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 ?

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- Feb 3rd 2013, 11:41 AMMN1987Summation division
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 ? - Feb 3rd 2013, 11:51 AMPazeRe: Summation division

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? - Feb 3rd 2013, 11:54 AMMN1987Re: Summation division
Replace the 3 in the first term with the sigma notation, and that's my question :) i.e., what does that simplify to?

- Feb 3rd 2013, 12:00 PMPlatoRe: Summation division
- Feb 3rd 2013, 12:03 PMHallsofIvyRe: Summation division
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"! - Feb 3rd 2013, 12:08 PMPlatoRe: Summation division
- Feb 3rd 2013, 12:22 PMMN1987Re: Summation division
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 :)