homogeneous

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.

Similar words: uniform, consistent

Opposites: heterogeneous

Common phrases: homogeneous group, homogeneous mixture, homogeneous population

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?

How to use it: homogeneous of degree + number (The polynomial is homogeneous of degree two.)

Common phrases: homogeneous polynomial, homogeneous quadratic, homogeneous expression

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.

Common phrases: homogeneous reaction, homogeneous system, homogeneous catalysis