How can write this equation in matlab?

Hi everyone. Can you guide me to write the code of this equation? In this equation Rcl is a variable, qqdc is a binary variable, and rdc and Rdk are parameters with specified values.

Answer 1

[Nathan Hardenberg]

You do not specify what l is so I will disregard it at first. Also your variables are vectors/matricies if I see that correctly. I assume K is the index of the last element in the vector. Thats why I'm writing qqdc(2:end) for example. Be sure to also check the prod()-function to know what it is doing.

% variables / vectors
qqdc = [1; 1; 1];
rdc = [2.1; 2.2; 2.3];
Rdk = [3.1; 3.2; 3.3];

% equation
Rcl = (qqdc(1)*rdc(1)*Rdk(1)) + ...
    ((1 - qqdc(1)*rdc(1)*Rdk(1)) * ...
    (1 - prod(1 - qqdc(2:end).*rdc(2:end).*Rdk(2:end))))  % using the .* operator to do elementwise product

Rcl = 220.3178

Now you could throw this in a for loop and calculate for every l value. Not that great of a way. So here I'm trying to do it with vector operations. Be aware that this is harder to wrap your head around (in my opinion) and because I don't have examples to test with I can't really check if it is correct the way you want it to be.

% variables / vectors / matrecies
qqdc = [1 1; 1 1; 1 1]   % with k rows and l colums

qqdc = 3×2

1 1 1 1 1 1

rdc = [2.1 2.5; 2.2 2.6; 2.3 2.7]  % with k rows and l colums

rdc = 3×2

2.1000 2.5000 2.2000 2.6000 2.3000 2.7000

Rdk = [3.1; 3.2; 3.3]  % with k rows

Rdk = 3×1

3.1000 3.2000 3.3000

Rcl = (qqdc(1,:).*rdc(1,:).*Rdk(1)) + ...  % I am assuming an elementwiese product here
    ((1 - qqdc(1,:).*rdc(1,:).*Rdk(1)) .* ...
    (1 - prod(1 - qqdc(2:end,:).*rdc(2:end,:).*Rdk(2:end,:)))) 

Rcl = 1×2

220.3178 391.8331