Sentence examples for nested sums from inspiring English sources

In case of the V-type graphs with five massive propagators, new types of nested sums and iterated integrals emerge.

We also derive the asymptotic representations of the nested sums and present the solution for N∈C.

Unfortunately, due to the nonlinearity of the function, there is no way to separate the random variables and thereby the nested sums.

Unfortunately, the nested sum can hardly be evaluated numerically.

The nested infinite sums in (7) and (12) converge for any defined value of the parameters, and.

The nested infinite sums in (8) and (12) converge for any defined value of the parameters,,,,,,, and.

Boxplots of 50 cross-validation sum of squared residuals for ridge regressiona and PLS on AquaticTox and 50 nested cross-validation sum of squared residuals for ridge regressiona and PLS on AquaticTox. Figure 11 Cross-validation and nested cross-validation sum of squared residuals for ridge regression and PLS on MeltingPoint.

Boxplots of 50 cross-validation sum of squared residuals for ridge regressiona and PLS on MeltingPoint and 50 nested cross-validation sum of squared residuals for ridge regressiona and PLS on MeltingPoint.

Figure 10 Cross-validation and nested cross-validation sum of squared residuals for ridge regression and PLS on AquaticTox.

The sum_elems function computes the sum of integer elements in a nested pair by recursively computing the sums of its first and second elements and adding the results.

Obviously, their sum is also nested in h k,k Λ k,l.