Mishima.syk#17

1. େ‫ن‬໛ςϯιϧσʔλʹద༻Մೳͳ
FJOTVNͷ։ൃ
࿐࡚߂‫ؽ‬1I% ༀՊֶ
ཧԽֶ‫ॴڀݚ‬ੜ໋‫ػ‬ೳՊֶ‫ڀݚ‬ηϯλʔ
όΠΦΠϯϑΥϚςΟΫε‫ڀݚ‬։ൃνʔϜ‫ૅج‬Պֶಛผ‫ڀݚ‬һ

2. .ZDBSFFSBTBTPGUXBSFEFWFMPQFS
ɾ
ɾQSFTFOU
.F4)FOSJDINFOUBOBMZTJT
GPSOPONPEFMPSHBOJTNT
.FUBBOBMZTJTPG3/4FR
5FOTPSBOBMZTJTGPS3VTFST
4JOHMFDFMM3/4FREBUBBOBMZTJT
JOQSPHSFTT
JOQSPHSFTT
JOQSPHSFTT

3. .ZDBSFFSBTBTPGUXBSFEFWFMPQFS
ɾ
ɾQSFTFOU
.F4)FOSJDINFOUBOBMZTJT
GPSOPONPEFMPSHBOJTNT
.FUBBOBMZTJTPG3/4FR
5FOTPSBOBMZTJTGPS3VTFST
4JOHMFDFMM3/4FREBUBBOBMZTJT
JOQSPHSFTT
JOQSPHSFTT
JOQSPHSFTT
ࠓ೔ͷ࿩͠͸͜ͷ
ύοέʔδʹؔ܎

4. ໨࣍
ɾFJOTVNͷղઆ
ɾ0VUPGDPSFͳFJOTVNͷ։ൃ

5. FJOTVNͷղઆ

6. ΞΠϯγϡλΠϯͷॖ໿‫ه‬๏
ߦྻʢ*º+ʣͱߦྻ#ʢ+º,ʣͷߦྻੵΛߟ͑Δ
C = AB
ߦྻද‫ه‬
ཁૉද‫ه‬ Cik =
J
∑
j=1
AijBjk
C
Πϝʔδਤ A B
I
J
J
K
I
K
C =
J
∑
j=1
aj ∘ bj
ϕΫτϧද‫ه‬

7. ΞΠϯγϡλΠϯͷॖ໿‫ه‬๏
Cik =
J
∑
j=1
AijBjk
Albert Einstein
(1879 - 1955)
ɾɾɾ

8. ΞΠϯγϡλΠϯͷॖ໿‫ه‬๏
Albert Einstein
(1879 - 1955)
‫ͮݟ‬Β͍͠ɺॻ͖ͮΒ͍͠
࿨‫͍߸ه‬Βͳ͘Ͷʁ
Cik =
J
∑
j=1
AijBjk

9. Cik =
J
∑
j=1
AijBjk
ΞΠϯγϡλΠϯͷॖ໿‫ه‬๏
Albert Einstein
(1879 - 1955)
+ͳΜͯผʹௐ΂Ε͹Θ͔Δ͠
$ʹ͸K͕ແ͍Μ͔ͩΒKͰ࿨Λऔͬͨ
ͷ͸Θ͔ΔΑͶʁ

10. ΞΠϯγϡλΠϯͷॖ໿‫ه‬๏
Albert Einstein
(1879 - 1955)
ʙ̇
Cik = AijBjk

11. FJOTVNͱ͸
ߦྻੵΛ͋͑ͯGPSจͰφΠʔϒʹॻ͍ͯΈΔ
Ͳͷ‫Ͱޠݴ‬΋࣮૷Ͱ͖Δ͕ɺ‫ͮݟ‬Β͘ɺόά͕‫͖ى‬΍͘͢ɺ
͔ͭGPSจ͸஗͍ʢಛʹ1ZUIPO΍3ʣͷͰɺྑ͍ॻ͖ํͰ͸ແ͍

12. FJOTVNͱ͸
/VNQZͰ͸EPUؔ਺Ͱߦྻੵ͕࣮ߦͰ͖Δ
ʢ3ͳΒʣ
ଟ͘ͷ৔߹ɺ‫ޠݴ‬ଆ͕༻ҙ͍ͯ͠Δؔ਺Λ࢖ͬͨํ͕ૣ҆͘શʹॻ͚Δ
ͨͩ͠ɺ΋ͬͱෳࡶͳԋࢉʹ‫ޠݴ‬ଆ͕͍ͭ΋ରԠ͍ͯ͠Δͱ͸‫ݶ‬Βͳ͍
ʢಛʹΦʔμʔ͕େ͖͍ςϯιϧ΍ɺѻ͏ςϯιϧ͕૿͑Δ࣌ʣ
ˠFJOTVN͸͜ͷΑ͏ͳ໰୊ΛղܾͰ͖Δ‫ͳྗڧ‬/VNQZͷؔ਺

13. FJOTVNͱ͸
GPSจ࠶๚

14. FJOTVNͱ͸
GPSจ࠶๚
഑ྻͷαΠζ͸͍Βͳ͍
ʢ͍ͭͰ΋औಘͰ͖Δʣ

15. FJOTVNͱ͸
GPSจ࠶๚
GPSจ΋͍Βͳ͍
ʢ‫ͮݟ‬Β͍ʣ

16. FJOTVNͱ͸
GPSจ࠶๚
࿨‫߸ه‬΋͍Βͳ͍
ʢͷӈʹ͋ͬͯɺࠨʹͳ͍΋ͷ͸଍͞ΕΔʣ
഑ྻͷॳ‫ظ‬Խ΋͍Βͳ͍
ʢؔ਺͔Β௚઀ड͚औΕ͹ྑ͍ʣ
ੵ‫߸ه‬΋͍Βͳ͍
ʢ
#͸ඞ͔͚ͣΔͱ͢Δʣ

17. FJOTVNͱ͸
݁‫ہ‬େࣄͳͷ͸ఴࣈͰɺఴࣈ͚ͩॻ͚͹ྑ͍
ʢ·͞ʹΞΠϯγϡλΠϯͷॖ໿‫ه‬๏ʣ
ͭ·Γɺ͜͏ॻ͘
ఴࣈ͚ͩͰԿΛ͍ͨ͠ͷ͔ද‫ݱ‬Մೳ

18. FJOTVNͰͰ͖Δ͜ͱ
JOTVN͸ͭͷϧʔϧͰߏ੒͞ΕΔ
IUUQTBKDSOFU#BTJDHVJEFUPFJOTVN
ͷࠨ͔ΒӈͰແ͘ͳΔ
ఴࣈʹؔͯ͠࿨ΛͱΒΕΔ
ʢ࿨ϧʔϧʣ
Ͱ۠੾ΒΕͨ஋
ಉ࢜͸͔͚ΒΕΔ
ʢੵϧʔϧʣ
ͷӈଆʹ͋Δఴࣈͷ
ฒͼॱͷ௨Γʹग़ྗ͢Δ
ʢฒͼସ͑ϧʔϧʣ
͜ΕΒͷϧʔϧͷ૊Έ߹ΘͤͰ
ද‫͖Ͱݱ‬Δԋࢉ͸શͯFJOTVNͰॻ͚Δ

19. FJOTVNͰͰ͖Δ͜ͱ
FJOTVNͰॻ͚Δԋࢉ͸͔ͳΓଟ͍
ର֯ཁૉऔΓग़͠
సஔ
τϨʔε
࿨
಺ੵ
ϑϩϕχ΢εϊϧϜ
֎ੵ
ॖ໿ੵ
ߦྻੵ
ΞμϚʔυੵ
ৄ͘͠͸%FMBZFE5FOTPSͷυΩϡϝϯτΛࢀর
IUUQTIUNMQSFWJFXHJUIVCJP IUUQTHJUIVCDPN
SJLFOCJU%FMBZFE5FOTPSCMPCNBTUFSWJHOFUUFT
%FMBZFE5FOTPS@IUNM

20. FJOTVNͰͰ͖Δ͜ͱ
FJOTVN

21. ଞͷؔ਺ͷ૊Έ߹Θ࣮ͤͯ૷Ͱ͖Δԋࢉ
⊗
i
j
k n
m
l
i×l
j×m
k×n
A B C
ΫϩωοΧʔੵ
֎ੵΛ‫ޙͨ͠ࢉܭ‬
݁ՌΛ੔‫͢ܗ‬Δ͚ͩ

22. ‫ط‬ଘͷFJOTVN࣮૷
1ZUIPO5FOTPS'MPX
1ZUPSDI
$IBJOFS
3DBMDVMVT
FJOTVN
%FMBZFE5FOTPSʢ‫ޙ‬ड़ʣ
+VMJBJOTVNKM
*5FOTPSTKM
/VNQZͷFJOTVNʹΠϯεύΠΞ͞Εͯ
1ZUIPOҎ֎ͷ‫Ͱޠݴ‬΋FJOTVNతͳ
πʔϧ͕։ൃ͞Ε͍ͯΔ

23. 0VUPGDPSFͳ
FJOTVNͷ։ൃ

24. ‫ط‬ଘͷFJOTVN࣮૷ͷ՝୊
‫ط‬ଘͷFJOTVN࣮૷͸ɺશͯΦϯϝϞϦ࣮૷
σʔλ͸શͯϝϞϦ্ʹ͋Δલఏ
σʔλ͕ϝϞϦʹࡌΓ͖Βͳ͍΄Ͳେ͖͍৔߹͸࢖͑ͳ͍
ࡢࠓͷςϯιϧͷχʔζͷ૿Ճ΍ɺ
σʔλͷେ‫ن‬໛ԽΛߟ͑Δͱ0VUPGDPSFͳ
FJOTVN͕‫ٻ‬ΊΒΕΔ

25. 0VUPGDPSFͱ͸
)%% 3. $16
*ONFNPSZ
0VUPGDPSF
Ͱ͔͍ͱϝϞϦʹ
ࡌΓ͖Βͳ͍
ஞ࣍తʹσʔλͷҰ෦Λ
ಡΈࠐΜͰ‫ʹࢉܭ‬ར༻
‫͍ͳ͖Ͱࢉܭ‬
ͦͷ஋͕ඞཁʹͳͬͨ࣌ʹॳΊͯ-B[ZʹࣜΛධՁ͢Δ
ͦΕ·Ͱ͸ɺσʔλ͸ϋʔυσΟεΫ্ʹஔ͍ͨ··
‫ࢉܭ‬ͷखॱΛ%(ͱ͓͚֮ͯ͑ͯͩ͘͠
ྫ
1ZUIPO%BTL
7BFY
;BSS
3%FMBZFESSBZ
CJHNFNPSZ
CJHTUBUTS
ff
3FWP4DBMF3
00$ʹରԠͨؔ͠਺
Λ࢖͑͹‫͖Ͱࢉܭ‬Δ
ϝϞϦ্ʹ഑ஔ͞Εͨ෦෼

26. IUUQTXXXSJLFOKQQSFTT@JOEFYIUNM
࣮͸ࣗ෼ͷಘҙ෼໺ͩͬͨΓ΋͢Δ
0VUPGDPSFͱ͸

27. FJOTVNʢ$3/ʣ
ʹ$3/ͰϦϦʔε͞Εͨ͹͔Γͷύοέʔδ
*NQMJDJU.PEFʢແ͠ͷॻ͖ํʣ͕ແ͍͕
ͦΕҎ֎ͷ࢖͍ํ͸/VNQZͱશ͘ಉ͡
‫ࢉܭ‬෦෼͸$

29. Ͱॻ͔Ε͍ͯΔͨΊߴ଎
͜ΕΛ࣮૷ͷϕʔεʹ͢Δ

30. %FMBZFESSBZʢ#JPDPOEVDUPSʣ
#MPDL1SPDFTTJOH
σʔλ഑ྻΛϒϩοΫঢ়ʹ۠੾ΓɺϒϩοΫ͝ͱʹԋࢉΛ࣮ߦ͢Δ
IUUQTCJPDPOEVDUPSPSHQBDLBHFTSFMFBTFCJPDWJHOFUUFT%FMBZFESSBZJOTUEPD
%FMBZFESSBZ@)%'SSBZ@VQEBUFQEG
࠷ऴతͳग़ྗͷαΠζ
ϒϩοΫ͝ͱͷԿΒ͔ͷॲཧ
ϒϩοΫ͝ͱͷॻ͖ࠐΈ
ϒϩοΫ͝ͱʹ‫܁‬Γฦ࣮͠ߦ

31. %FMBZFE5FOTPSFJOTVN
FJOTVNΛ#MPDL1SPDFTTJOHͰ࣮ߦͰ͖ΔΑ͏ʹ֦ுͨ͠
Ϣʔβʔ͕ࢦఆͨ͠ϒϩοΫαΠζΛ௒͑ͳ͍Α͏ʹ
ࣗಈతʹϒϩοΫ͕۠੾ΒΕΔ
⊗
I
K
J
K
L
ྫ֎ੵ
I
K
J
L
ϒϩοΫαΠζ͕ͷ৔߹ɺ*º+º,ʢʣ·Ͱ͸ϝϞϦʹࡌΓ੾Δ͕
-ํ޲͸·Ͱ͔͠ࡌΒͳ͍ͷͰɺ-ํ޲͸෼ׂ͞ΕΔʢ#MPDL4J[F4DIFEVMJOHʣ
I
K
J
I
K
J
ɾɾɾ

32. ద༻ྫ
ཁૉ਺ϨϕϧͰ͸ಈ࡞֬ೝͰ͖ͨʢ෼͘Β͍ʣ
1000
Ҩ఻ࢠ
1977ࡉ๔
⊗
1907ࡉ๔
1000
Ҩ఻ࢠ
1977ࡉ๔
1
9
0
7
ࡉ
๔
ώτ೴ࡉ๔
scRNA-Seq
Ϛ΢ε೴ࡉ๔
scRNA-Seq

33. ·ͱΊ
ɾFJOTVN͸ɺΞΠϯγϡλΠϯͷॖ໿‫ه‬๏Λϕʔεʹͨ͠ศརؔ਺
ɾ࿨ϧʔϧɺੵϧʔϧɺฒͼସ͑ϧʔϧͷ૊Έ߹ΘͤͰ
ද‫͖Ͱݱ‬ΔԋࢉͳΒFJOTVNͰ౷Ұతʹ‫͖Ͱࢉܭ‬Δ
ɾ‫ط‬ଘͷFJOTVN࣮૷͸ɺΦϯϝϞϦϕʔεͰεέʔϥϒϧͰ͸ͳ͍
ɾେ‫ن‬໛σʔλʹରԠ͢ΔͨΊɺ%FMBZFESSBZϕʔεͰ࠶࣮૷ͨ͠
ɾ?ཁૉϨϕϧͷ഑ྻ·Ͱ͸ಈ࡞֬ೝͨ͠