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Optimal operations are identified analytically for three specific product-inhibited fermentations via classifications of the multi-dimensional parametric space based on differences in bioreactor behavior.
The logistic kernel machine, first proposed by Liu et al. [38] for analysis of genome-wide expression profiles, may be the first unified approach for multi-dimensional parametric and nonparametric modeling of the pathway effect.
So it was a multi dimensional challenge.
Poverty is multi dimensional.
We show that the random-walk approach is especially suited to generate parametric multi-dimensional T1/T2/D NMR maps to improve the characterization of pore structures and saturating fluids.
In other words, the initial 37-dimensional parametric space becomes the restricted b-dimensional parametric space.
Three-dimensional parametric mesh models were created to examine localized alterations of hippocampal morphology.
Several examples are given and show clearly the effects of the non-linearities and of the random parametric excitation for multi-dimensional systems.
A large class of multi-dimensional non-linear Hamiltonian dissipative dynamical systems under parametric and external random excitations is studied.
Furthermore, angular measurements may be combined with other modalities, such as Doppler, delay, delay-difference, polarization, received power, etc., necessitating a multi-dimensional (M-D) approach to direction-finding, location determination, or parametric MIMO channel modeling.
Massively univariate regression and inference in the form of statistical parametric mapping have transformed the way in which multi-dimensional imaging data are studied.
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