Sympy stats.WignerSemicircle() in Python

With the help of sympy.stats.WignerSemicircle() method, we can get the continuous random variable which represents the Wigner Semicircle distribution.

Syntax : sympy.stats.WignerSemicircle(name, R)
Where, R is real number.
Return : Return the continuous random variable.

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

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

z = Symbol("z")
r = Symbol("r", positive = True)

# Using sympy.stats.WignerSemicircle() method
X = WignerSemicircle("x", r)
gfg = density(X)(z)

pprint(gfg)

Output :

_________
/ 2 2
2*\/ r – z
————–
2
pi*r

Example #2 :

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

z = 0.87
r = 2

# Using sympy.stats.WignerSemicircle() method
X = WignerSemicircle("x", r)
gfg = density(X)(z)

pprint(gfg)

Output :

0.900430452616969
—————–
pi