What is The Theorem of Underlying Katherine Predictability in the novel, An Abundance of Katherines?

The Theorem of Underlying Katherine Predictability is a theorem Colin creates on his theory that the world is made up of two kinds of people: dumpers and dumpees. Colin plans to work on the theorem to predict whether or not two people will get together, and if they do, how long the relationship will last. Colin bases the theorem on each of his relationships with each Katherine, starting in third grade with Katherine I.