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Basically, the idea consists on sequentially evaluating the sum terms, using a series of thresholds which are associated with the confidence that a partial output will coincide with the overall network classification criterion.
After evaluating the sum of log user throughputs, we select one of the combinations of the users and the neighboring cells that maximizes the sum of log user throughputs.
Integrating by parts the first integral we get Evaluating the sum on the left-hand side as above, we arrive at ∑ j = 1 p I j ( u ( t ) ) e ∫ 0 t j a d τ = ∫ 0 T f ( t ) e ∫ 0 t a d τ d t. (23).
and say that the Wronskian has a weighted node at i ∗ if # I ( i ∗, i + 1 ) = ± 1. Denote C i ( a, b ) = q i ( a ) − q ˆ i ( b ), B i ( a, b ) = r ˆ i − 1 ( b ) − r i − 1 ( a ) and observe that we can calculate the constant P ˜ given by (3.39) evaluating the sum of (4.5), (4.6) for a = b = λ 0 < min ( λ 1, λ ˆ 1 ).
Thus, our approach of evaluating the sum of expression of genes participating in a category of interest is a crude, but necessary, first step in interpreting our expression results.
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To determine, one can evaluate the sum.
secondly, we evaluate the sum of average rate with K=3,N=4,d=1.
In Fig. 2 we evaluate the sum rate in two different scenarios for the user requirements.
To evaluate the sum of the powers of negative eigenvalues, we need to prove the following lemma.
Specifically, in functional MRS (fMRS) experiments, most work has evaluated the sum NAA + NAAG, which does not appear to change during experiments.
Now that we have computed the eigenvalues of Γ, we are finally in condition to evaluate the sum in the right-hand side of Eq. (47).
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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