vol22_pp277-309. 339KB Jun 04 2011 12:06:12 AM
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Since there are infinitely many n-tuples, we may ignore the prime factors of the equations Fni = ki Fmi so that we obtain an equation of type as in Theorem 3.10 , which
In [4] and [5] the authors defined and studied the notion of the set of singular torsion points E sing on an elliptic curve E over a field of charac- teristic different from 2, which
While the classification of generalized matrix products under eigenvalue-preserving similarity transformations and the corresponding canonical forms have been known since the
Eigenvalue, Majorization, Matrix absolute value, Matrix inequality, Matrix norm, Normal matrix, Positive semidefinite matrix, Singular value, Spread, Wielandt inequality.. AMS
Then the corre- sponding companion matrix F a is similar to the diagonal matrix D.. The main result of this section is
This technique can be applied to more general matrix equations, and the focus here is placed on solutions coming from a particular class of matrices..
If we assume the branching distributions to be constant, i.e., µ( x ) = µ for all x ∈ X , we have the following sufficient condition for strong recurrence in terms of the mean
applying the Gessel–Viennot path method with an additional involution and a deformation of paths, we obtain an expression by a positive sum over a set of tuples of paths, which
