Sentence examples for partial sums from inspiring English sources

The partial sums of (1) get closer and closer to a single fixed value namely, 1.

The difference between series (1) and (2) is clear from their partial sums.

In modern terms, 4/3 is the limit of the partial sums.

To see why this should be so, consider the partial sums formed by stopping after a finite number of terms.

The partial sums of (2) alternate between 0 and 1, so that the series never settles down.

As usual, we denote, as the sequence of partial sums.

The above-mentioned results are all related to partial sums.

Afterwards, using the strong approximations for partial sums of i.i.d.i.d

We establish the PAC-Bayesian inequality between the partial sums and the total quadratic variation of the partial sums.

case to extended negatively dependent sequences, but also from partial sums case to the maximum of partial sums.

Moreover, Wu [12 14] explored the almost sure limit theorem for product of partial sums, stable distribution and product of sums of partial sums, respectively.