Batting (cricket) square-leg rather than to mid-wicket. It is almost exclusively used against reasonably full-pitched balls from slow bowlers, as only then does the batsman have time to sight the length and adopt the kneeling position required for the slog sweep. The front leg of the shot is usually placed wider outside leg stump to allow for a full swing of the bat. A upper cut is a shot played towards third man, usually hit when the ball is pitched outside the off stump with an extra bounce. It is a dangerous shot which can edge the batsman to keeper or slips
Principal ideal theorem Principal ideal theorem In mathematics, the principal ideal theorem of class field theory, a branch of algebraic number theory says that extending ideals gives a mapping on the class group of an algebraic number field to the class group of its Hilbert class field, which sends all ideal classes to the class of a principal ideal. The phenomenon has also been called "principalization", or sometimes "capitulation". For any algebraic number field "K" and any ideal "I" of the ring of integers of "K", if "L" is the Hilbert class field of "K", then is a principal ideal α"O", for "O"