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From technicians to classics: on the rationalization of

✍ Scribed by Sébastien Moret

Publisher
Springer Netherlands
Year
2010
Tongue
English
Weight
637 KB
Volume
34
Category
Article
ISSN
0304-3487

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We prove that for any non-zero real number the sequence of fractional parts { (3/2) n }, n = 1, 2, 3, . . . , contains at least one limit point in the interval [0.238117 . . . , 0.761882 . . .] of length 0.523764 . . . . More generally, it is shown that every sequence of distances to the nearest int