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Combining with − F ( x n, p ) ≥ 0 and ∑ n = 0 ∞ β n = ∞, we can deduced that lim sup n → ∞ F ( x n, p ) = 0 as desired.
Thus, It can deduced therefore that the total search complexity in the PRF scheme is reduced by a factor of compared to the GRF scheme.
Assume ( A T A ) − 1 is existed, the product D A T A D is without restrictions in (10), we can deduced that sometimes D should be chose close to ( A T A ) − 1 / 2 as more as possible.
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This you can deduce from any stroll around New York.
I think we can deduce from that that I had massive public support".
We can deduce the circular nature of Stonehenge from solid evidence that is visible to everyone.
"There are a zillion things we can deduce from a tax return," Mr. Ben-Ami said.
We can deduce therefore that Albert does not have June or April.
But we can deduce that it cannot be 12 or 14 (or 16) either.
By noting the matches, scientists can deduce which flu it is.
From that they can deduce more about how the animal held itself and moved.
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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