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ISSAC
2001
Springer
141views Mathematics» more  ISSAC 2001»
13 years 9 months ago
On the Barnes function
The multiple Barnes function, defined as a generalization of the Euler gamma function, is used in many applications of pure and applied mathematics and theoretical physics. This pa...
Victor Adamchik
ISSAC
2001
Springer
133views Mathematics» more  ISSAC 2001»
13 years 9 months ago
Irreducible trinomials over finite fields
A necessary condition for irreducibility of a trinomial over a finite field, based on classical results of Stickelberger and Swan, is established. It is applied in the special ca...
Joachim von zur Gathen
ISSAC
2001
Springer
129views Mathematics» more  ISSAC 2001»
13 years 9 months ago
Computation of the degree of rational maps between curves
The degree of a rational map measures how often the map covers the image variety. In particular, when the rational map is a parametrization, the degree measures how often the para...
J. Rafael Sendra, Franz Winkler
ISSAC
2001
Springer
123views Mathematics» more  ISSAC 2001»
13 years 9 months ago
A probabilistic algorithm to test local algebraic observability in polynomial time
The following questions are often encountered in system and control theory. Given an algebraic model of a physical process, which variables can be, in theory, deduced from the inp...
Alexandre Sedoglavic
ISSAC
2001
Springer
123views Mathematics» more  ISSAC 2001»
13 years 9 months ago
On computational properties of chains of recurrences
Backward and mixed chains of recurrences are introduced. A complete set of chains of recurrences manipulation tools is described. Applications of these tools, related to the safet...
Eugene V. Zima
Mathematics
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