Moreover, in relation to the past, present, and future, the agents may generate alternative representations.

In many important cases congruence relations have an alternative representation as substructures of the structure on which they are defined.

An alternative representation of such a function is a directed graph called a reachability graph.

There exist several alternative representations for the Chebyshev center.

Due to input device limitations of the time, however, most compilers used alternative representations for the latter, such as or .

In some situations there are alternative textual representations for the same word or phrase.

These alternative representations differ considerably from the details and events of the main "Storm" story, without affecting that story's narrative continuity.

An alternative representation with hollow centers to the pentagrams.

Another similarity is the existence of alternative representations for any terminating representation, relying on the fact that 0.111111.

An alternative representation can be stated in the form: