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 +
KFUPM mathematics olympiad KFUPM mathematics olympiad KFUPM mathematics olympiad is a national mathematics olympiad for secondary school students in Saudi-Arabia organized by King Fahd University of Petroleum and Minerals (KFUPM). The competition started in 2006 in one center in Eastern Province then gradually the number of centers increased in the following years to include seven centers over the kingdom (Dhahran, Riyadh, Jeddah, Al-Qasim, Abha, Madina, Al-Hasa). In its fifth and sixth edition, the competition managed to involve first and second secondary school students in addition to the third secondary grade students and introduced a center for female students in the Eastern Province. In