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### Gauß's formula for pi

The German mathematician Friedrich Gauß developed for π = 3,1415… the formula

which has been given the name *Gaussian integral*.

##### Explanation

You can also write the formula as

##### Additional Information

The formula plays an important role in quantum mechanics, and can be written as

It contains the number *e*, the concept of infinity ∞ and the number π. A formula that is short and concise, and describes a solution to a complex problem, makes an impression. Mathematicians call this an *elegant* formula. Carl Friedrich Gauß is widely appreciated for his famous formula.