Sentence examples for using this inequality in from inspiring English sources

Using this inequality in (2.39), we have (2.42).

We use this inequality in (3.6).

We use this inequality in (3.6) again.

Jensen's inequality is from 1905 (see [4, 5]) and Hardy used this inequality in many other situations.

Using the inequality in (3.5) to the first integral in (3.2) yields (3.9).

By using this relation in inequality (26), we get the required result.

Using the inequalities in the last two displays together with (180) and triangle inequality establishes (170).

Using distance allows search seeds to be pruned efficiently using triangle inequality in an ungapped extension process, contributing to the acceleration in processing.

Now, using Young's inequality in (40), we deduce (34).

For instance, the stability for first-order impulsive SPDSs was discussed by using integral inequalities in [19 21].

However, number of books is considered a suitable item when assessing cultural home environment among adolescents and widely used in inequality research in this age group [ 32- 38].