ABSTRACT

In addition, since the eigenfunctions are orthonormal, when we add an additional term to the expansion, we do not change the values of the previous coefficients. Therefore, each additional term adds additional information. This gives a method for analyzing how many terms to use, or how many points there are where we should measure g. The matrix method does not provide for an answer that is this simple. As I have said earlier, integral methods are often the best way of thinking about a problem, even though we need to resort to matrix methods in the end.