sympy.stats.RaisedCosine() in Python

With the help of sympy.stats.RaisedCosine() method, we can get the continuous random variable which represents the Raised Cosine distribution.

Syntax : sympy.stats.RaisedCosine(name, mu, s)
Where, mu and s are real number and mu, s > 0.

Return : Return the continuous random variable.

Example #1 :
In this example we can see that by using sympy.stats.RaisedCosine() method, we are able to get the continuous random variable representing raised cosine distribution by using this method.

# Import sympy and RaisedCosine
from sympy.stats import RaisedCosine, density
from sympy import Symbol, pprint

z = Symbol("z")
mu = Symbol("mu", positive = True)
s = Symbol("s", positive = True)

# Using sympy.stats.RaisedCosine() method
X = RaisedCosine("x", mu, s)
gfg = density(X)(z)

pprint(gfg)

Output :

/ /pi*(-mu + z)\
|cos|————| + 1
| \ s /
= mu – s, z <= mu + s)
| 2*s
|
\ 0 otherwise

Example #2 :

# Import sympy and RaisedCosine
from sympy.stats import RaisedCosine, density
from sympy import Symbol, pprint

z = 1.2
mu = 1
s = 3

# Using sympy.stats.RaisedCosine() method
X = RaisedCosine("x", mu, s)
gfg = density(X)(z)

pprint(gfg)

Output :

cos(0.0666666666666667*pi) 1
————————– + –
6 6