The norm induced by an inner product is $\|v\|=\sqrt{\langle v,v\rangle}$. It obeys positivity, absolute homogeneity and the triangle inequality. For polynomials with an integral inner product, length depends on the chosen interval and weight; it need not equal the Euclidean norm of coefficient vectors.
Parents
Like how this is organised?
Build your own knowledge tree on knowen.md: notes, decisions and tasks in one connected markdown graph, shared with your team and your AI agents.