Sentence examples for bound of the density from inspiring English sources

The diameter of H is bounded by k;   2. the lower bound of the density of H is (frac{|H|-k}{2}), which makes community cohesive with its size increasing;   3.

In Section 3, we derive some uniform bounds of the higher derivatives independent of the lower bound of the density.

In Section 2, we derive some uniform estimates for the proof of the main Theorem 1.1, which do not depend on the lower bound of the density.

There are three key steps in the proof of Theorem 12: (i) represent the density function of the product Z n in multiple integral form, (ii) estimate the lower bound of the density function by truncating the two tails of this integral, and (iii) apply Krein's criterion for the Stieltjes case.

Indeed, the upper bound of the density ρ plays the essential role in our proof.

The above remark plays a key role in the proof of the upper bound of the density ((m,n)).

By virtue of Lemmas 2.1-2.5 2.1-2.5ld conclude that sup 0 ≤ t ≤ T ( | ρ ε | H 1 + | ρ t ε | L 2 + | ( u ε, weε ) | H 1 ) + ∫ 0 T | ( ( ρ ε u ε ) t, ( ρ ε u ε ) t ) | L 2 2 + | ( u x x ε, w x x ε ) | L 2 d t ≤ could emphasize that concludeothatpend on the parameter ε, i.e., the lower bound of the initial densupy.

The general performance characteristics of the phosphoric acid water electrolyzer system are discussed, from which the lower bound of the operating current density is determined.

We estimated the minimum ages of transference from bacteria to ancestral members of the Pezizomycotina based on the lower bound of the highest posterior density (HPD) interval.

The interpretation of a long time co-occurring is also consistent with the estimated lowest age of colonization of the F. coelebs (0.37 My for the lower bound of the 95% highest posterior density interval; node C, Figure S3).

< > Lower and upper bound of the 95% highest posterior density (HPD) interval.