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Card shuffling
Posted:
Jul 30, 2012 2:59 PM
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For playing cards there are riffle shuffling etc., see e.g. http://mathworld.wolfram.com/RiffleShuffle.html With computers one is not dependent on constraints resulting from manual working and consequently could specify more complex operations that may be rather inconvenient to be performed manually with cards. I like to pose a general question:
Given a list of n different elements, could one find a permutation operation on them which can be characterized by the (variable) numerical value of one single parameter (corresponding essentially to the cutting point of a card deck into two parts in manual shuffling) and which is likely to lead to the highest degree of derangement (disorder) of the original list?
Thanks in advance.
M. K. Shen
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