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It is shown that based on Rindel's approximation one may determine some substantial information about sound reflection from the panels i.e. the value of upper limit frequency as well as the relative sound reflection level.
Based on this normal approximation, one can perform hypothesis testing, construct confidence intervals and, in particular, calculate the standard error (SE) of each component (hat {boldsymbol {theta }}_{j}) of the MLE (hat {boldsymbol {theta }}) as follows: SE(hat{boldsymbol{theta}}_{j})=sqrt{n^{-1}hat {mathbf{J}}^{jj}}, quad j=1, ldots, k, (4.36).
Then based on the obtained optimal power allocation using this approximation, one can use Monte Carlo simulations to evaluate the "real outage" (corresponding outage probability performance given by F(P1)).
Newton marked a real discontinuity by formulating an approximation of reality that united all motion, and all matter, in the heavens and on Earth, but even this marvellous and enduring achievement remained an approximation, one replaced by Einstein's theory of general relativity which itself, Weinberg says, is doubtless an approximation to a more satisfactory theory.
Using the derived approximation, one obtains different window sizes for different sets of DNA motifs depending on their similarities.
As a first approximation, one can assume a single homogeneous active monolayer of the catalyst film on the electrode surface.
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The numerical code to simulate the SBWR performance considers a one-dimensional thermo-hydraulics model along with non-equilibrium thermodynamics and non-homogeneous flow approximation, one-dimensional fuel rod heat transfer.
A simpler approximation, one-term expected value normalized bias approximation, ENBA(1), bias ≈ E Ŝ x ( f ) − S x ( f ) E Ŝ x ( f ), (15). is also suggested.
The hybrid difference method is composed of two types of approximations: one is the finite difference approximation of PDEs within cells (cell FD) and the other is the interface finite difference (interface FD) on edges of cells.
Finally, following these successive approximations one finds the Hamiltonian given by the equation Eq. (1).
The benefit is that after the initial approximations, one has a rather rigorous measure of the similarity of pieces of proteins.
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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