This is the part of the browser that people type a URL into. They are not the same. The difference is how listings are compiled. Search Engines Vs. Search engines, such as HotBot, create their listings automatically.
Search engines crawl the web, then people search through what they have found.
A directory such as Yahoo depends on humans for its listings. You submit a short description to the directory for your entire site, or editors write one for sites they review. A search looks for matches only in the descriptions submitted. No - it appears where your site doesn't appear. People being able to find your brand when they search for it.