Exact(8)
by the theorem of differential mean value, we easily see that (7), (11), and (12) hold.
The subjective ratings were recorded by differential mean opinion scores (DMOS).
The scores from the remaining subjects were then averaged to form a Differential Mean Opinion Score (DMOS) for each sequence.
To design a stochastic estimator for online estimation of Wiener system of second order, this paper utilizes differential mean value theorem and the results of stochastic contraction theory.
Using the differential mean value theorem, we transform the nonlinear error dynamics descriptor system into a linear parameter varying descriptor system.
Firstly, the nonlinear uncertainties are transformed into the linear time-varying forms via the differential mean value theorem under some assumptions.
A terminal output tracking error model is obtained by using a system input and output algebraic function as well as the differential mean value theorem.
Because of the existence of nonlinear dynamics, the Differential Mean Value Theorem is used to transform the nonlinear singular system into a singular linear parameter varying system.
Related(1)
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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