Aperiodic Crosscorrelation of Sequences Derived from Characters [PDF]
It is shown that pairs of maximal linear recursive sequences (m-sequences) typically have mean square aperiodic crosscorrelation on par with that of random sequences, but that if one takes a pair of m-sequences where one is the reverse of the other, and ...
Katz, Daniel J.
core +1 more source
On the generalized p-periodic linear recursive sequences via the Fibonacci–Horner decomposition of the matrix powers [PDF]
In this study, we investigate the matrix formulation of the generalized p-periodic linear recursive sequences. To reach our goal, we consider the properties of the Fibonacci–Horner decomposition of the matrix powers and those of the weighted linear ...
Mustapha Rachidi +2 more
doaj +1 more source
Polynomial tails of additive-type recursions [PDF]
Polynomial bounds and tail estimates are derived for additive random recursive sequences, which typically arise as functionals of recursive structures, of random trees, or in recursive algorithms.
Eva-Maria Schopp
doaj +1 more source
On the appearance of primes in linear recursive sequences
We present an application of difference equations to number theory by considering the set of linear second-order recursive relations, , U0 = 0, U1 = 1, and , , where R and Q are relatively prime integers and n ∈ {0,1,...}. These equations describe
Jaroma John H
doaj +2 more sources
The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers. [PDF]
During language processing, humans form complex embedded representations from sequential inputs. Here, we ask whether a "geometrical language" with recursive embedding also underlies the human ability to encode sequences of spatial locations.
Marie Amalric +5 more
doaj +1 more source
Brain-imaging evidence for compression of binary sound sequences in human memory
According to the language-of-thought hypothesis, regular sequences are compressed in human memory using recursive loops akin to a mental program that predicts future items. We tested this theory by probing memory for 16-item sequences made of two sounds.
Fosca Al Roumi +3 more
doaj +1 more source
When Are Tree Structures Necessary for Deep Learning of Representations? [PDF]
Recursive neural models, which use syntactic parse trees to recursively generate representations bottom-up, are a popular architecture. But there have not been rigorous evaluations showing for exactly which tasks this syntax-based method is appropriate ...
Hovy, Eudard +3 more
core +1 more source
Non-Linear Recursive Sequences [PDF]
The purpose of this paper is to investigate non-linear recursive sequences of maximum length with elements from GF(2). In particular, the question of whether or not a recursive sequence of maximum length can be equal to its dual is settled. This question, as far as the author knows, was originally asked by Rosser.
openaire +1 more source
Solution for Rational Systems of Difference Equations of Order Three
In this paper, we consider the solution and periodicity of the following systems of difference equations: x n + 1 = y n − 2 − 1 + y n − 2 x n − 1 y n , y n + 1 = x n − 2 ± 1 ± x n − 2 y n − 1 x n
Mohamed M. El-Dessoky
doaj +1 more source
Recursive n-gram hashing is pairwise independent, at best [PDF]
Many applications use sequences of n consecutive symbols (n-grams). Hashing these n-grams can be a performance bottleneck. For more speed, recursive hash families compute hash values by updating previous values.
Carter +12 more
core +2 more sources

