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Full-Text Articles in Mathematics
On Some Finitely Based Representations Of Semigroups, Nikolay Silkin
On Some Finitely Based Representations Of Semigroups, Nikolay Silkin
Department of Mathematics: Faculty Publications
In this paper we present a method of obtaining finitely based linear representations of possibly infinitely based semigroups.
Lee Weights Of Z/4z-Codes From Elliptic Curves, José Felipe Voloch, Judy L. Walker
Lee Weights Of Z/4z-Codes From Elliptic Curves, José Felipe Voloch, Judy L. Walker
Department of Mathematics: Faculty Publications
In [15: J. L. Walker, Algebraic geometric codes over rings], the second author defined algebraic geometric codes over rings. This definition was motivated by two recent trends in coding theory: the study of algebraic geometric codes over finite fields, and the study of codes over rings. In that paper, many of the basic parameters of these new codes were computed. However, the Lee weight, which is very important for codes over the ring Z/4Z, was not considered. In [14: J.-F. Voloch and J. L. Walker, Euclidean weights of codes from elliptic curves over rings], this …
Relationships Among The First Variation, The Convolution Product, And The Fourier-Feynman Transform, Chull Park, David Skough, David Storvick
Relationships Among The First Variation, The Convolution Product, And The Fourier-Feynman Transform, Chull Park, David Skough, David Storvick
Department of Mathematics: Faculty Publications
In this paper we examine the various relationships that exist among the first variation, the Fourier- Feynman transform, and the convolution product for functionals on Wiener space that belong to a Banach algebra S.
Exponential Stability Of A Thermoelastic System With Free Boundary Conditions Without Mechanical Dissipation, George Avalos, Irena Lasiecka
Exponential Stability Of A Thermoelastic System With Free Boundary Conditions Without Mechanical Dissipation, George Avalos, Irena Lasiecka
Department of Mathematics: Faculty Publications
We show herein the uniform stability of a thermoelastic plate model with no added dissipative mechanism on the boundary (uniform stability of a thermoelastic plate with added boundary dissipation was shown in [J. Lagnese, Boundary Stabilization of Thin Plates, SIAM Stud. Appl. Math. 10, SIAM, Philadelphia, PA, 1989], as was that of the analytic case---where rotational forces are neglected---in [Z. Liu and S. Z. Heng, Quarterly Appl. Math., 55 (1997), pp. 551-564]). The proof is constructive in the sense that we make use of a multiplier with respect to the coupled system involved so as to generate a fortiori the …