For as long as there is need to utilise and manage large volumes of data, there would always be the requirement to employ analytical tools to make sense from the complex wave
and volumes of data available.
Starting around 1920, says Bowen, certain strands of African American folk culture blended with orthodox Islamic knowledge, black nationalism, and various forms of esotericism to create a powerful and complex wave
of Islamic movements.
(78-85) Complex wave
propagations of surface waves above 0.05 Hz caused by strong shallow, lateral heterogeneities make it difficult to locate the excitation sources by backprojecting surface waves.
The typical contour plots of the imaginary part of the complex frequency [[omega]*.sub.i] in the complex wave
number k* plane for an inviscid compressible shear layer are shown in Figure 2.
which is the complex wave
velocity of SH waves transmitting in the [[psi].sup.L.sub.SH] direction.
where the background electric field [E.sub.b] is the analytical solution which can be solved by the analytical (7) ; the second electric field ([E.sub.s]) is calculated by staggered-grid finite difference method; [k.sub.b] is the complex wave
number of background medium and it can be expressed by (6):
and current conditions for normal, challenging and extreme conditions can easily be simulated and repeated.
and current conditions for normal, challenging and extreme conditions can easily be simulated and repeated time after time, allowing devices and control algorithms to be iteratively adjusted to find optimal performance settings and reducing the time taken to get to the optimised 'right first time' design.
The exact solutions of such simple problems serve to understand more complex wave
motions; moreover, these solutions can also be used as benchmark problems to assess the accuracy of numerical methods (FEM, BEM, FDM, etc.) .
Reasonable radiating performance of the proposed antenna is suitable for complex wave
Equation (6) being of fourth degree in complex wave
frequency ([omega] = [beta] + i[alpha]) with complex coefficient is not easy to solve analytically and so we solved it numerically using La Guerre method of finding roots of polynomial.