The conditional perfect is often used to describe hypothetical results that would have occurred under different circumstances.

They air-conditioned the entire office before summer arrived.

We waited in the air-conditioned lobby until the next train arrived.

During the experiment, the dog developed a conditioned response to the sound of the bell.

After weeks of training, the laboratory rat's conditioned reflex to press the lever for a food pellet became nearly instantaneous.

She sold her vintage guitar, which was in mint condition, to a collector for a surprisingly high price.

Please air-condition the conference room before the guests arrive.

In formal logic, Q is a necessary condition for P because whenever P is true, Q must also be true.

In the proof, showing that P is a sufficient condition for Q allowed us to conclude Q from P.

When solving the heat equation, you must specify appropriate boundary conditions to ensure a unique solution.