Tweet
Tweet

Slide 1

Slide 1 text

"53BOL"O"UUFOUJPO#BTFE 6TFS#FIBWJPS.PEFMJOH'SBNFXPSL GPS3FDPNNFOEBUJPO 12 / 3/ 6 2 0 /6 6/ 2 0 2 1 # ( # )9 9

Slide 2

Slide 2 text

࿦จͷ֓ཁ • "UUFOUJPOʹجͮ͘ϢʔβߦಈϞσϦϯάͱͦͷϨίϝϯυ λεΫ΁ͷԠ༻ΛఏҊ • 3//$//ϕʔεͷํ๏ΑΓ΋ֶशͷऩଋ͕ૣ͘ߴੑೳ • ͬ͘͟Γݴ͑͹5SBOTGPSNFSͷϨίϝϯυ΁ͷద༻ """* ஶऀΒ͸๺ژେֶͱ"MJCBCBͷάϧʔϓ

Slide 3

Slide 3 text

ಋೖ

Slide 4

Slide 4 text

*OUSPEVDUJPO • Ϣʔβʔ͸ࣗ਎ͷߦಈʹΑΓදݱՄೳ • ୯ޠ͕ͦͷपғͷίϯςΩετͰදݱͰ͖Δ͜ͱͱಉ༷ • ߦಈܥྻΛΤϯίʔυ͢ΔͨΊʹ3//$//͕සग़ • 3//͸ฒྻԽࠔ೉͔ͭ௕ظͷґଘؔ܎ͷҡ࣋΋ࠔ೉ • $//͸ฒྻԽՄೳ͕ͩہॴతͳґଘؔ܎͔͠ҡ࣋ෆՄ • 3//$//ͱ΋ʹ୹͍ܥྻͱ௕͍ܥྻͷ྆ํ΋্ख͘ѻ͑ͳ͍ • ܥྻͷ௕͞ʹؔ܎ͳ͘ґଘؔ܎Λҡ࣋Ͱ͖Δ"UUFOUJPO͕ొ৔ • ୯ͳΔ"UUFOUJPOͩͱϕΫτϧͷ֤࣍ݩʹ͍ͭͯಉ͡ॏΈͰ৐ࢉ • ֤࣍ݩͷҟͳΔlҙຯzΛ্ख͘ѻ͑ͳ͍ .VMUJ)FBE"UUFOUJPOͷ༧ײ

Slide 5

Slide 5 text

ํ๏

Slide 6

Slide 6 text

4FMG"UUFOUJPO#BTFE#FIBWJPS.PEFMJOH'SBNFXPSL

Slide 7

Slide 7 text

4FMG"UUFOUJPO#BTFE#FIBWJPS.PEFMJOH'SBNFXPSL ঎඼ άϧʔϓ ʢ঎඼*% ళ*% ʣ ݕࡧ άϧʔϓ ʢݕࡧ τʔΫϯʣ Ϋʔϙϯडཧ άϧʔϓ ʢΫʔϙϯ*% ళ*% ʣ Ϩίϝϯυ ର৅ ঎඼*% ళ*%  !" #$

Slide 8

Slide 8 text

4FMG"UUFOUJPO#BTFE#FIBWJPS.PEFMJOH'SBNFXPSL ঎඼ άϧʔϓ ʢ঎඼*% ళ*% ʣ ݕࡧ άϧʔϓ ʢݕࡧ τʔΫϯʣ Ϋʔϙϯडཧ άϧʔϓ ʢΫʔϙϯ*% ళ*% ʣ Ϩίϝϯυ ର৅ ঎඼*% ళ*%  !" #$

Slide 9

Slide 9 text

4FMG"UUFOUJPO#BTFE#FIBWJPS.PEFMJOH'SBNFXPSL ঎඼ άϧʔϓ ʢ঎඼*% ళ*% ʣ ݕࡧ άϧʔϓ ʢݕࡧ τʔΫϯʣ Ϋʔϙϯडཧ άϧʔϓ ʢΫʔϙϯ*% ళ*% ʣ Ϩίϝϯυ ର৅ ঎඼*% ళ*% 

Slide 10

Slide 10 text

4FMG"UUFOUJPO#BTFE#FIBWJPS.PEFMJOH'SBNFXPSL   !"#     ঎඼ άϧʔϓ ʢ঎඼*% ళ*% ʣ ݕࡧ άϧʔϓ ʢݕࡧ τʔΫϯʣ Ϋʔϙϯडཧ άϧʔϓ ʢΫʔϙϯ*% ళ*% ʣ Ϩίϝϯυ ର৅ ঎඼*% ళ*% 

Slide 11

Slide 11 text

4FMG"UUFOUJPO#BTFE#FIBWJPS.PEFMJOH'SBNFXPSL - ঎඼ άϧʔϓ ʢ঎඼*% ళ*% ʣ ݕࡧ άϧʔϓ ʢݕࡧ τʔΫϯʣ Ϋʔϙϯडཧ άϧʔϓ ʢΫʔϙϯ*% ళ*% ʣ Ϩίϝϯυ ର৅ ঎඼*% ళ*% 

Slide 12

Slide 12 text

4FMG"UUFOUJPO#BTFE#FIBWJPS.PEFMJOH'SBNFXPSL ঎඼ άϧʔϓ ʢ঎඼*% ళ*% ʣ ݕࡧ άϧʔϓ ʢݕࡧ τʔΫϯʣ Ϋʔϙϯडཧ άϧʔϓ ʢΫʔϙϯ*% ళ*% ʣ Ϩίϝϯυ ର৅ ঎඼*% ళ*%  -

Slide 13

Slide 13 text

4FMG"UUFOUJPO#BTFE#FIBWJPS.PEFMJOH'SBNFXPSL ঎඼ άϧʔϓ ʢ঎඼*% ళ*% ʣ ݕࡧ άϧʔϓ ʢݕࡧ τʔΫϯʣ Ϋʔϙϯडཧ άϧʔϓ ʢΫʔϙϯ*% ళ*% ʣ Ϩίϝϯυ ର৅ ঎඼*% ళ*%  - DPODBU

Slide 14

Slide 14 text

4FMG"UUFOUJPO#BTFE#FIBWJPS.PEFMJOH'SBNFXPSL ঎඼ άϧʔϓ ʢ঎඼*% ళ*% ʣ ݕࡧ άϧʔϓ ʢݕࡧ τʔΫϯʣ Ϋʔϙϯडཧ άϧʔϓ ʢΫʔϙϯ*% ళ*% ʣ Ϩίϝϯυ ର৅ ঎඼*% ళ*%  - - - - - - -

Slide 15

Slide 15 text

4FMG"UUFOUJPO#BTFE#FIBWJPS.PEFMJOH'SBNFXPSL ঎඼ άϧʔϓ ʢ঎඼*% ళ*% ʣ ݕࡧ άϧʔϓ ʢݕࡧ τʔΫϯʣ Ϋʔϙϯडཧ άϧʔϓ ʢΫʔϙϯ*% ళ*% ʣ Ϩίϝϯυ ର৅ ঎඼*% ళ*%       

Slide 16

Slide 16 text

3BX'FBUVSF4QBDFT • ϢʔβʔͷߦಈΛ{", $, %}ͱͯ͠ఆࣜԽ • Ϣʔβʔ' = { ") , $) , %) |+ = 1,2, … , /} • 'Λߦಈͷੑ࣭ʹΑΓҟͳΔάϧʔϓʹ෼ׂ " $ % ߦಈλΠϓ FH Ӿཡɺߪങɺ ߦಈΦϒδΣΫτ FH \঎඼*% ళ*%^ɺ\ݕࡧτʔΫϯ^ɺ ߦಈൃੜ࣌ͷλΠϜελϯϓ 0 = {123 , 124 , … , 125 } 123 ∩ 124 = 7 ' =∪9:9 5 129 ঎඼ άϧʔϓ ݕࡧ άϧʔϓ Ϋʔϙϯडཧ άϧʔϓ

Slide 17

Slide 17 text

#FIBWJPS&NCFEEJOH4QBDFT • άϧʔϓ!"#ʹ͓͍ͯ $% , '% , (% Λ&NCFEEJOH )#% = +# ($% , '% , (% ) $% '% (% ී௨ʹ&NCFEEJOH ී௨ʹ&NCFEEJOHͯ݁͠߹ʢ \঎඼*% ళ*%^ͳͲෳ਺ଘࡏ͢ΔͷͰʣ ΧςΰϦԽͯ͠&NCFEEJOH ߦಈൃੜ࣌ͷλΠϜελϯϓ͔ΒϨίϝϯυ࣌఺·ͰͷܦաͷϨϯδ͝ͱʹΧςΰϦʹม׵ 0, 1 , 1,2 , 2,4 , … , [24, 2456) 0 1 2 7 + 1

Slide 18

Slide 18 text

#FIBWJPS&NCFEEJOH4QBDFT !"# = %&'" (# + *((+!," - '!.+%/01%" /# + *((+!," 2(4# ) ࿦จͰ͸Ճࢉ͕ͩ ࣮૷Ͱ͸݁߹ ͜ͷϨΠϠʔͷ࠷ऴతͳग़ྗ 6 = {!89: , !89< , … , !89> } !89@ = .(A.4/# (!"# ) ֤άϧʔϓͰ!"#ͷϕΫτϧͷTIBQFҟͳΔ ಉ͡ಛ௃ྔͷ&NCFEEJOH͸ڞ༗ ͨͩ࣌ؒ͠ͷ&NCFEEJOH͸ڞ༗͠ͳ͍

Slide 19

Slide 19 text

-BUFOU4FNBOUJD4QBDFT • ֤ߦಈΛ,ݸͷજࡏతҙຯۭؒʹ౤Ө • ͭ·Γ͸.VMUJ)FBE"UUFOUJPOΛߦ͏ • Ϣʔβʔͷߦಈ!Λάϧʔϓ͝ͱʹҟͳΔ౤Өؔ਺"#$ Λ༻͍ͯ ݻఆ௕ͷϕΫτϧʹม׵ • 4ΛͦΕͧΕͷજࡏతҙຯۭؒʹ౤Ө % = '()'*+ , ("#. /01. , "#3 /013 , … , "#5 (/015 )) %7 = "87 (%) 5SBOTGPSNFSͷ .VMUJ)FBE"UUFOUJPOͷ9:ʹ૬౰

Slide 20

Slide 20 text

-BUFOU4FNBOUJD4QBDFT • !"# ΍!$% ͸࿦จͰ͸୯ҰͷEFOTFMBZFSͰ׆ੑԽؔ਺͕3F-6 • ֤TIBQFΛ੔ཧ &'(( &) *'(( શߦಈ਺ *% άϧʔϓ+ͷߦಈ਺ ݻఆ௕ͷϕΫτϧͷ࣍ݩ਺ ֤જࡏతҙຯۭؒͷ࣍ݩ਺ *% = *'(( -

Slide 21

Slide 21 text

4FMG"UUFOUJPO-BZFS • ,ݸͷ֤જࡏతҙຯۭؒͰߦಈؒͷ4FMG"UUFOUJPO

Slide 22

Slide 22 text

4FMG"UUFOUJPO-BZFS • ࿦จͷهड़Ͱ͸ !" = $%&'()*()(," , ,: /" )) ۭؒ1ʹ͓͚Δ"UUFOUJPOXFJHIUϕΫτϧͷߦྻ ) ," , ,: /" = ," 2" ,3 ۭؒ1ʹ͓͚Δ"UUFOUJPOϕΫτϧͷߦྻ 4" = !" 567 (,) ࠷ऴతͳग़ྗ 4 = 589:; (<%=<)' > (4> , 4? , … , 4" )) Ͱ΋࣮૷্݁ہ΍ͬͯΔ͜ͱ͸ 567 , 589:; TJOHMFEFOTFMBZFS XJUI3F-6

Slide 23

Slide 23 text

%PXOTUSFBN"QQMJDBUJPO/FUXPSL • ͜͜·ͰϢʔβʔߦಈϞσϧ͕׬੒ • ͜ͷ࿦จͰ͸ϨίϝϯυλεΫΛߟ͑Δ ͬͪ͜ଆͷ࿩

Slide 24

Slide 24 text

%PXOTUSFBN"QQMJDBUJPO/FUXPSL • Ϩίϝϯυର৅ͷߦಈͱ4FMG"UUFOUJPOޙͷߦಈؒͰ7BOJMMB "UUFOUJPO • ͭ·ΓϢʔβʔߦಈଆΛΤϯίʔμɺϨίϝϯυର৅ߦಈଆΛ σίʔμͱߟ͑ͨ4PVSDF5BSHFU"UUFOUJPO Τϯίʔμ σίʔμ

Slide 25

Slide 25 text

%PXOTUSFBN"QQMJDBUJPO/FUXPSL • Ϩίϝϯυର৅ߦಈͷ&NCFEEJOHͰ͋Δ!"ʹରͯ͠ɺ͜Ε· Ͱͱ΄΅ಉ͡ԋࢉΛߦ͏ • ݻఆ௕ϕΫτϧ΁ͷม׵ͱ.VMUJ)FBE"UUFOUJPO ℎ" = %&' " (!" ) *+ = %,- (ℎ" ) .+ = */01234 3 *+ , 6; 8+ %9- (6) :; " = %<=>?@@= (./A.31 B (.B , .C , … , .+ )) ߦಈάϧʔϓͷΠϯσοΫε΁ͷஔ׵ %<=>?@@= TJOHMFEFOTFMBZFS XJUI3F-6

Slide 26

Slide 26 text

%PXOTUSFBN"QQMJDBUJPO/FUXPSL • QPJOUXJTFͷ༧ଌϞσϧͰ͸ߦಈ!͕औΒΕΔ֬཰Λ༧ଌ • ଛࣦؔ਺ʹ͸γάϞΠυͷΫϩεΤϯτϩϐʔ − # $,& '$ ()*+(- ℎ$ , /& $ ) + 1 − '$ log(1 − +(- ℎ$ , /& $ )) - ϥϯΩϯάؔ਺ʢ࿦จͰ͸୯७ͳ಺ੵʣ

Slide 27

Slide 27 text

࣮ݧ

Slide 28

Slide 28 text

%BUBTFU • "NB[PO%BUBTFU • Ϣʔβʔͷ঎඼ʹର͢ΔϨϏϡʔσʔλ • ߦಈͷάϧʔϓ͸͚ͭͩʢ঎඼άϧʔϓʣ • ಛ௃ྔ͸Ϣʔβʔ*%ɺ঎඼*%ɺΧςΰϦ*%ɺλΠϜελϯϓ • Ϣʔβͷߦಈ("# , "% , … , "' )͕͋Δͱֶͯ͠शɾςετσʔλ͸ҎԼ ("# ) "% ("# , "% ) ") ("# , "% , … , "'*% ) "'*#  *OQVU QSFEJDU ֶश ςετ ("# , "% , … , "'*# ) "' *OQVU QSFEJDU ˞OFHBUJWFTBNQMF͸ QPTJUJWFTBNQMFҎ֎ͷ঎඼ΛϥϯμϜͰબ୒

Slide 29

Slide 29 text

%BUBTFU • 5BPCBP%BUBTFU • "MJCBCB͕ӡӦ͢Δ&$αΠτͷϩά • ߦಈͷάϧʔϓ͸ͭʢ঎඼ɺݕࡧɺΫʔϙϯडཧʣ • ঎඼άϧʔϓ • ঎඼*%ɺళ*%ɺϒϥϯυ*%ɺΧςΰϦ*%ɺλΠϜελϯϓ • ߦಈλΠϓ͸ӾཡɺϚʔΫɺߪೖ • ݕࡧάϧʔϓ • ݕࡧτʔΫϯɺλΠϜελϯϓ • ߦಈλΠϓ͸ͭ • Ϋʔϙϯडཧάϧʔϓ • Ϋʔϙϯ*%ɺళ*%ɺΫʔϙϯλΠϓɺλΠϜελϯϓ • ߦಈλΠϓ͸ͭ

Slide 30

Slide 30 text

$PNQFUJUPST)ZQFSQBSBNFUFST • $PNQFUJUPST • #13.'#BZFTJBO1FSTPOBMJ[FE3BOLJOH • #J-45. • #J-45. "UUFOUJPO • $// 1PPMJOH • )ZQFSQBSBNFUFST • શͯͷ&NCFEEJOHͷ࣍ݩ਺ • શͯͷӅΕ૚ͷ࣍ݩ਺ • જࡏతҙຯۭؒͷۭؒ਺ʢ.VMUJ)FBEͷIFBE਺ʣ • όοναΠζ • ਖ਼ଇԽ܎਺Fͷ-ϊϧϜ • 0QUJNJ[FS4(%ɺֶश཰Λ͔Β࢝ΊͯͰEFDBZ

Slide 31

Slide 31 text

&WBMVBUJPO.FUSJDT • BWFSBHFVTFS"6$ !"# = 1 "&'() * +∈-./01 1 2+ 3 2+ 4 * 5∈67 8 * 5∈67 9 :(<+,5 > <+,? )

Slide 32

Slide 32 text

3FTVMUTPO4JOHMFUZQF#FIBWJPS%BUBTFU • "NB[PO%BUBTFU "6$͸"53BOL͕࠷ྑ ࣌ؒͷΧςΰϦ͝ͱͷ7BOJMMB"UUFOUJPOXFJHIUͷฏۉ஋ ͕࣌ؒܦա͢ΔʹͭΕXFJHIU͕খ͘͞ 3//$//ͷ୅༻͕ग़དྷ͍ͯΔ "53BOLֶ͕श͕ૣ͘ऩଋ

Slide 33

Slide 33 text

3FTVMUTPO.VMUJUZQF#FIBWJPS%BUBTFU • 5BPCBP%BUBTFU "53BOL͕ྑ͍͕ɺதͰ΋શͯͷߦಈάϧʔϓΛ༻͍ͯ ߦಈϞσϦϯάΛߦͬͨϞσϧ "53BOLBMMPOF ͕࠷ྑ

Slide 34

Slide 34 text

$BTF4UVEZ • 4FMG"UUFOUJPOͱ7BOJMMB"UUFOUJPOͷޮՌΛ֬ೝ ߦಈ Ϩίϝϯυ ର৅

Slide 35

Slide 35 text

$BTF4UVEZ • 4FMG"UUFOUJPOͷޮՌ ಛఆͷྻʢ7BMVFʣ͕ߴ͍XFJHIU ๅੴಉ࢜Ͱਖ਼ํܗΛܗ੒ɺ͓ͦΒ͘ΧςΰϦͷྨࣅੑΛݟ͍ͯΔ

Slide 36

Slide 36 text

$BTF4UVEZ • 7BOJMMB"UUFOUJPOͷޮՌ ؔ܎͋Γͦ͏ͳߦಈͷΈڧௐ શͯͷߦಈͰฏۉత