noun
Meaning 1
a constant that may be introduced upon separation of variables
Definition source: English Wiktionary via Wiktextract
Topics: calculus, mathematics, sciences
Examples
- 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.
Meaning relationships
Synonyms: none provided
Antonyms: none provided