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On Determining Minimal Singularities for the Realizations of an Incidence Sequence

โœ Scribed by A. B. Owens and H. M. Trent


Book ID
124876278
Publisher
Society for Industrial and Applied Mathematics
Year
1967
Tongue
English
Weight
1022 KB
Volume
15
Category
Article
ISSN
0036-1399

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On the Minimal Realizations of a Finite
โœ Graham Norton ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 651 KB

We develop a theory of minimal realizations of a finite sequence over an integral domain \(R\), from first principles. Our notion of a minimal realization is closely related to that of a linear recurring sequence and of a partial realization (as in Mathematical Systems Theory). From this theory, we