Sentence examples for hence as indicated from inspiring English sources

Hence as indicated in the second column of Table 1, different distribution of axial loads are considered in CFBBC models.

Hence, as indicated in Figure 1, the system model can be represented as an equivalent channel with the binary vector input c and the vector soft-output r ~ 0. Figure 1 Equivalent system model.

Hence, as indicated in the proof of Theorem 6, we have the generating functions p 1 ( x ) and p 2 ( y i ) for 1 ≤ i ≤ 2 (by Theorem 4).

The plot clearly demonstrates the increase of the dependence on E ind with increasing cohesive energy, and hence surface energy, as indicated by the red linear fit line.

Hence, as previously indicated by Spencer et al. (2006) [13], explicitness at learning may not be the critical determinant of whether memories will be consolidated or not after sleep [21].

The analysis made from 2007 to 2014 indicated that PPPs have contributed to increasing access to higher education sub sector by increasing both the number of institutions and students hence rise in enrolment rate as indicated in Table 1.

Hence, the total burden of symptoms as indicated by the number of symptoms reported might be an interesting generic indicator of an individual's health or well-being, as well as his/her present and future functioning, and may be worth further investigations.

Hence the level of hyphal binding as indicated by the ELISA may be an over estimate in favour of the hyphal cells.

Hence we use an exponential distribution (as indicated by the numerical plots above) to estimate the inter-arrival times for diffusion of Mg2+ (which is considered to be a random variable) to generate the results.

Further, the increased PTEN ubiquitination in the presence of these mutants was associated with decreased PTEN protein levels and hence activation of the PI3K pathway as indicated by increased AKT phosphorylation.

Hence, mere levels of statistical significance are irrelevant, although, as indicated above, they are very high.