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the cake is a lie
🙃
the cake is a lie
4 followers · 1 following

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Achievement: Pair Extraordinairex2Achievement: StarstruckAchievement: Arctic Code Vault ContributorAchievement: Pull Shark

Achievements

Achievement: Pair Extraordinairex2Achievement: StarstruckAchievement: Arctic Code Vault ContributorAchievement: Pull Shark

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adzierzanowski/README.md

Important

Did you know this cool little fact?

$$\exists_{\xi \in \mathbb{R}} \forall_{x \in \mathbb{R}} \lim_{n \rightarrow \infty} \cos^{[n]}(x) = \xi$$

where

$$f^{[n]} := \underbrace{f \circ f \circ\dots\circ f}_n$$

means we smashed the $\cos$ key on a calculator $n$ times.

For any $x$ we'll quickly approach the same result ($\approx 0.73908513$) every single time.

My math teacher in high school told me that it's probably just a floating-point error but apparently it really is the fixed point of the cosine function.

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