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The stability of the overall closed-loop system with the four aforementioned uncertainties and additional singular perturbations is analyzed.
In this paper, we will show real contributions of the two additional singular factors to the quenching behavior of solutions.
For example, the 4-dimensional semilinear elliptic problem with bi-Laplacian is treated in [18] and the problem with an additional singular source term given by Dirac masses is treated in [19] in the radial case.
However, unlike the blow-up problem, there are less papers consider the weakly coupled quenching problem like (1.1), differently from the generally considered, there are two additional singular factors, namely, and for the inner absorptions of and, respectively.
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Conversely, if LLLT does not provide additional incremental or singular benefit then this widely practiced intervention, would have evidence to discourage that practice.
However, this requires an additional technique such as singular value decomposition (SVD) to find a unique optimal solution for d[19].
h_{2} right} = 0 along I. Accordingly, (h_{i}^{(3)}=0), i=1,2, gives three additional constraints along the singular arc: begin{aligned} left{ h_{0},text{ad}^{2} h_{0}.
In order to make the matrix not singular, the additional equation is introduced through the constraint that the same weights when operating on the signal produced a gain factor, which is the first equation.
Since P and Q are singular, an additional condition ∑ i =1 n π i = 1 is used in all cases.
As compared to the wild type cells, which under this heat stress condition exhibited a large cell surface CS, neither the bck1Δ nor wsc1Δ cells imaged by AFM presented this singular structure (Additional file 7: Figure S6).
Doctrinal disputes have contributed to the development of additional creedal formulations called ʿaqāʾid (singular, ʿaqīdah), but these do not divide Islam into clearly marked confessional groupings or denominations such as exist in Christianity.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com