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After linearization, (20) relates the phase estimate to the actual phase and the additive noise.
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The nonlinearity arises from the constitutive relations relating the phase relative permeabilities and capillary pressure to the phase saturations.
We use a model of axisymmetric flow driven by an imposed head oscillation through a single, laterally extensive, confined, homogeneous and isotropic aquifer to relate the phase response to aquifer properties9.
In addition, surprisingly simple theoretical approaches can be used to make quantitative predictions that relate the phase diagrams and the dynamic response to specific material parameters.
We have found that by using silicon as an internal standard reference surface we can unambiguously relate the phase lag to local viscoelastic properties of a polymeric material.
Figure 6c relates the steady-state phase of neuron A with the network period.
The three-phase capacitance model combines series and parallel capacitance connections among gas, liquid and solid components to relate the three-phase permittivity to each phase holdup.
The challenge of optimizing water content intimately relates to the phase segregated aqueous domains of the hydrated membrane.
This clearly relates to the phase change of the core lipids.
Theta rhythm entrains hippocampal pyramidal neurons; the spiking rate of place cells relates to the phase of theta rhythm (O∼Keefe & Recce, 1993; Skaggs et al., 1996).
By relating the gas phase adsorption energy to the electrochemical electrode potential, we provide a direct link between surface science and electrochemistry.
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