Question

what does it mean when two function are orthagonal?

Answer 1

f(x).g(x) = 0 perhaps?

Answer 2

oh, so for every value of x , the dot product is zero?

Answer 3

http://www.wolframalpha.com/input/?i=orthogonal+functions

Answer 4

thats my gut feeling about it, but im sure it needs to be refined

Answer 5

ok , thank

Answer 6

http://www.math.odu.edu/~jhh/samp2.PDF

this looks readable as well

Answer 7

i recall that polynomials are vectors spaces, so a dot product on the coeffs would seem reasonable to me; but an inner product might be more all encompassing for functions in general