LSQ Notation: Unusual Notation Explained by Herget 1948

[solarblast]

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.

Comments

 

[Mark44]

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.

Comments

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,
$$ x \sum_{i = 1}^n (a_i)^2$$
and
$$ y \sum_{i = 1}^n a_i b_i$$

 

[rikblok]

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.

 

[solarblast]

Sounds about right.