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:
“Unlike Boswell, whose Journals record a long and unrewarded search for a self, Johnson possessed a formidable one. His life in Londonhe arrived twenty-five years earlier than Boswellturned out to be a long defense of the values of Augustan humanism against the pressures of other possibilities. In contrast to Boswell, Johnson possesses an identity not because he has gone in search of one, but because of his allegiance to a set of assumptions that he regards as objectively true.”
—Jeffrey Hart (b. 1930)