Upgrade to Pro
— share decks privately, control downloads, hide ads and more …
Speaker Deck
Sign up for free
Menu
Search
Features
All features
Private URLs
Password Protection
Custom URLS
Scheduled publishing
Remove Branding
Restrict embedding
Deck Collections
Notes
Features
All features
Private URLs
Password Protection
Custom URLS
Scheduled publishing
Remove Branding
Restrict embedding
Deck Collections
Notes
Explore
Featured decks
Featured speakers
Programming
Technology
Storyboards
Explore
Featured decks
Featured speakers
Programming
Technology
Storyboards
Pricing
Search
Sign in
Sign up for free
音楽理論と方向統計学の初歩/introduction of circular statisti...
Search
kur0cky
June 26, 2020
Science
2.3k
5
Share
Embed
Copy iframe code
Copy JS code
Copy link
Start on current slide
音楽理論と方向統計学の初歩/introduction of circular statistics and musicology
kur0cky
June 26, 2020
More Decks by kur0cky
See All by kur0cky
The bootstrapping method for everyone
kur0cky
3
1k
NLP introduction in R 1
kur0cky
0
110
tidyverse tutorial 2
kur0cky
1
74
tidyverse tutorial 1
kur0cky
1
91
Other Decks in Science
See All in Science
「遂行理論の未来」(松島斉教授最終講義記念セッションの発表資料)
shunyanoda
0
1k
科学で迫る勝敗の法則-スポーツデータ分析の最前線 (刈谷市連携講座.2026年7月) / The principle of victory discovered by science. at Kariya City, 2027.07
konakalab
0
170
[NLP2026 参加報告会] AI for Science まとめ / NLP2026
lychee1223
0
2k
プレイがつなぐ研究と社会:市⺠‧クリエイター‧SF作家による実践を通じて
hayataka88
1
100
生成AIが科学とRAにもたらしていること:メタサイエンスの視点から
rmaruy
0
140
(CVPR2026) Back to Basics: Let Denoising Generative Models Denoise
shumpei777
0
350
データベース04: SQL (1/3) 単純質問 & 集約演算
trycycle
PRO
0
1.7k
YouTubeにおける撤回論文の参照実態 / metascience-meetup2026
corgies
3
360
データベース15: ビッグデータ時代のデータベース
trycycle
PRO
1
580
Conwayの法則を"ちゃんと"使うために — 原典でConwayは何を言っていたのか
bonotake
10
7.2k
O(log n)-Approximation Algorithms for Bipartiteness Ratio
tasusu
0
190
データベース12: 正規化(2/2) - データ従属性に基づく正規化
trycycle
PRO
0
1.7k
Featured
See All Featured
Digital Projects Gone Horribly Wrong (And the UX Pros Who Still Save the Day) - Dean Schuster
uxyall
1
2.9k
Typedesign – Prime Four
hannesfritz
42
3.2k
SEO in 2025: How to Prepare for the Future of Search
ipullrank
3
3.8k
Bioeconomy Workshop: Dr. Julius Ecuru, Opportunities for a Bioeconomy in West Africa
akademiya2063
PRO
1
360
Gemini Prompt Engineering: Practical Techniques for Tangible AI Outcomes
mfonobong
2
530
Technical Leadership for Architectural Decision Making
baasie
3
570
Conquering PDFs: document understanding beyond plain text
inesmontani
PRO
4
3.1k
Save Time (by Creating Custom Rails Generators)
garrettdimon
PRO
32
4.8k
Navigating Team Friction
lara
192
16k
The B2B funnel & how to create a winning content strategy
katarinadahlin
PRO
1
530
How to Get Subject Matter Experts Bought In and Actively Contributing to SEO & PR Initiatives.
livdayseo
0
200
Why Mistakes Are the Best Teachers: Turning Failure into a Pathway for Growth
auna
0
290
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