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Euler's identity

Mathematical equation linking e, i and π

Euler's identity

Rare card · No. 48641

In mathematics, Euler's identity (also known as Euler's equation) is the equality e i π + 1 = 0 {\displaystyle e^{i\pi }+1=0} where e {\displaystyle e} is Euler's number, the base of natural logarithms, i {\displaystyle i} is the imaginary unit, which by definition satisfies i 2 = − 1 {\displaystyle i^{2}=-1} , and π {\displaystyle \pi } 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 a special case of Euler's formula e i x...

Read on Wikipedia · Image Original: Gunther Derivative work: Wereon, CC BY-SA 3.0

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