homogeneous

homogen, einheitlich

Aus ähnlichen Menschen oder Dingen bestehend oder überall gleich beschaffen.

In einfachem Englisch: 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.

Synonyme: uniform, consistent

Gegenteile: heterogeneous

Häufige Wendungen: homogeneous group, homogeneous mixture, homogeneous population

homogen

In der Mathematik: mit derselben Summe der Variablenexponenten in jedem von null verschiedenen Term.

In einfachem Englisch: 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?

So benutzt man es: homogeneous of degree + number (The polynomial is homogeneous of degree two.)

Häufige Wendungen: homogeneous polynomial, homogeneous quadratic, homogeneous expression

homogen

Im selben physikalischen Zustand vorliegend, etwa wenn beide Stoffe flüssig sind.

In einfachem Englisch: 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.

Häufige Wendungen: homogeneous reaction, homogeneous system, homogeneous catalysis