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"Ecce Cor Meum" does best when it approximates simple songfulness, whether in a vocal line or an oboe solo.
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Approximating simple curve using polynomial curve suffers with Runge's phenomenon [42 44].
Variables of the three-dimensional equations are separated assuming approximate simple supports along the cylindrical perimeter, yielding non-orthogonal eigenfunctions.
Nearly all items (but item 43) revealed to be unidimensional indicators of the six factors, approximating simple structure with only small cross-loadings on other factors.
We suggest modified Patankar-type methofs ofirstst- and second-order in time and compare their performance by means of approximating simple linear and non-linear model problems.
An approximate simple expression is also proposed to predict the fundamental frequency of the partial-interaction composite members with axial force, which is of practical interest.
An approximate simple form for the steady-state Kalman gain is used to derive an expression for the equivalent loop bandwidth of the Kalman filter as a function of the process and observation noise variances.
An approximate simple physical model for C was suggested and was well compared with the analytical result of Kendoush, which likely is the only available theoretical result in the literature, up to date.
Orthogonal rotations best approximated simple structure for these 2 new factors.
Orthogonal and oblique rotations were explored to best approximate simple structure when extracting more than one factor.
We did not apply thinning of the chains, following the suggestions of Geyer (1992), Maceachern and Berliner (1994), and Link and Eaton (2012), who provide justification for the ban on subsampling MCMC output for approximating simple features of the target distribution (e.g., means, variances and percentiles), since thinning is neither necessary nor desirable, and unthinned chains are more precise.
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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