- #1
ams2990
- 11
- 0
So kind of like this thread, I'm looking to convert a discrete sum to an integral. My idea thus far has been to arrive at a function via spline interpolation. I'm doing a few different types of sums, but the first ones look like
[tex]\displaystyle a=\sum_{i=1}^{100}{data[1]*data[4]}[/tex]
where data is of course an two-dimensional array. So I've got a function representing data[1] and a function representing data[4]. I'm not entirely sure what to do from here, primarily because as I increase my sampling "frequency", a is going to balloon. I later do some division by another sum, so the result won't be too different than what I already have, but I'm not really sure how to proceed.
[tex]\displaystyle a=\sum_{i=1}^{100}{data[1]*data[4]}[/tex]
where data is of course an two-dimensional array. So I've got a function representing data[1] and a function representing data[4]. I'm not entirely sure what to do from here, primarily because as I increase my sampling "frequency", a is going to balloon. I later do some division by another sum, so the result won't be too different than what I already have, but I'm not really sure how to proceed.