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For the phase components of the impulse responses, each of which is associated with the velocities of the weather targets in the corresponding reflection channel as (5) and (6), we simply set all the velocities of the weather targets in each reflection channel to a constant: specifically, v 1[ i]=15, v 2,1[ i]=5, and v 3,1[ i]=−5.
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A Dunkl-Dirac operator in (mathbf{R}^{m}) for the corresponding reflection group G is defined as (D_{h}=sum_{i=1}^{m}e_{i}T _{i}), where (T_{i}) are Dunkl operators.
However, because of the ever-present edge truncations in real manufactured wedges, the corresponding reflection coefficients are always far from zero.
The corresponding reflection spectra of the In x Al1-xN films are observed at around 1.5 to 2.55 eV.
Further, the behavior of the transmission coefficient of ( P_{1} ) is opposite to the corresponding reflection coefficient for ( theta_{0} in (50^{0},90^{{0} ). ) The effect of capillary pressure on the reflection and transmission coefficients is displayed in Fig. 5.
However, the corresponding reflection group is isomorphic to the hyperoctahedral group in six dimensions (Humphreys, 1990 ▶).
(Inset: the corresponding reflection coefficients of the sensor) (f) Frequency response of the sensor during a pressure cycle.
Such quantities, which are associated with the specific values of the diffraction vectors Q (Q = 2π/d, where d is the d-spacing in the unit of Å) of the corresponding reflections, are termed as "apparent lattice parameters", alp.
These peaks can be attributed to tetracalcium phosphate (TTCP) phase, Ca4(PO4)2O; the positions of the corresponding reflections are shown in the upper part of Fig. 3.
The corresponding reflections are also presented in Fig. 7.
Exposure of the fibers to different solvents in the vapor or liquid phase would result in varying degrees of swelling and a corresponding reflection peak red-shift endowing the fibers or textiles made thereof with optical solvent sensing capacities.
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