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We describe the considered mathematical framework in Section 2, where we adopt a state-space representation of the processes.
The authors in [4] propose a mathematical framework in which they vary adaptively the constellation size of an MQAM modulator in order to maximize the single user throughput.
For that purpose, we have developed a mathematical framework in which communication networks are modeled as physical systems, where their entities exchange electromagnetic energy.
This new scenario requires a mathematical framework in order to justify its application to the solution of numerical problems and the PGD can help in the change to this paradigm.
The Walsh functions are defined in a uniform piecewise-constant fashion, building intrinsic compatibility with discrete clocking [54] and classical digital logic, and have previously been identified as providing a powerful mathematical framework in the context of quantum control sequencing [51].
However, our model provides a mathematical framework in which the concept of a two level mechanism (Figure 7) for the induction of differentiation is consistently embedded.
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The heavy demands ofa description of regulatory processes from this viewpoint have led researchers away towards simpler mathematical frameworks in which key experimental measurements are combined with heuristic concepts of metabolic function to make predictions of metabolic fluxes.
He formulated the theory of lubrication (1886) and in 1889 developed the standard mathematical framework used in turbulence work.
The mathematical framework presented in this paper can be an important tool in furthering the understanding of the mechanisms causing compromised healing and can be applied in the design of future fracture healing experiments.
We now advance the main mathematical framework used in this paper to study filter design, pulling together the ideas introduced in the previous sections.
By using the mathematical framework presented in [28], the ETTR can be computed as: text{ETTR} = frac{1}{T}sumlimits_{d(0)=0}^{T-1}minleft{t_{r}:S_{T}(t_{r})=S_{R}(t_{r})right}.
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