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Question about to reconduct [for loop statement] to the code using vectorization

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Hakyoon Kim
Hakyoon Kim 2022-10-26
编辑： Hakyoon Kim 2022-10-26
hello
first i made the code that he answer to the following expression is 0.7849
its expression is
the code i made is (result is 0.7849)
sum=0;
for m=0:2:10000000
k=m;
i=m+1;
sumx=(1/(2*k+1));
sumy=(-1/(2*i+1));
sum=sumx+sumy+sum
end
-----------------------------------------------------------------------------------------------
So, What I want to do is to reconstruct the code above using vectorization.(use ./ .*) (not using for loop statement)
i made this, but it works strangely.(I don't know if I made it right)
format short
sum=0;
m=0:2:500;
k=m;
i=m+1;
sumx=(1./(2*k+1));
sumy=(-1./(2*i+1));
sum=sumx+sumy+sum
Should I write more variable?
How do I reconstruct it right?
  2 个评论
VBBV
VBBV 2022-10-26
Ran in:
format short
sumi=0; % sum is builtin function of matlab
m=0:2:500;
k=m;
i=m+1;
sumx=sum((1./(2*k+1))); % apply the sum function to the series
sumy=sum((-1./(2*i+1))); % sum the series
Sum=sumx+sumy+sumi
Sum = 0.7849
sum is a builtin function in matlab, variables are usually named that doesnt conflict with standard builtin functions in matlab,
Hakyoon Kim
Hakyoon Kim 2022-10-26
编辑：Hakyoon Kim 2022-10-26
@VBBV
i did simillar as you did, but it didnt work because i used 'sum' function as it.
after seeing this, i found my fault.
thanks!

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采纳的回答

David Hill
David Hill 2022-10-26
Ran in:
format long
s=sum(1./(2*(0:2:500)+1)-1./(2*(1:2:501)+1))
s =
0.784900155923366

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