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On the plus side, they actually delivered something listenable, even if it is a slightly more grey-sounding approximation of the first album.
We study how the anisotropy of the effective mass tensor acts on the uniform approximation of the first K eigenvalues and eigenvectors and their sequential arrangement.
The approximation of the first order derivatives is first considered and analysed with respect to the transfer of the stability properties of the transport component from the PDE model to its approximated ODE (ordinary differential equations) model.
Nevertheless, it is able to compute a good approximation of the first two moments.
This is also reflected by the good approximation of the first two moments, see Table 9.
As argued earlier, the CFO estimator of (13) or (14a) is an approximation of the first order level.
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In short, an approximation of the second derivative of the images was first calculated with a LoG filter.
Using the received microphone signals, an approximation of the second-order statistics can be obtained from a block of input data of length.
By computing a particular solution of the linear system for an approximation of the second-order derivatives (f_{xx}), we arrive at the parametric representations presented in Fig. 1.
The use of small perturbation around steady-state leads to important simplification to the evolution equation, which can be highly non-linear (Eq. 1), resulting in the approximation of the first-order term.
Product diffusion was modeled numerically using a second-order, centered difference approximation of the second-derivate.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com