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64
Voted
MOC
1998
15 years 4 days ago
1998
Abstract. We present formulations of the Trotter-Kato theorem for approximation of linear C0-semigroups which provide very useful framework when convergence of numerical approximat...
88
Voted
MOC
2000
15 years 7 days ago
2000
Abstract. Examples of polynomials with Galois group over Q(t) corresponding to every transitive group through degree eight are calculated, constructively demonstrating the existenc...
92
Voted
MOC
2000
15 years 7 days ago
2000
We introduce a new method of obtaining guaranteed enclosures of the eigenvalues of a variety of self-adjoint differential and difference operators with discrete spectrum. The metho...
68
Voted
MOC
2000
15 years 7 days ago
2000
We prove that, for all d 4, there are Salem numbers of degree 2d and trace -1, and that the number of such Salem numbers is d/ (log log d)2 . As a consequence, it follows that the...
100
Voted
MOC
2000
15 years 7 days ago
2000
We improve on a lattice algorithm of Tezuka for the computation of the k-distribution of a class of random number generators based on finite fields. We show how this is applied to ...