The high-low sequence of Shannon-Weiner index of Macrofauna were: NP>N>1.5MNPK>PK>M2NPK>CK>NK>NPK>M1NPK>Rot>SNPK>Aband; While the high-low sequence Mesofauna and Microfauna were: M1NPK>M2NPK>SNPK>1.5MNPK>NP>CK>Rotation>NK>NPK>PK>N>Aband.
This wavelet basis is obtained from three wavelet generators by scaling, translation and rotation, and the wavelets are supported either by one corner triangle or a pair of adjacent triangles in the triangulation of level k - 1.
For ? having at most one discontinuity, the existence of a Borel wandering set is equivalent to rationality of the Poincaré rotation number.
We compute the rotation numbers for a special class of such functions.
We discuss an implementation of an efficient algorithm for the numerical computation of Fourier transforms of bandlimited functions defined on the rotation group SO(3).
In NQGA, a novel approach for updating the rotation angles of quantum logic gates and a strategy for enhancing search capability and avoiding premature convergence are adopted.