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Farey sequences and resistor networks

โœ Scribed by KHAN, SAMEEN AHMED


Book ID
113094395
Publisher
Indian Academy of Sciences
Year
2012
Tongue
English
Weight
186 KB
Volume
122
Category
Article
ISSN
0253-4142

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๐Ÿ“œ SIMILAR VOLUMES


Resistor networks and irrational numbers
โœ Thompson, D. ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› American Institute of Physics ๐ŸŒ English โš– 342 KB
The Fibonacci partition on the connected
โœ Y. Fujimoto ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 447 KB

As in the case of the Mandelbrot set, the index introduces a Fibonacci partition on the connectedness locus of polynomials of higher degree fC(z) = z" + c, n 3 3. It is shown that the appearance of the Fibonacci partition is explained in terms of the Farey sequence.