sigma06-035. 231KB Jun 04 2011 12:09:51 AM
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Dehesa Entropy of orthogonal polynomi- als with Freud weights and information entropies of the harmonic oscillator potential, J. Dehesa Position and momentum information entropies
The construction of a family of real Hamiltonian forms (RHF) for the special class of affine 1 + 1-dimensional Toda field theories (ATFT) is reported.. Thus the method, proposed in [
In the opposite case the condition ( 9 ) is never satisfied and all trajectories starting from the curve ( 5 ) go into the region ( 6 ), experience the point of maximal expansion
The Hamil- tonian structure is then used in the construction of a new family of symmetries and the associated conserved quantities of the Maxwell–Bloch equations.. Key
It has been shown that the proposed approach generalizes the Fourier series in Hilbert space (Section 5.2.5 ), the Wiener filter, the Karhunen–Lo`eve transform (KLT) and the
The method of approximate conditional symmetries for partial differential equations with a small parameter was suggested by Mahomed and Qu [ 8 ] (point symmetries), Kara, Mahomed and
For example, the Poncelet theorem says then that the periodicity property of the John algorithm depends only on equation of the bi-quadratic curve ( 3 ) and does not depend on
[16] Atoyan A., Patera J., Properties of continuous Fourier extension of the discrete cosine transform and its multidimensional generalization, J. [21] Humphreys J., Introduction to
