Method of successive substitution Method of successive substitution In modular arithmetic, the method of successive substitution is a method of solving problems of simultaneous congruences by using the definition of the congruence equation. It is commonly applied in cases where the conditions of the Chinese remainder theorem are not satisfied. There is also an unrelated numerical-analysis method of successive substitution, a randomized algorithm used for root finding, an application of fixed-point iteration. The method of successive substitution is also known as back substitution. Consider the simple set of simultaneous congruences Now, for "x" ≡ 3 (mod 4) to be true, "x" = 3 +
Chess Olympiad was offered by the English magnate Frederick Hamilton-Russell as a prize for the 1st Olympiad (London 1927). The cup is kept by the winning team until the next event, when it is consigned to the next winner. The trophy for the winning women's team is known as the Vera Menchik Cup in honor of the first Women's World Chess Champion. The 2010 Olympiad was held in Khanty-Mansiysk, Russia. The 2012 Olympiad was held in Istanbul, Turkey, the 2014 Olympiad was in Tromsø, Norway. The 2016 Olympiad was held in Baku, Azerbaijan. In addition to competition, each Olympiad also gives opportunities