Sentence examples for sums is used from inspiring English sources

A Galois-theoretic approach, combined with p-divisibility results on Gauss sums, is used here to prove a variety of new results that constrain which fields K and exponents d support three-valued Weil sums, and restrict the values that such Weil sums may assume.

The uniform distribution on the set of 0 1 tables with fixed marginal totals (i.e. with prescribed row-wise and column-wise sums) is used as a null model in various contexts (Besag and Clifford, 1989; Ponocny, 2001; Rasch, 1993).

Could the same sums be used better for rural development and poverty reduction?

These sums are used to generate a p-value [51].

Wilcoxon scores of rank sums were used to determine the effects of distraction length, patient age and motorized distraction.

Dirichlet characters and Gauss sums are used in this paper, please refer to [8] for more details.

A nonparametric Kruskall-Wallis rank sums was used in JMP to determine significant differences.

The sums were used to form a density per base and these densities smoothed using LOWESS local regression.

To quantify (hbox {CO}_2) intensity for a cluster, the within-cluster sum is used.

Then, ranks are summed up and this sum is used to generate the final ranks of each of the partitions.

This sum is used to score the alternative haplotype inferences.