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These scenarios are further solved by genetic algorithm and the results reported in Table 4.
These equations are further solved for determining the steady-state availability of crystallization unit.
The MDR decomposes the PPF problem into lower dimensional PPF subproblems which are further solved with promising accuracy.
In section "Governing equations", Chapman-Kolmogorov equations are constructed for the transient state to develop Markov model which are further solved numerically based on the Runge Kutta method.
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With the help of the collocation method, the governing equation is further solved numerically.
The optimal path is obtained by constructing the Hamiltonian, which is further solved using Pontryagin"s principle associated with the control problem.
The boundary value problem is reduced to a Cauchy integral equation by a new mapping function and the complex variable method, which is further solved exactly.
A population balance equation corresponding to the physical changes in an experiment was established and was further solved using the highly accurate moving sectional method.
The controller design problem is further solved by means of the linear matrix inequality skills, and the mode-dependent controller gains are obtained via convex optimization tools.
To gain insight into the substrate-binding mechanism of RmMan134A, four complex structures (RmMan134A M3, RmMan134A-M4, RmMand34A-M5 and RmMan134A-M6) were further solved.
Then, based on the obtained passivity conditions, the passification problem is further solved by designing a mode-dependent state feedback controller.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com