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content/posts/a_neat_error_function_approximation.md

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- ai
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- math
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- programming
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- statistics
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author: "DolphyWind"
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---
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In this post, we're going to try to approximate the [error function](https://en.wikipedia.org/wiki/Error_function), which is a very important function in statistics and also a fascinating function overall. I wanted to make
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this post for a long time now because it combines a lot of ideas from different fields of mathematics and computer science, and it even introduces a new idea as well! If you are ready, let's dive in.
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this post for a long time now because it combines ideas from mathematics and computer science, and it even introduces a new idea as well! If you are ready, let's dive in.
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If you don't remember, the error function is defined as below.
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$$erf(x) = \frac{2}{\sqrt{\pi}} \int_{0}^{x} e^{-t^{2}} dt $$

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