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Therefore, the total rate of a PU leaving the system only depends on Np (t).
The concepts of stability and asymptotically stability of a fixed point in non-autonomous systems correspond to Definition 2.1 in autonomous systems unless there is a new case, in that the response of autonomous system only depends on ((t-t_{0})), and the response of the non-autonomous system also depends on both t and (t_{0}).
The progress of the system only depends on previous state (e.g. Markov process).
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Compared to conventional CAES plant, the performances of this system only depend on the electrical energy required for a round-trip cycle; performances of each sub-system of the power conversion process takes part of the overall efficiency.
Actually, the DOF of the InIm system not only depends on the the facet braiding in the display process, but also seriously depends on the pickup process.
The nonlocal property of fractional differential equations means that the next state of a system not only depends on its current state but also on its history states.
For the oblivious scheme with peak power constrained users, the sum rate expression is completely independent of the number of users present in the system and only depends upon the users who actually feed back.
The non-local property of fractional differential equations means that the next state of a system not only depends on its current state but also on its historical states.
We need to point out that in the Sobolev spaces (H^{s}(mathbb{R} times H^{s-1}(mathbb{R})) with (s>frac{3}{2}), the wave-breaking of the solution for system (1) only depends on the slope of the component u of the solution [6].
It needs to point out that in the Sobolev spaces H s ( R ) × H s − 1 ( R ) with s > 3 2 the wave-breaking of the solution of system (4) only depends on the slope of the component u of solution [7].
The number of variables of a system not only depends on the size of the studied pathways, but also on the number of cells represented in the model.
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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