Sentence examples for further this implies from inspiring English sources

(3.13) Further, this implies that lim_{nrightarrow infty} Vert x_{n}-w Vert ^{2} =lim_{nrightarrow infty} biggl( Vert x_{n}-w Vert ^{2}+rho Vert A Vert ^{2}cdot frac {1+sqrt{k}}{k}cdot Vert x_{n}-y_{n-1} Vert ^{2} biggr).

Further this implies that ⋂ i = 1 ∞ F ( T i ) ⊂ C n + 1 and hence ⋂ i = 1 ∞ F ( T i ) ⊂ C n for all n ≥ 0. Since ⋂ i = 1 ∞ F ( T i ) is nonempty, C n is a nonempty closed convex subset of E and hence Π C n exists for all n ≥ 0. This implies that the sequence { x n } is well defined.

Further, this implies that our results may underestimate how often a nurse may substitute the GP.

Among further indications, this implies that the final morphotectonic uplift of the Lausitz Mountains started in the upper Lower Pleistocene (~ 1.3 Ma) due to revived subsidence of the nearby Zittau Basin.

It warrants further investigation whether this implies different significance or functions of these two genes for primary alcohol production in C. beijerinckii.

This implies further that instead of asking the entire deficit for the rest of LICs from the HICs, if a mechanism like this had been followed in resource fundraising and disbursement, the burden of HIC citizens could have been reduced even further and would be even fairer.

This implies that further optimisation can be ascertained through improved membrane contactor design.

This implies that further processing is needed to discriminate object contours from texture edges.

This implies a further procedure for the development of individual mathematical models.

This implies a further decrease in number of candidate units since for many of the long (more than three phonemes) units only one candidate will be present.

This implies that further policies should be oriented to making the working environment friendly for women.