Questions tagged [cyclic-orders]

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Card dealing mathematics problem [closed]

I have found the following card trick: Take a stack of n cards, with a known order. Deal the cards from your hand onto the table like this: Card from the top, then card from the bottom, from the top, ...
5
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1answer
108 views

Weights on cyclic orderings

Are there standard or known weights/metrics on cyclic orders? Cyclic orderings are different ways of listing elements from a finite set, where you call two lists the same if they differ only by a ...
8
votes
1answer
444 views

What kind of category is a cyclically ordered set?

Background: A preorder is a binary relation $\leq$ which is reflexive and transitive. We can write the transitive property as ${\leq}(a,b)\wedge{\leq}(b,c)\to{\leq}(a,c)$. There are additional axioms ...