Sentence examples for sums run from inspiring English sources

Thus begin{aligned} delta (v')^l = sum b_beta frac{partial ^beta }{partial f^beta } quad text {and} quad mu (cv)^k = sum overline{a}_alpha f^alpha,, end{aligned}where the sums run over all multi-indices (alpha ) and (beta ) with (|alpha | = k) and (|beta | = l,).

In particular we have and where the sums run over all N D dataset genes, and over all N R r-regulated genes.

Thereby, the displacement d xi of cell i is given by: (3) where the sums run over all neighbouring cells j in direct contact to cell i.

To summarize the haplotype networks of size n1 = 86 and n2 = 123, we translated their DNA sequences into peptides and calculated the joint posterior fitness distribution of each peptide i as F i = (∑ j f j p j ) / (∑ j p j ), where the sums run over all DNA sequences j that code for peptide i.

Other accounts appearing in British newspapers and on the Internet said that the rights to the photographs and the women's stories were being offered at sums running as high as $1 million.

Krasner revealed Mostyn paid out sums running into "hundreds of thousands" and never imagined they would be in the Premier League during those dark days.

Here, the sums runs over all triangles m that are associated to box b in state X.

The partitions are generated using the Longest Processing Time (LPT) algorithm: the jobs are sorted in descending order by sum of lengths (product of lengths) and then assigned to the partition with the smallest total running sum.

The sum runs over all N 'basic cells' which the model is consist of (see [11]).

where the sum runs over all examples of the training set.

Here the sum runs over all positive integers (i_{1}, ldots, i_{r}), with (i_{1}+cdots+i_{r}=m).