Sentence examples similar to previously mentioned equation from inspiring English sources

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Most of the success in finding SRJ optimal schemes with more than 10 levels is based on an analytic reduction of the complexity of the previously mentioned system of equations.

The linear dependence of the peak area ratio versus the concentration of the drug was shown by calculation of the regression equation previously mentioned.

The GScore is defined as a combination of the similarities (S) of the four descriptors previously mentioned, as stated in the following equation: begin{aligned} GScore = SDist*D_{p} + SNbE*C_{p} + STsp*T_{p} + SSc*S_{p} end{aligned} (1).

Motivated by these studies, we employed the tanh-coth method to investigate new travelling wave solutions for the equations that were previously mentioned.

Of the previously mentioned models, the Adachi Lu and del Valle Aguilera equations provided, in general, lower average error than the other models.

The governing equations (Equations 1 to 25) of the comprehensive model subjected to the assumptions previously mentioned in the mathematical model are solved for different processes of the engine cycle.

As previously mentioned, the adjustment steps, which cannot be performed due to the restriction of Equation (8), are scheduled and performed asynchronously.

The previously mentioned Technical Report describes the model in detail, including model structure, key equations and data inputs, by market agent group.

Furthermore, instead of adopting the commonly used finite difference approximation, we make use of sensitivity equations to evaluate the gradient of the objective function in the optimization procedure, previously mentioned in (28).

Motivated by the previously mentioned topic, and since the results of the partial stochastic asymptotic stability of neutral stochastic functional differential equations with Markovian switching are very few, we make the attempt to study this topic to fill the gap.

The frequency equation is generated by means of the Rayleigh-Ritz method and the resulting upper bound is minimized with respect to the previously mentioned exponential parameter.

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