Sentence examples for considered in example from inspiring English sources

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

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

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.

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

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

Whereas in the reference example the coding of two correlated random variables is considered, in our example we consider the coding of a sequence of random variables.