斉せい次じ

noun which may take the genitive case particle 'no'

homogeneous

Mathematical term used to describe functions, equations, or expressions where all terms have the same degree or scaling property.

• 斉せい次じ関かん数すうは、変へん数すうを定てい数すう倍ばいすると関かん数すう値ちがその定てい数すうのべき乗じょう倍ばいになる。

  A homogeneous function is one where multiplying the variables by a constant multiplies the function value by a power of that constant.

• この微び分ぶん方ほう程てい式しきは斉せい次じなので、変へん数すう分ぶん離り法ほうで解とける。

  Since this differential equation is homogeneous, it can be solved by separation of variables.