The above prescription uses the symmetrized products of the operators.
2.
Parentheses ( ) around multiple indices denotes the symmetrized part of the tensor.
3.
A third " symmetrized " Theil index is the arithmetic average of the two previous indices.
4.
For comparison, here also the computation of the symmetrized Theil index T _ s is given:
5.
The sine and cosine brackets are, respectively, the results of antisymmetrizing and symmetrizing the star product.
6.
So that the Fourier transform of the non trivial zeros is equal to the primes power symmetrized plus a minor term.
7.
As in case of the Hoover index, the symmetrized Theil index does not change when swapping the incomes with the income earners.
8.
S . K . Sen and F . R . K . Kumar, Symmetrizing a Hessenberg matrix : Designs for VLSI parallel processor arrays, Proc.
9.
The " fourth stratum " is defined by the fact that there is formation of wider classes which are also symmetrized, while asymmetry becomes less and less.
10.
To do this, first symmetrize S, replacing it by a larger generating set consisting of each s in S as well as its inverse s ^ {-1 }.
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