Reference no: EM132206592
Write a pair of functions in Matlab or Python that numerically performs the operations of projection and expansion, given a target function, a set of basis functions, and a domain.
The first function can be called projection (target, basis, range), where target Ls the function you are seeking to expand basis is an array of function handles of the basis functions range is a 2-unit array containing lower and upper bounds in x the function merely computes the inner products and returns an array of coefficient values
You will likely use Matlab's integral() function, or Python's scipy.integrate.quad() function, to do the integrals
The second function can be called expansion (x, basis, coefficients), where x is an array of x-values between x min and x max basis is again an array of function handles (the same as before) coefficients is an array of floats (i.e. as calculated by PROJECTION()) the function returns the sum of each basis function acting on x times its appropriate coefficient in other words, the function performs the summation operation described as "representation"
These functions can now be re-used many times throughout the class to check your work, for a variety of different sets of basis functions.
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