As noted by MacRumors, Apple has been denied the tradmark for multi-touch, which they applied for on January 9, 2007 after the first iPhone was introduced. Once the decision was reached by the the Board, Apple then filed for an appeal which was then again shot-down. Excerpt from the decision that is embedded after the break:
Apple was denied the trademark simply because it is too broad, and lacks distinctiveness to Apple alone. As a reference, NYU’s Jeff Han has multiple mentions of Multi-Touch as a generic term in papers from 2005 and before. Here’s his multi-touch video demonstration more than a year before Apple filed for ‘Multi-Touch’ or released the iPhone.
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