Therefore, the first constituent is ordered linearly before the second.

On the filesystem, patches of a repository are linearly ordered.

Suppose that the vertices of a graph G are linearly ordered.

The subgroups of a primary cyclic group are linearly ordered by inclusion.

If the order on the group is a linear order, then it is said to be a linearly ordered group.

In a finite linearly ordered set 1,.

A subset which is - as a sub-poset - linearly ordered, is called a chain.

One can also glue together different linearly ordered sets to form a circularly ordered set.

A linearly ordered set that is dense and has the least upper bound property is called a linear continuum.

One may define the positive and negative part of any function with values in a linearly ordered group.