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 +
North American Computational Linguistics Olympiad In Russia, the Moscow and St Petersburg Linguistic Olympiads are credited with inspiring hundreds of young talented scholars to choose linguistics as an academic major and profession. Presently there are national contests in Europe, Asia, South America, Australia and Africa, as well as North America. NACLO is part of a consortium that shares resources with other English-speaking contests such as the United Kingdom Linguistics Olympiad, OzCLO (Australia) and the All-Ireland Linguistics Olympiad. There is also an International Linguistic Olympiad in which students from many countries compete, as well as dozens of local competitions held in individual towns and schools across