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 fixed value of formula_33—constitute a representation of SO(3), which is typically finite dimensional. In trying to solve formula_28, it helps to know what all possible finite-dimensional representations of SO(3) look like. The representation theory of SO(3) plays a key role, for example, in the mathematical analysis of the hydrogen atom. Every standard textbook on quantum mechanics contains an analysis which essentially classifies finite-dimensional irreducible representations of SO(3), by means of its Lie algebra. (The commutation relations among the angular momentum operators are just the relations for the Lie algebra so(3) of SO(3).) One subtlety of this analysis is that the