This solves the problems above, without requiring homogeneity.
end{cases}displaystyle end{aligned} (4) We study the convergence of the very weak solutions to equation (4) without the homogeneity (A x, lambdaxi)=|lambda|^{p-2}lambda A x,xi)).
Here we present a new framework for determining cell turnover in developing organs in vivo that combines cumulative cell-labelling and quantification of distinct cell-cycle phases without assuming homogeneity of behaviour within that compartment.
Assessing heterogeneity of a cohort, overall, without assuming homogeneity within the groups 'men' and 'women' should be embedded in research methodology.
This last analysis was done to examine whether the study conclusions remain valid even without the homogeneity assumption and the standard assumptions implicit in the regression models of the first two analyses (Additional files 1 and 2).
The article also appears to embrace clichés about Japanese homogeneity without pointing out recent policy changes.
The highly porous TiO2 material exhibited high specific surface area and porosity, narrow pore size distribution, homogeneity without cracks and pinholes, active anatase crystal phase, and small crystallite size.
Differences in effect sizes were observed when different reading and math tests are used; but it is difficult to make sense of these differences without information about homogeneity of variance, psychometric quality of the measures, and confidence intervals about estimated effect sizes.
Final slurry preparation steps which are reasonable only at the gasifier site are heating for viscosity reduction using the abundant waste heat in the BTL plant and by feed temperature rise by about 10 K or more during efficient colloid mixing prior to feeding to ensure homogeneity without leaving sufficient time for sedimentation.
The amorphous Ni P deposit exhibits high corrosion resistance which is attributed to its extreme structure homogeneity without preferential corrosion paths like grain boundaries or other structural defects, and the higher corrosion resistance could ensure this deposit is not easy to form "transitional interface" connecting fouling and matrix.
