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I didn't exactly know where I was, but I was bounding down the stairs, rounded the corner and knocked him flat".
(i) is bounded.
(2.8) Thus I is bounded from below.
We claim that X i is bounded.
Thus, T, W, and I are bounded.
Therefore, the functional I is bounded below.
Hence, I is bounded from below.
I is bounded from below; I satisfies the (PS) condition.
I is bounded from above on any bounded set of.
That is, I is bounded from below in (Omega^).
That is, I is bounded from above in (Omega^).
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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