In mathematics, Euler’s identity[n 1] (also known as Euler’s equation) is the equality
- e is Euler’s number, the base of natural logarithms,
- i is the imaginary unit, which satisfies i2 = −1, and
- π is pi, the ratio of the circumference of a circle to its diameter.
Euler’s identity is named after the Swiss mathematician Leonhard Euler. It is considered an example of mathematical beauty.
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