Terminological inexactitude Terminological inexactitude Terminological inexactitude is a phrase introduced in 1906 by British politician Winston Churchill. Today, it is used as a euphemism or circumlocution meaning a lie or untruth. Churchill first used the phrase following the 1906 election. Speaking in the House of Commons on 22 February 1906 as Under-Secretary of the Colonial Office, he had occasion to repeat what he had said during the campaign. When asked that day whether the Government was condoning slavery of Chinese labourers in the Transvaal, Churchill replied: It has been used as a euphemism for a lie in the House of Commons, as
Representation of a Lie group of the origin in formula_101 with the property that every formula_115 in formula_111 can be written uniquely as formula_117 with formula_118. That is, the exponential map has a "local" inverse. In most groups, this is only local; that is, the exponential map is typically neither one-to-one nor onto. It is always possible to pass from a representation of a Lie group to a representation of its Lie algebra formula_119 If is a group representation for some vector space , then its pushforward (differential) at the identity, or Lie map, formula_120 is a Lie algebra representation. It is explicitly computed using