Bimeasurable

Translation of "bimeasurable" into Russian

Adjective

/baɪˈmɛʒərəbl/

/baɪˈmɛʒərəbəl/

bimeasurable

more bimeasurable Comp.

most bimeasurable Super.

Used chiefly in mathematical contexts (measure theory) to describe functions measurable with respect to two σ-algebras.

би-измеримый

матем.; измеримый относительно двух σ-алгебр или в обоих переменных

The transformation T is bimeasurable, so both T and T^{-1} are measurable.

Преобразование T би-измеримо, поэтому измеримы как T, так и T^{-1}.

Additional translations

дважды измеримый

редко; то же, что «би-измеримый»; технический термин (матем.)

Adjective

/baɪˈmɛʒərəbl/

/baɪˈmɛʒərəbəl/

(Mathematics) Measurable with respect to each of two σ-algebras; measurable in both variables or under two distinct measures.

Let f : X × Y → ℝ be bimeasurable; for every fixed x the mapping y ↦ f(x, y) is measurable in y, and conversely.