Sentence examples for extending the above from inspiring English sources

This is achieved by extending the above cross-layer design to higher layers.

Extending the above result, Almeida and Campello (2007) tested the effect of tangibility of assets on investment by the firms.

However, extending the above definitions of reflexivity and monotonicity from a mean to a general binary map, the following result is of interest [2, 3].

In this paper, while further extending the above theorems in a complete metric space with a -distance, we show that these extensions are equivalent.

Extending the above algorithms to a coded system boils down to replacing the prior probabilities of the symbols with the extrinsic probabilities provided by the decoder.

Extending the above definition, Osilike and Udomene [20] considered operators T for which there exist real numbers L ≥ 0 and δ ∈ [ 0, 1 ) such that for all x, y ∈ E, ∥ T x − T y ∥ ≤ δ ∥ x − y ∥ + L ∥ x − T x ∥. (1.3).

The obtained results extend the above theorems.

Moreover, we can extend the above result.

Gu [4] has extended the above implicit iteration processes.

We extend the above definition to two mappings.

These results extend the above results obtained in [4].