separation constant en · NOUN
Meanings
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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.
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| separation constants | Number=Plur | lexicographic |
Translations (1)
de Seperationskonstante (constant introduced after separation of variables)