I have three sets of data points, let's say...$\{1,2\}\cup\{3,4\}\cup\{5,6\}$.
Now suppose that I want to sum up the first point in each, and divide it by the sum of the quotients of each pair, e.g. $(1+3+4)\div(1\div2+3\div4+5\div6)$.
I can call the first element $a$ and the second element $b$ and write the equation like this: $$\sum_{i=s}^n a_i \div \sum_{i=s}^n \frac{a_i}{b_i}$$
However, I don't know if this can be made more readable. I know of the property of sums shown below... $$\sum_{i=s}^m\sum_{j=t}^n {a_i}{c_j} = \sum_{i=s}^m a_i \cdot \sum_{j=t}^n c_j$$ ...but I don't know if there is a parallel application when division is involved. Can this be condensed at all?
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