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Math IA golden ratio in stock markets

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Hi, I was thinking of doing my math IA on the correlation between the golden ratio in stock markets. I'm struggling to understand how I can incorporate a decent amount of math rather than say adding a Fibonacci retracement and saying "so as you can see there is a clear correlation".

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Perhaps you can somehow incorporate mathematical proofs into your IA. Proofs always take up a few pages up  😂

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