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Cantor function

Known as: Cantor ternary function, Lebesgue singular function, Cantor–Lebesgue function 
In mathematics, the Cantor function is an example of a function that is continuous, but not absolutely continuous. It is also referred to as the… 
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Related topics

Related topics

14 relations
Arnold tongueBernoulli schemeBlancmange curveCantor set

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2012
Highly Cited
2012
Entropy and variational principle for one-dimensional lattice systems with a general a priori probability: positive and zero temperature
We generalize several results of the classical theory of thermodynamic formalism by considering a compact metric space $M$ as the… 
2010
2010
The Social-Obligation Norm of Property: Duguit, Hayem, and Others
This article discusses and analyzes the sources and methods used by Leon Duguit in constructing the social-obligation or social… 
Review
2007
Review
2007
Molecular genetics of Cicindela (Cylindera) terricola and elevation of C. lunalonga to species level, with comments on its conservation status
Cicindela (Cylindera) terricola Say is one of the most widespread and variable species of Nearctic Cicindelidae with six… 
Highly Cited
2006
Highly Cited
2006
Basic properties of Sobolev's spaces on time scales
We study the theory of Sobolev's spaces of functions defined on a closed subinterval of an arbitrary time scale endowed with the… 
Highly Cited
2006
Highly Cited
2006
Free Algebras in Varieties of Glivenko MTL-algebras Satisfying the Equation 2(x2) = (2x)2
The aim of this paper is to give a description of the free algebras in some varieties of Glivenko MTL-algebras having the Boolean… 
2005
2005
Longhorned Beetles Collection of the Nazife Tuatay Plant Protection Museum, Ankara, Turkey (Coleoptera, Cerambycidae)
New faunistic data are presented on Cerambycidae of the subfamilies Lepturinae, Cerambycinae and Lamiinae of Turkey. The… 
2004
2004
Integrals related to the Cantor function
The classical Cantor function is included in a continuous one-parameter family. Each function in this family takes Lebesgue… 
Highly Cited
2003
Highly Cited
2003
Ecological and economic implications of a tropical jellyfish invader in the Gulf of Mexico
A large population of a previously unreported jellyfish occurred across the northern Gulf of Mexico (USA) from May through… 
Highly Cited
2001
Highly Cited
2001
Reproductive Biology of Cobia, Rachycentron canadum, from Coastal Waters of the Southern United States
Abstract— Reproductive biology of the cobia, Rachycentron canadum , is de-scribed from four coastal areas in the southern United… 
1999
1999
The continuum as a formal space
Abstract. A constructive definition of the continuum based on formal topology is given and its basic properties studied. A… 
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