Sentence examples for and hence the correlation from inspiring English sources

As exactly half of each of the projection signs were originally matched and half were different, their product can flip exactly and only half of the signs and hence the correlation result is another perfect array.

To understand the nature of the relationship between the distance between stations and overlap of service area for 800-m walking distance for consecutive stations, the data were disclosed using scatter plot (see Fig. 2) and generally it showed the presence of a linear relationship, and hence the correlation coefficient was calculated to estimate the strength of the relationship.

This was done so that two markers at similar genomic positions could be included in the low-density panel if they were not in LD and, hence, the correlation between their genotypes was low.

Pearson's correlation between the baseline SOBDA weekly scores and the CRQ-SAS dyspnoea domain score was −0.68 (higher scores in CRQ-SAS, contrary to SOBDA, indicate less dyspnoea and hence the correlation is negative).

The Goldmann size III target has the diameter which subtends 0.431° of visual angle which corresponds to the sampling window of the adaptive optics and hence the correlation has the potential for fine retinotopic precision.

The sampling window that we have used with the AO image processing is 0.1 mm, and hence the correlation has the potential for fine retinotopic precision as seen in Figure 1.

The CHTC values for the windward roof and, hence, the correlations presented here, for a given terrain, are largely insensitive (less than 5% change) to variations in roof slope (from 20 to 45°) or small changes in wind direction (up to 20° from the normal to the eaves).

As a result, for all probes within any local interval, at most one probe can be called significant (assuming no ties) under this rule, and hence the positive correlation among probes is compensated.

Graphical exploration showed the discrepancies between the UK, non-UK and All correlations reflected differences in the overall means of UK and of non-UK on the Part 1, Part 2 and PACES measures, and hence the 'All' correlations contained two separate components, one reflecting within group correlation and the other reflecting between group differences in means.

We find that the simple breakout by NLCD forest type did not improve correlation statistic values, but did result in reduced variations around the mean and hence the newly stratified correlation line falls closer to a 1 1 line for the Evergreen forest stands (data not shown).

At d opt, the combined effect is maximized, while the contribution of Link 2 energy tends to be smaller when d 1 - d 2 < d opt (In this case, the p e value is already very small and hence the contribution of correlation is fully exploited).