To improve the computational efficiency, the target performance approach is introduced to transform the calculation of the constraints into a double-loop nested problem.
The covering-domain method, which transforms the calculation of the scattering sound field of a complicated-shaped close cavity to that of a series of simply regular-shaped close shells such as close spherical shell and infinite cylindrical shell, is applied to calculating the scattering sound field of the plate-ended cylindrical shell structure.
A new method, covering-domain method, which transforms the calculation of scattered sound field of an arbitrary-shaped closed shell into that of a series of simply closed spherical shells, is applied in this paper to calculate the scattered sound field of a multicavity structure with elastic surfaces.
For Radon-Wigner transform or Radon-ambiguity transform, both the calculation of the full time-frequency plane (or AF plane) and the transformation from the Cartesian coordinate to the polar coordinate are indispensable, whose high computational complexity severely hinders the usefulness of the two methods in the LFM-signal detection, especially in the case of long signal detection.
For the sake of calculation convenience, one can transform the Majorana operator to the regular fermion representation, using the relations η 1=f+f † and η 2=i(f † −f).
Source pairs with the highest ratios will be incrementally removed from the transform calculation until the average of all ratios drops below residfac.
Two different options can be used to eliminate source pairs from the transform calculation when the residual ratio limit factor (residfac) is specified.
The slight reduction in activation energy reported by Kim et al. [ 49] for proteins carrying the modification, based on discrete Fourier transform calculations and the assumption of an oxyl radical rather than a superoxyl radical, may or may not be biologically relevant.
Use a WCS for the transform calculation from either the input source file (infile) or the reference source file (refsrcfile).
Custom software (MATLAB) was used for data processing, which included resampling, cubic spline interpolation, Fourier transform computation, and calculation of birefringence from the interferometric data.
