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The full solution is obtained utilizing the linearity of the Poisson equation enabling super-position of solutions.
We remove this inefficiency by utilizing the linearity of the constraints defining the polytope, so each iteration of PHR can be efficiently implemented even though the variables are allowed to be integer valued.
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If we split each f i as f i = f i 0 + f i ∞, where f i 0 = f i χ B ∗ for i = 1, …, m, and utilize the multi-linearity of, we have the following decomposition, | T ( f 1, …, f m ) ( x ) | ≤ | T ( f 1 0, …, f m 0 ) ( x ) | + ∑ ′ | T ( f 1 τ 1, …, f m τ m ) ( x ) |, where each term in ∑′ contains at least one τ i = ∞.
Utilizing the WHO International Standard for Hepatitis D Virus RNA, the lower limit of detection was 575 IU/ml, and the linearity of quantification ranged from 575000 IU/ml to 575 IU/ml.
On the analytical power of montage: it "can break through the linearity of history, the linearity of thought and of text".
Gone is the linearity of the first game, replaced with a stunning open city.
I wanted to take away the linearity of the old experiences as much as possible.
"It defines the seating area, and it breaks the linearity of the space," Ms. Valy said.
The model, the idol, is the linearity of film (though not, one presumes, the unlinearity of Antonioni, Bergman, Kurosawa, Ozu).
Hornbeam hedges running down either side emphasise the linearity of the canal and drive the vista through to the temple.
"And I got thinking about 'what can you really do beyond this?' there is something about the linearity of physics and the non-linearity of physics.
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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