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In order to find appropriate values of α, we apply Equations 8 and 10 to find the minimum values to define mainly two classes (low and average).
To properly assess the effect of mutation bias and selection by the host translation machinery, it is important to apply Equations 3 and 4 to phage genomic segments with relatively homogenous mutation bias.
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In order to apply equation (4), one must solve for x, not for its second derivative x″.
We apply Equation 21 of the PAPR distribution with N=1.
Binning allows us to estimate the conditional expectation of the dependent variable given the independent variable, i.e. apply equation 6.
Then we can acquire more data points and apply Equation (5 ) to quantify the difference.
We apply Equation (4) to deduce experimental dissociation energies D n,exptl from the measured ion yield.
We then apply Equation (4) to normalize the values of the Exp-matrix and adapt them to the actual upper bounds.
Hence, to apply Equation (1), which assumes constant time steps, it is necessary to sample the stochastic time series at regular time intervals.
One proven approach is to group the ordered gene list into M bins and apply equation seven for M M-1) iterations.
But by applying equations called scaling laws, the researchers can measure the swings of fortune of countries, companies, and molecules.
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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