numpy.polynomial.hermite.hermdiv(c1, c2)
[source]
Divide one Hermite series by another.
Returns the quotient-with-remainder of two Hermite series c1
/ c2
. The arguments are sequences of coefficients from lowest order “term” to highest, e.g., [1,2,3] represents the series P_0 + 2*P_1 + 3*P_2
.
Parameters: |
c1, c2 : array_like 1-D arrays of Hermite series coefficients ordered from low to high. |
---|---|
Returns: |
[quo, rem] : ndarrays Of Hermite series coefficients representing the quotient and remainder. |
In general, the (polynomial) division of one Hermite series by another results in quotient and remainder terms that are not in the Hermite polynomial basis set. Thus, to express these results as a Hermite series, it is necessary to “reproject” the results onto the Hermite basis set, which may produce “unintuitive” (but correct) results; see Examples section below.
>>> from numpy.polynomial.hermite import hermdiv >>> hermdiv([ 52., 29., 52., 7., 6.], [0, 1, 2]) (array([ 1., 2., 3.]), array([ 0.])) >>> hermdiv([ 54., 31., 52., 7., 6.], [0, 1, 2]) (array([ 1., 2., 3.]), array([ 2., 2.])) >>> hermdiv([ 53., 30., 52., 7., 6.], [0, 1, 2]) (array([ 1., 2., 3.]), array([ 1., 1.]))
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https://docs.scipy.org/doc/numpy-1.12.0/reference/generated/numpy.polynomial.hermite.hermdiv.html