Sentence examples for derived here is from inspiring English sources
The performance of the control scheme derived here is illustrated through numerical simulations.
The performance of the control laws derived here is demonstrated by numerical simulations.
The nanostructural enhancement effect derived here is consistent with some other existing approaches including the strain gradient elasticity theory and the modified couple stress theory.
Due to the consideration of the transverse shear effect in the current model, the solution for the normal (peel) stress derived here is different from that provided in an existing model using the Bernoulli Euler beam theory-based classical laminate theory, even though the solution for the shear stress obtained here is the same as that given in the latter.
This paper aims at providing a systematic overview of all these models, showing that whereas the non-linear head-based advection-diffusion model, an original version of which is derived here, is in fact conservative, also the discharge-based model, which in principle is not, remains de facto conservative if integrated over a space-time grid with sufficiently small spatial cells.
The scheme derived here is designed to meet the required data rates exactly, thus ensuring a fair performance apportionment to both users and service providers, with the best utilization of the network resources (minimum power expenditure and good spectral efficiency).
Based on the Lyapunov stability theory, we prove that the theoretical results derived here are effective.
Comparing with previous approximate solutions, the approximate solutions derived here are more accurate with respect to established exact solutions.
When the closed form solutions derived here are compared to finite element results for the thin shell problem, very close agreement is observed.
The results derived here are important prerequisites for the treatment of the physically more interesting case of second-order systems (see part III).
Assuming that one member of each homologous pair was of maternal origin and the other was paternally derived, here was an event that fulfilled the behaviour of genes postulated in Mendel's first law.
