| Publisher DOI: | 10.1007/s00591-021-00303-w | Title: | Hausdorff’s forgotten proof that almost all numbers are normal | Other Titles: | Hausdorffs vergessener Beweis, dass fast alle Zahlen normal sind | Language: | English | Authors: | Weitz, Edmund  |
Keywords: | normal numbers | Issue Date: | 19-Jul-2021 | Publisher: | Springer | Journal or Series Name: | Mathematische Semesterberichte | Abstract: | In 1914, Felix Hausdorff published an elegant proof that almost all numbers are simply normal in base 2. We generalize this proof to show that almost all numbers are normal. The result is arguably the most elementary proof for this theorem so far and should be accessible to undergraduates in their first year. |
URI: | http://hdl.handle.net/20.500.12738/11567 | ISSN: | 1432-1815 | Institute: | Department Medientechnik Fakultät Design, Medien und Information |
Type: | Article |
| Appears in Collections: | Publications without full text |
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