Sentence examples for after simplification from inspiring English sources

After simplification into a linear system, an adaptive interval model control system has been designed.

This is solved analytically, after simplification, by a transformation of variables to a form that applies only for short distances on either side of the drop surface.

After simplification of the controlled process into a linear system, an adaptive control system has been designed to keep the NTSD constant.

A simplified method of the blade modified model is presented, based on the basic invariance principle of the mass and the moment of inertia before and after simplification.

The average deviations after simplification were 11.64% and 11.41% for the particle concentration and particle velocity, respectively, in the radial position r/R = 0 0.7, under experimental operating conditions.

After simplification, Eqs.

Making use of Proposition 8, one obtains after simplifications the equivalent condition stated in the Lemma.

With the help of [27. section 3.351.3], and after simplifications, (19) and (20) are presented.

Now, we differentiate (psi(s)) on ((a,b)), and we obtain after simplifications psi'(s)= b-s)^{alpha-4}bigl[(b-s)-(alpha-3) (s-a)bigr].

After simplifications of Eq. (2) we find that, for each d, begin{aligned} frac{drho _{d}(t)}{dt}=lambda (-rho _{d}(t)+ 1-theta (t))^{d}).

Example 4 If we put f ( z ) = ( 1 − z ) − μ and g ( z ) = ( 1 − z ) − ν in Theorem 7, we obtain, after simplifications, the following relation: (29).