Sentence examples for bounded subset such that from inspiring English sources

Since both are bounded functions, it follows that there exists a bounded subset such that for each.

Let (Omegasubset C [0,a] E)) be a nonempty bounded subset such that nubigl(F HtimesOmega bigr geqnu(Omega).

Assume (Omegasubset X) is an open bounded subset such that (operatorname{dom}Lcap overline{Omega}neqvarnothing), then N is L-compact on Ω̅.

Assume (Omegasubset X) is an open bounded subset such that (operatorname{dom}Lcap bar{Omega}neqvarnothing), then N is L-compact on (bar{Omega}).

Lemma 3.5 Assume Ω ⊂ Y is an open bounded subset such that dom L ∩ Ω ¯ ≠ ∅, and N is defined by (2.2), then N is L-compact on Ω ¯.

Assume (Omegasubset X) is an open bounded subset such that (operatorname{dom}Lcapoverline{Omega}neqemptyset), then N is L-compact on (overline{Omega}).

The generalized concept of differentiation of distributions shifts the operations to test functions γ : R n × R + ⊃ G → R (G open) which are infinitely differentiable and have a compact support (meaning that for each γ there exists a closed and bounded subset K such that γ ( x, t ) = 0 for all x ∈ G ∖ K ).

If (B1) holds, then for, there exists a bounded subset and such that for any, (2.9).

(iii For each, there exist a bounded subset and such that for any, (2.14).

(B1 For each and, there exist a bounded subset and such that for any, (2.8).

(B3) for each and, there exists a bounded subset and such that for any, (4.3).