Vectorized summation for vectorized indices
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Hi, I need to write a code for the following summation. Thanks in advance.
Where k=1,2,3...... For example if one considers upto 
the summation becomes
the summation becomes 
where each 
and 
run as 1,2,3....... The second term of the summation indicates: for example if the values of 
=1 and 
=1 the terms inside the summation become 
. Here i and j run as 1,2,3......4 个评论
Dyuman Joshi
2023-9-18
What have you tried yet?
Rajesh
2023-9-18
I could not be able to generalize. I just took two indices 
and 
and wrote code but I need to generalize for all 
indices. My code is given below
and and wrote code but I need to generalize for all indices. My code is given belowfor i=1:1:100
for j=1:1:100
sum1=0;
for 
=1:1:20
=1:1:20 for 
=1:1:20
=1:1:20 sum1=sum1+X(i,
,
,j)-X(i,
+1,
+1,j);
,,j)-X(i,+1,+1,j); end
end
end
end
Dyuman Joshi
2023-9-18
What is X?
And I hope you realise that you are overwriting the variable sum1 with every iteration of the 2nd for loop without storing the values in any other variables.
Rajesh
2023-9-18
I understand your query but I don't need to store that. This is small portion of a big code. Ultimately, I need to use RK4 to solve the X. I'm generating those elements just by the above summation. If I get help to generalize the above summation for 
(with or without storing will not effect), my job is done.
(with or without storing will not effect), my job is done. 回答（0 个）
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