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The robustness performance of our wavelet based watermarking algorithm (presented in Section 2), which uses the relation between wavelet color coefficients, is enhanced with the help of error correcting codes.
The scaling factor β uses the relation between Fproximity(i) in (10) and the estimated distance d ij between unknown node i and reference node j as a way to attribute a higher scale factor to an unknown node closest to the reference.
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This concept allowed us to use the relation between the effective electric resistivity and the damage variable.
We then determine the TLL parameter K from the calculated correlation function by using the relation.
Taking into account these dependencies on ∆E we can fit the data using the relation.
Using the relation, we can estimate the form dimension through the boundary dimension and vice versa.
The error bars are calculated using the relation in Supplementary Fig. 2. The error bars in the figure represent a single standard deviation.
and using the relation (3.28).
Using the relation, we obtain.
Using the relation, we can write (32).
Since, using the relation (2.4), we have.
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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