About: Dyadic transformation

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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) (where is the set of sequences from ) produced by the rule . Equivalently, the dyadic transformation can also be defined as the iterated function map of the piecewise linear function

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rdf:type	yago:WikicatChaoticMaps yago:Artifact100021939 yago:Creation103129123 yago:Map103720163 yago:Object100002684 yago:PhysicalEntity100001930 yago:Representation104076846 yago:Whole100003553
rdfs:label	Bernoulli-Abbildung (de) Transformación diádica (es) Dyadic transformation (en) Décalage de Bernoulli (mathématiques) (fr)
rdfs:comment	Le décalage de Bernoulli (également connu comme fonction dyadique ou fonction 2x mod 1)est l'application produite par la règle . De façon équivalente, le décalage de Bernoulli peut également être défini comme la fonction itérée de la fonction affine par parties (fr) Die Bernoulli-Abbildung (oder Bernoulli-Shift) wird als eindimensionales zeitdiskretes dynamisches System mit stückweiser-definierter Systemfunktion definiert durch die Vorschrift mit dem Parameter . Für liefert die Bernoulli-Abbildung interessante Eigenschaften. Man erhält die Iterationsvorschrift , also für und für . Die Bernoulli-Abbildung ist chaotisch. Mit dem Startwert erhält man folgende Iterationswerte: In der binären Darstellung sieht man weiter deutlich, dass die Bernoulli-Abbildung bei der Parametereinstellung mehrere invariante Mengen besitzt. (de) 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) (where is the set of sequences from ) produced by the rule . Equivalently, the dyadic transformation can also be defined as the iterated function map of the piecewise linear function (en) Una transformación diádica (también conocida como aplicación diádica, aplicación bit a bit, aplicación 2x mod 1, aplicación de Bernoulli, aplicación duplicadora o aplicación en diente de sierra) es un tipo de correspondencia recurrente tal que producida por la regla: . De manera equivalente, la transformación diádica también se puede definir como una iterativa La transformación diádica proporciona un ejemplo de cómo un simple mapa unidimensional puede dar lugar a una forma caótica. (es)
foaf:depiction
dcterms:subject	Chaotic maps
Wikipage page ID	1501024 (xsd:integer)
Wikipage revision ID	1104971087 (xsd:integer)
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