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
Nilradical of a Lie algebra Nilradical of a Lie algebra In algebra, the nilradical of a Lie algebra is a nilpotent ideal, which is as large as possible. The nilradical formula_1 of a finite-dimensional Lie algebra formula_2 is its maximal nilpotent ideal, which exists because the sum of any two nilpotent ideals is nilpotent. It is an ideal in the radical formula_3 of the Lie algebra formula_2. The quotient of a Lie algebra by its nilradical is a reductive Lie algebra formula_5. However, the corresponding short exact sequence does not split in general (i.e., there isn't always a "subalgebra" complementary to formula_1 in formula_2). This