homogeneous

均質な、同質の

似た人や物から成る、または全体が同じ性質を持つ。

やさしい英語で： Made up of people or things that are all similar, or the same throughout.

• The mixture should be homogeneous.
• The survey used a fairly homogeneous group of students.
• Their population is less homogeneous than it once was.

類義語： uniform, consistent

反対語： heterogeneous

よく使う表現： homogeneous group, homogeneous mixture, homogeneous population

斉次の

数学で、ゼロでない各項の変数の指数の合計が同じである。

やさしい英語で： Having terms whose powers add up to the same total in every nonzero term.

• This polynomial is homogeneous.
• We studied homogeneous polynomials of degree three.
• Is this expression homogeneous if one term is a constant?

使い方： homogeneous of degree + number (The polynomial is homogeneous of degree two.)

よく使う表現： homogeneous polynomial, homogeneous quadratic, homogeneous expression

同相の、均一な

どちらも液体であるなど、同じ物理的な状態にある。

やさしい英語で： In the same physical state, such as both being liquids.

• The liquids formed a homogeneous system.
• In homogeneous catalysis, the catalyst and reactants share one physical state.
• The substances must be homogeneous for this reaction.

よく使う表現： homogeneous reaction, homogeneous system, homogeneous catalysis