If you have any questions, please ask. I love yapping.
yap
Let's say we have some periodic function f. The goal is to represent it as a bunch of sine waves. This is called a Fourier series (FS).
The FS coefficients are given by
⌠2⋅π
1 ⎮ -i⋅k⋅x
f̂(k) = ─── ⎮ f(x)⋅e dx
2⋅π ⌡0
for whole numbers k. We can then approximate the original function with
n
___
╲ -i⋅k⋅x
╱ f̂(k)⋅e
‾‾‾
k = -n
and make the approximation better by making n larger.
For non-periodic functions, we can still get an approximation! The Fourier Transform (FT) uses a continuous range of frequencies instead of whole numbers, and the sum is replaced by an integral (the inverse FT).
FT's are used everywhere, for example in signal processing and spectroscopy. If a recording contains an annoying high-pitched noise, we can apply the FT and filter the unwanted frequencies. Spectroscopy separates light into its different wavelengths. By comparing the resulting spectral lines with known measurements, we can determine which elements and molecules are present in stars and planets, for example.
idk what more to add ._.
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I have to do 12s and my new rotation is like blocks of 4 days in a row, first chunk days second chunk nights. So itll be day-day-night-night, let me tell you that day to night immediate flip SUCKS. I pick up in a different hospital that does 8 hours and thats so much more manageable.
Holy shit that sounds like hell. I could never. I'm sorry Terminal.
That sounds horrible, I'm sorry youre doing back-to-back like that.
::: spoiler I know im quite entitled here, I make good money (at 20hrs a week I make a but under 1400 after tax per month), I just need to also pay for like housing and food and car insurance and food and did I mention food why is it so expensive now (I know why its just fucked) and like, I'm tired of spending $60 on a good homecooked meal for 4, thats $15/head. I can spend less but like, I need calories.... Lentils alone won't give me life force... And so rent in a house share is like $700, and then everything else on top, and copays and medical stuff scares me (and even with the good insurance from the state they won't do the cancer screening I need), and I want to have enough money to also do little projects and whatnot too...
Idk. I just am dogshit at being a worker. I try hard but like I feel such guilt when I'm not constantly doing 100% output... I hate it. I look for things to do. And I can't find them. I feel like I'm drowning but at least my bank account is getting bigger?
I want to make the 8hr days better. I want to not spend the day in terror that I'm gonna get fired for not working hard enough to justify me being there. I want the extra money I just, I dont know if I can hack it? Idk. I was told that most autistic people can't do a 40hr/wk job and I was incensed and pissed off at the person but maybe they were right and I'm just literally not capable of doing what I need to do to have baseline financial stability? I want everything to be ok. Idk. I'm sorry, I'm just talking out.my ass at this point. Idek why I'm saying what I'm saying.
The capitalists don't deserve your labor so this isn't something to be guilty about