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In Section 3 we give some theorems to show the approximation of the proposed method.
In this subsection, we show the approximation analysis of our algorithm, comparing to the optimal solution.
Blue and black solid lines show the approximation curve from Equation 1 for the stations on Sakurajima Island and all the stations, respectively.
The dashed lines show the approximation given in Equation (6).
For a complete discussion of the basic theory of multiphoton absorption we refer to the literature, and we restrict ourselves here only to provide the general expression for the multiphoton absorption cross sections that we will use in the analysis and to show the approximation we do in order to explain our observations.
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Blue line shows the approximation curve for the amplitude decay around the Toyohashi ACROSS site.
Table 8 shows the approximation error introduced by the proposed techniques.
Figure 9(a) shows the approximation signal at the third level of AMULW decomposition.
Moreover, Fig. 3 a shows the approximation error between the HTR and corresponding mixture approximations for different values of α.
As we showed, the approximation error in the one-dimensional case approaches 0 when the number of components is increased.
Figure 11 illustrates the concept of rough set theory. Figure 12 on the other hand shows the approximation role of Rough set concept. Figure 11 Rough set theory [28].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com