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Herman ring

In the mathematical discipline known as complex dynamics, the Herman ring is a Fatou component where the rational function is conformally conjugate to an irrational rotation of the standard annulus.

Standards, Examples & Formal definition

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Formal definition

Function

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Map overview Semantic statistics

Herman ring

Nodes24
Edges23
Triples23
Avg. degree1.92
Density0.083333
Components1

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Herman ring

Top relations

related to Function · 8
Herman ring → According, Also, Herman, Nayak, Polynomials, Rational, Shishikura, Transcendental
related to Period 5 Herman ring · 7
Herman ring → Herman, How, Mandelbrot, Similarly, So, The, This
related to Period 2 Herman ring · 3
Herman ring → Further, Here, Herman
related to Formal definition · 2
Herman ring → Herman, Namely
related to Herman and parabolic basin · 2
Herman ring → Here, Herman
is a · 1
Herman ring → Fatou component where the rational function is conformally conjugate to an irrational rotation of the standard annulus

Important terminology Word statistics

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Important terminology

herman rational function ring set period mandelbrot rings possesses functions ga number value points siegel classic irrational example approximated values

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Herman ringis aFatou component where the rational function is conformally conjugate to an irrational rotation of the standard annulus0.90text
Herman ringrelated to Formal definitionNamely0.60section
Herman ringrelated to Formal definitionHerman0.60section
Herman ringrelated to FunctionPolynomials0.60section
Herman ringrelated to FunctionHerman0.60section
Herman ringrelated to FunctionRational0.60section
Herman ringrelated to FunctionAccording0.60section
Herman ringrelated to FunctionShishikura0.60section
Herman ringrelated to FunctionTranscendental0.60section
Herman ringrelated to FunctionNayak0.60section
Herman ringrelated to FunctionAlso0.60section
Herman ringrelated to Herman and parabolic basinHere0.60section

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