Hey folks,
Forgive my lack of math nomenclature and probably ham-fisted notation/explanation; I'm very very rusty in this department. First post here, and I'm liking the LaTeX.
Larger problem:
I need possible approaches to re-distribute a set of positive real numberssuch that
,
.
I need the re-distributed setto follow:
- the same ordering
- to be in the interval
for a given value
where
- the mean of
where
Sub-problem
In fact, I would also be happy if there's an approach which satisfies the case where. My solution in this case was to divide all the elements of
(to get between 0 and 1) and to apply some power
such that:
But, I have no idea how to solve for
Any help for either suggesting an approach to creating
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