http://mathworld.wolfram.com/HaarFunction.html

calculate the foorier function with haar group

here is the solution:

i dont know why i have latex error here the code is

e_1=\phi_{0,0}(x)=\begin{Bmatrix}1,0\leq x\leq 0.5

\\

-1,-0.5\leq x\leq 1

end{Bmatrix}\\

i dont know how they chose which haar function to take for the basis of of this serires

i could say that i take haar function with n=10

so my j=0..2^10

and i whould have much more e's

how they chose what haar sections to take as the orthonormal group

?