Sentence examples for result on convergence from inspiring English sources

Moreover, we show that our result on convergence is optimal.

Finally, we state the following elementary result on convergence of real sequences.

The proof of Theorem 1 will require a basic result on convergence of Markov processes from [36], which is restated as Lemma 2 in our context.

By specializing results of the latter authors to the depth-based case, we develop an easily applied general result on convergence of sample depth-based generalized quantile processes to a Brownian bridge.

Finally, by Lin and Gupur [9] we show that our result on convergence is optimal, that is to say, it is impossible that the time-dependent solution of the model converges exponentially to its steady-state solution.

Usefulness of (1) has also been recently shown in [18], where, among others, a small but nice result on convergence of its solutions was proved by using formula (2), partially extending the result in the following problem in [7] (in the eight edition of the Russian version of the problem book from 1972 it is Problem 637.2).

Partial results on convergence and statistical properties are provided.

Furthermore, some results on convergence diagnostic of the adopted algorithm are presented.

In this paper we analyze the general results on convergence of line search methods with seven line search rules.

We use inequality technique and the terminating case of the -binomial formula to give some results on convergence of -series involving basic hypergeometric series.

This allows us not only to obtain theoretical results on convergence and reduction of anisotropy, but also to carry over the results to systems with anisotropy in other directions.