English Dictionary

separation constant

名詞

(calculus) a constant that may be introduced upon separation of variables

日本語の意味

変数分離法において、変数を分離した際に導入される定数

When separating variables to solve the differential equation, we introduced a separation constant to represent the arbitrary constant arising from integration.

微分方程式を解くために変数分離を行うと、積分から生じる任意定数を表す分離定数を導入しました。

意味（1）

(calculus) 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.

separation constants （ plural ）