Exp

Exp(x)

Computes the exponential function of «x», equal e^x, where e is Euler's number, e=2.718281828459045...

Library

Math functions

Examples

Exp(0) → 1

Exp(1) → 2.718

Exp(700) → 1.014e+304

Exp(800) → INF          {Warning issued}

Exp(-1) → -0.3679

Exp(-700) → 9.86e-305

Exp(-800) → 0

Complex numbers

The exponential of a real number is always positive and real (because of finite precision, it may underflow to zero for large negative numbers). The exponential of a complex number is, in general, complex. EnableComplexNumbers does not have to be 1 to evaluate Exp on a complex parameter.

Exp can be used to express a complex number in polar coordinates. Given an angle, theta, expressed in radians and a magnitude r, the corresponding complex number is given by the expression r * Exp(theta * 1j). If you have an angle expressed in degrees, then you should use r * Exp(Radians(theta) * 1j).

Exp interprets its complex parameter as being in radians, whereas trigonometric functions in Analytica operate in degrees. Hence, the Euler identity in terms of Analytica's built-in functions is

Exp( Radians(x) * 1j ) = Cos(x) + 1j * Sin(x)

See Also

• Ln: Natural logarithm

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