Sentence examples for proved previously that from inspiring English sources

Then it follows from the sufficiency of Theorem 3.3 which was proved previously that (I_{p}(x)< [ (x^{p}+b )^{1/p}-x ]/a) for all (p>1) and (x>0).

It has been proven previously that the RGD peptide could influence the surface hydrophilicity [ 38].

Furthermore, it has been proven previously that reactive immunization of KLH itself suppressed and mitigated DN in diabetic rat.

Hence, as is proven previously, we infer that is nonnegative on.

A dual aspect of search is to try to look for a previously proved result that could be useful in the completion of the current proof.

We previously proved that silencing of Hec1 inhibits cell growth and induces apoptosis in human PCa cell lines.

Health officials said the bacteria that killed her proved indistinguishable from that previously seen, notably the potent strain sent in a letter to Senator Tom Daschle.

Four percent of our ARDS patients (n = 17/423) were eventually classified as having proven or putative IPA, which is less than the 13 % prevalence of proven IPA that was previously reported in an autopsy study of 64 patients with ARDS [15], likely due to differences in case-mix and methods between this study and ours.

The proof is achieved by Theorem 5 and the previously proved fact that the new fractional sums and differences are the inverses to each other.

Previously Clement et al. proved that DA-induced cell death is not specific only for neuronal cells but also for the rat pheochromocytoma cell line (PC12) and the M14 human melanoma cell line.

The performances, from actors who have all previously proved that they can shine, are decent enough, but this is a play that needs knockout acting if its trio of unlovely characters are to be compulsively fascinating and Barry's fall achieve a tragic grace.