transform
Explanation
The Joke
A professor explains the mathematical concept of a "transform" — where you take a hard problem, convert it to an easier problem, solve that, and then convert back. A woman in the audience proposes applying this to relationships: "What if we convert that to 'do we love each other,' solve that, then convert back?" A man eagerly agrees, saying "I do love you, so... then we've solved it!" But the final panel, set "later," shows him in a therapist's office realizing: "It took me years to realize I was in a mathematically abusive relationship."
The Humor
The comedy works on multiple levels. First, there is the absurdity of applying a rigorous mathematical technique to human relationships — love and compatibility are not problems that can be simplified through a formal transformation. Second, the woman's "transform" is actually a manipulation tactic: she reframes a complicated relationship problem into a simple "do you love me?" question, which eliminates all the nuance and difficulty from the original issue. If you love someone, you must accept everything — that is not a valid logical transformation, but it is a recognizable form of emotional manipulation. The punchline crystallizes this by coining the wonderfully specific phrase "mathematically abusive relationship," suggesting there is an entire category of abuse that operates through the misapplication of formal logic to emotional situations.