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In Section 4, a sharp threshold for global existence and blowup of the solutions are derived by utilizing two invariant manifolds, applying potential well argument and the concavity method.
Secondly, and what is more, by introducing some auxiliary functionals and invariant manifolds, the authors study and derive a sharp threshold for the global existence and blowup of solutions by applying potential well argument and the concavity method.
Secondly, a sharp threshold for the global existence and blowup of the solutions was derived by introducing some auxiliary functionals and invariant manifolds and applying potential well argument and the concavity method.
What follows and what is more, by introducing two auxiliary functionals and two invariant manifolds, we study and derive a sharp threshold for the global existence and blowup of the solutions by applying potential well argument [20] and the concavity method [21].
What this leaves out is how this is often presented to the average newspaper reader -- that the "war is not going well" argument is simply offered up as one side of a debate, a side that the media takes great pains to paint as essentially unserious.
I was shocked, panicked, I thought now what? a thousand thoughts, for myself, my family, have I exposed them as well?" (argument by a nurse working in an adults intensive care unit).
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This is just as well – arguments over the initial funding proposals demonstrated to the DH that councils had no intention of meekly following orders.
On an epistemological level, philosophy may well have good arguments to make in response to revelation.
Then the instability of the standing wave is shown by applying potential-well arguments and concavity methods.
A combination of being assertive, appreciative, self-assured, and presenting a good, well-researched argument.
Well, the argument is over and the tossers have won.
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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