Sentence examples for our analysis requires from inspiring English sources

Our analysis requires several additional simple technical lemmas involving the projection operator.

This is the reason why our analysis requires less state variables than that presented in [10].

This means that our analysis requires data from the upper ionosphere (above the E region).

It is also noted that our analysis requires large enough ensembles of primary and tertiary structures that meet conditions on sampling, |A| |A*| = 400≪|SA|, and on entropy balance between source and destination, H(A)≈H(A*).

Our analysis requires ≥92% sequence identity during contig assembly (Huang et al. 2003).

Below, we show that this fraction is stable when changing the probability thresholds that our analysis requires.

Our analysis required every tree, rock, shrub, pathway, seat, person and sky region to be automatically segmented out and then data from these regions collated.

A number of limitations of our analysis require discussion.

A number of limitations to our analysis require careful consideration.

Inclusion of the entire range of YSM in our analysis required the adaptation of the equation for the BMD dynamics.

Kappa scores were not used, given that our analysis required comparing multiple data points paired by the individual facilities assessed, instead of a comparison of aggregate, unpaired data.