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One is the dependence on the continuous presence of ATR, the other is the partial inactivation by repeated or premature activation.
The next step is to make the dependence on the continuous momentum variables P 2, q 2, and q ⋅ P numerically accessible.
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Titled "Dawn of a New Day," it comes across as a dire warning for Microsoft to move faster away from its dependence on the PC towards "continuous services" in the cloud available across a wide array of "connected devices".
end{aligned} This implies the continuous dependence on the initial data for the solution which generates a continuous process ({tilde{U}(cdot,cdot )}).
In line with the predictions of the model, the monotonic indentation response of the bitumen exhibits a power-law dependence on the indentation force, while the continuous cyclic response is primarily a function of the mean indentation load.
Next, we will discuss the continuous dependence on the Forchheimer coefficient λ.
Then we can obtain the continuous dependence on the initial data for mild solutions.
In this section, we establish the continuous dependence on the coefficient.
Now we study the continuous dependence on the initial value and parameter for the solution of IVP (15 - 16 15 - 16
Moreover, some explicit derivative estimates and expressions about the speed of propagation of u x, t) and the continuous dependence on the nonlinearity of the equation are obtained.
The investigation in [1] showed that the continuous dependence on the initial data of the solutions to the compressible Navier-Stokes equations with vacuum failed.
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