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LPP is a linear approximation of the nonlinear Laplacian Eigenmap [24].
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It should be noticed that (7) is a linear approximation for function of (hat {theta }), and hence, it is found that (f(hat {theta })) can be approximated by a Gaussian variable.
The above description of the basilar membrane transfer function is therefore taken to be a linear approximation at high levels of sound pressure.
The method is based on a linear approximation of spatial gradients expressed with the volumetric tensor, which is a 3×3 matrix determined by a geometric distribution of the points.
The analysis is based on a linear approximation of the nonlinear dynamics.
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Before summarising the differences in outcomes we note that they come about due to the fact that while we study the non-linear system (1) the results in [17] are obtained using a linear approximation of (1).
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With a number of sensors N at least equal to 3, it is possible to get a linear approximation of P ′ through a linear regression.
The 24 month difference in mean age between the controls and CL/P group is small enough that a linear approximation of shape change with age removes the vast majority of age-related shape variation.
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