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The applicability of the Palmgren Miner linear damage rule is restricted to the range of stress amplitudes for which damage is indeed a linear function of the number of the applied load cycles.
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It can be shown that the double derivative of any TB function is indeed a linear combination of other TB functions.
is indeed a linear space.
Note that T2m is not a linear function of EVI.
And, linear approximation tells us, oh, we can do as if our function is just a linear function of x and y.
Indeed, the catalytic activation energy is a linear function of the work function [33 35].
Obviously, the foregoing diagnosis is anathema to the prevailing growth ethic, the belief that wellbeing is a linear function of income and political correctness pertaining to population policy.
Note f(x) is a linear function of Φ x) but may be a non-linear function of x.
The former is a linear function of sequence length, and the latter is an exponential function of sequence length.
5) A. Travel time is a linear function of travel distance, so 20,000 extra miles will lead to more time in the air than 10,000 extra miles will.
It provides a methodology for optimizing an output given that is a linear function of a number of inputs.
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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