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Assume that the corresponding commutant algebra C = comm is abelian.
We assume that the corresponding solutions depend only on the radial variable (rin G={r|0< aleq rleq b<+infty}) and the time variable (tin[0,T]).
Let (x t)) be an eventually positive solution of (1.1) and assume that the corresponding (z(t)) satisfies case (ii) in Lemma 2.1.
In addition, if the block variance is less than a given threshold, e.g., 1, we would assume that the corresponding block belongs to the smooth region.
Another possibility could be to select the three closest neighboring points (therefore, defining a triangle) and assume that the corresponding 3D points define a plane.
If the packet triggered by RTO is not found at the Mac and network layers, we assume that the corresponding RTO is triggered due to sudden delay, and we treat those RTOs as spurious RTOs.
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Usually, mathematical models of chemical process are governed by a set of ordinary differential equations assuming that the corresponding concentration dynamics depends only on time.
SBI and DSP modification: Assuming that the corresponding survival branch is initiated from group, for each.
It is also assumed that the corresponding size of the here depicted DQ-MAC superframe is 1.
On receiving three duplicate ACKs for a segment, TCP assumes that the corresponding packet has been lost.
If the value of an output neuron is positive, it may be assumed that the corresponding particle has been identified by the network.
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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