Oh no, the SEC got their mining definition from the bargain bin
1. Miners don’t solve complex equations: they're repeatedly hashing a block header using the SHA-256 algorithm until a valid hash is found
2. Not cryptographic puzzles: it's closer to a brute-force search for a hash that meets a specific difficulty target
3. The process is trial & error: a game of luck & computational power
We're getting there, but more education is needed
The complex equation they solve is
Hash < Difficulty
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Everyone makes it sound like a complex mathematical theorem, it's not
sum/