Sentence examples for the second result provides from inspiring English sources

2) Single infinite series representation: The second result provides a simpler expression for (18) involving only a single infinite sum [23], which was proposed by Moschopoulos [24].

Single infinite series representation: The second result provides a simpler expression for (18) involving only a single infinite sum [23], which was proposed by Moschopoulos [24].

The second result provided is a graphical representation of phylogenetic informativeness and calculations of quantitative measures of informativeness.

The paper has two main results: the first result provides an upper bound on the size of the set of rationalizable strategy profiles; the second gives a lower bound on the change of location of this set.

The first result provided features a table with basic information about each locus analyzed, including the program used to analyze the rates, locus length, the number of sites for which a substitution rate could be calculated, and the number of faulty sites for which this calculation was not possible.

The latter technique still is in a stage of development but already the first results provide promising information.

The first results provided by a prototype of gluing robot for the bonding of leather patches and shoe soles are presented.

The first results provided have now to be confirmed.

Meanwhile, Adaptive-FF selects the first result that provides a diversity value within the threshold limit, thus introducing higher degree of approximation as compared to Adaptive-BF.

Recall that in each iteration of the mGreedy algorithm, the first result that provides the diversity close to the estimated diversity value as predicted by the regression model is added to the diverse subset.

The first results have provided empirical evidence that elimination of onchocerciasis with ivermectin treatment is feasible in some endemic foci in Africa [ 31], and the principle of elimination has since then been established.