separation constant

名词 n.

英文释义

名词 n.
  1. a constant that may be introduced upon separation of variables
    — The partial differential equation a sin ²(θ)Φ(ϕ)+Φ(ϕ) cos (θ)(∂Θ(θ))/(∂θ)+(∂²Φ)/(∂ϕ²)=0 can be rewritten a sin ²(θ)+ cos (θ)(∂Θ(θ))/(∂θ)=-1/(Φ(ϕ))(∂²Φ)/(∂ϕ²)≡K, where K is a separation constant that depends on neither θ nor ϕ. This then yields two ordinary differential equations.

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