Hi, I am trying to produce the most abbreviated expression of the formulas inside the resulting matrix
of the following code:
as = Variance[Table[u[i, t] - u[i, t - 1], {t, 1, 3}, {i, 1, 2}]];
MatrixForm[Simplify[as, Element[u[_, _], Reals]]];
cv = Covariance[Table[u[i, t] - u[i, t - 1], {t, 1, 3}, {i, 1, 2}]];
MatrixForm[Simplify[cv, Element[u[_, _], Reals]]];
MatrixForm[
D[Simplify[((as + 2*cv)^(1/2))*F, Element[u[_, _], Reals]], u[1, 2]]]
--> I am trying to abbreviate the result into the most simplfied expression of the resulting matrix only except the diagonal elements.
If so, how can I do this work?
Besides, when I try the different partial derivative formula like:
MatrixForm[
D[Simplify[((as + 2*cv)^(1/2))*F, Element[u[_, _], Reals]], u[1, 1]]]
The result of the position (1,1) of the resulting matrix is:
6^(1/2)* F *Abs'*[u[1, 0] - 2 u[1, 1] + u[1, 2]]
How can I fix this " Abs' " into the real number format that I can use practically?
I would greatly appreciate if I could get any helps on this problem.
Thank you very much!
