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
音楽理論と方向統計学の初歩/introduction of circular statisti...
Search
kur0cky
June 26, 2020
Science
5
2.1k
音楽理論と方向統計学の初歩/introduction of circular statistics and musicology
kur0cky
June 26, 2020
Tweet
Share
More Decks by kur0cky
See All by kur0cky
The bootstrapping method for everyone
kur0cky
3
960
NLP introduction in R 1
kur0cky
0
83
tidyverse tutorial 2
kur0cky
1
61
tidyverse tutorial 1
kur0cky
1
73
Other Decks in Science
See All in Science
04_石井クンツ昌子_お茶の水女子大学理事_副学長_D_I社会実現へ向けて.pdf
sip3ristex
0
610
オンプレミス環境にKubernetesを構築する
koukimiura
0
340
AI(人工知能)の過去・現在・未来 —AIは人間を超えるのか—
tagtag
1
120
06_浅井雄一郎_株式会社浅井農園代表取締役社長_紹介資料.pdf
sip3ristex
0
620
機械学習 - SVM
trycycle
PRO
1
880
Accelerated Computing for Climate forecast
inureyes
PRO
0
120
データから見る勝敗の法則 / The principle of victory discovered by science (open lecture in NSSU)
konakalab
1
140
baseballrによるMLBデータの抽出と階層ベイズモデルによる打率の推定 / TokyoR118
dropout009
1
560
Hakonwa-Quaternion
hiranabe
1
130
🌏地球から🌌宇宙まで! 〜ケプラーの法則で繋がる天体の運動〜
syotasasaki593876
1
100
ランサムウェア対策にも考慮したVMware、Hyper-V、Azure、AWS間のリアルタイムレプリケーション「Zerto」を徹底解説
climbteam
0
110
データベース03: 関係データモデル
trycycle
PRO
1
260
Featured
See All Featured
A Modern Web Designer's Workflow
chriscoyier
696
190k
Reflections from 52 weeks, 52 projects
jeffersonlam
352
21k
Stop Working from a Prison Cell
hatefulcrawdad
271
21k
Faster Mobile Websites
deanohume
309
31k
Responsive Adventures: Dirty Tricks From The Dark Corners of Front-End
smashingmag
252
21k
The Art of Programming - Codeland 2020
erikaheidi
56
13k
The Cult of Friendly URLs
andyhume
79
6.6k
Improving Core Web Vitals using Speculation Rules API
sergeychernyshev
18
1.1k
Embracing the Ebb and Flow
colly
87
4.8k
The Pragmatic Product Professional
lauravandoore
36
6.9k
Creating an realtime collaboration tool: Agile Flush - .NET Oxford
marcduiker
31
2.2k
Understanding Cognitive Biases in Performance Measurement
bluesmoon
29
1.9k
Transcript
Իָཧͱํ౷ܭֶͷॳา LVSDLZ
ࣗݾհ w 5XJUUFSɿ!LVSDLZ@Z w "HFɿ w ձࣾɿ໊ཧͷೖࣾϲ݄ w ԋɿόΠΦϦϯɼυϥϜ w
͖ͳԻָɿΫϥγοΫɼαΠέτϥϯεɼFUDʜ 2
Իָ
υϨϛϑΝιϥγυ
υϨϛϑΝιϥγυϨϛϑΝιϥγ υϨϛϑΝιϥγυɾɾɾ
ແݶϧʔϓ ʢ॥ʣ
֯ͷσʔλαΠΤϯε
ํ౷ܭֶ
༷ʑͳ॥͢Δσʔλ w ԁप্ɿ֯ w σΟεΫ্ɿ֯ºεΧϥʔ w ٿ໘্ɿ֯º֯ w
γϦϯμʔ্ɿ֯ºεΧϥʔ w τʔϥε্ɿ֯º֯ (0 < r < R) (0 < θ < π) (0 < r) 9 ࠓճԁप্͚ͩΛߟ͑Δ
ํ౷ܭֶ w ֯࣌ؒͳͲɼ॥͢Δʹରͯ֬͠Λߟ͍͑ͨ w هड़౷ܭɼɼݕఆɼϞσϦϯάɼFUD w LVSDLZ͕ձͰൃ͍͢͠Իʁ w ͋Δͷ෩ͷ࣌ܥྻߏͲ͏ͳͬͯΔʁ w
Ԡ༻ w ಈͷӡಈํɼ෩ਫྲྀɼ࣌ؒɼࢠͷೋ໘֯ɼFUD 10
ԁप্ͷهड़౷ܭ
ฏۉํͲͬͪʁ
ฏۉํ ϕΫτϧͷฏۉͰߟ͑Δ ( 1 4 π + 7 4
π)/2 = π 13 º ΦΠϥʔͷެࣜΑΓɼReiθ = 1 N ∑ j eiθj (Rcos¯ θ, Rsin¯ θ) = 1 N ∑ j cosθj , 1 N ∑ j sinθj
ԁप্ͷࢄ 14 ࢄେ ࢄখ
ԁप্ͷࢄ 15 ฏۉϕΫτϧͷ͞ʹண͢Εྑ͍ ࢄɿV = 1 − R ඪ४ภࠩɿsd =
−2 log(R) ඪ४ภࠩͪΐͬͱಛघ ࢄେ ࢄখ
ԁप্ͷ֬
ͷ࡞Γํ w ר͖ࠐΈ๏ɿ֬ີؔΛԁप্ʹר͖ࠐΉ w XSBQQFE$BVDIZ͕༗໊ w ࣹӨ๏ɹɹɿมྔ֬ϕΫτϧΛݪ͔ΒͷڑͰׂΔ w ͖݅๏ɿมྔཱ֬ϕΫτϧΛۃ࠲ඪม͠ɼ֯ΛಘΔ w
ਖ਼نˠWPONJTFT w Ө๏ɹɹɿ ͱͯ֯͠ΛಘΔɽ x = tan(θ/2) 17
WPONJTFT w ผ໊ʮԁप্ͷਖ਼نʯ w ର͔ͭ୯ๆ w ࢦܕ w ݫີʹͷ࠶ੜੑ͕ෆཱ w
w ɿਖ਼نԽఆ w ɿฏۉํύϥϝʔλ w ɿूதύϥϝʔλ f(θ; μ, κ) = Ceκ cos(θ−μ) C μ κ 18
ޒݍ
ޒݍ DJSDMFPGUI w ԻఔͰͳ͘ɼௐ LFZ ͷྠ w ֎ଆ͕ϝδϟʔɼଆ͕ϚΠφʔ w ྡΓ߹͏ௐه߸
̅ ̆ ͕ͭҟͳΔ w Ұप͢Δͱ·ͨͬͯ͘Δ 20
ޒݍͷར༻ w εϦʔίʔυ͕Θ͔Γ͍͢ w جຊͷίʔυ͔Β྆αΠυΛݟΕྑ͍ w ࠨճΓ͍ͯ͘͠ͱࣗવͳίʔυʹͳͬͯΔ w πʔϑΝΠϒϫϯ͕؆୯ʹͰ͖Δ w
KB[[ͳͲͰڧ͍ 21
DBTFTUVEZ ࡞ۂՈ͝ͱͷ࡞ۂ
σʔλ֓ཁ 23 w ༗໊࡞ۂՈͷۂใϦετ w ࡞൪߸ɼλΠτϧɼௐɼ࡞ۂɼδϟϯϧɼฤ w ιʔεɿແྉָේͷϥΠϒϥϦʔ*.4-1͔ΒεΫϨΠϐϯά ໘ന͍σʔληοτʹͳΓͦ͏ͳͷͰɼγΣΞͯ͠ੳ͠·ͤΜ͔ʁস https://imslp.org/wiki/Main_Page
༗໊ͳ࡞ۂՈΛൈਮɽ͕$NBKPS
ϝϯσϧεκʔϯϞʔπΝϧτͷӨڹΛଟʹड͚͍ͯΔΒ͍͠ ٕܥϐΞϊ࡞ۂՈࣗ༝͕ߴͦ͏ɽࣅͯΔ
.BSEJB8BUTPO8IFFMFSݕఆ w ԁप্ͷͭͷ͕ҟͳΔ͔ͷϊϯύϥϝτϦοΫݕఆ w 6ݕఆͷDJSDVMBS֦ு w ܈ͷσʔλΛִࠞͥͯؒʹฒΔɽؼແԾઆͷͱQΛܭࢉ w ݁Ռ 26
Q ݁Ռ NP[BSUWTNFOEFMTTPIO غ٫ DIPQJOWTMJTU[ غ٫Ͱ͖ͳ͍
·ͱΊ w Իָͱ૬ੑ͕ྑ͍ͱࢥΘΕΔํ౷ܭֶʹ͍ͭͯɼͦͷॳาͷ ॳาΛհͨ͠ w ௐ߸ͷଆ໘͔Βɼ࡞ۂΛੳͨ͠ɽಛʹɼϦετͱγϣύ ϯͷޒݍͷҟͳΔͱݴ͑ͳ͔ͬͨɽ 27
͓͢͢Ίจݙ w +BNNBMBNBEBLB 43 4FOHVQUB " 5PQJDTJODJSDVMBS TUBUJTUJDT 7PM
XPSMETDJFOUJpD w όΠϒϧతͳɼํ౷ܭͷ༗໊ςΩετ w ਗ਼ਫ ʰ֯σʔλͷϞσϦϯά *4.γϦʔζਐԽ͢Δ౷ܭཧ ʱ ۙ Պֶࣾ w ํ౷ܭͰ͍͠ॻ w 7BMEF[ %/ 45"5*45*$4*/.64*$0-0(: w Իָº౷ܭͷຊ 28