Recent content by HermitianField

One last thing. Since some of the eigenvalues have complex parts, should I just take the real part of the function Re(\omega_{2}) and proceed with the usual standard error propagation?

Suppose I have some observables \alpha, \beta, \gamma whose central values and uncertainties \sigma_{\alpha}, \sigma_{\beta}, \sigma_{\gamma} are known. Define a function f(\alpha, \beta, \gamma) which has both real and complex parts. How do I do standard error propagation when imaginary...

I was initially thinking of "brute forcing" my experimental values for (k_{1},k_{2},k_{3}) as you said. It really does seem like a sufficiently good approximation for the uncertainty. However, I want to be as formal as possible with everything, especially error propagation. It may be the last...

I found \omega_{1}, \omega_{2}, \omega_{3} through a nifty WolframAlpha widget. I set x=k1, y=k2, and z=k3. As you can see from the equation of just one eigenvalue, I don't think that is easily differentiated. Is this the only correct way to do uncertainty propagation? If yes, what software...

By setting all masses equal to each other, the matrix is symmetric, which is what I did.

So you are saying that $$\omega _{1}(k_{1}, k_{2}, k_{3}) = \sqrt{\frac{k_{1}}{m}} + \sqrt{\frac{k_{2}}{m}} + \sqrt{\frac{k_{3}}{m}}$$, right? Again, I assume that $$m_{1} = m_{2} = m_{3} = m$$. I also solved for the eigenvalue problem through MatLab, so I think your formula works only if I...

I am a senior physics and mathematics major, and this is my last semester. As a result, I am taking advanced physics lab, which feels more like a grad school experiment than an undergrad. One of the labs deals with the modal analysis of three spring-mass systems placed vertically as shown in the...

I took CS 1 (simple Java stuff) on the first semester, and that was relatively easy for me to do. However, I am not doing so well in my CS2 course, as I just miserably failed one exam to the point of likely losing hope of getting a B on that course. Now, I am a physics and math major, and I am...