Recent content by Destroxia

I believe I may have solved my own issue: Instead of treating this as a linear equation right away, something called the "z-transform" can be taken of the equation. And this allows us to easily solve the problem in the frequency domain. (The Z-transform is the discrete time version of the...

Hello, I've been working through some Digital Signal Processing stuff by myself online, and I saw a system that I wanted to write down as a Linear Algebra Equation. It's a simple delay feedback loop, looks like this: The (+) is an adder that adds 2 signals together, so the signal from x[n]...

Thanks for all the advice! I definitely had similar concerns when considering a physics education PhD, it would probably be my ideal subject to do a PhD, but I suspect it wouldn't have many fruits. I also don't mean to sound so self-deprecating in my post, I just over-exaggerated my frustration...

I definitely wouldn't mind teaching other subjects, I was a Chemical Engineering major before I was a physics major, and did significant amounts of biology, so I'm quite passionate about all of it!

I don't have any projects up on github, besides my research, but that's locked anyway. I don't have much to actually show besides a few personal projects like a web scraper, and some stuff I used to help me conjugate verbs in other languages, but it's all very not-spectacular. I've been...

I've graduated from college about 4 months ago with a B.S. in Physics, and a minor in Mathematics. I've applied to so many jobs I lost count, Physics Jobs, MechE jobs, EE Jobs, SystemsE, SoftwareE, etc. I've interviewed at maybe 3 places only so far, and from those interviews they informed my...

So going off this, just as a first step I could some kind of coefficient relation? Like ## g_{tt} dt^2 + 2 g_{tx} dt dx + g_{xx} dx^2 = - dt^2 + x^2 dx^2 ##. And from that follows, ## g_{tt} = -1, g_{tx} = 0, ## and ## g_{xx} = x^2 ## ? I'm still having trouble understanding how these metric...

Homework Statement Given some 2D line element, ## ds^2 = -dt^2 +x^2 dx^2 ##, find the Christoffel Symbols, ## \Gamma_{\beta \gamma}^{\alpha} ##. Homework Equations ## \Gamma_{\beta \gamma}^{\alpha} = \frac {1}{2} g^{\delta \alpha} (\frac{\partial g_{\alpha \beta}}{\partial x^\gamma} +...

1. Homework Statement Why does the non-relative simultaneous frame have an additional term of ##v \Delta t## along with the contracted length ## L ## for ## \Delta x ##? 2. Homework Equations ## L + v \Delta t = \Delta x ## ---- (1) ## \Delta x = \gamma \Delta x' = \gamma L_{\star} ## ----...

So if I understand you correctly... ## \sigma_{y,y} = \left(\begin{array}{cc}1&0\\0&-1\end{array}\right) ##, ## \sigma_{y,z} = \left(\begin{array}{cc}0&1\\1&0\end{array}\right) ##, ## \sigma_{y,x} = \left(\begin{array}{cc}0&-i\\i&0\end{array}\right) ## In which the first "sub" term is the y...

Also, I apologize I got your note on notation after I submitted that.

I read in the book a cyclic relation, is this what you mean by base permutation? ## XY=iZ ##, ## ZX=iY ##, ## YZ=iX ##... Does this mean that I can simply equate them so that ## \sigma_y = \left(\begin{array}{cc}0&-i\\i&0\end{array}\right) ## in the X basis, and ## \sigma_y =...

I'm not sure what the matrix is for Z to Y, I can't figure it out and the textbook doesn't list anything besides X to Z. and I believe that ##\sigma_y## in the Y basis is the same as ##\sigma_z## in the Z basis. ## \sigma_y = \left(\begin{array}{cc}1&0\\0&-1\end{array}\right)## in the Y basis.