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Section: Mathematical Functions
Computes the exp
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).
Mathematically, the exp
function is defined for all real valued arguments x
as
where
and is approximately 2.718281828459045
(returned by the function e
). For complex values z
, the famous Euler formula is used to calculate the exponential
The following piece of code plots the real-valued exp
function over the interval [-1,1]
:
--> x = linspace(-1,1); --> plot(x,exp(x))
e^{i 2 pi x}
for x in [-1,1]
.
--> x = linspace(-1,1); --> plot(exp(-i*x*2*pi))