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Exact(1)
Convergence has been proven, with a monotonically decreasing training error, as shown in[3].
Similar(58)
As you can see, it is monotonically decreasing.
As shown in Fig. 5a, w1 was monotonically decreasing in the first 0.05 ns; then stabilized at about 2.5 J/m2.5
Moreover, the function ∂Nw/∂Nu ~ (Nu b−1 is a monotonically decreasing function for b < 1, demonstrating the decreasing marginal need for additional words as a corpora grows.
Thus, (F ( X_{k} )) is monotonically decreasing.
(mathrm{NEMS}) is strictly monotonically decreasing.
(2) They are both monotonically decreasing.
Furthermore, the sequence is monotonically decreasing in.
Note that (12) is monotonically decreasing (c.f.
implies that is strictly monotonically decreasing.
(mathrm{NEGD}) is strictly monotonically decreasing.
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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