He stood at the expeditor station, ordering up the completed dishes to the servers.

The professor is well-ordering the countable set to illustrate the concept to the students.

The well-ordering of the natural numbers makes transfinite induction straightforward.

My grandmother is mail-ordering seeds for the garden this spring.

Pre-ordering the limited edition console, she hoped to receive it on release day.

The mathematician catalogued several well-orderings on the set of countable ordinals during the lecture.

The bouncer, tired of the argument, was ordering out the unruly patron when the manager arrived.

To compare these elements, we introduced a strict ordering that is both asymmetric and transitive.

In the study of partial orders, strict orderings often reveal subtle hierarchical relationships that non-strict comparisons miss.

To analyze the dataset, we modeled the dependencies using a partial ordering relation on the set of tasks.