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Unusual LSQ Notation

  1. Dec 4, 2014 #1
    See the two pages I've attached. 47 and 48. I'm trying to understand the notation used for the (129) equations. A hint is just below the equations. ( ) ∑. These pages are describing the LSQ method. (aa), etc. aa doesn't make sense to me. Herget devised this notation in 1948.


    Attached Files:

  2. jcsd
  3. Dec 4, 2014 #2


    Staff: Mentor

    It's not very clear, but the stuff in (130) gives a better idea. For example, the notations (aa) x and (ab) y mean, respectively,
    $$ x \sum_{i = 1}^n (a_i)^2$$
    $$ y \sum_{i = 1}^n a_i b_i$$
  4. Dec 4, 2014 #3
    The notation is unfamiliar to me but it's written in a more common form in Eq. 130. Just set all the weights to one in Eq. 130 to find Eq. 129 with explicit summations.
  5. Dec 4, 2014 #4
    Sounds about right.
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