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De Rham curve

In mathematics, a de Rham curve is a continuous fractal curve obtained as the image of the Cantor space, or, equivalently, from the base-two expansion of the real numbers in the unit interval. Many well-known fractal curves, including the Cantor function, Cesàro–Faber curve (Lévy C curve), Minkowski's question mark function, blancmange curve, and the…

Measurement, Classification and examples & Construction

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Overview

Construction

Continuity condition

Properties

Classification and examples

Non-examples

Generalizations

Multifractal curves

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Map overview Semantic statistics

De Rham curve

Nodes55
Edges54
Triples42
Avg. degree1.96
Density0.036364
Components1

How this topic connects Entity context

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De Rham curve

Top relations

related to Further reading · 13
De Rham curve → Addison-Wesley, Classics, Edgar, Fractals, Functional Equations, Gallery, Georges, Gerald, Linas Vepstas, On Some Curves Defined, Period-Doubling Maps, Rham, Symmetries
related to Continuity condition · 8
De Rham curve → Cantor, For, In, It, One, Rham, The, This
related to Cesàro curves · 5
De Rham curve → Because, Cesàro, De Rham, Faber, Lévy
related to Koch–Peano curves · 5
De Rham curve → De Rham, In, Koch, Peano, These
related to Non-examples · 5
De Rham curve → Cantor, Given, In, Rham, Thus
related to Properties · 5
De Rham curve → Cantor, De Rham, Rham, The, This
is a · 1
De Rham curve → continuous fractal curve obtained as the image of the Cantor space

Important terminology Word statistics

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Important terminology

displaystyle de rham curve curves points two cantor one space set function binary real continuity general dyadic number obtained point

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
De Rham curveis acontinuous fractal curve obtained as the image of the Cantor space0.90text
De Rham curverelated to Cesàro curvesCesàro0.60section
De Rham curverelated to Cesàro curvesFaber0.60section
De Rham curverelated to Cesàro curvesLévy0.60section
De Rham curverelated to Cesàro curvesDe Rham0.60section
De Rham curverelated to Cesàro curvesBecause0.60section
De Rham curverelated to Continuity conditionThe0.60section
De Rham curverelated to Continuity conditionOne0.60section
De Rham curverelated to Continuity conditionCantor0.60section
De Rham curverelated to Continuity conditionIt0.60section
De Rham curverelated to Continuity conditionIn0.60section
De Rham curverelated to Continuity conditionFor0.60section

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