右側または上側(偏)導関数∂ 左側または下側(偏)導関数δ

コーシーリーマン四タイプ(計算必要)

右側または上側(偏)微分∂

左側または下側(偏)微分δ

①②③④との対応は⁉️

∂u/∂x=∂v/∂y, ∂u/∂y=-∂v/∂x,

∂u/∂x=-δv/δy, ⁉️ δu/δy=∂v/∂x,

δu/δx=δv/δy, δu/δy=-δv/δx,

δu/δx=-∂v/∂y, ⁉️ ∂u/∂y=δv/δx,

v: vErtical方向に沿っての

rlContinuous≡Continuous

rlAContinuous≡AContinuous

rlHContinuous≡HContinuous

ubContinuous≡vContinuous

ubAContinuous≡vAContinuous

ubHContinuous≡vHContinuous

rlContinuous(=Continuous)⊂rContinuous,

rlContinuous(=Continuous)⊂lContinuous,

ubContinuous(=vContinuous)⊂uContinuous,

ubContinuous(=vContinuous)⊂bContinuous,

rlAContinuous=AContinuous,

ubAContinuous≡vAContinuous,

rlHContinuous(=HContinuous)⊂rHContinuous, rlHContinuous(=HContinuous)⊂lHContinuous,

ubHContinuous(=vHContinuous)⊂uHContinuous, ubHContinuous(=vHContinuous)⊂bHContinuous,

Continuous⊂AContinuous⊂HContinuous,

vContinuous⊂vAContinuous⊂vHContinuous,

Continuous⊂rContinuous

Continuous⊂lContinuous

vContinuous⊂uContinuous

vContinuous⊂bContinuous

AContinuous, vAContinuous,

HContinuous⊂rHContinuous,

HContinuous⊂lHContinuous,

vHContinuous⊂uHContinuous,

vHContinuous⊂bHContinuous,

“右側または上側(偏)導関数∂ 左側または下側(偏)導関数δ” への2件のフィードバック

  1. 一部修正しました。

    いいね: 1人

  2. crShi, crS Partial Differential Equation

    上の偏微分方程式のセット四個をまとめて、Cauchy-Riemann-Shi方程式と呼びましょう。

    いいね

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