Simple question. If you have a fraction where:
numerator = summation of Xi terms
denominator = summation of Xi^2 terms
Do standard rules of arithmetic apply? So that it equals the summation of 1/Xi ?
Is this your question?
Or are you asking something in the lines of:
?
P.S. I don't know how to make a negative exponent in latex. Only the - sign gets superscripted. Maybe someone can help me with that?
Paze, to get both , put the entire exponent, -1, in braces: {-1}.
MN1987, Paze is looking at the case of one term and I think he means
However, you seem to be talking about which is completely differenct. For example, if , with i from 1 to 5, that becomes while if , , , , (chosen pretty much at random) then .
There simply is no simple formula for a ratio of two sums. Addition and multiplicatio do not "play well together"!
Wow, I had no idea I had phrased my original question to be so ambiguous! I need to learn to use Latex notation.
Yes, I meant:
I guess the consensus is that it does not simplify further than that, for all intents and purposes. It's obvious now looking at it... shame! It would've made my assignment problem alot easier to solve