EXP Exponential Function
Section: Mathematical Functions
Usage
Computes theexp
function for its argument. The general
syntax for its use is
y = exp(x)
where x
is an n
-dimensional array of numerical type.
Integer types are promoted to the double
type prior to
calculation of the exp
function. Output y
is of the
same size and type as the input x
, (unless x
is an
integer, in which case y
is a double
type).
Function Internals
Mathematically, theexp
function is defined for all real
valued arguments x
as
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where
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and is approximately 2.718281828459045
(returned by the function
e
). For complex values
z
, the famous Euler formula is used to calculate the
exponential
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Example
The following piece of code plots the real-valuedexp
function over the interval [-1,1]
:
--> x = linspace(-1,1); --> plot(x,exp(x))
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In the second example, we plot the unit circle in the
complex plane e^{i 2 pi x}
for x in [-1,1]
.
--> x = linspace(-1,1); --> plot(exp(-i*x*2*pi))
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