Vous êtes un professionnel et vous avez besoin d'une formation ? Sensibilisation à
l'Intelligence Artificielle Voir le programme détaillé

Module « scipy.special »

Fonction ellipkinc - module scipy.special

Signature de la fonction ellipkinc

def ellipkinc(*args, **kwargs) 

Description

help(scipy.special.ellipkinc)

ellipkinc(x1, x2, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature])


    ellipkinc(phi, m, out=None)

    Incomplete elliptic integral of the first kind

    This function is defined as

    .. math:: K(\phi, m) = \int_0^{\phi} [1 - m \sin(t)^2]^{-1/2} dt

    This function is also called :math:`F(\phi, m)`.

    Parameters
    ----------
    phi : array_like
        amplitude of the elliptic integral
    m : array_like
        parameter of the elliptic integral
    out : ndarray, optional
        Optional output array for the function values

    Returns
    -------
    K : scalar or ndarray
        Value of the elliptic integral

    See Also
    --------
    ellipkm1 : Complete elliptic integral of the first kind, near `m` = 1
    ellipk : Complete elliptic integral of the first kind
    ellipe : Complete elliptic integral of the second kind
    ellipeinc : Incomplete elliptic integral of the second kind
    elliprf : Completely-symmetric elliptic integral of the first kind.

    Notes
    -----
    Wrapper for the Cephes [1]_ routine `ellik`.  The computation is
    carried out using the arithmetic-geometric mean algorithm.

    The parameterization in terms of :math:`m` follows that of section
    17.2 in [2]_. Other parameterizations in terms of the
    complementary parameter :math:`1 - m`, modular angle
    :math:`\sin^2(\alpha) = m`, or modulus :math:`k^2 = m` are also
    used, so be careful that you choose the correct parameter.

    The Legendre K incomplete integral (or F integral) is related to
    Carlson's symmetric R_F function [3]_.
    Setting :math:`c = \csc^2\phi`,

    .. math:: F(\phi, m) = R_F(c-1, c-k^2, c) .

    References
    ----------
    .. [1] Cephes Mathematical Functions Library,
           http://www.netlib.org/cephes/
    .. [2] Milton Abramowitz and Irene A. Stegun, eds.
           Handbook of Mathematical Functions with Formulas,
           Graphs, and Mathematical Tables. New York: Dover, 1972.
    .. [3] NIST Digital Library of Mathematical
           Functions. http://dlmf.nist.gov/, Release 1.0.28 of
           2020-09-15. See Sec. 19.25(i) https://dlmf.nist.gov/19.25#i
    

Vous êtes un professionnel et vous avez besoin d'une formation ? Machine Learning
avec Scikit-Learn Voir le programme détaillé