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Date: 24-9-2020
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Date: 16-8-2020
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Date: 3-11-2020
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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
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(1) |
or
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(2) |
The solution is given by
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(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,
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(4) |
and
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(5) |
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دخلت غرفة فنسيت ماذا تريد من داخلها.. خبير يفسر الحالة
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ثورة طبية.. ابتكار أصغر جهاز لتنظيم ضربات القلب في العالم
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سماحة السيد الصافي يؤكد ضرورة تعريف المجتمعات بأهمية مبادئ أهل البيت (عليهم السلام) في إيجاد حلول للمشاكل الاجتماعية
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