Sentence examples for hence we ordered from inspiring English sources

Hence, we ordered the surgeon to stop the procedure.

Hence, we generalize second-order and higher-order multipoint boundary value problem.

Hence, we used first order function for latitude and second order for longitude to model the PWV (Ansari et al. 2017c).

Hence, we define the order (flow) imbalance as begin{aligned} text{I}_{i,t}=frac{text{no.,of,buyer-initiated,trades}_{i,t} - text{no.,of,seller-initiated,trades}_{i,t}}{text{total,no.,of,trades}_{i,t}}. end{aligned} (5).

Hence, we define the order (flow) imbalance for stock i on day t as begin{aligned} I_{i,t}=frac{{text {No. of buyer-initiated trades}}_{i,t} - {text {No. of seller-initiated trades}}_{i,t}}{{text {Total no. of trades}}_{i,t}}.

Hence, we use higher order of the adjacency matrices to mimic random walks on these networks while keeping the nonnegative property at the same time.

Hence, we used the time ordering as a proxy for embryonic time.

end{aligned} (26d) Using approximations (26a - 26d 26a - 26dference methedifference15b) and (16a)-(16b) retain their orders, and hence we obtain difference methods of orders (O(k^{2}+h_{l}^{2})) and (O(k^{2}+k^{2}h_{l}+h_{l}^{3})), respectively, for the numerical solution of the quasi-linear equation (15a - 15b 15a - 15b

In these pds1 Δ mutants, all events other than Esp1 activation took place in the right order; hence, we are justified in considering these mutant strains to be viable.

Hence we derive the fractional-order model of PMSG from (1) with the Caputo fractional order definition, which is defined as D_{t}^{alpha} f(t) = frac{1}{Gamma (1 - alpha )} int_{t_{0}}^{t} frac{dot{f} tau )}{(t - tau )^{alpha}},dtau, (4) where α is the order of the system, (t_{0}) and t are limits of the fractional-order equation, and (dot{f}(t)) is the first-order derivative of the function.

Hence, we can interchange the order of summations in (44).