
    
    
    SFUVSO
    Y
    \
    SFUVSO
    UIJT G Y
    ^
    
    
    
    
    ^ 'VODUJPOʹDPNQPTFΛఆٛ͢Δํ͕ࣗવ +BWB4DSJQU
47. ؔ਺
    
    W T
    ΦϒδΣΫτ
48. Φ ϒδΣ Ϋ τ  ؔ ਺  ม ਺ ʹ୅ ೖͰ͖ Δ ม ਺ ʹ୅ ೖͰ͖ Δ
49. Φ ϒδΣ Ϋ τ  ؔ ਺  ؔ ਺ ͷҾ ਺ʹ౉ ͤ Δ ؔ ਺ ͷҾ ਺ʹ౉ ͤ Δ
50. Φ ϒδΣ Ϋ τ  ؔ ਺  ঢ় ଶ Λ࣋ ͭ ϝϯό ʔ ม਺ ঢ় ଶ Λ࣋ ͭ Ϋϩʔ δ ϟ
51. Φ ϒδΣ Ϋ τ  ؔ ਺  ؔ ਺ Ͱੜ ੒ͯ͠
    ໭ Γ ஋ʹ Ͱ͖Δ ؔ ਺ Ͱੜ ੒ͯ͠
    ໭ Γ ஋ʹ Ͱ͖Δ
52. Φ ϒδΣ Ϋ τ  ؔ ਺  ૊ Έ ߹Θ ͤΔ͜ ͱ ͕Ͱ͖ Δ
    EF M FH BU F D PN Q PTJ UJP O ૊ Έ ߹Θ ͤΔ͜ ͱ ͕Ͱ͖ Δ
    ؔ ਺߹੒
53. ؔ਺͜Θ͘ͳ͍ ͜Θ͘ͳ͍
54. ͔͜͜Β͸
    ͕࣌ؒ༨ͬͨΒ
55. ؔ਺߹੒ͷ
    ॱং
56. I H G Y YΛGʹ౉ͨ݁͠ՌΛɺHʹ౉ͯ͠ಘͨ݁ՌΛɺIʹ౉͢
57. I H G Y ӈ͔Βࠨ΁ॲཧ͕ྲྀΕ͍ͯ͘
58. IɾHɾG Y ߹੒ؔ਺IɾHɾG͸ӈ͔Βద༻͞Ε͍ͯ͘
59. G
    
    H Y
    
    H G Y ߹੒ͷॱংΛٯʹͯ͠߹੒͢Δ  Λߟ͑Δ G
    ɾH Y
    
    G H Y
60.  Ͱ߹੒͢Δͱɺॲཧ͕ࠨ͔ΒӈʹྲྀΕΔ I H G Y
    
    G
    
    H
    
    I Y
61. JNQPSU
    $POUSPM$BUFHPSZ
    
    
    $BUFHPSZ
    DBU
    
    DBU
    B
    C
    
    DBU
    C
    D
    
    DBU
    B
    D
    )BTLFMMͰ͸$POUSPM$BUFHPSZʹ  ͕͋Δ )BTLFMM
62. DMBTT
    1SPD
    
    
    EFG
     H
    
    
    
    
     Y
    \
    H TFMG Y
    ^
    
    
    FOE
    FOE 3VCZͰ͸1SPDͷԋࢉࢠ  Λॻ͖׵͑Δ 3VCZ
63. 'VODUJPOQSPUPUZQFBOE5IFO
    
    
    
    
    GVODUJPO G
    \
    
    
    
    
    
    SFUVSO
    Y
    \
    SFUVSO
    G UIJT Y
    ^
    
    
    
    
    ^ 'VODUJPOʹBOE5IFOͳͲ࡞Ε͹Ͳ͏ʹ͔ +BWB4DSJQU
64. ؔ਺߹੒ͷॱংΛม͑Δͱ
    ࠨ͔Βӈ΁ॲཧͷྲྀΕΛ
    දݱ͢Δ͜ͱ͕Ͱ͖Δ ೔ຊਓͳͷͰࠨ͔ΒಡΈ͍ͨ
65. ؔ਺͜Θ͘ͳ͍ ͜Θ͘ͳ͍
66. ؔ਺ద༻͢Δ
    ؔ਺
67. ؔ਺ద༻΋ࠨ͔Βӈʹྲྀ͍ͨ͠ G
    
    H
    
    I Y
68. ] ͸ؔ਺ద༻͢Δʮؔ਺ʯ Y
    ]
    G
    
    G Y
69. Y͕ࠨ͔ΒӈʹG H IΛ௨ͬͯྲྀΕ͍ͯ͘ Y
    ]
    G
    
    H
    
    I
70. ]
    
    B
    
    B
    
    C
    
    C
    B
    ]
    G
    
    G
    B தஔԋࢉࢠ ] ͸ӈลͷؔ਺ʹࠨลͷ஋Λ౉͢ )BTLFMM
71. DMBTT
    0CKFDU
    
    
    EFGʛʼ G
    
    
    
    
    G TFMG
    
    
    FOE
    FOE 3VCZͰ͸શ֯ ʛʼ ͰͲ͏ʹ͔ʜ 3VCZ
72. 0CKFDUQSPUPUZQFSFWBQQMZ
    
    
    
    
    GVODUJPO G \
    SFUVSO
    G UIJT
    ^ 0CKFDUQSPUPUZQFԚછ +BWB4DSJQU
73. ؔ਺ద༻͢Δؔ਺Ͱ
    Ҿ਺͕ࠨ͔Βӈ΁ྲྀΕΔ༷Λ
    දݱ͢Δ͜ͱ͕Ͱ͖Δ ೔ຊਓͳͷͰࠨ͔ΒಡΈ͍ͨ
74. 6OJYͷQJQF΍
    &MJYJSͷ]ͳͲ Ͱ΋͋Μ·Γ͜͏͍͏ॻ͖ํ͠ͳ͍͚Ͳʜ
75. ؔ਺͜Θ͘ͳ͍ ͜Θ͘ͳ͍
76. ؔ਺߹੒ͷ
    จ຺
77. 
    
    EFG
    DPNQPTF G
    
    
    
    
     Y
    \
    TFMG G Y
    ^
    
    
    FOE ؔ਺߹੒ͷ࣮૷Ͱʜ 3VCZ
78. 
    
    EFG
    
    G
    
    
    
    
     Y
    \
    TFMG G Y
    
    
    ^
    
    
    FOE G Y ͷ݁ՌΛഒʹͯ͠ΈΔ 3VCZ
79. G
    
     Y \
    Y
    
    
    ^
    H
    
     Y
    \
    Y
    
    
    ^
    I
    
    
    Y
    \
    YUP@T
    ^
    I
    
    H
    
    G  
    
    ʠʡ ߹੒͞Εͨؔ਺ͷؒͰҾ਺͕ഒʹ 3VCZ
80. ߹੒͞Εͨؔ਺ͷؒͰҾ਺͕ഒʹ Y
     G
    
    JOU
    
    JOU Y
    
     H
    JOU
    
    JOU YUP@T I
    JOU
    
    TUSJOH  
    
     
    
     ʠʡ
81. 
    
    EFG
    
    G
    
    
    
    
     Y
    \
    
    
    
    
    
    
    
    SFT
    
    G Y
    
    
    
    
    
    
    SFTOJM
    
    OJM
    
    TFMG SFT
    
    
    
    
    ^
    
    
    FOE G Y ͕OJMͳΒ͹ɺ߹੒͞Εͨؔ਺Λݺ͹ͣʹऴྃ͢Δ 3VCZ
82. G
    
     Y \
    <OJM Y
    
    >TBNQMF
    ^
    H
    
     Y
    \
    <OJM Y
    
    >TBNQMF
    ^
    I
    
    
    Y
    \
    YUP@T
    ^
    I
    
    H
    
    G  
    
    OJM
    PSʠʡ G HͷͲͪΒ͔͕OJMΛฦ͢ͱશମͷ݁Ռ͕OJMʹͳΔ 3VCZ
83. ߹੒͞Εͨؔ਺ͷؒͰOJMνΣοΫ <OJM Y
    
    >TBNQMF G
    
    JOU
    
    JOU <OJM Y
    >TBNQMF H
    JOU
    
    JOU YUP@T I
    JOU
    
    TUSJOH  OJM OJM ʠʡ ऴྃ ऴྃ
84. ʮ݁Ռ͕ഒʹͳΔʯจ຺
    ʮOJMͩͱதࢭ͢Δʯจ຺ ؔ਺߹੒ʹ༷ʑͳʮจ຺ʯΛ༩͑Δ͜ͱ͕Ͱ͖Δ
85. ʮঢ়ଶ͕มԽ͢Δʯจ຺
    ʮೖग़ྗ͕ൃੜ͢Δʯจ຺
    ʮඇಉظͰܭࢉ͢Δʯจ຺ ଞʹ΋͍Ζ͍Ζͳʮจ຺ʯ͕͋Δ
86. ؔ਺߹੒Λந৅Խ͢Δͱ
    ੜ੒͞ΕΔؔ਺ʹ༷ʑͳ
    ੑ࣭Λ༩͑Δ͜ͱ͕Ͱ͖Δ ΋͔ͯ͠͠Ϟφʜʜ ҧ͍·͢
87. ؔ਺͜Θ͘ͳ͍ ͜Θ͘ͳ͍
88. ྫ ؔ਺߹੒Ͱ
    'J[[#V[[
89. DMBTT
    1SPD
    
    
    EFG
    PS
    G
    
    
    
    
     Y
    \
    
    
    
    
    
    
    
    SFT
    
    TFMG Y
    
    
    
    
    
    
    SFTOJM
    
    G Y
    
    SFT
    
    
    
    
    ^
    
    
    FOE
    FOE ࣗ਎ʹYΛద༻ͨ݁͠Ռ͕OJMͳΒ͹ɺ߹੒͞Εͨؔ਺ΛݺͿ 3VCZ
90. GJ[[
    
     Y \
    Y
    
    
    
    
    
    GJ[[
    
    OJM
    ^
    CV[[
    
     Y \
    Y
    
    
    
    
    
    CV[[
    
    OJM
    ^
    GJ[[CV[[
    
    
    Y
    \
    Y
    
    
    
    
    
    Y
    
    
    
    
    
    GJ[[CV[[
    
    OJM
    ^
    JE
    
     Y
    \
    YUP@T
    ^ GJ[[ CV[[ GJ[[CV[[ͱ਺ࣈΛग़ྗ͢Δؔ਺Λ༻ҙ 3VCZ
91. NBQ
    
    
     GJ[[CV[[PS
    GJ[[PS
    CV[[PS
    JE
    ֤ؔ਺ΛPSͰ߹੒ͯ͠NBQ͢Ε͹GJ[[CV[[Ͱ͖Δ 3VCZ
92. ͦͷଞͷ
    τϐοΫ
93. wŋࢀরಁա
    wŋΧϦʔԽ
    wŋ෦෼ద༻
    wŋ࠶ؼ
    wŋ৞ΈࠐΈؔ਺
    wŋ୅਺σʔλߏ଄ ϞϊΠυͱ͔
    ͜ͷ͋ͨΓͷ࿩΋ػձ͕͋ͬͨΒ
94. ؔ਺͜Θ͘ͳ͍ ͜Θ͘ͳ͍