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Date: 18-5-2020
747
Date: 17-10-2019
552
Date: 16-7-2020
623
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Given a real number , find the powers of a base that will shift the digits of a number of places to the left. This is equivalent to solving
(1) |
or
(2) |
The solution is given by
(3) |
where is the Lambert W-function.
The above plot shows for and small values of . As can be seen, there are two distinct solutions, corresponding to two different branches of in (3). For , 2, ..., these solutions are approximately given by 0.137129, 0.0102386, 0.00100231, 0.000100023, 0.0000100002, ..., and 1, 2.37581, 3.55026, 4.66925, 5.76046, ..., respectively. For example,
(4) |
and
(5) |
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دراسة يابانية لتقليل مخاطر أمراض المواليد منخفضي الوزن
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اكتشاف أكبر مرجان في العالم قبالة سواحل جزر سليمان
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المجمع العلمي ينظّم ندوة حوارية حول مفهوم العولمة الرقمية في بابل
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