Sentence examples for extends definition from inspiring English sources

The subsequent definition extends Definition 1 in the sense that an extended p-cyclic fuzzy mapping of domain restricted (X_{j}) has its image in (X_{j} cup X_{j + 1}) for any (j in bar{p}).

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

Now we want to extend Definition 1.1 as follows.

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

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

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).

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

It follows that we can extend definition (1.1) to certain negative powers of, for and define an operator by (1.3).

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.

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