Sentence examples for extend definition from inspiring English sources

Now we want to extend Definition 1.1 as follows.

We can extend Definition 3.9 to bi-direction Δ-almost automorphic functions.

In next section, we extend Definition 2 to arbitrary (alpha>0).

We extend Definition 1.3 to the class of b-metric-like spaces.

In the next section, we extend Definition 2.2 to arbitrary (alpha>0).

In this section, we extend Definition 1.1 to introduce the notion b-metric space in the setting of (C^ -algebras as follows.

The latter option raises some issues when we want to extend definitions written for the binary case.

We extend Definitions 2.1 and 2.2 of Hoheisel and Kanzow [11] to the case of the MOSIPVC.

We do this simply by extending Definition 1.1 in the obvious way.

end{aligned} (4.6) This extended definition will be required to prove our main results.

P is ISOM (extending definition (16) in the obvious way to quantifiers of this type), and John's results by freezing the first two arguments to suitable values.