Python function.GinacFunction类代码示例

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本文整理汇总了Python中sage.symbolic.function.GinacFunction类的典型用法代码示例。如果您正苦于以下问题：Python GinacFunction类的具体用法？Python GinacFunction怎么用？Python GinacFunction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GinacFunction类的14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，您的评价将有助于我们的系统推荐出更棒的Python代码示例。

示例1: init

    def __init__(self):
        """
        The arcsine function.

        EXAMPLES::

            sage: arcsin(0.5)
            0.523598775598299
            sage: arcsin(1/2)
            1/6*pi
            sage: arcsin(1 + 1.0*I)
            0.666239432492515 + 1.06127506190504*I

        We can delay evaluation using the ``hold`` parameter::

            sage: arcsin(0,hold=True)
            arcsin(0)

        To then evaluate again, we currently must use Maxima via
        :meth:`sage.symbolic.expression.Expression.simplify`::

            sage: a = arcsin(0,hold=True); a.simplify()
            0

        ``conjugate(arcsin(x))==arcsin(conjugate(x))``, unless on the branch
        cuts which run along the real axis outside the interval [-1, +1].::

            sage: conjugate(arcsin(x))
            conjugate(arcsin(x))
            sage: var('y', domain='positive')
            y
            sage: conjugate(arcsin(y))
            conjugate(arcsin(y))
            sage: conjugate(arcsin(y+I))
            conjugate(arcsin(y + I))
            sage: conjugate(arcsin(1/16))
            arcsin(1/16)
            sage: conjugate(arcsin(2))
            conjugate(arcsin(2))
            sage: conjugate(arcsin(-2))
            -conjugate(arcsin(2))

        TESTS::

            sage: arcsin(x)._sympy_()
            asin(x)
            sage: arcsin(x).operator()
            arcsin
            sage: asin(complex(1,1))
            (0.6662394324925152+1.0612750619050357j)

        Check that :trac:`22823` is fixed::

            sage: bool(asin(SR(2.1)) == NaN)
            True
            sage: asin(SR(2.1)).is_real()
            False
        """
        GinacFunction.__init__(self, 'arcsin', latex_name=r"\arcsin",
                conversions=dict(maxima='asin', sympy='asin', fricas="asin", giac="asin"))

开发者ID:mcognetta，项目名称:sage，代码行数:60，代码来源:trig.py

示例2: init

    def __init__(self):
        r"""
        The hyperbolic sine function.

        EXAMPLES::

            sage: sinh(pi)
            sinh(pi)
            sage: sinh(3.1415)
            11.5476653707437
            sage: float(sinh(pi))
            11.54873935725774...
            sage: RR(sinh(pi))
            11.5487393572577

            sage: latex(sinh(x))
            \sinh\left(x\right)
            sage: sinh(x)._sympy_()
            sinh(x)

        To prevent automatic evaluation, use the ``hold`` parameter::

            sage: sinh(arccosh(x),hold=True)
            sinh(arccosh(x))

        To then evaluate again, use the ``unhold`` method::

            sage: sinh(arccosh(x),hold=True).unhold()
            sqrt(x + 1)*sqrt(x - 1)
        """
        GinacFunction.__init__(self, "sinh", latex_name=r"\sinh")

开发者ID:saraedum，项目名称:sage-renamed，代码行数:31，代码来源:hyperbolic.py

示例3: init

    def __init__(self):
        """
        The sine function.

        EXAMPLES::

            sage: sin(0)
            0
            sage: sin(x).subs(x==0)
            0
            sage: sin(2).n(100)
            0.90929742682568169539601986591
            sage: loads(dumps(sin))
            sin

        We can prevent evaluation using the ``hold`` parameter::

            sage: sin(0,hold=True)
            sin(0)

        To then evaluate again, we currently must use Maxima via
        :meth:`sage.symbolic.expression.Expression.simplify`::

            sage: a = sin(0,hold=True); a.simplify()
            0

        TESTS::

            sage: conjugate(sin(x))
            sin(conjugate(x))
        """
        GinacFunction.__init__(self, "sin", latex_name=r"\sin",
                conversions=dict(maxima='sin',mathematica='Sin'))

开发者ID:CETHop，项目名称:sage，代码行数:33，代码来源:trig.py

示例4: init

    def __init__(self):
        r"""
        The absolute value function.

        EXAMPLES::

            sage: var('x y')
            (x, y)
            sage: abs(x)
            abs(x)
            sage: abs(x^2 + y^2)
            abs(x^2 + y^2)
            sage: abs(-2)
            2
            sage: sqrt(x^2)
            sqrt(x^2)
            sage: abs(sqrt(x))
            abs(sqrt(x))
            sage: complex(abs(3*I))
            (3+0j)

            sage: f = sage.functions.other.Function_abs()
            sage: latex(f)
            \mathrm{abs}
            sage: latex(abs(x))
            {\left| x \right|}
        """
        GinacFunction.__init__(self, "abs", latex_name=r"\mathrm{abs}")

开发者ID:ppurka，项目名称:sagelib，代码行数:28，代码来源:other.py

示例5: init

    def __init__(self):
        r"""
        The Heaviside step function, ``heaviside(x)``.

        INPUT:

        -  ``x`` - a real number or a symbolic expression

        EXAMPLES::

            sage: heaviside(-1)
            0
            sage: heaviside(1)
            1
            sage: heaviside(0)
            heaviside(0)
            sage: heaviside(x)
            heaviside(x)
            sage: latex(heaviside(x))
            H\left(x\right)
            sage: heaviside(x)._sympy_()
            Heaviside(x)
            sage: heaviside(x)._giac_()
            Heaviside(x)
            sage: h(x) = heaviside(x)
            sage: h(pi).numerical_approx()
            1.00000000000000
        """
        GinacFunction.__init__(self, "heaviside", latex_name="H",
                                 conversions=dict(maxima='hstep',
                                                  mathematica='HeavisideTheta',
                                                  sympy='Heaviside',
                                                  giac='Heaviside'))

开发者ID:sagemath，项目名称:sage，代码行数:33，代码来源:generalized.py

示例6: init

    def __init__(self):
        r"""
        The hyperbolic tangent function.

        EXAMPLES::

            sage: tanh(pi)
            tanh(pi)
            sage: tanh(3.1415)
            0.996271386633702
            sage: float(tanh(pi))
            0.99627207622075
            sage: tan(3.1415/4)
            0.999953674278156
            sage: tanh(pi/4)
            tanh(1/4*pi)
            sage: RR(tanh(1/2))
            0.462117157260010

        ::

            sage: CC(tanh(pi + I*e))
            0.997524731976164 - 0.00279068768100315*I
            sage: ComplexField(100)(tanh(pi + I*e))
            0.99752473197616361034204366446 - 0.0027906876810031453884245163923*I
            sage: CDF(tanh(pi + I*e))  # rel tol 2e-15
            0.9975247319761636 - 0.002790687681003147*I

        To prevent automatic evaluation, use the ``hold`` parameter::

            sage: tanh(arcsinh(x),hold=True)
            tanh(arcsinh(x))

        To then evaluate again, we currently must use Maxima via
        :meth:`sage.symbolic.expression.Expression.simplify`::

            sage: tanh(arcsinh(x),hold=True).simplify()
            x/sqrt(x^2 + 1)

        TESTS::

            sage: latex(tanh(x))
            \tanh\left(x\right)
            sage: tanh(x)._sympy_()
            tanh(x)

        Check that real/imaginary parts are correct (:trac:`20098`)::

            sage: tanh(1+2*I).n()
            1.16673625724092 - 0.243458201185725*I
            sage: tanh(1+2*I).real().n()
            1.16673625724092
            sage: tanh(1+2*I).imag().n()
            -0.243458201185725
            sage: tanh(x).real()
            sinh(2*real_part(x))/(cos(2*imag_part(x)) + cosh(2*real_part(x)))
            sage: tanh(x).imag()
            sin(2*imag_part(x))/(cos(2*imag_part(x)) + cosh(2*real_part(x)))
        """
        GinacFunction.__init__(self, "tanh", latex_name=r"\tanh")

开发者ID:robertwb，项目名称:sage，代码行数:60，代码来源:hyperbolic.py

示例7: init

    def __init__(self):
        """
        The arctangent function.

        EXAMPLES::

            sage: arctan(1/2)
            arctan(1/2)
            sage: RDF(arctan(1/2))  # rel tol 1e-15
            0.46364760900080615
            sage: arctan(1 + I)
            arctan(I + 1)
            sage: arctan(1/2).n(100)
            0.46364760900080611621425623146

        We can delay evaluation using the ``hold`` parameter::

            sage: arctan(0,hold=True)
            arctan(0)

        To then evaluate again, we currently must use Maxima via
        :meth:`sage.symbolic.expression.Expression.simplify`::

            sage: a = arctan(0,hold=True); a.simplify()
            0

        ``conjugate(arctan(x))==arctan(conjugate(x))``, unless on the branch
        cuts which run along the imaginary axis outside the interval [-I, +I].::

            sage: conjugate(arctan(x))
            conjugate(arctan(x))
            sage: var('y', domain='positive')
            y
            sage: conjugate(arctan(y))
            arctan(y)
            sage: conjugate(arctan(y+I))
            conjugate(arctan(y + I))
            sage: conjugate(arctan(1/16))
            arctan(1/16)
            sage: conjugate(arctan(-2*I))
            conjugate(arctan(-2*I))
            sage: conjugate(arctan(2*I))
            conjugate(arctan(2*I))
            sage: conjugate(arctan(I/2))
            arctan(-1/2*I)

        TESTS::

            sage: arctan(x).operator()
            arctan

        Check that :trac:`19918` is fixed::

            sage: arctan(-x).subs(x=oo)
            -1/2*pi
            sage: arctan(-x).subs(x=-oo)
            1/2*pi
        """
        GinacFunction.__init__(self, "arctan", latex_name=r'\arctan',
                conversions=dict(maxima='atan', sympy='atan'))

开发者ID:anuragwaliya，项目名称:sage，代码行数:60，代码来源:trig.py

示例8: init

    def __init__(self):
        r"""
        Derivatives of the Riemann zeta function.

        EXAMPLES::

            sage: zetaderiv(1, x)
            zetaderiv(1, x)
            sage: zetaderiv(1, x).diff(x)
            zetaderiv(2, x)
            sage: var('n')
            n
            sage: zetaderiv(n,x)
            zetaderiv(n, x)
            sage: zetaderiv(1, 4).n()
            -0.0689112658961254
            sage: import mpmath; mpmath.diff(lambda x: mpmath.zeta(x), 4)
            mpf('-0.068911265896125382')

        TESTS::

            sage: latex(zetaderiv(2,x))
            \zeta^\prime\left(2, x\right)
            sage: a = loads(dumps(zetaderiv(2,x)))
            sage: a.operator() == zetaderiv
            True
        """
        GinacFunction.__init__(self, "zetaderiv", nargs=2)

开发者ID:rwst，项目名称:sage，代码行数:28，代码来源:transcendental.py

示例9: init

    def __init__(self):
        r"""
        The hyperbolic cotangent function.

        EXAMPLES::

            sage: coth(pi)
            coth(pi)
            sage: coth(0)
            Infinity
            sage: coth(pi*I)
            Infinity
            sage: coth(pi*I/2)
            0
            sage: coth(7*pi*I/2)
            0
            sage: coth(8*pi*I/2)
            Infinity
            sage: coth(7.*pi*I/2)
            -I*cot(3.50000000000000*pi)
            sage: coth(3.1415)
            1.00374256795520
            sage: float(coth(pi))
            1.0037418731973213
            sage: RR(coth(pi))
            1.00374187319732

            sage: bool(diff(coth(x), x) == diff(1/tanh(x), x))
            True
            sage: diff(coth(x), x)
            -1/sinh(x)^2
            sage: latex(coth(x))
            \operatorname{coth}\left(x\right)
        """
        GinacFunction.__init__(self, "coth", latex_name=r"\operatorname{coth}")

开发者ID:Babyll，项目名称:sage，代码行数:35，代码来源:hyperbolic.py

示例10: call

    def __call__(self, x, coerce=True, hold=False, prec=None,
            dont_call_method_on_arg=False):
        """
        Note that the ``prec`` argument is deprecated. The precision for
        the result is deduced from the precision of the input. Convert
        the input to a higher precision explicitly if a result with higher
        precision is desired.::

            sage: t = exp(RealField(100)(2)); t
            7.3890560989306502272304274606
            sage: t.prec()
            100

        TESTS::

            sage: exp(2,prec=100)
            doctest:...: DeprecationWarning: The prec keyword argument is deprecated. Explicitly set the precision of the input, for example exp(RealField(300)(1)), or use the prec argument to .n() for exact inputs, e.g., exp(1).n(300), instead.
            7.3890560989306502272304274606
        """
        if prec is not None:
            from sage.misc.misc import deprecation
            deprecation("The prec keyword argument is deprecated. Explicitly set the precision of the input, for example exp(RealField(300)(1)), or use the prec argument to .n() for exact inputs, e.g., exp(1).n(300), instead.")
            x = GinacFunction.__call__(self, x, coerce=coerce, hold=hold,
                    dont_call_method_on_arg=dont_call_method_on_arg)
            return x.n(prec)
        return GinacFunction.__call__(self, x, coerce=coerce, hold=hold,
                dont_call_method_on_arg=dont_call_method_on_arg)

开发者ID:dagss，项目名称:sage，代码行数:27，代码来源:log.py

示例11: init

    def __init__(self):
        r"""
        The cotangent function.

        EXAMPLES::

            sage: cot(pi/4)
            1
            sage: RR(cot(pi/4))
            1.00000000000000
            sage: cot(1/2)
            cot(1/2)
            sage: cot(0.5)
            1.83048772171245

            sage: latex(cot(x))
            \cot\left(x\right)

        We can prevent evaluation using the ``hold`` parameter::

            sage: cot(pi/4,hold=True)
            cot(1/4*pi)

        To then evaluate again, we currently must use Maxima via
        :meth:`sage.symbolic.expression.Expression.simplify`::

            sage: a = cot(pi/4,hold=True); a.simplify()
            1

        EXAMPLES::

            sage: cot(pi/4)
            1
            sage: cot(x).subs(x==pi/4)
            1
            sage: cot(pi/7)
            cot(1/7*pi)
            sage: cot(x)
            cot(x)

            sage: n(cot(pi/4),100)
            1.0000000000000000000000000000
            sage: float(cot(1))
            0.64209261593433...
            sage: bool(diff(cot(x), x) == diff(1/tan(x), x))
            True
            sage: diff(cot(x), x)
            -cot(x)^2 - 1

        TESTS:

        Test complex input::

            sage: cot(complex(1,1))     # rel tol 1e-15
            (0.21762156185440273-0.8680141428959249j)
            sage: cot(1.+I)
            0.217621561854403 - 0.868014142895925*I
        """
        GinacFunction.__init__(self, "cot", latex_name=r"\cot")

开发者ID:Babyll，项目名称:sage，代码行数:59，代码来源:trig.py

示例12: init

    def __init__(self):
        r"""
        The polylog function
        `\text{Li}_n(z) = \sum_{k=1}^{\infty} z^k / k^n`.

        INPUT:

        -  ``n`` - object
        -  ``z`` - object

        EXAMPLES::

            sage: polylog(1, x)
            -log(-x + 1)
            sage: polylog(2,1)
            1/6*pi^2
            sage: polylog(2,x^2+1)
            polylog(2, x^2 + 1)
            sage: polylog(4,0.5)
            polylog(4, 0.500000000000000)

            sage: f = polylog(4, 1); f
            1/90*pi^4
            sage: f.n()
            1.08232323371114

            sage: polylog(4, 2).n()
            2.42786280675470 - 0.174371300025453*I
            sage: complex(polylog(4,2))
            (2.4278628067547032-0.17437130002545306j)
            sage: float(polylog(4,0.5))
            0.5174790616738993

            sage: z = var('z')
            sage: polylog(2,z).series(z==0, 5)
            1*z + 1/4*z^2 + 1/9*z^3 + 1/16*z^4 + Order(z^5)

            sage: loads(dumps(polylog))
            polylog

            sage: latex(polylog(5, x))
            {\rm Li}_{5}(x)

        TESTS:

        Check if #8459 is fixed::

            sage: t = maxima(polylog(5,x)).sage(); t
            polylog(5, x)
            sage: t.operator() == polylog
            True
            sage: t.subs(x=.5).n()
            0.508400579242269
        """
        GinacFunction.__init__(self, "polylog", nargs=2)

开发者ID:BlairArchibald，项目名称:sage，代码行数:55，代码来源:log.py

示例13: init

    def __init__(self):
        """
        The arccosine function.

        EXAMPLES::

            sage: arccos(0.5)
            1.04719755119660
            sage: arccos(1/2)
            1/3*pi
            sage: arccos(1 + 1.0*I)
            0.904556894302381 - 1.06127506190504*I
            sage: arccos(3/4).n(100)
            0.72273424781341561117837735264

        We can delay evaluation using the ``hold`` parameter::

            sage: arccos(0,hold=True)
            arccos(0)

        To then evaluate again, we currently must use Maxima via
        :meth:`sage.symbolic.expression.Expression.simplify`::

            sage: a = arccos(0,hold=True); a.simplify()
            1/2*pi

        ``conjugate(arccos(x))==arccos(conjugate(x))``, unless on the branch
        cuts, which run along the real axis outside the interval [-1, +1].::

            sage: conjugate(arccos(x))
            conjugate(arccos(x))
            sage: var('y', domain='positive')
            y
            sage: conjugate(arccos(y))
            conjugate(arccos(y))
            sage: conjugate(arccos(y+I))
            conjugate(arccos(y + I))
            sage: conjugate(arccos(1/16))
            arccos(1/16)
            sage: conjugate(arccos(2))
            conjugate(arccos(2))
            sage: conjugate(arccos(-2))
            pi - conjugate(arccos(2))

        TESTS::

            sage: arccos(x)._sympy_()
            acos(x)
            sage: arccos(x).operator()
            arccos
            sage: acos(complex(1,1))
            (0.9045568943023814-1.0612750619050357j)
        """
        GinacFunction.__init__(self, 'arccos', latex_name=r"\arccos",
                conversions=dict(maxima='acos', sympy='acos'))

开发者ID:robertwb，项目名称:sage，代码行数:55，代码来源:trig.py

示例14: init

    def __init__(self):
        """
        TESTS::

            sage: loads(dumps(exp))
            exp
            sage: maxima(exp(x))._sage_()
            e^x
        """
        GinacFunction.__init__(self, "exp", latex_name=r"\exp",
                                   conversions=dict(maxima='exp', fricas='exp'))

开发者ID:sagemath，项目名称:sage，代码行数:11，代码来源:log.py

注：本文中的sage.symbolic.function.GinacFunction类示例由纯净天空整理自Github/MSDocs等源码及文档管理平台，相关代码片段筛选自各路编程大神贡献的开源项目，源码版权归原作者所有，传播和使用请参考对应项目的License；未经允许，请勿转载。

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Python function.BuiltinFunction类代码示例发布时间：2022-05-27

Python util.grid_equal函数代码示例

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Python function.GinacFunction类代码示例

示例1: init

示例2: init

示例3: init

示例4: init

示例5: init

示例6: init

示例7: init

示例8: init

示例9: init

示例10: call

示例11: init

示例12: init

示例13: init

示例14: init

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Python function.GinacFunction类代码示例

示例1: __init__

示例2: __init__

示例3: __init__

示例4: __init__

示例5: __init__

示例6: __init__

示例7: __init__

示例8: __init__

示例9: __init__

示例10: __call__

示例11: __init__

示例12: __init__

示例13: __init__

示例14: __init__

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Python util.grid_equal函数代码示例

Python util.get_worker_name函数代码示例

Python util.get_webmention_target函数代

Python util.get_uuid函数代码示例

Python util.get_type_by_name函数代码示例

Python util.grid_equal函数代码示例

Python util.get_worker_name函数代码示例

Python util.get_webmention_target函数代

Python util.get_uuid函数代码示例

Python util.get_type_by_name函数代码示例

Python util.get_stdout函数代码示例

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示例1: init

示例2: init

示例3: init

示例4: init

示例5: init

示例6: init

示例7: init

示例8: init

示例9: init

示例10: call

示例11: init

示例12: init

示例13: init

示例14: init