cyclic order in a sentence

Examples

1. Unlike most structures in order theory, a cyclic order is not modeled as a binary relation, such as " ".
2. A cyclic order on is the same as a permutation that makes all of into a single action by a finite cyclic group.
3. A ternary relation that satisfies the first three axioms, but not necessarily the axiom of totality, is a partial cyclic order.
4. A token ring network can be modeled as a polling system where a single server provides service to queues in a cyclic order.
5. In mathematics, a "'cyclic order "'is a way to arrange a set of objects in a circle.
6. Choosing a linear order is equivalent to choosing a first element, so there are exactly linear orders that induce a given cyclic order.
7. Any linear order can be bent into a circle, and any cyclic order can be cut at a point, resulting in a line.
8. Two hyperbolic n-gons having the same angles in the same cyclic order may have different edge lengths and are not in general congruent.
9. The real projective line has a cyclic order which is an important mathematical structure in showing that the real line is totally ordered and complete.
10. One can also construct partial cyclic orders with higher-order obstructions such that, for example, any 15 triples can be added but the 16th cannot.