Following the same procedure, a series for summation of n over n = 1,2,3 ...
From Figures 4(a) and 4(b), it is observed that the convergence of [K.sup.zz.sub.11] and determinant of K matrix changes from 1/[N.sub.max] using the direct summation to 1/[N.sup.3.sub.max] using up to second leading term and finally to 1/[N.sup.5.sub.max] using up to fourth leading term.
The super convergent series for the infinite summation over odd integers for sin(nz) divided even powers of n and also for cos(nz) divided odd powers of n thus obtained are:
We complete this paper with four more [sup.1][[psi].sub.1] summations, immediately obtained from corresponding summations in Theorems 3.2 and 3.3 by "reversing all products" (cf.
Using functional equations, we derive noncommutative extensions of Ramanujan's [sup.1][[psi].sub.1] summation.
noncommutative basic hypergeometric series, Ramanujan's [sup.1][[psi].sub.1] summation
Work reaction-evoking examples into your summations.
The myth of the summation lures us into believing that a great orator call salvage the most far-fetched case.
"Summation has to do with quantity judgment, not counting,' says Premack, who is also Matsuzawa's postdoctoral supervisor.
Since the size of each item and the volume of quantities can be varied on a computer, the researchers plan to conduct further summation experiments with this technology.
If the letter k represents a constant, then the summation of k is evaluated as the number of terms in the summation multiplied by k.
5, the number of terms in the summation, and get the answer 5k.