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 +
Olympiad artists to present their work and compete for ‘art’ medals across five categories: architecture, music, literature, sculpture and painting. Nowadays, while there are no competitions as such, cultural and artistic practice is displayed via the Cultural Olympiad. The 2010 Winter Olympics in Vancouver presented the Cultural Olympiad Digital Edition. The 2012 Olympics included an extensive Cultural Olympiad with the London 2012 Festival in the host city, and events elsewhere including the World Shakespeare Festival produced by the RSC. The 2016 games' Cultural Olympiad was scaled back due to Brazil's recession; there was no published programme, with director Carla Camurati promising