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If the sum of absolute order differences is not null, then Mb is different from Ma and using Lemma 2, we know we can apply a rule that will strictly decrease the sum of absolute order differences.
As a representative, the widely used k-means clustering begins with an initial set of randomly selected centers and then iteratively refines this set to decrease the sum of the squares distances.
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Data transformation improved the diagnostic power of the best linear combinations for both the LDA and DF approaches by decreasing the sum of false negative and false positive rates.
The modified Scherrer equation is advantageous for decreasing the sum of absolute values of errors, ∑(±Δln β), and producing a single line through the points to give a single value of intercept ln kλ/ L) [ 22].
"Everything which decreases the sum total of man's sleep, increases the sum total of man's capabilities," Thomas Edison once remarked.
On the other hand, increasing SSR for hybrid channel scenario also decreases the sum capacity of femtocells converging to co-channel at ρ = 0 and dedicated channel at ρ = 1.
As the dose of fractionated radiotherapy is increased, the number of reproductively intact tumor cells decreases while the sum of both tumor cell populations also decreases as reproductively dead but metabolically intact cells undergo lysis with time.
Fig. 2 shows that redistribution decreases efficiency (the sum of the payoffs normalized to the sum of maximum payoffs) but increases equality (measured by the payoff of the poor relative to the rich).
MWD was lower in patients taking interacting co-medications, and decreased as the sum of interactions increased, but it also appeared to be lower in patients taking co-medications which are not on the interacting medications list.
However, effective porosity estimated by inverse modeling may not be optimal despite reasonable spatial patterns and substantial decreases in the sum-of-squared error.
The NE reuptake inhibitor was associated with a significant decrease in whole body NE turnover, as suggested by the decrease in the sum of (NE+NM+VMA+MHPG).
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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