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However, the characteristics of the membrane reactor unit (and individual membrane and reactor units) were determined using a mathematical model provided by SINTEF.
It is also shown that global optimality can be achieved from the proposed mathematical model, provided that the wing is constructed from piecewise uniform portions having not-equally spaced lengths and different torsional rigidities.
The mathematical model provided descriptions about the influence of the loading rate and the natural frequency of the testing system on the magnitude of system ringing and its decay rate.
In all samples, the mathematical model provided an adjustable behavior and perfectly fitted the data.
Moreover, the effect of the local microenvironment can be adequately described by the mathematical model provided.
The development of this mathematical model provided insight into the factors contributing to the collected signal.
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The mathematical model provides predictions about the limit state of composite material.
The mathematical model provides detailed information about cell performance for a wide range of operating and design parameters.
The proposed system configuration and associated mathematical model provide theoretical basis and useful design techniques for practical applications.
The proposed mathematical model provides a theoretical basis for multi-channel heat exchangers in solving the problem of flow maldistribution.
The energy dissipation structure and the optimum number of clusters in HWSNs are also obtained under a mathematical model, providing the guidance for designing the clustering protocols.
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