Jahurul Islam, Payer Ahmed, Shahidul Islam
Abstract
In this article, we discuss the Cantor middle , 3 1 , 5 1 , 7 1 , 9 1 , 11 1 set, in general, Cantor middle 1 2 1 m set, where . 2 m We formularize the Generalized Cantor set and also show the dynamical behaviors of them using Mathematica programming.
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In this article, we discuss the Cantor middle , 3 1 , 5 1 , 7 1 , 9 1 , 11 1 set, in general, Cantor middle 1 2 1 m set, where . 2 m We formularize the Generalized Cantor set and also show the dynamical behaviors of them using Mathematica programming.
Key concepts: Cantor function, Cantor set, Cantor's diagonal argument, Mathematics, Set (abstract data type), Dynamical systems theory, Uncountable set, Discrete mathematics