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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.
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
High-birefringence photonic crystal fiber structures based on the binary morse-thue fractal sequence
A novel index-guiding Silica glass-core hexagonal High-Birefringence Photonic Crystal Fiber (HB-PCF) is proposed, with five rings… 
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… 
2016
2016
Investigation and optimal design of Photonic Crystal Fiber Bragg Grating using the Bat Algorithm and Binary Morse-Thue fractal Sequence, for eye-safe Tunable Fiber and Solid-State Lasers
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… 
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… 
1997
1997
Distinguishing chaos from random fractal sequences by the comparison of forward and backward predictions: utilization of the difference in time reversal symmetry of time series
The authors propose a method for distinguishing chaos from random fractal sequences which have been difficult to discriminate… 
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