numpy.polynomial.legendre.legweight
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numpy.polynomial.legendre.legweight(x)[source] -
Weight function of the Legendre polynomials.
The weight function is
and the interval of integration is ![[-1, 1]](data:image/svg+xml;base64,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)
. The Legendre polynomials are orthogonal, but not normalized, with respect to this weight function.- Parameters
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xarray_like -
Values at which the weight function will be computed.
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- Returns
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wndarray -
The weight function at
x.
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Notes
New in version 1.7.0.
© 2005–2020 NumPy Developers
Licensed under the 3-clause BSD License.
https://numpy.org/doc/1.19/reference/generated/numpy.polynomial.legendre.legweight.html