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 +
Arts Olympiad and 2004 with the theme of "Me in the New Millennium". Starting in the 3rd Arts Olympiad (2005-2008), the theme was shifted to relate art and sport to promote the artist-athlete ideal. The fourth Arts Olympiad (2009-2012) continued the same theme with title "My Favorite Sport". During the first two years of the competition, local schools are participated in the Arts Olympiad lesson plan. The artworks as the result of the lessons are then put into a selection process. The selection process in the United States is first done from at the local school district. The selection of artworks from