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That said, each DO sample will have a unique set of SNPs and indels that can bias read alignment, and in total across a large population of DO mice, the number of alignment-sensitive genes will approach the sum of all genes that are sensitive to alignment bias across all of the eight founder strains.
In our approach, the sum of distance-weighted congruent objectives of normalized weighted closeness relationships and distance-weighted normalized weighted interactions are handled in the objective function.
In the other proposed approach, the sum of the time variance and frequency variance is used to formulate a positive definite matrix to measure the time frequency joint localization of a bandlimited function from its samples.
We show that under this approach, the sum rate capacity achieved is comparable to the optimal sum-rate capacity employing the well-known water filling solution with complete channel knowledge at the transmitter for spatio-temporal vector coding (STVC).
According to the canopy approach, the sum of tree transpiration and soil evaporation exceeded the throughfall in both years, which implies that the trees' bedrock water uptake exceeds the surface runoff and drainage losses.
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That doesn't approach the sums we're spending on Iraq.
He published The Trouble with Diversity exactly a decade ago, but it feels like a tract for our times, perfectly suited as a provocation to thought as we approach the summing up of liberalism's great annus horribilis.
Once we optimize the recombination layer and individual subcells, the hybrid tandem device reaches a VOC of 1.3 V, approaching the sum of the individual subcell voltages.
However, the results in Fig. 2 show that when SNR→∞, the individual capacities can be simultaneously achieved, i.e., the sum-capacity approaches the sum of the individual source entropies.
Based on the uniquely decodable property, we then prove that the asymptotic sum-capacity (C_{text {sum}}^{text {as}}) approaches the sum of source entropies if the signature waveforms are linearly independent of each other, i.e., (text {dim}(mathcal {S}_{K})=K).
which approaches the integral sum in equation (3.10) as n approaches infinity.
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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