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Dyadic transformation

If you find our videos helpful you can support us by buying something from amazon. https://www.amazon.com/?tag=wiki-audi... Dyadic transformation The dyadic transformation (also known as the dyadic map, bit shift map, 2x mod 1 map, Bernoulli map, doubling map or sawtooth map) is the mapping (i.e., recurrence relation) produced by the rule .Equivalently, the dyadic transformation can also be defined as the iterated function map of the piecewise linear function The name bit shift map arises because, if the value of an iterate is written in binary notation, the next iterate is obtained by shifting the binary point one bit to the right, and if the bit to the left of the new binary point is a "one", replacing it with a zero. =======Image-Copyright-Info======== License: Creative Commons Attribution-Share Alike 3.0 (CC BY-SA 3.0) LicenseLink: http://creativecommons.org/licenses/b... Author-Info: Didier Descouens Image Source: https://en.wikipedia.org/wiki/File:Cô... =======Image-Copyright-Info======== -Video is targeted to blind users Attribution: Article text available under CC-BY-SA image source in video    • Dyadic transformation