音楽理論と方向統計学の初歩/introduction of circular statistics and musicology

9c42c4bc1d91c409d754da88c91cb2ef?s=47 kur0cky
June 26, 2020

音楽理論と方向統計学の初歩/introduction of circular statistics and musicology

9c42c4bc1d91c409d754da88c91cb2ef?s=128

kur0cky

June 26, 2020
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  1. 3.
  2. 9.

    ༷ʑͳ॥؀͢Δσʔλ w ԁप্ɿ֯౓ w σΟεΫ্ɿ֯౓ºεΧϥʔ  w ٿ໘্ɿ֯౓º֯౓  w

    γϦϯμʔ্ɿ֯౓ºεΧϥʔ  w τʔϥε্ɿ֯౓º֯౓ (0 < r < R) (0 < θ < π) (0 < r) 9 ࠓճ͸ԁप্͚ͩΛߟ͑Δ
  3. 13.

    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
  4. 15.
  5. 18.

    WPONJTFT෼෍ w ผ໊ʮԁप্ͷਖ਼ن෼෍ʯ w ର৅͔ͭ୯ๆ w ࢦ਺ܕ෼෍଒ w ݫີʹ͸࿨ͷ࠶ੜੑ͕ෆ੒ཱ w

     w ɿਖ਼نԽఆ਺ w ɿฏۉํ޲ύϥϝʔλ w ɿूத౓ύϥϝʔλ f(θ; μ, κ) = Ceκ cos(θ−μ) C μ κ 18
  6. 19.
  7. 28.

    ͓͢͢Ίจݙ w +BNNBMBNBEBLB 43 4FOHVQUB "  5PQJDTJODJSDVMBS TUBUJTUJDT 7PM

    XPSMETDJFOUJpD w όΠϒϧతͳɼํ޲౷ܭͷ௒༗໊ςΩετ w ਗ਼ਫ๜෉  ʰ֯౓σʔλͷϞσϦϯά *4.γϦʔζਐԽ͢Δ౷ܭ਺ཧ ʱ ۙ ୅Պֶࣾ w ํ޲౷ܭͰ͸௝͍͠࿨ॻ w 7BMEF[ %/  45"5*45*$4*/.64*$0-0(: w Իָº౷ܭͷຊ 28