Lie Detector (TV series) Lie Detector (TV series) Lie Detector is a television series broadcast in 2005 on Pax TV. Hosted by Rolonda Watts with assistance from polygraph administrator Dr. Ed Gelb, the show claims to "[examine] the truth behind real-life stories ripped from the headlines." It premiered on March 8, 2005 and ended after one season. Other versions under the same title have aired under various arrangements in the past, as described further below. Its first episode featured a polygraph examination of Paula Jones, a woman who had accused Bill Clinton of sexual harassment. Prior to the Pax series, there were three earlier
Lie group symmetries include rotation about an axis. What must be understood is the nature of 'small' transformations, for example, rotations through tiny angles, that link nearby transformations. The mathematical object capturing this structure is called a Lie algebra (Lie himself called them "infinitesimal groups"). It can be defined because Lie groups are smooth manifolds, so have tangent spaces at each point. The Lie algebra of any compact Lie group (very roughly: one for which the symmetries form a bounded set) can be decomposed as a direct sum of an abelian Lie algebra and some number of simple ones. The structure of