how to calculate Somme of vector elements ?

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diadalina
diadalina 2018-10-21
评论： mohamed 2024-3-29，13:56
i would like to calculate the somme k=1:10^5 of 1/k^2,using the command sum, can anyone help me ?

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madhan ravi
madhan ravi 2018-10-21
编辑：madhan ravi 2018-10-21
k=1:10.^5;
sum(1./(k.^2))
  6 个评论
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diadalina
diadalina 2018-10-28
is there any method to verify the obtained result ?
Bruno Luong
Bruno Luong 2018-10-28
编辑：Bruno Luong 2018-10-28
"is there any method to verify the obtained result ?"
s = sum(1./(k.^2))
s / (pi^2/6)
That gives
s =
1.6449
ans =
1.0000
Seems alright to me.

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更多回答（1 个）

mohamed
mohamed 2024-3-28
I need instructions that I write in MATLAB, to give me the result of this sum
  2 个评论
DGM
DGM 2024-3-28
编辑：DGM 2024-3-28
Without knowing what x or t are:
x = something
t = something
n = 0:1000;
t1 = 1/(pi^2*(2*n + 1)^2);
t2 = pi*(2*n + 1)*(x - 1)/2;
U = 800*sum(t1*cos(t2)*exp(-0.3738)*(2*n + 1)^2*t)
mohamed
mohamed 2024-3-29，13:56
Thanks dude, just forgot to mention that "x" changes from 0 to 2, and t is the time

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