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Python Q.infinitesimal方法代码示例

本文整理汇总了Python中sympy.assumptions.Q.infinitesimal方法的典型用法代码示例。如果您正苦于以下问题:Python Q.infinitesimal方法的具体用法?Python Q.infinitesimal怎么用?Python Q.infinitesimal使用的例子?那么恭喜您, 这里精选的方法代码示例或许可以为您提供帮助。您也可以进一步了解该方法所在sympy.assumptions.Q的用法示例。


在下文中一共展示了Q.infinitesimal方法的11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_float_1

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import infinitesimal [as 别名]
def test_float_1():
    z = 1.0
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == True
    assert ask(Q.rational(z))         == True
    assert ask(Q.real(z))             == True
    assert ask(Q.complex(z))          == True
    assert ask(Q.irrational(z))       == False
    assert ask(Q.imaginary(z))        == False
    assert ask(Q.positive(z))         == True
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == False
    assert ask(Q.odd(z))              == True
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == False
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == True

    z = 7.2123
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == False
    assert ask(Q.rational(z))         == True
    assert ask(Q.real(z))             == True
    assert ask(Q.complex(z))          == True
    assert ask(Q.irrational(z))       == False
    assert ask(Q.imaginary(z))        == False
    assert ask(Q.positive(z))         == True
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == False
    assert ask(Q.odd(z))              == False
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == False
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == False
开发者ID:lazovich,项目名称:sympy,代码行数:36,代码来源:test_query.py

示例2: test_I

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import infinitesimal [as 别名]
def test_I():
    I = S.ImaginaryUnit
    z = I
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == False
    assert ask(Q.rational(z))         == False
    assert ask(Q.real(z))             == False
    assert ask(Q.complex(z))          == True
    assert ask(Q.irrational(z))       == False
    assert ask(Q.imaginary(z))        == True
    assert ask(Q.positive(z))         == False
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == False
    assert ask(Q.odd(z))              == False
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == False
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == False

    z = 1 + I
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == False
    assert ask(Q.rational(z))         == False
    assert ask(Q.real(z))             == False
    assert ask(Q.complex(z))          == True
    assert ask(Q.irrational(z))       == False
    assert ask(Q.imaginary(z))        == False
    assert ask(Q.positive(z))         == False
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == False
    assert ask(Q.odd(z))              == False
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == False
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == False

    z = I*(1+I)
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == False
    assert ask(Q.rational(z))         == False
    assert ask(Q.real(z))             == False
    assert ask(Q.complex(z))          == True
    assert ask(Q.irrational(z))       == False
    assert ask(Q.imaginary(z))        == False
    assert ask(Q.positive(z))         == False
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == False
    assert ask(Q.odd(z))              == False
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == False
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == False
开发者ID:lazovich,项目名称:sympy,代码行数:54,代码来源:test_query.py

示例3: Mul

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import infinitesimal [as 别名]
 def Mul(expr, assumptions):
     """
     Infinitesimal*Bounded -> Infinitesimal
     """
     if expr.is_number:
         return AskInfinitesimalHandler._number(expr, assumptions)
     result = False
     for arg in expr.args:
         if ask(Q.infinitesimal(arg), assumptions):
             result = True
         elif ask(Q.bounded(arg), assumptions):
             continue
         else: break
     else:
         return result
开发者ID:101man,项目名称:sympy,代码行数:17,代码来源:calculus.py

示例4: test_zero_0

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import infinitesimal [as 别名]
def test_zero_0():
    z = Integer(0)
    assert ask(Q.nonzero(z))          == False
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == True
    assert ask(Q.rational(z))         == True
    assert ask(Q.real(z))             == True
    assert ask(Q.complex(z))          == True
    assert ask(Q.imaginary(z))        == False
    assert ask(Q.positive(z))         == False
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == True
    assert ask(Q.odd(z))              == False
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == True
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == False
开发者ID:lazovich,项目名称:sympy,代码行数:19,代码来源:test_query.py

示例5: test_E

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import infinitesimal [as 别名]
def test_E():
    z = S.Exp1
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == False
    assert ask(Q.rational(z))         == False
    assert ask(Q.real(z))             == True
    assert ask(Q.complex(z))          == True
    assert ask(Q.irrational(z))       == True
    assert ask(Q.imaginary(z))        == False
    assert ask(Q.positive(z))         == True
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == False
    assert ask(Q.odd(z))              == False
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == False
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == False
开发者ID:lazovich,项目名称:sympy,代码行数:19,代码来源:test_query.py

示例6: test_Rational_number

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import infinitesimal [as 别名]
def test_Rational_number():
    r = Rational(3,4)
    assert ask(Q.commutative(r))      == True
    assert ask(Q.integer(r))          == False
    assert ask(Q.rational(r))         == True
    assert ask(Q.real(r))             == True
    assert ask(Q.complex(r))          == True
    assert ask(Q.irrational(r))       == False
    assert ask(Q.imaginary(r))        == False
    assert ask(Q.positive(r))         == True
    assert ask(Q.negative(r))         == False
    assert ask(Q.even(r))             == False
    assert ask(Q.odd(r))              == False
    assert ask(Q.bounded(r))          == True
    assert ask(Q.infinitesimal(r))    == False
    assert ask(Q.prime(r))            == False
    assert ask(Q.composite(r))        == False

    r = Rational(1,4)
    assert ask(Q.positive(r))         == True
    assert ask(Q.negative(r))         == False

    r = Rational(5,4)
    assert ask(Q.negative(r))         == False
    assert ask(Q.positive(r))         == True

    r = Rational(5,3)
    assert ask(Q.positive(r))         == True
    assert ask(Q.negative(r))         == False

    r = Rational(-3,4)
    assert ask(Q.positive(r))         == False
    assert ask(Q.negative(r))         == True

    r = Rational(-1,4)
    assert ask(Q.positive(r))         == False
    assert ask(Q.negative(r))         == True

    r = Rational(-5,4)
    assert ask(Q.negative(r))         == True
    assert ask(Q.positive(r))         == False

    r = Rational(-5,3)
    assert ask(Q.positive(r))         == False
    assert ask(Q.negative(r))         == True
开发者ID:lazovich,项目名称:sympy,代码行数:47,代码来源:test_query.py

示例7: test_nan

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import infinitesimal [as 别名]
def test_nan():
    nan = S.NaN
    assert ask(Q.commutative(nan))   == True
    assert ask(Q.integer(nan))       == False
    assert ask(Q.rational(nan))      == False
    assert ask(Q.real(nan))          == False
    assert ask(Q.extended_real(nan)) == False
    assert ask(Q.complex(nan))       == False
    assert ask(Q.irrational(nan))    == False
    assert ask(Q.imaginary(nan))     == False
    assert ask(Q.positive(nan))      == False
    assert ask(Q.nonzero(nan))       == True
    assert ask(Q.even(nan))          == False
    assert ask(Q.odd(nan))           == False
    assert ask(Q.bounded(nan))       == False
    assert ask(Q.infinitesimal(nan)) == False
    assert ask(Q.prime(nan))         == False
    assert ask(Q.composite(nan))     == False
开发者ID:lazovich,项目名称:sympy,代码行数:20,代码来源:test_query.py

示例8: test_neg_infinity

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import infinitesimal [as 别名]
def test_neg_infinity():
    mm = S.NegativeInfinity
    assert ask(Q.commutative(mm))    == True
    assert ask(Q.integer(mm))        == False
    assert ask(Q.rational(mm))       == False
    assert ask(Q.real(mm))           == False
    assert ask(Q.extended_real(mm))  == True
    assert ask(Q.complex(mm))        == False
    assert ask(Q.irrational(mm))     == False
    assert ask(Q.imaginary(mm))      == False
    assert ask(Q.positive(mm))       == False
    assert ask(Q.negative(mm))       == True
    assert ask(Q.even(mm))           == False
    assert ask(Q.odd(mm))            == False
    assert ask(Q.bounded(mm))        == False
    assert ask(Q.infinitesimal(mm))  == False
    assert ask(Q.prime(mm))          == False
    assert ask(Q.composite(mm))      == False
开发者ID:lazovich,项目名称:sympy,代码行数:20,代码来源:test_query.py

示例9: test_infinity

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import infinitesimal [as 别名]
def test_infinity():
    oo = S.Infinity
    assert ask(Q.commutative(oo))     == True
    assert ask(Q.integer(oo))         == False
    assert ask(Q.rational(oo))        == False
    assert ask(Q.real(oo))            == False
    assert ask(Q.extended_real(oo))   == True
    assert ask(Q.complex(oo))         == False
    assert ask(Q.irrational(oo))      == False
    assert ask(Q.imaginary(oo))       == False
    assert ask(Q.positive(oo))        == True
    assert ask(Q.negative(oo))        == False
    assert ask(Q.even(oo))            == False
    assert ask(Q.odd(oo))             == False
    assert ask(Q.bounded(oo))         == False
    assert ask(Q.infinitesimal(oo))   == False
    assert ask(Q.prime(oo))           == False
    assert ask(Q.composite(oo))       == False
开发者ID:lazovich,项目名称:sympy,代码行数:20,代码来源:test_query.py

示例10: test_infinitesimal

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import infinitesimal [as 别名]
def test_infinitesimal():
    x, y = symbols('x,y')
    assert ask(Q.infinitesimal(x)) == None
    assert ask(Q.infinitesimal(x), Q.infinitesimal(x)) == True

    assert ask(Q.infinitesimal(2*x), Q.infinitesimal(x)) == True
    assert ask(Q.infinitesimal(x*y), Q.infinitesimal(x)) == None
    assert ask(Q.infinitesimal(x*y), Q.infinitesimal(x) & Q.infinitesimal(y)) == True
    assert ask(Q.infinitesimal(x*y), Q.infinitesimal(x) & Q.bounded(y)) == True

    assert ask(Q.infinitesimal(x**2), Q.infinitesimal(x)) == True
开发者ID:lazovich,项目名称:sympy,代码行数:13,代码来源:test_query.py

示例11: test_pi

# 需要导入模块: from sympy.assumptions import Q [as 别名]
# 或者: from sympy.assumptions.Q import infinitesimal [as 别名]
def test_pi():
    z = S.Pi
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == False
    assert ask(Q.rational(z))         == False
    assert ask(Q.real(z))             == True
    assert ask(Q.complex(z))          == True
    assert ask(Q.irrational(z))       == True
    assert ask(Q.imaginary(z))        == False
    assert ask(Q.positive(z))         == True
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == False
    assert ask(Q.odd(z))              == False
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == False
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == False

    z = S.Pi + 1
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == False
    assert ask(Q.rational(z))         == False
    assert ask(Q.real(z))             == True
    assert ask(Q.complex(z))          == True
    assert ask(Q.irrational(z))       == True
    assert ask(Q.imaginary(z))        == False
    assert ask(Q.positive(z))         == True
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == False
    assert ask(Q.odd(z))              == False
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == False
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == False

    z = 2*S.Pi
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == False
    assert ask(Q.rational(z))         == False
    assert ask(Q.real(z))             == True
    assert ask(Q.complex(z))          == True
    assert ask(Q.irrational(z))       == True
    assert ask(Q.imaginary(z))        == False
    assert ask(Q.positive(z))         == True
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == False
    assert ask(Q.odd(z))              == False
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == False
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == False

    z = S.Pi ** 2
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == False
    assert ask(Q.rational(z))         == False
    assert ask(Q.real(z))             == True
    assert ask(Q.complex(z))          == True
    assert ask(Q.irrational(z))       == True
    assert ask(Q.imaginary(z))        == False
    assert ask(Q.positive(z))         == True
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == False
    assert ask(Q.odd(z))              == False
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == False
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == False

    z = (1+S.Pi) ** 2
    assert ask(Q.commutative(z))      == True
    assert ask(Q.integer(z))          == False
    assert ask(Q.rational(z))         == False
    assert ask(Q.real(z))             == True
    assert ask(Q.complex(z))          == True
    assert ask(Q.irrational(z))       == True
    assert ask(Q.imaginary(z))        == False
    assert ask(Q.positive(z))         == True
    assert ask(Q.negative(z))         == False
    assert ask(Q.even(z))             == False
    assert ask(Q.odd(z))              == False
    assert ask(Q.bounded(z))          == True
    assert ask(Q.infinitesimal(z))    == False
    assert ask(Q.prime(z))            == False
    assert ask(Q.composite(z))        == False
开发者ID:lazovich,项目名称:sympy,代码行数:87,代码来源:test_query.py


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