Sentence examples for mean are established from inspiring English sources

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

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

When the noise is large, the infective decays exponentially to zero regardless of the magnitude of R 0. When the noise is small, sufficient conditions for extinction exponentially and persistence in the mean are established.

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

Heat production values vary with location, and in order to keep value distributions manageable taking the mean is established to be the most effective approximation, and provides a relatively realistic representation of true values.

For the neutralizing bioassays, a cut-point of 99% lower bound of least square mean was established for the ITP population.

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.

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