Sentence examples for decreasing hence from inspiring English sources

Since is decreasing, hence there exists such that (2.6).

Since (p:(alpha,beta)rightarrow 0,infty)) is a differentiable log-concave function, by Proposition 2, we know that the function (log{p} )^{prime}(x)=psi^{prime}(x),quad xin{ alpha,beta)}, is monotone decreasing, hence psi^{prime}(x leqslantpsi^{prime}(t),quad forall {t}: alpha< t leqslant x, forall {x}: alpha< x< beta.

Shvets and Hayakawa (1998) indicated that when the Sun,s activity decreases hence the reflection height increases.

Therefore, the secondary network nodes' transmit power decreases, hence increasing the secondary system outage probability.

The results demonstrate that as the compression pressure increases the porosity decreases hence close-packing TiO2 NPs.

Notice that the 'width' of the wavelength band decreases (hence less sensitive to wavelength change) with increasing annealing temperature.

As CW value increases the collision probability and the number of retransmissions decreases, hence, we have less energy waste.

Besides, the fragmental defects increased as the number of polygonal edges decreased, hence the polygonal pin profiles were unsuitable for dissimilar FSW butt joints.

During the progress of AD, the level of acetylcholine (ACh) decreases; hence, a therapy using inhibitors should be of some benefit to the patients.

As it is observed, by increasing the SINR constraint, the rate of users decreases; hence, the total throughput of users decreases.

The oil gas residence time in the disengager is decreased; hence, this reduces secondary cracking and improves the product selectivity (Xia 2014; Pan 2011).