A detailed mathematical analysis on the q=1/2 non-extensive maximum entropy distribution of Tsallis’ is undertaken. The analysis is based upon the splitting of such a distribution into two orthogonal components. One of the components corresponds to the minimum norm solution of the problem posed by the fulfillment of the a priori conditions on the given expectation values. The remaining component takes care of the normalization constraint and is the projection of a constant onto the null space of the “expectation-values transformation”.
Bibliographical note© 1998 Elsevier Science B.V. All rights reserved.
- non-extensive maximum entropy distribution
- orthogonal components
- normalization constraint
- expectation-values transformation