Sentence examples for the context of example from inspiring English sources

As 1 and 2 are not comparable elements, in the context of Example 3.1, the fixed point is not unique supporting our uniqueness results.

With a view to check the validity of Theorem 3.5 in the context of Example 3.1 (without any partial order on X), observe that for (x=1) and (y=2), (3.1) gives rise begin{aligned} -frac{1}{2}=frac{1}{2}+F(d(f1,f2))ge F(1)=-1 end{aligned}so that the inequality (3.1) is not satisfied.

This procedure is developed in the context of examples, each of which concerns a classical apparatus who dynamics are more interesting than previously believed.

In this review these advances are thoroughly discussed within the context of examples of metal-based antimicrobial macromolecules, their mechanisms of action and biocompatibility.

We discuss four necessary conditions for any scientific investigation: observables, interpretables, replicables, and robustness in the context of examples familiar to finance professionals.

In the Excel file, worksheet Second, we have used the context of the example based on the TICD model.

Statistical notations and the proposed model are then presented through the context of the example.

Here, it is worth noting that none of the earlier relevant theorems, for example, Theorem 1.1, Theorem 1.4 and Theorem 1.5, can be used in the context of this example.

We interpret them in the context of the example.

The computational performance is discussed in detail within the context of the example.

Thus the result of Singh and Mishra [19] cannot be applicable in the context of this example.