Python| sympy.bernoulli() 方法
借助sympy.bernoulli()方法,我们可以在 SymPy 中找到伯努利数和伯努利多项式。
伯努利(n) -
Syntax: bernoulli(n)
Parameter:
n – It denotes the nth bernoulli number.
Returns: Returns the nth bernoulli number.
示例 #1:
# import sympy
from sympy import * n = 4
print("Value of n = {}".format(n))
# Use sympy.bernoulli() method
nth_bernoulli = bernoulli(n)
print("Value of nth bernoulli number : {}".format(nth_bernoulli))
输出:
Value of n = 4
Value of nth bernoulli number : -1/30
伯努利(n, k) -
Syntax: bernoulli(n, k)
Parameter:
n – It denotes the order of the bernoulli polynomial.
k – It denotes the variable in the bernoulli polynomial.
Returns: Returns the expression of the bernoulli polynomial or its value.
示例 #2:
# import sympy
from sympy import * n = 5
k = symbols('x')
print("Value of n = {} and k = {}".format(n, k))
# Use sympy.bernoulli() method
nth_bernoulli_poly = bernoulli(n, k)
print("The nth bernoulli polynomial : {}".format(nth_bernoulli_poly))
输出:
Value of n = 5 and k = x
The nth bernoulli polynomial : x**5 - 5*x**4/2 + 5*x**3/3 - x/6
示例#3:
# import sympy
from sympy import * n = 4
k = 3
print("Value of n = {} and k = {}".format(n, k))
# Use sympy.bernoulli() method
nth_bernoulli_poly = bernoulli(n, k)
print("The nth bernoulli polynomial value : {}".format(nth_bell_poly))
输出:
Value of n = 4 and k = 3
The nth bernoulli polynomial value : 10*x1**2*x3 + 15*x1*x2**2