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We do this simply by extending Definition 1.1 in the obvious way.
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.
Furthermore, "the extending definition of learning STEM is the acquisition of knowledge and skills through experience and study integrated through multiple lenses allowing for the appreciation of the encompassing complexity and crosscutting ideas across the STEM disciplines as a whole" (Lamb et al., 2015, p.410-411).
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In next section, we extend Definition 2 to arbitrary (alpha>0).
Now we want to extend Definition 1.1 as follows.
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).
In this section, we extend Definition 1.1 to introduce the notion b-metric space in the setting of (C^ -algebras as follows.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com