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Ask HN: What is the hardest math you used in a project?

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What is the most difficult or beautiful math that you used to solve a real problem?

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Ive done the C++ challenge to calculate pi deeply and quickly; also finding prime numbers. Those were fun to do as a beginner.

Much more recently, IBM qiskit has a bit too advanced math for me. Over my head; but theoretically i did use it lol. I cant say i understood it.

I imagine for example that some implementations were made fast enough to meet a requirement with some very hard algorithms.

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