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COMPRESSION RATIO OF FRACTAL SETS

Fractals
Fractal sets are generated by simple generating formulas (iterated functions) and therefore have an almost zero algorithmic (Kolmogorov) complexity. Yet when observed as data with no knowledge of the iterated function, for instance, when observing pixel values of any region of a fractal image, the fractal set is very complex.
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Ultrahigh-Sensitive Compression-Stress Sensor Using Integrated Stimuli-Responsive Materials

Advanced Materials, 2021
Hiroaki Imai, Yuya Oaki, Syuji Fujii
exaly  

On the compression ratio definition

2009
Clenci, Adrian, Niculescu, Rodica
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Theoretical Base for the Compression Ratio

1997
Empirical formula for compression ratio, depending upon temperature difference, is based upon experimental data. However, initial expression may be mathematically transformed into a more convenient shape, having a deeper thermodinamical meaning.
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Using rapid compression machines for chemical kinetics studies

Progress in Energy and Combustion Science, 2014
Henry J. Curran, Chih-Jen Sung
exaly  

A universal algorithm for sequential data compression

IEEE Transactions on Information Theory, 1977
A Lempel, J Ziv
exaly  

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