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This flexibility is possible because the fMRI response to external stimuli is remarkably well approximated as the response of a linear time variant system.
As discussed in Chapter 6, typical vibrating strings in musical acoustics are well approximated as linear, time-invariant systems, there are special cases in which nonlinear behavior is desired.
It appears, that the damping spectra can be well approximated as a combination of two defect peaks (C1 and C2) and one dislocation peak (D1).
For practical applications, relations between the third and fourth impulse times can be well approximated as polynomial functions, which enable analytical formulas to obtain fuel-optimal four-impulse solutions.
The true relationship between flux and streambed temperature will generally be non-linear and well approximated as a cubic function, although linear relationships may be applied when data density is low.
The somatic response can be well approximated as the sum of the excitatory postsynaptic potential (EPSP), the inhibitory postsynaptic potential (IPSP), and a nonlinear term proportional to their product (k*EPSP*IPSP), where the coefficient k reflects the strength of shunting effect.
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That is, the unnoticeably small spectrogram bins can be approximated as well as the dominant bins.
To evaluate phylogenetic informativeness as a procedure for selecting loci to sequence for phylogenetic studies that incorporate broad taxon sampling, we utilized empirical data sets for which the process of evolution may only be approximated, as well as simulated data for which we could specify the process and the true tree.
The gain curves are well approximated by Lorentzian lines as indicated by the dashed black lines in Figure 3(b).
The goal is to obtain a model that approximates as well as possible the behaviour of the process (expressed by means of the experimentally obtained data).
This asymptotic profile is well approximated by the lognormal profile as is the profile for shorter operation time if the single losses are assumed to have lognormal distribution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com