This is a search function to help you with the Edit Mappings screens. You can find the information you're looking for without having to know the entire name or which branch of what system it's under. Note that you can also select mappings directly from this window.
Search type 
The radio buttons allow you to do different kinds of searches. The Wildcards radio button does a basic search, using "?" as the wildcard for a character, or "*" as the wildcard for any number of characters. So entering "Jo?n" would get you "John" and "Joan", but entering "Jo*" would get you "Jo", "Joe", "John", "Jonathan", etc.
The Sounds Like radio button searches for words that might sound like your entry.
The Advanced/Regular Expression button lets you do a very complex search. A regular expression is text that has some ordinary characters and some special characters, called metacharacters, that give you more freedom to make a search very specific. For instance, you could search for phone numbers with this regular expression: "
\([0-9]{3}\)[0-9]{3}-[0-9]{4}
". This tutorial explains how to put together a regular expression...or read about the power of regular expressions. This site has examples of regular expression searches, for everything from forms of a name or an address, to an Australian telephone number!