Sentence examples for more involved example from inspiring English sources

which is sharper than (5) for p < 0. A bit more involved example of h : X → E 2 satisfying (8) we obtain taking h ( x ) = γ ( x ) A ( x ) p, x ∈ X. for any real p < 0, any bounded function γ : X → R with inf γ ( X ) > 0, and any A : X → ( 0, ∞ ) such that A ( n x ) ≥ n A ( x ) for x ∈ X, ∈ N (for instance, we can take A ( x ) : = ∥ α ( x ) ∥ for x ∈ X, with some additive α : E 1 → E 2 ).

First we describe informally the enumeration algorithm through the toy example hypergraph in Figure 2D and 3A, then we outline in Figure 3B a typical run for a more involved example: liquiritigenin (cf. Figure 1).

Although the precise mathematical expression of this law is somewhat more involved, examples of it are numerous.

In addition, we provide two more involved examples, the molecular crystal naphthalene [12] as well as thiophene on Cu(110) [110.

In selections by Cui, piano lines were more adventurous, the interplay more involved; for example, the last vocal phrase of Cui's "I Touched the Bloom Lightly," a question is left tantalizingly unresolved, the pianist completing the expression.

The discretization of (1) is important in itself as it is a building block for many more involved schemes (for example, in the context of splitting methods or for methods where the linear part is treated differently).

More involved discussions and several examples can be found in our previous publication introducing layer-based modeling [ 3].

More involved enhancements will include, for example, an investigation into cases that operate in real time that is, cases where a realistic amount of time passes between procedures.

It is strongest in making the case for American Muslims to become more involved in national life, following the example of other immigrant communities in developing political power first at the local level, and eventually at the national one.

Moving forward, he wants to add tools that allow citizens to become more involved in making the plans a reality, for example by crowdfunding a project or volunteering.

Finally, the performance of the developed methodology in the cases with more involved boundary constraints is certified with demonstrative numerical examples and laboratory experiments.