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Therefore, the (four-dimensional) matrix of spherical harmonic coefficients must be symmetric under interchange of incoming and outgoing angles.
Condition (1) implies that for to be PR, the polynomial coefficients must be real, and therefore complex poles and zeros must exist in conjugate pairs.
Measurements in an airborne platform system are from the inbound (beacon) wavefront and therefore, the outbound, high-energy laser's wavefront phase distortion Zernike expansion coefficients must be estimated.
Our design methodology, called stochastic logic, is based on Bernstein polynomials with coefficients that correspond to probability values; accordingly, the coefficients must be values in the unit interval.
This design is based on the identification of the stability problems of the Galerkin method and a scaling of variables argument to determine which coefficients must be included in the stabilization matrix.
Although such a grouped solute is a theoretical construct, much like any real solute its thermodynamic parameters, i.e. osmotic virial coefficients, must be known if it is to be included in calculations.
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To represent the role of porosity on diffusion, the diffusion coefficient must be scaled with tortuosity.
Figure 6 suggests that the extinction coefficient must be larger than 0.6 to cause the peak splitting by the EIT effect.
To make absolute pressure measurements using a SRG, a calibration factor, known as the accommodation coefficient, must be determined.
In order to compute the proper angle and phase of the redirected light, a diffraction coefficient must be computed for the material and shape.
The simulation results indicated that a suitable discharge coefficient must be defined to ensure the stable operation of the hydrogen generator.
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CEO of Professional Science Editing for Scientists @ prosciediting.com