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"No two cities in the world do their maps to the same scales, with the same legends; there is no agreed upon way for doing a border around a city," he says.
Unexpectedly, the scaling range for acoustic bursts not only covers this range but spreads to much shorter time scales with the same scaling exponent.
We expect that the corresponding closure is able to account for the specificities encountered in high Mach number turbulent reactive flows featuring chemical reaction time scales with the same order of magnitude as flow time scales.
The variance between countries with respect to the attitudinal traits would appear to vary somewhat across scales, with the largest variability occurring for the Future A (FUTA) scale, and the lowest for the Environment (ENV) scale; moreover the variances within country are also noticeably different across scales, with the same scales occupying the extremes.
At the given level L, there are 2 L scales with the same length as the input signal's.
The latter conclusion is also supported by the observation of good and bad functioning scales with the same number of response categories (Tables 3 and 4).
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The color scale is scaled with the same factor as the projection data.
The transfer coefficient K estimated to ~ 10-20 m3 s-1[11] halsolso been scaled with the same factor 106: K = 10-14 m3.s-1.
Therefore, a white or a flat image (whose pixels have the same gray scale) with the same size as the input image (512 × 512 pixels herein) is used as the noiseless signal.
This indicates that an effective audio watermarking algorithm for DA/AD conversions should be robust to the attack combined with TSM, volume change (the samples in magnitude are scaled with the same factor) and additive noise.
For volume change operation (all samples in value are scaled with the same factor), we have δ1 = δ2 = δ3 = 0 and μ > 0. It indicates that w(i) can be recovered correctly under the linear change of audio amplitude.
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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