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We introduce a function which depends on the continuous function.
Therefore, a function which depends on singular values of K could be selected to evaluate whether Equation (2) represents an ill-posed system.
In this paper we study the stationary generalized Navier-Stokes equations when the viscosity is not only a constant but also a function which depends on the position and the shear-velocity.
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The main contribution of our work resides in having devised a solution relying on a cost function which depends on link utilization in a non-linear fashion.
In assigning a movie to a stream, we propose a weight function which depends on the user queuing-time and its PPV (hence the term 'weighted queuing-time' (WQT).
These quasi-port-Hamiltonian systems are defined with respect to a structure matrix and a modulating function which depends on the thermodynamic relation between state and co-state variables of the system.
This original approach is rather simple, combining the study of the maximal stress over a fretting fatigue cycle with a weight function which depends on the stress gradient.
A sufficient condition is derived by constructing a Lyapunov function, which depends both on the fuzzy basis and the transmission delay, to guarantee that the augmented closed-loop system is mean-square exponentially stable and passive in the sense of expectation.
In all of these approaches, the optimal tuning parameter is selected that minimizes a cost function which depends upon the estimate of u t using a set of ({{lambda }_{t}^{k}}_{k=1}^{K}), where the length of the search grid for λ t is K.
In the MPDM, it is assumed that, after the switching point, θ p is reduced according to a decrement function which depends on δ p. Hence, when specified in a multigroup context, in the MPDM, PD is modeled via a group-specific change in the θ-variable instead of via changes in the intercept parameters as is the case in the 2PDM and the HYBRID model.
The algorithm iteratively minimizes a objective function which depends on the pixels to the cluster centers in the feature domain.
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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