How to express normalisation where rows sum to 1 for multiple rows?

Question

I have a list of lists. I want to divide every value in each list by the sum of that list.

What I did is: a list of lists S, where each list in S is . Each value in is . I wrote the normalisation down as:

This does not seem right to me, but I don't know how to correct it. How can I correctly express this?

LaTeX:

\begin{equation}
S_k^i = \frac{S_k^i}{\sum\limits_{k=1}^K S_k^i} \qquad \forall S_k^i
\end{equation}

@Macavity Good idea about the hat. If the rest is actually correct you can post your comment as answer and I'll accept it. — Niek, Sep 24 '13 at 13:32

score 1 · Accepted Answer · answered Sep 24 '13 at 13:40

1

$K$ is the number of elements in each list I presume.

I would suggest a new variable, say $\hat{S_k^i}$ to represent the normalised lists and elements in the LHS, but the RHS looks good.

answered Sep 24 '13 at 13:40

Macavity

Forgot to ask in my comment, what does RHS and LHS mean? – Niek Sep 24 '13 at 13:41
Usually refer to Left Hand Side (LHS) and Right Hand Side (RHS) of equations, inequalities etc. – Macavity Sep 24 '13 at 13:42

1 Answers1