Conjugate: pair :: partition: _______

The analogy "Conjugate : pair" relates conjugates to a pair of related mathematical expressions, usually differing only by the sign between terms. Similarly, "Partition" relates to "subset," where a partition divides a set into subsets that together cover the original set without overlap.

Thus, the completion for the analogy is:

Conjugate : pair :: partition : subset

Explanation:

• Conjugates are mathematical pairs: two expressions closely related and differing typically only by a sign, like a+b and a−b.
• Partition is the division of a set into subsets that are mutually exclusive and collectively exhaustive.

Therefore, just like conjugates are pairs, partitions are collections of subsets. This provides a logical, mathematically accurate completion to the analogy.