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The converse part is obvious.
First, we complete the converse part.
Now we will prove the converse part.
The converse part of this theorem is straightforward.
This completes the converse part of the proof.
Therefore, is a weak minimal vector in the set W. The converse part is proved similarly.
Similar(37)
As for the converse parts of the proof of Theorem 2.3 we let λ n = ∑ k ∈ Z χ { τ k ≤ n } ∥ M ( a k ) ∥ ∞.
For the converse parts of the proof of Theorem 2.2 assume that f = ( f n ) n ≥ 0 has a decomposition of the form (1) and let λ n = ∑ k ∈ Z χ { τ k ≤ n } ∥ S ( a k ) ∥ ∞.
Future: A shoe he designed for Converse as part of Project RED is forthcoming.
You've got your best hareem pants on your bottom-half, your trusted Plain Lazy t-shirt on the top, and your heart is aflutter with the prospect of conversing with part-time actor pretending to be the Mad Hatter, somewhere in the "Wonderland" themed section of the festival complex.
The converse of first part of Theorem 3.3 is true in our problem.
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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