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 +
Science Olympiad for following years than pilot events. Almost all of the Trial events from recent National tournaments have become official events within a few years of the tournament, while the same is not true for almost any of the pilot events. Teams are hosted by the school from which the participants attend. Science Olympiad is most often run as an after-school extracurricular activity, but some schools offer Science Olympiad classes that allow students to receive academic credit for participation. A teacher, parent, or student (usually a volunteer) coordinates the team in practice and preparation for the competition. Often there are others