Sentence examples for by using these means from inspiring English sources

By using these means, a generalization of (1.2) was given (see [7]).

By using these means, the difficult coefficients of the deep rock engineering were determined.

Furthermore, by using these results, they obtained two mean ergodic theorems for nonexpansive mappings in a Hilbert space.

Given this ambiguity, the important thing is that students are able to explain what exactly they mean by using these expressions.

In this paper, four different structures, FCM-NN, PCA-NN, FCM-PCA-NN and WT-NN, are formed by using these two techniques and fuzzy c-means clustering.

Note that the above relation is true only if | ∑ i = 1 k n E X n i I ( | X n i | > δ ) | ≤ ϵ ∕ 2. Chen et al. [9] and Dehua et al. [10] obtained complete convergence results (Theorems 1.4 and 1.6, respectively) for negatively associated and negatively dependent random variables and then they proved the case of mean zero by using these results.

By using these parameters, composite index was produced by using PCA and mean score was determined.

Ratios between the target and reference gene were calculated by using the mean of these measurements.

Scores are given by using the mean of these items (range 1 5).

Although all housekeeping genes gave similar results for normalizing the data, the variance of the estimation of the housekeeping Ct value was reduced by using the mean of these 4 reference genes (data not shown).

We interpolated the missing values for these pollutants by using the mean of previous and the following days' concentration.