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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… Expand
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Papers overview

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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… Expand
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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… Expand
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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… Expand
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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… Expand
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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… Expand
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2007
2007
Fractal Image Encoding and Analysis Advance Study Institute Schedule of Talks and Abstracts of Talks and Posters 13:00{14:00 Delaunay Triangulation for Fractal Image Compression, Franck Davoine 13:30…
s of Posters Fractal Image Compression Algorithm Optimization Dmitry Vatolin This paper describes a method for index usage in… Expand
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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… Expand
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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… Expand
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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… Expand
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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… Expand
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