Exp(e I)
Exp may stand for: * Exponential function, in mathematics * Expiry date of organic compounds like food or medicines * Experience points, in role-playing games * EXPTIME, a complexity class in computing * Ford EXP, a car manufactured in the 1980s * Exp (band), an Italian group in the 1990s * "EXP" (song), a song by The Jimi Hendrix Experience from the album ''Axis: Bold as Love'' * EXP (calculator key), to enter numbers in scientific or engineering notation See also * Exponential map (other) In differential geometry, the exponential map is a generalization of the ordinary exponential function of mathematical analysis. Important special cases include: * exponential map (Riemannian geometry) for a manifold with a Riemannian metric, * ex ...

Exponential Function
The exponential function is a mathematical function denoted by f(x)=\exp(x) or e^x (where the argument is written as an exponent). Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras. The exponential function originated from the notion of exponentiation (repeated multiplication), but modern definitions (there are several equivalent characterizations) allow it to be rigorously extended to all real arguments, including irrational numbers. Its ubiquitous occurrence in pure and applied mathematics led mathematician Walter Rudin to opine that the exponential function is "the most important function in mathematics". The exponential function satisfies the exponentiation identity e^ = e^x e^y \text x,y\in\mathbb, which, along with the definition e = \exp(1), shows that e^n=\under