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Toward a Calculus of Algorithms
Citation
Bulmer, M and Fearnley-Sander, DP and Stokes, TE, Toward a Calculus of Algorithms, Bulletin of the Australian Mathematical Society, 50, (1) pp. 81-89. ISSN 0004-9727 (1995) [Refereed Article]
DOI: doi:10.1017/S000497270000959X
Abstract
We develop a generalised polynomial formalism which captures the concept of an algebra of piece-wise denned polynomials. The formalism is based on the Boolean power construction of universal algebra. A generalisation of the theory of substitution homomorphisms is developed. The abstract operation of composition of generalised polynomials in one variable is denned and shown to correspond to function composition. © 1994, Australian Mathematical Society. All rights reserved.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Research Division: | Mathematical Sciences |
| Research Group: | Pure Mathematics |
| Research Field: | Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding Knowledge |
| Objective Field: | Expanding Knowledge in the Mathematical Sciences |
| UTAS Author: | Fearnley-Sander, DP (Mr Desmond Fearnley-Sander) |
| UTAS Author: | Stokes, TE (Dr Timothy Stokes) |
| ID Code: | 21125 |
| Year Published: | 1995 |
| Web of Science® Times Cited: | 4 |
| Deposited By: | Mathematics |
| Deposited On: | 2001-08-01 |
| Last Modified: | 2011-09-27 |
| Downloads: | 0 |
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