Summation Definition and 610 Threads

Hello, I really trying to understand what is going on with these summations. the code is following: for p = 2 to n for i = 1 to n - p + 1 j = i + p -1 for k = i to j - 1 O(1) + O(1) Does j enter anywhere here besides the upper bound of the inner-most...

Rules of Summation...Help Me Please I have a vauge idea of what these rules mean: 1. \sum^n_{i=1}c=cn 2. \sum^n_{i=1}i=\frac{n(n+1)}_{2} 3. \sum^n_{i=1}i^2=\frac{n(n+1)(2n+1)}_{6} 4. \sum^n_{i=1}i^3=\frac{n^2(n+1)^2}_4 are these rules saying that if i have...

Good evening. I'm having a little difficulty with the summation of rectangular areas when finding the area under a curve. Question: Using summation of rectangles, find the area enclosed between the curve y = x^2 + 2x and the x-axis from x=0 to x=3. Well, I start by dividing the interval...

What would be the sum formula for the summation in the attachment? For any real constant 'c', what is the sum formula for k sigma (n^c) ? n=1

I've heard something about Poisson summation in relation to Fourier analysis, but I can't seem to find any good info on the subject... Can anyone explain what "Poisson summation" is? Furthermore, I would like to know exactly what "Parsevals identity" states and how it is applied. Thanks.

Hi, I don't understand this problem at all: Rewrite the following sum with the index of summation starting at 3 in summation notation: \sum_{i=1}^{6}(5+3i) I know that the sum is 93 but I'm not sure what to do... Thanks for the help!

Is this simplified? Use the power rule and the summation rule to find f ' (x) and simplify where possible f(x) = ((2x^3)/5) - x^2 +3/8 f ' (x) = d/dt(((2x^3)/5) - x^2 +3/8) = ((6x^2)/5) - 2x Is this the right answer?

How would I solve E1jk without the summation? I know how to solve it using the summation symbol but don't know howto do it without it. Also, I need help proving that |torque|^2 = |r x F|^2= r^2F^2sin@(thetarF ). r dot F = rF cos (thetarF . Would I have to use (r x F) dot (r x F)?

sum sin{x/[n*(n+1)]}/[cos(x/n)*cos(x/(n+1))], where n goes from1 to infinity and x is a given constant... Any ideas ?

Can you find the values of [oo] [pi] cos(((-1n)(2n)!)1/(2n)) n=0 and [oo] [sum] sin(((-1n+1)(2n+1)!)1/(2n+1)) n=0 ?