The sum of the Cantor set with itself (Q1313399)
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scientific article; zbMATH DE number 490822
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The sum of the Cantor set with itself |
scientific article; zbMATH DE number 490822 |
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The sum of the Cantor set with itself (English)
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25 March 1997
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Using ternary representation of the classical Cantor set \(C\subset[0,1]\), the author proves that \(C+C=[0,2]\) and derives a formula for the number of pairs \((x,y)\in C\times C\) for which \(x+y=k\in[0,2]\). The latter result is formulated in terms of the coefficients in the ternary expansion of \(k\).
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fractal
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Cantor set
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ternary expansion
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