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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traaaaaaannnnnnnnnns
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Im in a different trans group chat with more local people, we do irl meet ups too, and the latest drama is someone left because I said there should be a moratorium on oversized pickups and you shouldn't be allowed to drive anything larger than a 90s ranger size without a commercial license and for strict commercial purposes lol
She loved her pickup more than a possible community (also I think she was shocked by how socialist and left wing trans people tend to be)
Type of shit people will not give up while staring climate change down the barrel
I need a monster truck to drive for fun 😤
Driving grave digger down the highway running over f150s to "balance" out the carbon emissions.
Am I interpreting this right or did she leave over a government policy disagreement over pickup truck sizes?
Seems it!
You need to find the girls with the train autism, it's so adorable to hear them infodump about their favorite engines! I'm at the point where i have picked up enough to recognize some models and signals when i'm on the train, it's fun.