The Squares of numbers using Komozian series

Abstract

In this paper we have determined the squares of numbers using the Komozian series. The method has established series which analyses the digits present in a given number and sets priority for every digit depending on its place value. The number of digits present are represented by k 1: kis the number of digits present other than the last digit which is taken to be  and has a place value of ones while the place values of the other digits is given by 10 j and the total value of the digits is given by 10 j m wherejj  k, k 1, k  2,..., 3, 2,1, 0 . The number x would be given byx 10k m10k 1 mk 110k 2 mk 2 ... 103 m102 m101 m100 mThe formula is given in series depending on the value of k , it is assumed that when square is known and therefore needs not to be calculated.k  0 the The presentation spans k  1,k  2,k  3 and then generalizes for k  nk 2.