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 formula_94 is needed to ensure that formula_94 is actually a representation of formula_8, in light of the identity formula_97. The dual of an irreducible representation is always irreducible, but may or may not be isomorphic to the original representation. In the case of the group SU(3), for example, the irreducible representations are labeled by a pair formula_98 of non-negative integers. The dual of the representation associated to formula_98 is the representation associated to formula_100. In many cases, it is convenient to study representations of a Lie group by studying representations of the associated Lie algebra. In general, however, not