# How to write this formula in Matlab

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Nicolas Ostinelli on 20 Apr 2022
Commented: Jan on 27 Sep 2022
Hello to everyone,
how can I traduce this formula in Matlab:
Ustat and Ucalib value are float number.

Abhijeet on 19 Jun 2022
Hi Nicolas Ostinelli,
You can refer to the code below.Let me know if there is any error.
%constant values
U_stat=0.12;
U_calib=0.3;
U_stat_sq=U_stat*U_stat;
U_calib_sq=U_calib*U_calib;
% calculating the summation part
sum=0;
n=10;
for i=1:n
sum=sum+U_stat_sq*i;
end
sum_sqrt=sqrt(sum);
first=(1/n)*sum_sqrt;
first=first*first;
U_fin=sqrt(first+U_calib_sq);

Jan on 19 Jun 2022
Ufin = sqrt((1 / n * sum(Ustat .^ 2))^2 + Ucalib .^ 2)

Daksh on 27 Sep 2022
Hi,
It is my understanding that you possess Ustat (float number array) and Ucalib (float number) and you want to rewrite that formula as a representation in MATLAB. The following code illustrates how to achieve the above:
U_fin=(((1/n)*sum(Ustat.^2))^2+Ucalib.^2)^0.5
Here I have used ".^2" notation for element-wise squaring arithmetic operation, which saves me the effort of writing another for loop. Hope this helps.
Jan on 27 Sep 2022
I agree. I've posted this formula already. SQRT is faster than .^0.5 .