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A substantial simplification results for the modelling of the system and the analysis.
The parabolic approximation for the concentration profile inside a particle yields a substantial simplification in computations.
The Berger-type approach suggested in this paper leads to a substantial simplification in the analytical and computational efforts without producing any appreciable change in the final results.
This approximation yields a substantial simplification of analysis and computations and does not require any iterative and trial-and-error calculations.
Therefore, an integrated design of wind turbine and HVDC link control can lead to a substantial simplification of the off-shore rectifier.
This approximation makes substantial simplification possible, for instance in the case of a batch reactor, it allows a naturally sixth order system to be approximated by a two dimensional manifold for the dynamics of two modified Thiele moduli.
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In general, designing controllers for UUVs manoeuvring involves substantial simplifications to the non linear UUV dynamics.
If the classical, linear and memory-less summation rule according to Palmgren/Miner is adopted and the underlying stress process is ergodic substantial simplifications can be reached.
For the characterization of structure-borne sound sources with multi-point or continuous interfaces, substantial simplifications and physical insight can be obtained by incorporating the concept of interface mobilities.
With the introduction of the concept of interface mobilities, substantial simplifications can be obtained for vibrational source characterization and the description of the associated transmission process involving multi-point or continuous interfaces.
It is possible, fortunately, to make substantial simplifications when i) the concentrations of both enzymes are much lower than the initial concentration of the substrate protein, or ii) the enzyme-substrate association and dissociation rate constants are much larger than the catalysis rate constants (see details in Note S1).
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