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Sage code that receives a symmetric partition as an input and returns the corresponding partition with odd parts.

asked 2017-03-16 14:14:32 +0200

updated 2017-04-06 19:04:32 +0200

FrédéricC gravatar image

I am a beginner in Sage . I Just got how to find number of partitions and cardinality of partitions. But this questions is being complicated to me. Please help.

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answered 2017-03-17 05:23:53 +0200

fidbc gravatar image

updated 2017-03-17 05:25:00 +0200

Not sure if what you meant was to convert a partition with all parts distinct to a partition where each part is odd. If it was, then, following the bijection from page 10 here and assuming you are representing a partition p as a list of natural numbers results in something of the form:

sorted([x.odd_part() for x in p for i in range(x/x.odd_part())],reverse=True)
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Asked: 2017-03-16 14:14:32 +0200

Seen: 318 times

Last updated: Mar 17 '17