Sentence examples for obtain the sums of from inspiring English sources

From (2.15) and (2.17), we obtain the sums of powers of consecutive -Euler numbers as follows.

From (5.10), we also obtain the sums of powers of consecutive multiple twisted Dirichlet's type -Euler numbers as follows.

Therefore, we obtain the sum of N C identical spectra for all complexes.

These ILD tests used 1,000 randomized partitions of the data and a heuristic search on each randomization to obtain the sum of tree lengths for each partition.

We obtained the sum of the APSP values for all residue-pairs for every protein and plotted the ratio of APSP to protein length versus the protein length as shown in the bottom panel of Figure 12.

For each genome, we defined regulatory, coding and nonfunctional regions as previously done for E. coli and we obtained the sum of the number of occurrences of each hexamer in every region (Tables S2, S3 and S4).

In the original residual updating algorithm, updating of the residuals and obtaining the sum of cross-products of the residuals and genotypes of each individual are the most time-consuming steps [ 15].

Coronary arterial calcification score was assessed by obtaining the sum of each CT slice's area of calcification multiplied by a coefficient based on the peak CT number (Agatston score).

Then, we can obtain the sum rate of the uplink multiuser hybrid beamforming system as R=sum_{i=1}^{K}log_{2}{left(1 +gamma_{i} right)}, (8).

The SUM rule obtains the summed value of all of the scores.

Here are three questions from Cambridge's public exams in the 1850s: "Obtain the sum of 46 times 7,020, 17 times 1,000,001, and 33 times 33;" "Name in order the queens and the children of Henry VIII.