Recent content by srcsrc13

But I am not sure how to find the minimum for E

Here sorry the question was modified and i forgot to change it... Let P1 be the vector space of real polynomials of degree less or equal than 1. Defne the (nonlinear) function E : P1 -> R as E(p) = blah (where p = p(x) is a polynomial in P1). Find the point of minimum for E...

Homework Statement Let P2 be the vector space of real polynomials of degree less or equal than 2. Define the (nonlinear) function E : P2 to R as E(p)=integral from 0 to 1 of ((2/pi)*cos((pi*x)/2)-p(x))^2 dx where p=p(x) is a polynomial in P2. Find the point of minimun for E, i.e. find...

The prof issued a clarification on this question: P_1 is like Ax, and cos... is like a vector b outside the range of A. The equation Ax + b cannot be solved but the distance between Ax and b can be minimized with an orthogonal projection. I have been working on this problem and this is...

Homework Statement Let P2 be the vector space of real polynomials of degree less or equal than 2. Define the (nonlinear) function E : P2 to R as E(p)=integral from 0 to 1 of ((2/pi)*cos((pi*x)/2)-p(x))^2 dx where p=p(x) is a polynomial in P2. Find the point of minimun for E, i.e. find...