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They demonstrated when the sizes of the unknown part of the support and of errors in the known part are small compared to the support size, the sufficient conditions on recoverability problem are much weaker than those needed for classical ℓ 1minimization method.
The main purpose of our present paper is two-fold: first, we try to recover all the results about global existence and decay estimate of solution in Takeda and Yoshikawa [1] under some assumptions on the initial data ( u 0 ( x ), u 1 ( x ) ) and the nonlinear function f, which is much weaker than those needed in Takeda and Yoshikawa's arguments.
A mixed bag, weaker than it needed to be, but a product of the legislative process as it has evolved.
Engineers who designed the World Trade Center may have significantly underestimated the force of the winds that the twin towers needed to withstand in the worst of possible storms, federal investigators said yesterday, an oversight that could have led to weaker-than-needed exterior steel columns.
Write more than needed.
I would leave class by myself, and the desire to think about Leibniz was weaker than the need to say to someone, "That was so boring".
"The cruellest irony of all is that it is exactly at this time that British liberalism, that fine, noble tradition that believes we are stronger together and weaker apart, is needed more than ever before," the former deputy prime minister said, fighting back tears.
This method yields consistent estimations under much weaker assumptions than those needed for the complete case analysis.
Now Obama's team and its allies are aggressively pushing for the deal we were meant to get back then to be signed more than eleven years later, and to be weaker than the one we needed in 2009.
It is weaker than England and, therefore, needs a stronger ally.
Lions form prides, not because they totally love each other, but because unless your prey is old and weak, you need more than one hunter to bring down a wildebeest.
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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