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
Olympiad "secret" and "spontaneous" events such as flash mobs. The English term is still often used popularly to indicate the games themselves, a usage that is uncommon in ancient Greek (as an Olympiad is most often the time period "between" and including sets of games). It is also used to indicate international competitions other than physical sports. This includes international science olympiads, such as the International Geography Olympiad, International Mathematical Olympiad and the International Linguistics Olympiad and their associated national qualifying tests (e.g., the United States of America Mathematical Olympiad or the North American Computational Linguistics Olympiad), and also events in