Sentence examples similar to any compact set in question from inspiring English sources

for some sequence, where is any compact set in.

Then is bounded and uniformly continuous on for any compact set in.

Then, there exists a sequence, as such that uniformly on as, where is any compact set in.

Then, for any sequence, there exist a subsequence of and a function continuous in such that uniformly on as, where is any compact set in.

Definition 2.2 (see [9]). is said to bealmost periodic in uniformly for if for any and any compact set in, there exists an such that any interval of length contains a for which (2.2). for all and all.

Let K ⊂ Q T be an any compact set.

Subsequently, we show that (u^_{r}) is uniformly bounded on any compact set of R. Take (a,b in R) such that (a < b).

From this we get that the convergence in (2.6) is uniform on any compact set of assuming that is Lebesgue measurable.

Moreover, for any given and for any compact set, for small enough, we have (4.58).

Let (S_{f}^{prime}) be any compact set contained in (S_{f}^{0}).

We shall further assume that S is the union of a decreasing sequence of countable family of compact sets { C n } such that for any other compact set in S there is a C i which contains it (see [44]).