Sentence examples for a pair of subsets from inspiring English sources

Let be a pair of subsets in Rn such that Ω has finite, positive Lebesgue measure.

Theorem 4.1 Let ( A, B ) be a pair of subsets of a metric space ( X, d ).

Corollary 5.1 Let ( A, B ) be a pair of subsets of a metric space ( X, d ).

Lemma 3 Let ( A, B ) be a pair of subsets of a metric space ( X, d ), and define A 0 and B 0 by (1) and (2).

Theorem 9 Let ( A, B ) be a pair of subsets of a metric space ( X, d ), and define A 0 and B 0 by (1) and (2).

Let ((X,d)) be a b-metric space (with (sgeq1)) and let ((A,B)) be a pair of subsets of X and let the map (J Xtimes Xrightarrow [0,infty)) be a b-generalized pseudodistance on X.

for all x, y, z ∈ E, t > 0. Let ( A, B ) be a pair of nonempty subsets in E and A 0 be nonempty closed subset.

Let ( A, B ) be a pair of nonempty subsets in E and A 0 be a nonempty closed subset.

Let ( A, B ) be a pair of closed subsets of a metric space ( X, d ).

Let ((A, B)) be a pair of nonempty subsets of a metric space X with (Aneqemptyset).

Lemma 3.1 Let ( A, B ) be a pair of closed subsets of a metric space ( X, d ).