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"I don't know that it means we need necessarily to change anything".
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I think we need tougher minded people than you need necessarily in physics and chemistry.
( C 2 ′ ) as well as ( C 2 ) yields the existence of a bounded solution, and the process of the proof is similar to the proof before, and we need not necessarily do it again.
For example, if we assume that something is a proof of an implication A → B, we need not necessarily show that both A and B are well-formed propositions outright, but, in addition to knowing that A is a proposition, we only need to know that B is a proposition provided that A has been proved.
And we need not necessarily go to DEFCON 1 (defined as "imminent threat of nuclear attack") to see how certain groups in the U.S. will be increasingly threatened.
It shows us, for example, that we need not necessarily find a bifurcation associated with every observed critical transition of a system.
The fact that lymph node metastases are often large and vascularised at diagnosis in these cases indicates that we need not necessarily involve an angiogenic switch (as the authors suggest) since at the time of surgery not only the primary tumour, but also detectable metastases are well vascularised.
"Yeah," Mayle said., "I don't think we need AR-15s, necessarily, at the school.
"It's people like them that we need on board, not necessarily Welsh speakers.
Furthermore, the long history of population mixing between people from different continents (for both conquest and other reasons) means that we need to select a necessarily arbitrary date for linking markers with groups; the date currently in use is 1492.
That's when we need our members, not necessarily at our meetings".
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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