I do not know how to create this complicated SUM equation within MATLAB for multiple variables?

I have to store a data table in MATLAB, and then run them through a complicated equation, which can both be seen in the attached files as examples. However, I do not know how to store those values, or write that equation, or call those values and run the equation. I really could use some help here...

[Zachary]

What I was thinking so far is this:

A=[1,6];

B1=[1,2];

B6=[1,2,3,4,5,6];

wi1=[0,10];

wi6=[0,10,11,12,13,14];

Bi1=[0.1,0.9];

Bi6=[0.1,0.2,0.3,0.4,0.5,0.6];

But as to the actual equation, and how to run it through, I am lost. I have a feeling that a loop or two is involved, but I do not know how to apply that at all.

[Stephen23]

When A=6 why does B only go up to 6?

[Zachary]

It's just how the value is "defined", I guess. Here is what I was thinking so far:

SmallSum1 = (B1*lambda)./((w1+lambda).^2);
BigSum1 = (euler(w1,t))./SmallSum1;
SmallSum6 = (B6*lambda)./((w6+lambda).^2);
BigSum6 = (euler(w6,t))./SmallSum6;
plot(BigSum1);
plot(BigSum6);

I separated the equation into the smaller sum (in the denominator) and the overall sum, then calling the smaller sum into the larger one. However, that just generates a whole slew of errors.

[dpb]

Well, it isn't consistent with the formula which says the outer sum goes through B+1 so if B==6, B+1-->7. Unless B is supposed to have been 5, instead? Who knows, all we can see is what is posted; no idea from whence this all came, but I'd guess the table's simply wrong...now whether it was intended to have B==6 and they didn't add the extra row, or they have as many terms as they wanted and just entered the wrong number for B is indeterminate.

As for the code; you've coded up the individual terms, but not the sums...

I was having trouble reading/deciphering the equation, I didn't recognize the e was/is the Euler function; I thought it was the exponential and then sub- and superscripts were most confusing...

Answer 1

[Dr W Kurt]

B = [B1, B6]; % Array for B values

w = [w1, w6]; % Array for w values

lambda = ...; % Define lambda (if not already defined)

t = ...; % Define t (if not already defined)

% Preallocate arrays for results

SmallSum = zeros(1, 2);

BigSum = zeros(1, 2);

% Loop through both sets of B and w

for i = 1:2

SmallSum(i) = (B(i) * lambda) ./ ((w(i) + lambda).^2);

BigSum(i) = euler(w(i), t) ./ SmallSum(i);

end

% Plot both results

plot(BigSum(1)); % Plot for BigSum1

hold on;

plot(BigSum(2)); % Plot for BigSum6

hold off;