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Further details about this figure are given in subsection with heading Experiment 3 in Section 6.

Further details are given in subsection with the heading Experiment 2 in Section 6.

Further details about this figure are given in subsection with the heading Experiment 3 in Section 6. Figure 4 Area under the ROC curve (AUC) for analyzing the sensitivity to shadowing:  N = 1 0 0 andM = 2 5 0,P 0  = - 7 dB andσ f  = 0 dB.

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Then the mean weight Scoreglob of the reference alignment of a pair of test sequences generated by the scheme given in subsection 2.1 with the pairs Lker, PAM, r, and c is determined by the following equation: (2) S c o r e g l o b = L k e r ⋅ D k e r + L c o n ⋅ D c o n ⋅ 1 - c - 2 ⋅ G E P ⋅ L c o n ⋅ c - 2 ⋅ G O P, where GOP and GEP are gap-open and gap-extension penalties.

Early VLF events with an unusually long recovery (given in Subsection 3.3) are very rare and have not been included in Fig. 3.

In the observations section, a direct comparison between the observed and calculated ionospheric characteristics with their IRI model-predicted values is given in Subsection 3.1.

More details are given in Subsection 2.5.

More details of GASA are given in Subsections Parts 1 and 2 of GASA.

For these reasons, we will give in the successive two subsections some useful characterization on eigenvalues and half-eigenvalues of the p-Laplacian with weights.

A specific model is given in this subsection to verify the effectiveness of our conclusions.

An example is given in this subsection that is one possible design of the system.

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