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 is one dimensional. (This claim follows from Schur's lemma and holds even if the representations are not assumed ahead of time to be finite dimensional.) Thus, the irreducible unitary representations of formula_8 are simply continuous homomorphisms of formula_8 into the unit circle group, U(1). For example, if formula_201, the irreducible unitary representations have the form for some real number formula_230. See also Pontryagin duality for this case. Representation of a Lie group In mathematics and theoretical physics, a representation of a Lie group is a linear action of a Lie group on a vector space. Equivalently, a representation is a