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    special-mathematical-functions

    math
    function
    calculus
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    0.1.0
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    Apache-2.0
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    last year
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    #enanandesu/special-mathematical-functions

    #已实现：

    • #椭圆函数与椭圆积分

    • #误差函数

    • #菲涅尔积分

    • #函数求逆

    dawsn

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    fn dawsn(x : Double) -> Double

    Dawson's integral.

    ellipe

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    fn ellipe(m : Double) -> Double

    Complete elliptic integral of the second kind E(m)

    ellipeinc

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    fn ellipeinc(phi : Double, m : Double) -> Double

    Incomplete elliptic integral of the second kind F(phi, m)

    ellipj

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    fn ellipj(u : Double, m : Double) -> (Double, Double, Double, Double)

    Jacobian elliptic functions sn, cn, dn and amplitude am Similar to SciPy's ellipj function

    Parameters:
    • u: argument
    • m: parameter (0 <= m < 1)

    Returns: (sn, cn, dn, phi) where phi is the amplitude

    ellipk

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    fn ellipk(m : Double) -> Double

    Complete elliptic integral of the first kind K(m)

    ellipkinc

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    fn ellipkinc(phi : Double, m : Double) -> Double

    Incomplete elliptic integral of the first kind F(phi, m)

    erf

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    fn erf(x : Double) -> Double

    Returns the error function of argument.

    erfc

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    fn erfc(x : Double) -> Double

    Complementary error function, 1 - erf(x).

    erfcinv

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    fn erfcinv(y : Double) -> Double

    Inverse of the complementary error function.

    erfcx

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    fn erfcx(x : Double) -> Double

    Scaled complementary error function, exp(x**2) * erfc(x).

    erfinv

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    fn erfinv(x : Double) -> Double

    Inverse of the error function.

    fresnel

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    fn fresnel(x : Double) -> (Double, Double)

    Fresnel integrals.

    func_inv

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    fn func_inv(target : Double, f : (Double) -> Double, d : (Double) -> Double, initial_guess : Double, max_iterations? : Int, tol? : Double) -> Double?

    Calculates the inverse of a function

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