Sentence examples for apply to this example from inspiring English sources

Indeed, the inequality above holds for k ≥ 6 5. Thus, Theorem 4.1 does not apply to this example.

Note that Theorem 1 cannot be applied to this example.

Thus, Theorem 10 cannot be applied to this example.

Let us imagine that the ASVM is applied to this example.

Hence, the above two theorems cannot be applied to this example.

Next, we show that the contractive condition in Theorem 2.2 cannot be applied to this example.

Note that since the delays are not monotone, Theorem 3.2 cannot be applied to this example.

That is, Theorem 3.1 of [6] cannot be applied to this example.

Thus, T is not a contraction mapping and then the Banach contraction mapping cannot be applied to this example.

However, the totally ordered version of Theorems 3.3 and 3.4 cannot be applied to this example (since (9) does not hold).

Note that Theorems 3.10(c) or 3.11(c) cannot be applied to this example because (f_{0}=infty) and (f_{infty}=0).