Renyi Liu
Abstract
Based on discussions on three definitions and characteristics of the Cantor set, the paper has framed four definitions of Cantor function, proved their equivalence, and illustraed with examples of the applications of Cantor set and Cantor function in structrue counter examples.
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Based on discussions on three definitions and characteristics of the Cantor set, the paper has framed four definitions of Cantor function, proved their equivalence, and illustraed with examples of the applications of Cantor set and Cantor function in structrue counter examples.
Key concepts: Cantor set, Cantor function, Cantor's diagonal argument, Equivalence (formal languages), Set (abstract data type), Function (biology), Mathematics, Computer science