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In this statement and in what follows, a≲b means that there exists a constant c>0, not dependent on the paths under consideration, such that a≤cb.
Smoothing helps to avoid jerky movements in the beginning of learning and also influences the process of learning, as in Q learning with function approximation, which we are using here, the convergence pattern is dependent on the paths performed during learning.
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Properties only depend on states, but work is path dependent (depends on the path taken between states); therefore work is not a property, and not a state variable.
So, I've shown you that if we took a random force, the work done is dependent on the path.
In exchange for simplifying the path sampling, each classical path's contribution gains a determinant term dependent on the path and its environment.
For a particular device type, the latency of route discovery is directly dependent on the path length.
As light travels down this long path, hits a mirror and reflects back, the amount of time the light spends on its journey is dependent on the path length.
The amount of absorption per wavelength band is dependent on the path that the light travels, δ, and what will be referred to as the extinction coefficient ( {mathrm{k}}_{uplambda_{mathrm{i}}} ) [17].
This does not mean we have to give up since future paths cannot be certainly known, therefore we may estimate future paths, hence future control values, in order to attain optimums as the controls are dependent on the path control.
In models with high Q P in L3, the amount of Δt* is much more dependent on the path length in the low Q P layers because the increase in Δt* due to the high Q P layer is relatively small.
It illuminates a Michelson-type processing interferometer, which modulates the spectrum at a frequency dependent on the path length difference.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com