Sentence examples for which ensures from from inspiring English sources

Thus (U_{t}) is a contraction, which ensures from Lemma 1.1 that there exists (x_{t}in C) such that (U_{t} x_{t} = x_{t}).

Thus (U_{t,s,r}) is a contraction, which ensures from Lemma 1 that there exists (x_{t,s,r}in C) such that (U_{t,r}r} x_{t,r}r} = x_{t,s,r}).

Thus (H_{s,t}) is a contraction, which ensures from Lemma 1.3 that there exists (x_{s,t}in D) such that (H_{s,t} x_{s,t} = x_{s,t}).

With this value, a single-voxel threshold is chosen by the FDR procedure which ensures that from all voxels shown as active, only 5% or less are false-positives [21], [22].

Rice plants immobilize trace metals in the root zone, which ensures protection from toxicity, but at the same time must mine this elemental resource for essential nutrients.

The explanation lies in the relatively faster rate of the pre-rate-determining step (CO2 insertion) which ensures that, from a mixture of monomers, catalyst 1 selects for ROCOP.

But since January 2011, the two countries seem to have collaborated in opening an alternative route - presently open only to former fighters and their families - which ensures "controlled" exodus from Pakistan.

Nuclear restructuring is very pronounced during spermiogenesis, a highly complex process which ensures the differentiation from haploid male germ cells into mature, fertilization competent spermatozoa.

One of the most important requirements for a microarray experiment is good system reproducibility, which ensures that results from different experiments can be directly and reliably compared.

Many economists would argue that the 'correct' level of tobacco taxation is that which ensures that revenue from tobacco taxes is at least equal to the costs likely to be imposed on society resulting from tobacco use (that is, those costs not borne voluntarily by smokers themselves) [ 5].

It is helpful to obtain central images, aligning with the cornea, iris, lens, and optic disc, which ensures that the images from both eyes will be reproducible and useful for comparison and follow-up.