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However, differences of approximately 8% between the functions are observed if the long term fits are extrapolated by 2 decades to creep times in excess of 3 years.
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where ⌊ ⌋ indicates that the difference between the functions is not permitted to become negative.
The principal difference between the functions is that for a given slope at the inflection point the error function approaches the asymptotes most quickly, with the logistic, square root, arctangent and absolute sigmoid functions approaching progressively more slowly; the double exponential function approaches more slowly near the inflection point but more quickly in the tails.
The relations between these functions are (5.14).
For, a subset is called -zone (stagnation zone with the deviation ) of if there exists a constant such that the difference between and the function is smaller than on.
Moreover, by assessing the distribution of decision variables, the variables that play a major role in trending between the objective functions are found.
For each the function is continuous between the graphs of and except over the lines,, where,.
Comparison between these functions was made using the Wilcoxon and log rank tests.
The largest difference between the distribution functions is 0.19, which is considerably smaller than the differences in Fig. 4 and the left panel of Fig. 5.
Finally, the relationship between the objective functions is studied.
However, the distinction between the two functions was not clear enough in Landry and Bourhis.
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CEO of Professional Science Editing for Scientists @ prosciediting.com