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Behavioral Mathematics for Game AI by Dave Mark

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Normal (Gaussian) Distributions

Perhaps the most well-known of all probability distributions is the normal distribution. People often refer to it as a Gaussian distribution after Carl Friedrich Gauss, the 19th century German mathematician and scientist. Most of us best know this function, however, by its colloquial name of the bell curve. The reason for this is purely visual coincidence—in its standard form, it looks like a bell.

We find the hallmark of the bell curve in all its shapes and sizes all throughout nature, science, sociology, astronomy, and behavior. Even in just observation of humans, much of what we can measure ends up on a bell ...

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