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It is not only a sharp quantitative extension of Figiel's theorem, but it also unifies, generalizes and improves a series of known results about stability of ε-isometries.
In situ hybridizations on retinal cryosections and dissociated retinal cells allowed for validation and quantitative extension of the observed heterogeneity in the microarray data.
A quantitative extension of the qualitative research of e.g. Bosk et al. would be welcome [ 31].
A model (Additional file 4) was constructed which basically is a quantitative extension of Fig 2 in Excel (Microsoft® Office Excel 2003 (11.8220.8221) SP3, Microsoft Corporation).
Another important goal is to identify the biomarker providing the most accurate information about the quantitative extension of brain damage and representing a reliable marker for the evaluation of therapy effectiveness [ 6].
The former two tools utilize different statistical tests as well: EpiGPU performs an F-test, while EpiGPUHSIC is a quantitative extension of the Hilbert-Schmidt Independence Criterion (HSIC) (Gretton et al., 2005), which uses the correlation coefficient difference between cases and controls, as an approximation to the significance of the interaction term.
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The aim of this paper is to provide complementary quantitative extensions of two results of H.S. Shapiro on the time frequency concentration of orthonormal sequences in L2(R).
Double-hydrophilic block copolymers (DHBC) containing neutral polyacrylamide and ionizable poly vinylphosphonic acid) blocks were directly synthesized by quantitative chain extension of a polyacrylamide macroxanthate with vinylphosphonic acid.
Quantitative primer extension was performed as described [ 10].
For the analysis we used a quantitative primer extension technique [ 10].
The significance of the microarray data was substantiated for selected examples by qRT-PCR and quantitative primer extension analysis.
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