In analytical mathematics, Euler's identity (also known as Euler's equation), named for the Swiss-German mathematician Leonhard Euler, is the equality
where
- 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.
Read more about Euler's Identity: Explanation, Generalizations, Attribution, Mathematical Beauty
Famous quotes containing the word identity:
“Adultery is the vice of equivocation.
It is not marriage but a mockery of it, a merging that mixes love and dread together like jackstraws. There is no understanding of contentment in adultery.... You belong to each other in what together you’ve made of a third identity that almost immediately cancels your own. There is a law in art that proves it. Two colors are proven complimentary only when forming that most desolate of all colors—neutral gray.”
—Alexander Theroux (b. 1940)