Sentence examples for bound estimates of the from inspiring English sources

The lattice curvatures were used to form lower bound estimates of the geometrically necessary dislocation (GND) density distributions.

Therefore, the demographics of the database, in combination with the use of neighborhood clinics for GH treatment, make our calculated GH rates and costs lower bound estimates of the true GH prevalence and associated costs in the USA.

We used the reported number of cases of infectious syphilis among males in Toronto during this time period divided by the estimated size of the Toronto MSM population [ 28, 29, 46] to provide lower bound estimates of the expected burden of detected disease in the modeled population of 2000 men over a five year period (~50-75 ~50-75.

Moreover, new sufficient conditions for this inequality to hold, as well as upper bound estimates of the underlying constant, are presented for diffusion semigroups on Riemannian manifolds.

The method for upper bound estimates of the differences is presented.

Precisely, when the initial data decay near the maximum, we obtain the lower and upper bound estimates of the blowup time with a higher-order term of the peak of initial data.

A new expression for predicting strain at fracture has been proposed that provides a lower bound estimate of the test results derived in the current study.

This allows thickness testing on a member within an older structure to be used in determining a conservative (i.e. lower bound) estimate of the remaining wall thickness of the member, rather than in finding patterns of corrosion.

Unlike helium, the retained hydrogen levels are somewhat sensitive to composition, reflecting primarily different levels of diffusional loss, but hydrogen is still retained at rather high concentrations, allowing a lower bound estimate of the hydrogen generation rates.

In the process of proving the main results, the nonlocal term, which reflects the reality of the model (1.1), will cause a difficulty when we establish a lower bound estimate of the maximum modulus of the solution of the regularized problem.

Consequently, the energy estimate presented in Table 1 can be considered a lower bound estimate of the energy required for food production, consumption, and disposal.