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JOI2020ss「高次方程式を解く」

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Avatar for ZenReKkyo ZenReKkyo
September 30, 2025
14

 JOI2020ss「高次方程式を解く」

JOIssで発表するスライドです。

Avatar for ZenReKkyo

ZenReKkyo

September 30, 2025

Transcript

  1. ▪

  2. + Δ + ∆ = + ′ ∆ + 1

    2 ′′ ∆2 + ⋯
  3. ▪ + ∆ = + ′ ∆ ▪ ∆ ▪

    ∆ ≅ − ′ + ∆ = +1
  4. ▪ 1 , 2 , … ▪ ≅ 0 −

    ′ 1 − ′ σ != 1 −
  5. ▪ 1 , 2 , … = ς − ▪

    log () = log − ෍ log( − )
  6. ▪ log () = log − σ log − ′

    = ′ − ෍ 1 − − ′ = − ′ 1 − ′ σ != 1 −
  7. ▪ = 0 = − −1 −1 − 1 −

    1 − 2 … ( − )
  8. ▪ + + −1 −1 + ⋯ + 0 ▪

    = − −1 −1 − ⋯ − 0 ▪ = 0 + = 0
  9. ▪ – ( − − − ⋯ − ) –

    → +0 −∞ → ∞ 1 – ▪ – () –