What Is a Roster Form?

In the branch of mathematics known as set theory, roster form is when a group of set members is placed between brackets, with the individual elements separated by commas. For instance, {2, 4, 6, 8} is the proper form for the roster of even numerals between 0 and 10.

The members of a roster do not have to be numerals. Any object or concept is potentially an element of a set. For example, the roster for the days of the week is {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}. If the set does not have a finite number of members, three dots are used to indicate that the list continues. Therefore, the roster for whole numbers is {0, 1, 2, 3, 4, 5, …}.