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In Table 2, we have estimated the absolute difference between the operators (C_{n,m}^{a}(f;x,y)) defined in (3) and the function (f x,y)=xe^{-x^{2}}y^{2} e^{-y}).
Also, we have estimated the absolute difference between the operators (L^_{n,m}(f;x,y)) defined by Ispir and Buyukyazici [7] and the function (f x,y)=xe^{-x^{2}}y^{2} e^{-y}).
Also, we have estimated the absolute difference between the operators (S^_{n,m}(f;x,y)) defined in [6] and the function (f x,y)=xe^{-x^{2}}y^{2} e^{-y}).
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Specifically, we have defined the phase difference between the operator's force and the actuator's force, and the phase difference generates the induction force automatically.
However, the execution on the phone is very efficient, with a pretty low difference between the two operators (approximately forty microseconds in the worst case, where some peaks are a consequence of the garbage collector).
The key difference between the fractional operator and the usual one is that the former is nonlocal.
Our technique involves introducing a numerical invariant α(X) for a normed space X which measures the difference between the minimal operator space structure which can be assigned to X, MIN X), and the maximal structure, MAX X).
The report into the state of the mobile phone network found big differences between the four operators in different parts of the country.
And we re-define the CHC operators in residuated lattices, and particularly reveal the essential differences between the CHC operators in orthocomplemented lattices and residuated lattices.
These examples show the essential difference between Toeplitz operators on the Segal Bargmann space and on the Bergman space over the unit ball.
There were statistical differences between the experienced operator and less experienced operators regarding the file-removal time and the dentin removal rates (p < 0.05).
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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