article07_6. 218KB Jun 04 2011 12:06:53 AM
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We give a simple way to generate an infinite number of solutions to Pell’s equation x 2 − Dy 2 = 1, requiring only basic matrix arithmetic and no knowledge of irrational numbers..
A semidefinite program is an optimization problem where a linear function of a matrix variable is to be minimized subject to linear constraints and an additional semidefi-
To avoid infinite eigenvalues, we restrict ourselves to matrix polynomials with nonsingular leading coefficients.. The case of singular leading coefficients and infinite
The notion of weak uniqueness requiring that the joint distribution of the solution and the stochastic inputs be uniquely determined used by Engelbert and also by Jacod (12) is
Recently much work has been done on the (simple or not) random walk on the unique infinite cluster for the supercritical (bond or site) percolation in Z d (see e.g.. Another
However, in the special case when the embedded man- ifold has a holomorphic defining function, so there exist holomorphic local coordinates by the implicit function theorem,
Gamma function is one of the most important special functions with applica- tions in various fields, like analysis, mathematical physics, probability theory and statistics..
Stivastava, Certain subclasses of analytic functions asso- ciated with the generalized hypergeometric function, Integral Transform.. Owa, On the distortion
