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To find the corresponding wave functions, we take the function analysis method to calculate the unnormalized excited state upper components.
These results show that upper components of the landscape structure (e.g. climate and topography) determine the spatial distribution of hantavirus reservoirs independently of the floristic composition of the vegetation patches.
Using the recursion operator approach [55, 56], we can determine the excited state upper components from the superpotential W(r) given in Eq. (20) and the ground-state upper component, F 0,κ (r) given in Eq. (21).
Nevertheless, we did not specifically capture the relative phase of the lower thoracic spine with the middle or upper components.
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We also found that the original stress state was changed when the upper component was deposited.
Fig. 9 Experimental REMPI spectrum of ND 3 molecules exiting the decelerator, probing exclusively the low-field seeking upper component of the inversion doublet for each rotational state.
As upper Gaussian component has more speaker frames, which corresponds to higher zero-order Baum-Welch statistics N c, the mean vector of upper component (black dot denotes the mean vector of Gaussian component) will be sufficiently adapted to the normalized first-order Baum-Welch statistics (red cross denotes the adapted mean vector and red dashed ellipse denotes the adapted component).
From Eqs. (37) and (38), we can observe that the upper component F nκ (r) and lower component G nκ (r) can satisfy the regularity conditions for the bound states when A > 0 and B < 0 and A > −B.
The upper component of the angle may be affected by mandibular incisor proclination during class III decompensation, which will, to some extent, lead to concomitant proclination of the lower lip and thereby reduction of the mentolabial angle.
kern-0pt} alpha }}} (21 For the bound-state solutions, the upper component F nκ (r) must satisfy the boundary conditions that F nκ (r)/r becomes zero when r → ∞, and F nκ (r)/r is finite if r = 0.
The ground-state upper component F 0,κ (r) can be written as: F_{0,kappa } left( r right) = exp left( { - int {Wleft( r right)} {text{d}}r} right), (18 where W(r) is called a superpotential in supersymmetric quantum mechanics [43].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com