rational numbers as upper limit of a summation?a quick question: Is it a legit way to use a fraction as the upper limit of a summation? Given is a frequency f and a sample rate f s . I want to use a sum like this: ∑ k = 1 f s 2 f sin ⁡ ( 2 ⋅ π ⋅ k )Is this a legit way to write it?

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rational numbers as upper limit of a summation?a quick question: Is it a legit way to use a fraction as the upper limit of a summation? Given is a frequency     f and a sample rate       f    s  . I want to use a sum like this:      ∑          k      =      1                                f          s                          2          f                      sin  ⁡  (  2  ⋅  π  ⋅  k  )Is this a legit way to write it?

scoseBexgofvc · Accepted Answer

If you mean to include all the k that are less than             f      s              2      f       you can hedge and use the floor function:      ∑          k      =      1                      ⌊                              f            s                                2            f                          ⌋              sin  ⁡  (  2  ⋅  π  ⋅  k  )This guarantees your bounds are both integers, but contain all the k you want.

rational numbers as upper limit of a summation? a quick question: Is it a legit way to use a fracti

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