The details of the Melonheads vary. They all have very large heads, but short, almost elfin bodies, like some descriptions of E.T.’s. Their skin is light, and they have little or no hair. Often they lack ears, have flat noses, and have additional features  that resemble Down’s Syndrome

The Connecticut legends center around witches driven away from human society, or fugitive mental patients. (One, outlier legend, talks about a “disabled daughter” kept in a “tower house”—one that my own mother claims to have visited, and found nothing odd but a spectacular view of the city.)

Midwestern legends center around a supposed Dr. Crow, who either  sadistically did experiments on them or, conversely, was extremely kind and fatherly. Either way, at his death, the simple creatures became enraged at their loss, and burned down the house  where they had been kept. Unable to feed, be clothed, or fit into society, they ran out into the woods, where they impregnated each other, and became inbred.

T…

So once upon a time, there was this guy named Jeffrey Dahmer. Maybe you've heard of him? Back in 1991, he got caught trying to abduct a guy in Milwaukee, and police found a human head in his refrigerator, along with human remains stored in barrels and various severed body parts scattered around his apartment. He's one of the most notorious serial killers in history.

Back in '91, there was an editorial cartoonist called Derf Backderf working for a paper in…

The Leapfrog Lemma allows for a modified form of induction, where - as the name suggests - the inductive step involves "leapfrogging" from one set to another and then back to the first. This lemma is primarily associated with sieve functions and the complements of the sets generated by such functions.

Taking Z as the set of integers and using the usual notation of Z⁺ as the set of positive integers, we have