Sentence examples for minimum by applying from inspiring English sources

Therefore it was kept to a minimum by applying syringe washes and using blanks between samples.

Since every efficient solution is a weak minimum, by applying Theorem 2.2 of Weir and Mond [14] for (x^ ), we see that there exist (gammain R^{k} ), (uin R^{m} ) such that begin{aligned}& gamma^{T} nabla fbigl(x^ bigr)+u^{T} nabla gbigl(x^ bigr)=0,qquad u^{T} gbigl(x^ bigr)=0, & uge0, qquad gammage0, qquad gamma ^{T} e=0, end{aligned} where (e=(1,1,ldots,1)in R^{k} ).

Alternately, it can be chosen as the sensor with the minimum power (or by applying localization algorithms).

With realistic assumptions on minimum distance and by applying appropriate propagation models, the propagation loss can be determined.

We also used BioNJ (Gascuel 1997), which iteratively reduces the variance of distance estimates for a minimum evolution tree by applying weighted averages.

Then, the influence of local minima is evaluated by applying the numerical procedure on fictitious measurements generated from a model with known parameters.

Therefore, with proportions of improvement in HRQoL of 42.5% for the placebo group and 57.5% for the vitamin D group, and using the same error probabilities in a unilateral contrast, a minimum of 137 patients per group (a total of 274 patients enrolled) are estimated as the minimum sample size required by applying the arcsinus approximation.

The EIS spectra were measured by applying minimum overpotential from equilibrium potential and fitted to the proposed equivalent circuit.

The problem of molecule linearization is tackled by applying Minimum Volume Embedding in combination with a Diffusion Kernel to the molecular graph [1, 2].

Besides, the standard approach yields spherical particles, but it has been shown that other geometrical shapes can be obtained by applying minimum modifications to existing protocol [21 23].

Additionally, determination of appropriate analysis window size and resolution to define minimum mapping units (MMUs) by applying geospatial statistics approaches such as semivariography of carbon estimates or field data can inform the most suitable resolution for forest and biomass mapping.