Sentence examples for considered in examples from inspiring English sources

Time scales considered in Examples 2.12, 2.13 and 2.14 are not almost periodic time scales but changing-periodic time scales.

In [14] it has been shown that time scales considered in Examples 2.16 and 2.17 are almost periodic time scales.

A particular numerical situation and a more general application to the drug combination study are considered in Examples 5 and 6, respectively, in the Appendix.

As a final remark, we focus our attention on the denominators of the potentials considered in Examples 2 and 4, where ((k+1)^{(p)}) and ((k+1)^{(3/2)}) is replaced by (k^{(p)}) and (sqrt {k^{3}}), respectively.

Let us show that the convexity of a metric space is essential for equivalence of the properties of q-Lipschitzness in the metrics dist, ρ cl, ρ S. Note that the maps considered in Examples 3 and 4 are contracting (with a constant q = 1 / 3 ) in the metrics ρ S and ρ cl.

Let ((X,d)) be the metric space considered in Example 2.4.

Let C, e, g, and Y be considered in Example 3.1.

Let ((X, A_{b})) be a dislocated (A_{b} -quasi-metric spA_{b} -quasi-metricxA_{b} -quasi-metric

Let Λ be the 3-subspace quiver as considered in example 9 and let Y = Q ( a ).

If | a | < 1, then | x ( t ) | is approaching 0 (different from the corresponding ordinary differential equation considered in Example 1).

Remark 2.2 The bifunction h considered in Example 2.1 is properly ( C, η ) -quasimonotone on K of the Stampacchia type.