exp

Exponential function e^x, element by element.

Category: Mathematics > Elementary Math

Syntax

Y = exp(X)

Description

For a real argument exp(x) is the usual exponential, positive for every x, equal to 1 at 0, overflowing to Inf for arguments above about 709.78. For a complex argument x + iy the result is exp(x)*(cos(y) + i*sin(y)), which is Euler's formula.

To get the matrix exponential of a square matrix, use expm. exp always works element by element.

Input arguments

X

Numeric array, real or complex.

Output arguments

Y

Array of the same size as X.

Example

Real and complex arguments

exp([0 1 2])
exp(1i*pi)
exp(710)

ans = 1×3

    1.0000    2.7183    7.3891
ans = -1.0000 + 1.2246e-16i
ans = Inf

See also

expm1 log expm pow2 sinh