separation constant

noun

a constant that may be introduced upon separation of variables

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Meanings

nounseparation constant (plural separation constants)

plural separation constants

  1. calculusa 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.

Translations

German Seperationskonstante
  • Seperationskonstanteconstant introduced after separation of variables
Cite this entry
APA

separation constant. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/separation%20constant

MLA

“separation constant.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/separation%20constant. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “separation constant,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/separation%20constant.

Source: separation constant on Wiktionary, CC BY-SA 4.0.