exp
Represents the exponential function with base e (Euler's number), commonly used in mathematical and scientific notation.
Overview
A fundamental mathematical function essential in calculus, differential equations, and complex analysis, providing a more elegant way to express e raised to a power than using direct superscript notation.
- Preferred over e^x notation in professional mathematical writing
- Particularly important in differential equations and growth/decay problems
- Frequently used in probability theory and statistics
- Maintains better readability with complex exponents
- Standard notation in scientific literature and academic papers
Examples
Natural exponential function with a simple variable.
f(x) = \exp(x)Solution to a differential equation showing exponential decay.
y(t) = A\exp(-\lambda t)Complex exponential in Euler's formula.
\exp(ix) = \cos x + i\sin x