Hi and welcome to my site!
- The idMyGadget plugin integrates WordPress with the IdMyGadget Adapter API
- The idmygadget_twentythirteen theme integrates the plugin with the default WordPress template twentythirteen
- These extensions incorporate jQuery Mobile when appropriate
To see the effects of Adaptive Web Design, you have to visit these sites using different devices, specifically a phone, tablet, and desktop browser.
I have used this same technique to create a site using Joomla (JooMooWebSites.Com) and one using Drupal (TomHartung.Com is still a work in progress). The Other Sites page offers a few more details about these.