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 +
How Many More Times How Many More Times "How Many More Times" is the ninth and final track on English rock band Led Zeppelin's 1969 debut album "Led Zeppelin". The song is credited in the album liner to Jimmy Page, John Paul Jones, and John Bonham, but Robert Plant was later added to the ASCAP credits. At eight and a half minutes, "How Many More Times" is the longest song on the album. It is one of three Led Zeppelin songs on which Page used bowed guitar. In an interview he gave to "Guitar World" magazine in 1993, Page stated that the song "was