ACCEPTED SOLUTION
Accepted Solutions
You should have said in the other thread that you just want it to be solved using specific values and not symbolically.
With c=0.5 you end up with a cubic equation and the symbolic solve is able to provide all three solutions for each value of sigma.s
But the expression in parenthesis is a scalar and this can't equal a vector sigma.s
You may turn the symbolic calculation into a function of sigma.s and later call that function vectorized to get the 5 x 3 solutions. Note that the solutions with 10^-16 or so as imaginary part are supposed to be real values.
If you are just looking for one real solution, you may consider using the numeric "root" function (you may also use a solve block instead):
In case you are interested in the negative values for EC only, you may use a solve block with an appropriate constraint or the root function in its second flavor:
Worksheet in format Prime 6 attached.
Not, that if you use Prime 6 the symbolic solution will only work if you set the calculation to "Legacy symbolic" which activates muPad. The new FriCAS is not able to solve this cubic equation.
You should have said in the other thread that you just want it to be solved using specific values and not symbolically.
With c=0.5 you end up with a cubic equation and the symbolic solve is able to provide all three solutions for each value of sigma.s
But the expression in parenthesis is a scalar and this can't equal a vector sigma.s
You may turn the symbolic calculation into a function of sigma.s and later call that function vectorized to get the 5 x 3 solutions. Note that the solutions with 10^-16 or so as imaginary part are supposed to be real values.
If you are just looking for one real solution, you may consider using the numeric "root" function (you may also use a solve block instead):
In case you are interested in the negative values for EC only, you may use a solve block with an appropriate constraint or the root function in its second flavor:
Worksheet in format Prime 6 attached.
Not, that if you use Prime 6 the symbolic solution will only work if you set the calculation to "Legacy symbolic" which activates muPad. The new FriCAS is not able to solve this cubic equation.
