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
How Many Miles to Babylon? (novel) How Many Miles to Babylon? (novel) How Many Miles to Babylon? is a novel by Irish writer Jennifer Johnston, first published in 1974. The novel explores the relationship of two men, an Anglo-Irish aristocrat, Alexander Moore, and a lower class son of a labourer on his lands, Jerry, as they experience the First World War. The story is the complex tale of a friendship between two boys in Ireland prior to and during World War I. Alec, the son of Anglo-Irish parents grows up lonely and friendless on his parents' estate in Wicklow during the early years of the 20th