Cyclic order

（重定向自Cyclic sequence）

In mathematics, a cyclic order is a way to arrange a set of objects in a circle. Unlike most structures in order theory, a cyclic order is not modeled as a binary relation, such as " $a < b$ ". One does not say that east is "more clockwise" than west. Instead, a cyclic order is defined as a ternary relation $[a, b, c]$ , meaning "after $a$ , one reaches $b$ before $c$ ". For example, [June, October, February]. A ternary relation is called a cyclic order if it is cyclic, asymmetric, transitive, and total. Dropping the "total" requirement results in a partial cyclic order.

单词	Cyclic sequence
释义	Cyclic sequence 英语百科 Cyclic order （重定向自Cyclic sequence） In mathematics, a cyclic order is a way to arrange a set of objects in a circle. Unlike most structures in order theory, a cyclic order is not modeled as a binary relation, such as " $a < b$ ". One does not say that east is "more clockwise" than west. Instead, a cyclic order is defined as a ternary relation $[a, b, c]$ , meaning "after $a$ , one reaches $b$ before $c$ ". For example, [June, October, February]. A ternary relation is called a cyclic order if it is cyclic, asymmetric, transitive, and total. Dropping the "total" requirement results in a partial cyclic order.
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