Sentence examples for means were established from inspiring English sources

Recently, some monotonicity results of the ratio between generalized logarithmic means were established in [16 18].

Assays were regularly performed in triplicates and statistical means were established.

All data were analyzed by a one-way analysis of variance, and the differences between means were established by Duncan's multiple-range test.

The data regarding weight gain, plasma levels of AST, GGT, LDH, ALT, CHE, and creatinine, and TBARS concentrations in the liver were analyzed using a one-way ANOVA, and differences between the means were established with Fisher's post hoc tests (i.e., minimum significant differences) using the minimum confidence level of 95%.

As applications, several inequalities related to generalized Gini-Heronian means are established in Section 4.

At the end of the paper, two new inequalities related to the generalized Gini-Heronian means are established to illustrate the applicability of the given result.

The mean is established as the mean over the subjects that rated that particular song.

Firstly, generalized criteria on persistence in mean are established by utilizing stochastic comparison principle and novel analysis techniques.

Some inequalities related to the generalized geometric Bonferroni mean are established to illustrate the applications of the obtained results.

Sufficient conditions for extinction, non-persistence in the mean, weak persistence in the mean and strong persistence in the mean are established.

Sufficient conditions for stochastic asymptotically bounded, extinction, non-persistence in the mean, weak persistence, and persistence in the mean are established.