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Fractal sequence

In mathematics, a fractal sequence is one that contains itself as a proper subsequence. An example is 1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 5, 1… 
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
Discrete-time quantum walks generated by aperiodic fractal sequence of space coin operators
Properties of one-dimensional discrete-time quantum walks (DTQWs) are sensitive to the presence of inhomogeneities in the… 
2017
2017
Frequency content of carrier oscillations along B-DNA polymers
We study the frequency content of an extra carrier oscillation along characteristic periodic B-DNA polymers made of N monomers… 
2016
2016
A Novel Proof for Kimberling's Conjecture on Doubly Fractal Sequences
A sequence is a fractal sequence if it contains itself as a proper subsequence. (The self-containment property resembles that of… 
2011
2011
An Efficient Approach for DNA Fractal-based Image Encryption
Security of the image information has become more and more important. At present, researchers have paid much attention to DNA… 
2007
2007
Self-similarity effects in optical response of fractal photonic quasi-crystals
One-dimensional photonic microstructures with optical thicknesses chosen according to the fractal sequence of the Cantor's ladder… 
2005
2005
Phase transition between reactive and predictive eye movements is confirmed with nonlinear forecasting and surrogates
2005
2005
Sequences of Predictive Saccades Are Correlated Over a Span of ∼2 s and Produce a Fractal Time Series
We previously demonstrated that there is an abrupt (rather than smooth) transition between reactive and predictive modes of eye… 
2004
2004
The estimation of forecasting models adequacy in dealing information systems
In This work the procedures of an estimation of forecasting models adequacy on foreign exchange market are given. A forecasting… 
Review
2004
Review
2004
Fractal Sequences , Part 1 : Overview
Infinity is where things happen that don't. — S. Knight Ever since Benoit Mandelbrot published his book on fractals [1], we've… 
2003
2003
Image Retrieval Using A New Fractal Feature and Robust Structural Information
The rapid increase in the volume of electronically archived images and video materials has given rise to a need for new methods… 
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