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
39
math_27
Utree
May 08, 2019
Tweet
Share
More Decks by Utree
See All by Utree
command_line_3
utree
0
33
command_line_1
utree
0
27
command_line_2
utree
0
33
ml_1
utree
0
28
ml_2
utree
0
43
math_41
utree
0
29
math_45
utree
0
26
KHCoder
utree
0
70
hannari_python_lt
utree
1
240
Other Decks in Education
See All in Education
サンキッズゾーン 春日井駅前 ご案内
sanyohomes
0
400
プレゼンテーション実践
takenawa
0
6.6k
20250611_なんでもCopilot1年続いたぞ~
ponponmikankan
0
100
Sponsor the Conference | VizChitra 2025
vizchitra
0
550
View Manipulation and Reduction - Lecture 9 - Information Visualisation (4019538FNR)
signer
PRO
1
2.1k
検索/ディスプレイ/SNS
takenawa
0
6.7k
子どものためのプログラミング道場『CoderDojo』〜法人提携例〜 / Partnership with CoderDojo Japan
coderdojojapan
4
16k
OpenRobomaster 中国のロボットコンテスト 日本連携の可能性
takasumasakazu
0
450
Education-JAWS #3 ~教育現場に、AWSのチカラを~
masakiokuda
0
170
予習動画
takenawa
0
7.2k
新卒研修に仕掛ける 学びのサイクル / Implementing Learning Cycles in New Graduate Training
takashi_toyosaki
1
160
生成AI
takenawa
0
6.6k
Featured
See All Featured
We Have a Design System, Now What?
morganepeng
53
7.7k
Documentation Writing (for coders)
carmenintech
72
4.9k
Designing Dashboards & Data Visualisations in Web Apps
destraynor
231
53k
The Cult of Friendly URLs
andyhume
79
6.5k
The Language of Interfaces
destraynor
158
25k
Imperfection Machines: The Place of Print at Facebook
scottboms
267
13k
Unsuck your backbone
ammeep
671
58k
Agile that works and the tools we love
rasmusluckow
329
21k
ピンチをチャンスに:未来をつくるプロダクトロードマップ #pmconf2020
aki_iinuma
126
53k
Code Reviewing Like a Champion
maltzj
524
40k
The Straight Up "How To Draw Better" Workshop
denniskardys
234
140k
The Pragmatic Product Professional
lauravandoore
35
6.7k
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