Sentence examples for spaces present in from inspiring English sources

To this extent, the variable spaces present in steel frame design optimization problems are studied and two unique challenges of these spaces are identified and explained.

We subsequently use these results to make progress on Gowers' program of classifying Banach spaces by finding characteristic spaces present in every space.

It is shown that the algorithms that exhibit robustness are those that incorporate intensification and diversification in ways that can effectively navigate the large variable spaces present in steel frame design optimization problems.

All portal spaces present in histological sections were considered.

Since there are spaces present in the file name, you'll just receive an error message.

Hence, Example 2.1 shows that the main results in this paper are more powerful than the standard results of cone metric spaces presented in the literature.

An example shows that our main results concerning the fixed point theorems in the setting of cone metric spaces with Banach algebras are more useful than the standard results in cone metric spaces presented in the literature.

Remark 3.4 In Example 3.2, we see that the main results in this paper are indeed more different than the standard results of cone metric spaces presented in the literature.

For more on hyperbolic spaces and a comparison between different notions of hyperbolic space present in the literature, we refer to [[1], p.384].

Learner autonomy lacks the structured and planned time and devoted space present in traditional classroom environment.

Note that doubling the power of θ in (7) doubles the harmonic frequency spacing present in the γ specified in (6).