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It is shown by formal developments that the thermal equation is obtained under the assumption of performing appropriate space averages, while the modified vibration conductivity equation does not need, in some cases, this condition.
California is now rolling inexorably toward a rendezvous with potential political chaos that it does not need in its present fragile condition and that somebody in authority should have found a way to avoid.
The condition (H2) of Theorem 1 is also satisfied easily, but it does not need in Theorem 2.
As his life wound down, he had shed all the trifles one does not need in this world.
"What it does not need, in my view, are a few gargantuan institutions capable of bringing down the very system they claim to serve".
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The Medicaid recipients, though, did not need in-home care, according to the indictments.
Why get married at all? Women don't need providers and men don't need in-house procreators.
Under a 2007 agreement the three states may store water they do not need in Lake Mead for later withdrawal.
On Friday, Verizon asked voice mail customers todelete messages they did not need, in order to avoid overtaxing the system.
Nanobodies are in vivo affinity matured entities that do not need in vitro affinity maturation steps as are often required with binders from naive or synthetic libraries.
But it also does not need to result in stagnation.
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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