Summation of vectors: use of sum function in loop

Question

jacob Mitch 2019-10-28

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https://ww2.mathworks.cn/matlabcentral/answers/487927-summation-of-vectors-use-of-sum-function-in-loop

评论： Shubham Gupta 2019-10-30

Say I have a a series %%(1/t)\sqrt{\sum_{k=1}^{s}(vector^t+vectortwo^t)^2}%% or (1/t)*sqrt of (sigma from t=1 to s) (vector^t+vectortwo^t)^3

Im tyring to do a summation of this but I'm not sure how i'm doing I have tried

vector=[1;2;3;4;5;6];
vectortwo=[1;3;4;5;6;8];
s=length(vector);
count=0;
for t=1:s
    Value=sum(vector.^t+vectortwo.^t).^3
    Newvalue=(1/t)*sqrt(Value);
       count=count+Value;
end

Have I made an error somewhere in for loop

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Answer 1

Shubham Gupta 2019-10-29

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https://ww2.mathworks.cn/matlabcentral/answers/487927-summation-of-vectors-use-of-sum-function-in-loop#answer_398656

编辑：Shubham Gupta 2019-10-29

I think

Newvalue=(1/t)*sqrt(Value);

should be outside the for loop :

vector=[1;2;3;4;5;6];
vectortwo=[1;3;4;5;6;8];
s=length(vector);
total=zeros(size(vector)); % change the name of the count 
for t=1:s
    Value=(vector.^t+vectortwo.^t).^3
    total=total+Value;
end
NewValue = (1/s)*sqrt(total);  % Output is 6x1 vector

Also, your mentioned series seems to be mathematically incorrect, since 't' can never be out of the "sigma". So, my understanding is it should be 's' instead of 't'