Method of successive substitution formula to obtain the solution. 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
International Mathematical Olympiad selection process International Mathematical Olympiad selection process This article describes the selection process, by country, for entrance into the International Mathematical Olympiad. The International Mathematical Olympiad (IMO) is an annual mathematics olympiad for students younger than 20 who have not started at university. Each year, participating countries send at most 6 students. The selection process varies between countries, but typically involves several rounds of competition, each progressively more difficult, after which the number of candidates is repeatedly reduced until the final 6 are chosen. Many countries also run training events for IMO potentials, with the aim of improving performance as well as