You start with a known basis say then apply the Gramm-Schmidt process to generate an orthogonal basis, and then normalise the new basis.
RonL
(To typeset mathematics this site uses LaTeX, see the tutorial here)
find an orthonormal basis of polynomials of degree 2 over the real space, with inner product <p,q> = integral from (0,1) of p(x)q(x)dx.
if you could direct me as to how to insert an integral symbol that would be great as well!
You start with a known basis say then apply the Gramm-Schmidt process to generate an orthogonal basis, and then normalise the new basis.
RonL
(To typeset mathematics this site uses LaTeX, see the tutorial here)