本文整理汇总了Python中sympy.Product类的典型用法代码示例。如果您正苦于以下问题：Python Product类的具体用法？Python Product怎么用？Python Product使用的例子？那么恭喜您, 这里精选的类代码示例或许可以为您提供帮助。
在下文中一共展示了Product类的6个代码示例，这些例子默认根据受欢迎程度排序。您可以为喜欢或者感觉有用的代码点赞，您的评价将有助于系统推荐出更棒的Python代码示例。
示例1: test_wallis_product
def test_wallis_product():
# Wallis product, given in two different forms to ensure that Product
# can factor simple rational expressions
A = Product(4*n**2 / (4*n**2 - 1), (n, 1, b))
B = Product((2*n)*(2*n)/(2*n - 1)/(2*n + 1), (n, 1, b))
R = pi*gamma(b + 1)**2/(2*gamma(b + S(1)/2)*gamma(b + S(3)/2))
assert simplify(A.doit()) == R
assert simplify(B.doit()) == R示例2: test_wallis_product
def test_wallis_product():
# Wallis product, given in two different forms to ensure that Product
# can factor simple rational expressions
A = Product(4*n**2 / (4*n**2 - 1), (n, 1, b))
B = Product((2*n)*(2*n)/(2*n - 1)/(2*n + 1), (n, 1, b))
half = Rational(1, 2)
R = pi/2 * factorial(b)**2 / factorial(b - half) / factorial(b + half)
assert simplify(A.doit()) == R
assert simplify(B.doit()) == R示例3: test_simple_products
def test_simple_products():
assert Product(S.NaN, (x, 1, 3)) is S.NaN
assert product(S.NaN, (x, 1, 3)) is S.NaN
assert Product(x, (n, a, a)).doit() == x
assert Product(x, (x, a, a)).doit() == a
assert Product(x, (y, 1, a)).doit() == x**a
lo, hi = 1, 2
s1 = Product(n, (n, lo, hi))
s2 = Product(n, (n, hi, lo))
assert s1 != s2
assert s1.doit() == s2.doit() == 2
lo, hi = x, x + 1
s1 = Product(n, (n, lo, hi))
s2 = Product(n, (n, hi, lo))
assert s1 != s2
assert s1.doit() == s2.doit() == x*(x + 1)
assert Product(Integral(2*x, (x, 1, y)) + 2*x, (x, 1, 2)).doit() == \
(y**2 + 1)*(y**2 + 3)
assert product(2, (n, a, b)) == 2**(b - a + 1)
assert product(n, (n, 1, b)) == factorial(b)
assert product(n**3, (n, 1, b)) == factorial(b)**3
assert product(3**(2 + n), (n, a, b)) \
== 3**(2*(1 - a + b) + b/2 + (b**2)/2 + a/2 - (a**2)/2)
assert product(cos(n), (n, 3, 5)) == cos(3)*cos(4)*cos(5)
assert product(cos(n), (n, x, x + 2)) == cos(x)*cos(x + 1)*cos(x + 2)
assert isinstance(product(cos(n), (n, x, x + S.Half)), Product)
# If Product managed to evaluate this one, it most likely got it wrong!
assert isinstance(Product(n**n, (n, 1, b)), Product)示例4: test_conjugate_transpose
def test_conjugate_transpose():
p = Product(x**k, (k, 1, 3))
assert p.adjoint().doit() == p.doit().adjoint()
assert p.conjugate().doit() == p.doit().conjugate()
assert p.transpose().doit() == p.doit().transpose()
A, B = symbols("A B", commutative=False)
p = Product(A*B**k, (k, 1, 3))
assert p.adjoint().doit() == p.doit().adjoint()
assert p.conjugate().doit() == p.doit().conjugate()
assert p.transpose().doit() == p.doit().transpose()示例5: test_issue_9983
def test_issue_9983():
n = Symbol('n', integer=True, positive=True)
p = Product(1 + 1/n**(S(2)/3), (n, 1, oo))
assert p.is_convergent() is S.false
assert product(1 + 1/n**(S(2)/3), (n, 1, oo)) == p.doit()示例6: test_issue_13546
def test_issue_13546():
n = Symbol('n')
k = Symbol('k')
p = Product(n + 1 / 2**k, (k, 0, n-1)).doit()
assert p.subs(n, 2).doit() == S(15)/2