Difference between revisions of "Exp"

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== See Also ==
== See Also ==
* [[Ln]]: Natural logarithm
* [[Ln]] -- Natural logarithm
* [[Complex number functions]]
* [[Complex number functions]]
* [[Advanced math functions]]
* [[Advanced math functions]]
* [[Radians]]
* [[Radians]]

Revision as of 22:04, 21 January 2016


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



Math functions


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


If you have an angle expressed in degrees, then you should use


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


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