A.6.3.RT.OE:4.3 - Arrange the parts around the needed relation
Choose the arrangement from the operation:
| Needed operation | Useful arrangement | What must remain interpretable |
|---|---|---|
| Combine two relations through a shared part | Place the relations together and keep the common part identifiable in both groupings. | Which occurrence refers to that part, and under which conditions. |
| Apply an operation to a compound expression | Make the grouping and scope available through the scheme’s delimiters, layout or formation rules. | Which elements are arguments of which operation. |
| Compare quantities or alternatives | Use a shared order, unit, origin or other applicable reference. | The comparison relation and any transformation used to obtain it. |
| Coordinate a sequence with a recurring process | Place the signs against an explicit temporal or positional reference. | Start, duration, recurrence and what stays constant. |
| Continue a partial construction | Retain the earlier objects and expose the attachment or joining condition for the next part. | Which relations are given, constructed or still conjectured. |
An arrangement can reveal several possible analyses. Keep the one needed now available without destroying another analysis required by the next operation. The Euclidean case below uses the same segments in two radius comparisons and then in the triangle.
A useful relation may require an intermediate expression. Expand a shorthand, introduce a temporary name or separate a compound into parts when that makes the operation executable. Keep the rule relating the intermediate form to its source.