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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.

 


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