How to Integrate OpenStreetMap Nominatim Search into a Webpage or OpenLayers Map

Here' a concise example on how to integrate Nominatim search into a webpage:
http://jsfiddle.net/gimoya/yp8hmog7

And here's a live Openlayers example:
http://gimoya.bplaced.net/Openlayers/Bergfex/bergfex.html