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(e): Shown is the value of θ needed for the probability of the walker being at the end site of the lattice to be double (top line), triple (middle line) and four times (bottom line) the probability of being at the previous site.
The bottom-line review?
In the course of this, however, we did some 650 trials and the bottom line showed beyond any chance probability that people were acquiring more information in this process than you could possibly do than just by guessing.
Perhaps most importantly, their ratings have only one bottom line: they measure the probability that company will default in repaying its debt in full and ontime.
Figure 1a shows the predicted probability of making a donation for someone in good health (upper line), someone in bad health (bottom line), compared with the predicted probability of making a donation for an average person (middle line; estimated at the mean of all variables).
The bottom line remains that, in all probability, entrusting his wealth to a team of professionals to run in a blind trust might not be such a bad idea, especially if they don't charge him much in fees.
Bottom line: once a person has been indicted his/her probability of winning at trial is only 7/10 of one percent.
THE BOTTOM LINE Average these four scenarios together and the probabilities come out to almost exactly 50-50.
"I mean, bottom line".
The bottom line here?
The bottom line?
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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