Upgrade to Pro
— share decks privately, control downloads, hide ads and more …
Speaker Deck
Features
Speaker Deck
PRO
Sign in
Sign up for free
Search
Search
math_27
Search
Utree
May 08, 2019
Education
0
30
math_27
Utree
May 08, 2019
Tweet
Share
More Decks by Utree
See All by Utree
command_line_3
utree
0
29
command_line_1
utree
0
20
command_line_2
utree
0
29
ml_1
utree
0
24
ml_2
utree
0
34
math_41
utree
0
25
math_45
utree
0
20
KHCoder
utree
0
63
hannari_python_lt
utree
1
230
Other Decks in Education
See All in Education
2024年度春学期 統計学 第1回 イントロダクションー統計的なものの見方・考え方について (2024. 4. 11)
akiraasano
PRO
1
110
Monaca Educationを活用したプログラミング授業実践
asial_edu
0
210
Digijulkaisut
matleenalaakso
1
8.6k
AWS試験全冠したら新しい道が開けた話
nagisa53
3
1.1k
Switches
irocho
0
190
@ngrx/signals
yannickbaron
0
190
アプリ開発を目指した授業づくりについて
asial_corp
0
430
Before You Create Something
nandenjin
0
120
Introduction - Lecture 1 - Advanced Topics in Big Data (4023256FNR)
signer
PRO
1
1.2k
Tips for the Presentation - Lecture 2 - Advanced Topics in Big Data (4023256FNR)
signer
PRO
0
130
「ロータリーって何?」と訊かれたら:国際ロータリー 2720地区 2023-2024年度 公共イメージ部門 副委員長・ 熊本南ロータリークラブ・ 株式会社ヒデコーポレーション 代表 大津 英敬 氏
2720japanoke
0
570
HyRead2324
cbtlibrary
0
130
Featured
See All Featured
Agile that works and the tools we love
rasmusluckow
325
20k
Statistics for Hackers
jakevdp
790
220k
A designer walks into a library…
pauljervisheath
201
23k
Practical Orchestrator
shlominoach
183
9.7k
It's Worth the Effort
3n
180
27k
Atom: Resistance is Futile
akmur
260
25k
Visualizing Your Data: Incorporating Mongo into Loggly Infrastructure
mongodb
34
8.9k
Faster Mobile Websites
deanohume
300
30k
Why You Should Never Use an ORM
jnunemaker
PRO
51
8.7k
Mobile First: as difficult as doing things right
swwweet
217
8.6k
Building an army of robots
kneath
300
41k
[RailsConf 2023 Opening Keynote] The Magic of Rails
eileencodes
14
8.4k
Transcript
27 ϕΫτϧͷੵͱΣͷؔ ౷ܭֶ͕࠷ڧͷֶͰ͋Δɹֶฤ
લճͷτϐοΫ ϕΫτϧΛ͏͜ͱͰߴີʹσʔλΛද͢͜ͱ͕Ͱ͖Δ
ࠓճͷτϐοΫ • ϕΫτϧͷੵ(υοτੵ) • ੵܭࢉͷϧʔϧ • ੵΛγάϚͰද͢
ϕΫτϧͷੵ a ⋅ b = ∥a∥∥b∥ cos θ a =
(a1 a2 ⋯ an ) b = (b1 b2 ⋯ bn ) BͱCͷͳ֯͢Вʹ͓͍ͯ ∥a∥ = a2 1 + a2 2 + ⋯ + a2 n ·ͨɺϕΫτϧͷେ͖͞ΛϕΫτϧͷϊϧϜͱݴ͍ɺ࣍ࣜͰද͢
ੵΛزԿతʹݟΔ (P.274 ਤ4-5) ͓ޓ͍ͷ͖Λἧ͑ͯɺֻ͚ͨͷ
ੵܭࢉͷϧʔϧ |a| |b| cosθͦΕͧΕεΧϥʔͳͷͰɺP.26ͷܭࢉ๏ଇ͕Γཱͭ ⭕ ަ๏ଇ ⭕ ๏ଇ ⚠ ݁߹๏ଇ
ੵ̎ͭͷϕΫτϧͷͳ֯͢ͳͷͰɺpa=cͰͳ͍ͱ❌ ⃗ a ⃗ b = ⃗ b ⃗ a (p ⃗ a ) ⋅ ⃗ b = p( ⃗ a ⋅ ⃗ b ) = ⃗ a ⋅ (p ⃗ b ) ⃗ a ⋅ ( ⃗ b + ⃗ c ) = ⃗ a ⋅ ⃗ b + ⃗ a ⋅ ⃗ c ⃗ a ⋅ ( ⃗ b + ⃗ c ) ≠ ( ⃗ a ⋅ ⃗ b ) ⋅ ⃗ c
ੵΛγάϚͰද͢ a = (a1 a2 ⋯ an ) b =
(b1 b2 ⋯ bn ) BͱCͷͳ֯͢Вʹ͓͍ͯ a ⋅ b = ∥a∥∥b∥ cos θ ɹɹ = n ∑ i=1 ai bi ٯʹɺʮγάϚͷΘΓʹϕΫτϧΛͬͯγϯϓϧͳදه͕Ͱ͖ Δɻʯͱݴ͑Δɻ
·ͱΊ γάϚͷΘΓʹϕΫτϧΛͬͯγϯϓϧͳදه͕Ͱ͖Δɻ
͓·͚ • ֎ੵ(Ϋϩεੵ) ͨͩ͠ɺO࣍ݩϕΫτϧʹରͯ͠ɺ֎ੵͷఆٛͳ͍ a ⋅ b = ∥a∥∥b∥ sin
θ