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» On the nonlinearity of linear recurrence sequences
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ISSAC
1993
Springer
119views Mathematics» more  ISSAC 1993»
15 years 1 months ago
Finding all Hypergeometric Solutions of Linear Differential Equations
Hypergeometric sequences are such that the quotient of two successive terms is a fixed rational function of the index. We give a generalization of M. Petkov6ek’s algorithm to fi...
Marko Petkovsek, Bruno Salvy
BIRTHDAY
2008
Springer
14 years 11 months ago
Linear Recurrence Relations for Graph Polynomials
A sequence of graphs Gn is iteratively constructible if it can be built from an initial labeled graph by means of a repeated fixed succession of elementary operations involving add...
Eldar Fischer, Johann A. Makowsky
CORR
2012
Springer
183views Education» more  CORR 2012»
13 years 5 months ago
Twisting q-holonomic sequences by complex roots of unity
A sequence fn(q) is q-holonomic if it satisfies a nontrivial linear recurrence with coefficients polynomials in q and qn . Our main theorem states that q-holonomicity is preserve...
Stavros Garoufalidis, Christoph Koutschan
72
Voted
NN
2007
Springer
14 years 9 months ago
Recurrent neural network modeling of nearshore sandbar behavior
The temporal evolution of nearshore sandbars (alongshore ridges of sand fringing coasts in water depths less than 10 m and of paramount importance for coastal safety) is commonly ...
Leo Pape, B. Gerben Ruessink, Marco A. Wiering, Ia...
WCC
2005
Springer
197views Cryptology» more  WCC 2005»
15 years 3 months ago
Linear Filtering of Nonlinear Shift-Register Sequences
Nonlinear n-stage feedback shift-register sequences over the finite field Fq of period qn − 1 are investigated under linear operations on sequences. We prove that all members o...
Berndt M. Gammel, Rainer Göttfert