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F j ave is the average radiation pattern coefficient for P and S waves of a double-couple point source (Boore and Boatwright 1984).
We also show the spatial distribution of the radiation pattern coefficient for a double-couple point source in a homogeneous medium as a reference (Fig. 4c), where amplitude nodes (R j = 0.00) clearly exist.
Satoh (2014) employed frequency- and distance-dependent S-wave radiation pattern coefficient for the stochastic Green's function method based on empirical model of Satoh (2002a, b), which showed very weak distance dependency for frequencies of 2 5 Hz and an isotropic radiation pattern for higher (>6 Hz) frequencies irrespective of distance.
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Figure 4a, b shows the spatial distributions of modeled apparent radiation pattern coefficients for frequencies of 0.5 1 and 4 8 Hz, respectively.
Pulido and Kubo (2004) proposed a simple linear frequency-dependent model of S-wave radiation pattern coefficients for strong ground motion prediction.
We calculated the ratio of SH wave radiation pattern coefficients for two cases: (1) Epicentral distance (100 km) was the same and azimuthal difference was δθ for a station pair (Fig. 15a) and (2) azimuth from source to stations was the same, and interstation distance caused difference in epicentral distance for a station pair (Fig. 15b).
Factor pattern coefficients for items are presented in Table 1.
Prudent diet scores at 3 and 6 y of age were calculated by using the prudent dietary pattern coefficients for every food/group on the FFQ and their reported frequency of consumption at the respective ages.
Fig. 15 Theoretical radiation pattern coefficients ratio for a case 1: interstation distance causes azimuthal difference and b case 2: interstation distance causes epicentral distance difference.
Anchor items could be those that had the largest pattern coefficients in exploratory mode, for example.
Given the basis patterns, we invert an observed image to deduce the basis pattern coefficients by using maximum likelihood fitting for Poisson distributed uncertainties.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com