Hey everyone:
So, I was trying to compute this sum symbolically, and then make it so that
I could plug in values for u later. I don't think that it's possible using
the Sage sum, though it works with the python sum.
This is my attempt to do it using a Sage sum:
reset()
var("G")
G = 5
u = [SR("u_%i"%x) for x in [0..6]]
gamma = (1/G)*sum(-(u[i])^(k-1)/(u[i]-1)^k,i,1,G-1)
show(gamma(4))
I get the error "Unable to coerce I to an integer"
Here it is using a python sum:
reset()
var("G")
var('i')
G = 5
u = [SR("u_%i"%x) for x in [0..6]]
gamma(k) = (1/G)*sum(-(u[i])^(k-1)/(u[i]-1)^k for i in (1..G-1))
show(gamma(4))
It works just fine.
I guess my real question is, what exactly is the point of the Sage version
of the sum? Why don't we just use the python sum by default? Are there any
benefits to Sage's version? The python version seems to run faster as well.
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