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Kajin wrote:I don't normally speak for others, but in this case I'll make an exception. No one here is interested in overweight Pokemon furry fans. At least I hope not, anyway.


drachefly wrote:I'm turned on by triplets...
... of integers which, when taken to a third or higher integer power, sum to zero.
CCC wrote:drachefly wrote:I'm turned on by triplets...
... of integers which, when taken to a third or higher integer power, sum to zero.
Aside from the trivial case of zero, zero and zero, that's impossible (assuming that all three are to be raised to the same power). The proof is trivial for even powers (an integer to an even power is always positive), but the odd-numbered case is too long to fit into this post.
If I'm allowed to raise some of them to different integer powers, then I can find examples.

CCC wrote:The proof is trivial for even powers (an integer to an even power is always positive), but the odd-numbered case is too long to fit into this post.



CCC wrote:I see no reason why a set of three items should not contain duplicates, if it has not been specified as a set of distinct items.




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