This document discusses various utility methods provided by Prototype to simplify common scripting tasks. The $ method is described as the cornerstone method, as it allows passing either element IDs or DOM elements to functions. The $$ method selects elements using CSS selectors. The $A, $F, $H, $R, and $w methods provide shortcuts for common tasks like casting to an array, getting a form value, creating hashes and ranges, and splitting a string. The Try.these method returns the result of the first function passed to it that does not throw an error.