article12_3. 257KB Jun 04 2011 12:06:55 AM
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If restricted to the context of characteristic p global fields, global class– field theory (see [1], Chpt. VII, § 5.5) shows that the global Artin map induces a topological
Such a definition is given in section 2 of the present paper; moreover, in Theorem (2.13) we prove that, under some very general conditions on the defining sequence ( a n ), every A ⊆
the q -adic Vandermonde matrix has a similar block structure. We conclude this paper by examining
A sign pattern is an L -matrix provided it requires linearly independent rows, and is balanceable if it allows a left null vector with no zero entries.. A square L-matrix is
Assume that the contrary holds, i.e., suppose that there is a graph G of type-III such that G has the greatest maximum eigenvalue in G( n, ∆).. We consider the next
A real matrix with nonnegative entries and having a largest eigenvalue of multiplicity just one has a strictly positive left eigenvector (see the Appendix) if and only if there
Combining Lemmas 2.2, 2.3 with Theorem 3.1, we may calculate lower bounds for τ ( A ) which depend on the entries of matrix A when A is a strictly diagonally dominant M
If instead we model a ring polymer by the process Y , it is easy to show that this corresponds to a ring polymer in equilibrium with a bath that contains linear polymers with
