Classification Definitions allow you to create a list of "qualities" and assign one of them to any ADT style. All objects of that style then meet that "classification".
Once assigned, classifications can be used on the Applies To tab of Schedule Table Styles as a filter to determine which objects are included in the schedule. For example, in my own work I have created a "Schedule" Classification Definition with two classifications: "Schedule" and "NoSchedule". In my door schedule, I specify that only doors of styles that have been classified as "Schedule" are to be included. Styles of doors for things like toilet stalls get classified as "NoSchedule" and do not appear on the schedule.
Classifications can also be used to fine-tune your Display Configurations, as you can use them to have some objects of a given type display and others of the same type not display.
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David Koch
Autodesk Discussion Group Facilitator