It is an extension of the Rademacher system of orthogonal functions.
2.
Then the matrix entries of the \ varrho _ i are mutually orthogonal functions on G.
3.
The orthogonal functions can be used to directly indicate the paths that channels could take in lateral migrations.
4.
For the first layer the orthogonal functions are ( co ) sine functions, with 32 different frequencies ( tones ).
5.
In order to model river channel migrations over time, orthogonal functions of erosion path lines can be generated for individual point bar complexes.
6.
This method uses aggregation of multiple quasi-orthogonal functions with a smaller constellation alphabet size for a single user with a joint multi-channel detector.
7.
The eigenfunction expansions to certain linear operators defined over a given domain, will often yield a countably infinite set of orthogonal functions which will span that domain.
8.
Wannier developed a complete set of orthogonal functions known as the Wannier functions which became tools of the trade for critical point for the Ising model on the square lattice.
9.
The \ Phi _ n ( \ varphi ) and Z ( k, z ) functions are essentially Fourier or Laplace expansions, and form a set of orthogonal functions.
10.
A more complex definition, only possible with more complete modern records generated by numerical weather prediction, is based on the principal empirical orthogonal function ( EOF ) of surface pressure.
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