Euler's Flush

In mathematical analysis, Euler's identity, named after Leonhard Euler, is the equation

e^iπ+1=0

where
e is Euler's number, the base of the natural logarithm,
i is the imaginary unit, one of the two complex numbers whose square is negative one (the other is -i), and
π is pi, the ratio of the circumference of a circle to its diameter.

Euler's identity is considered by many to be remarkable for its mathematical beauty. Three basic arithmetic operations occur exactly once each: addition, multiplication, and exponentiation. The identity also links five fundamental mathematical constants:
* The number 0.
* The number 1.
* The number π, which is ubiquitous in trigonometry, geometry of Euclidean space, and mathematical analysis.
* The number e, the base of natural logarithms, which also occurs widely in mathematical analysis (e ≈ 2.71828).
* The number i, imaginary unit of the complex numbers, which contain the roots of all nonconstant polynomials and lead to deeper insight into many operators, such as integration.

Furthermore, in mathematical analysis, equations are commonly written with zero on one side.
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