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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Flesh and Blood as a TCG kinda low key fucks, I liked it a lot
Its hard to convince MTG players to like switch to anything else, but I like tcgs for the social fun component so I always felt pulled in. And commander is like the one social format thats not just playing regular ol cards (that enough people will say "yeah I can bring a deck"). I get it because MTG is old, people invested potentially a lot, it has a lot of momentum, but I do kinda wish something else could pierce it and deflate it.
I talked with some friends about how I wish there was an open source community led TCG even though its a huge contradiction... Netrunner is kinda like that now but its such a small share