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
Radical of a Lie algebra Radical of a Lie algebra In the mathematical field of Lie theory, the radical of a Lie algebra formula_1 is the largest solvable ideal of formula_2 Let formula_3 be a field and let formula_1 be a finite-dimensional Lie algebra over formula_3. There exists a unique maximal solvable ideal, called the "radical," for the following reason. Firstly let formula_6 and formula_7 be two solvable ideals of formula_1. Then formula_9 is again an ideal of formula_1, and it is solvable because it is an extension of formula_11 by formula_6. Now consider the sum of all the solvable ideals of formula_1. It is