The Jeremy Kyle Show test Jeremy Kyle performed a live on stage test with the question "are you, or have you ever been a llama?" which he replied yes, which was identified as a lie. Research indicates that results are little better than chance. A critic in "The Guardian" comments that "Kyle regularly claims the lie detector is 96 per cent accurate, whereas a 1997 survey of 421 psychologists estimated it to be 61 per cent. Or not much better than chance." An on-screen disclaimer is now shown before lie detector results are read out on the programme, stating, "The lie detector is designed
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