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"extension of being" is a correct and usable phrase in written English.
It can be used to refer to the concept of expanding or broadening one's existence or sense of self. Example: "Traveling to different countries was an extension of her being, as she gained a deeper understanding of different cultures and ways of life."
Exact(9)
"It was a time when issues were very clear and idealism was a natural extension of being young," Ms. Sarandon said.
This massive disparity could be down to the fact that, for an average Joe who likes fashion, an interest in models is not an extension of being interested in clothes.
In fact, it is the great pleasure of journalism — and by extension of being a reader — to be able to step outside one's own world and dive into another as an interested outsider.
"I call being a Mets fan the logical masochistic extension of being a Dodgers fan," he said, signaling the start of a lengthy soliloquy on the Brooklyn Dodgers' 1941 loss to the Yankees in the World Series.
Q. Did managing people come naturally to you? A. To me, being a C.E.O., being a manager, was really a direct extension of being a programmer, which I think explains some of the things I'm good at and some of the things I'm bad at.
We recall (see [10]) that a Whitney extension of, being compact in, is a compactly supported function such that and.
Similar(51)
Hence given any it is easy to see that the extension of is -periodic.
By Lemma 3.1 ii),the extension of is -periodic if and only if.
If we see that must be since It is clear that Suppose and recall that the extension of is -periodic.
We recall that the Whitney extension of is a compactly supported function for which it holds that and (3.2).
The extension
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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