numpy.polynomial.polynomial.Polynomial

class numpy.polynomial.polynomial. Polynomial ( coef , domain = None , window = None , symbol = 'x' )

A power series class.

The Polynomial class provides the standard Python numerical methods ‘+’, ‘-’, ‘*’, ‘//’, ‘%’, ‘divmod’, ‘**’, and ‘()’ as well as the attributes and methods listed in the ABCPolyBase documentation.

Parameters :

coef array_like

Polynomial coefficients in order of increasing degree, i.e., (1, 2, 3) give 1 + 2*x + 3*x**2 .

domain (2,) array_like, optional

Domain to use. The interval [domain[0], domain[1]] is mapped to the interval [window[0], window[1]] by shifting and scaling. The default value is [-1, 1].

window (2,) array_like, optional

Window, see domain for its use. The default value is [-1, 1].

New in version 1.6.0.

Attributes :

basis_name

symbol

Methods

__call__ (arg)	Call self as a function.
basis (deg[, domain, window, symbol])	Series basis polynomial of degree deg .
cast (series[, domain, window])	Convert series to series of this class.
convert ([domain, kind, window])	Convert series to a different kind and/or domain and/or window.
copy ()	Return a copy.
cutdeg (deg)	Truncate series to the given degree.
degree ()	The degree of the series.
deriv ([m])	Differentiate.
fit (x, y, deg[, domain, rcond, full, w, ...])	Least squares fit to data.
fromroots (roots[, domain, window, symbol])	Return series instance that has the specified roots.
has_samecoef (other)	Check if coefficients match.
has_samedomain (other)	Check if domains match.
has_sametype (other)	Check if types match.
has_samewindow (other)	Check if windows match.
identity ([domain, window, symbol])	Identity function.
integ ([m, k, lbnd])	Integrate.
linspace ([n, domain])	Return x, y values at equally spaced points in domain.
mapparms ()	Return the mapping parameters.
roots ()	Return the roots of the series polynomial.
trim ([tol])	Remove trailing coefficients
truncate (size)	Truncate series to length size .

Methods

basis (deg[, domain, window, symbol])	Series basis polynomial of degree deg .
cast (series[, domain, window])	Convert series to series of this class.
convert ([domain, kind, window])	Convert series to a different kind and/or domain and/or window.
copy ()	Return a copy.
cutdeg (deg)	Truncate series to the given degree.
degree ()	The degree of the series.
deriv ([m])	Differentiate.
fit (x, y, deg[, domain, rcond, full, w, ...])	Least squares fit to data.
fromroots (roots[, domain, window, symbol])	Return series instance that has the specified roots.
has_samecoef (other)	Check if coefficients match.
has_samedomain (other)	Check if domains match.
has_sametype (other)	Check if types match.
has_samewindow (other)	Check if windows match.
identity ([domain, window, symbol])	Identity function.
integ ([m, k, lbnd])	Integrate.
linspace ([n, domain])	Return x, y values at equally spaced points in domain.
mapparms ()	Return the mapping parameters.
roots ()	Return the roots of the series polynomial.
trim ([tol])	Remove trailing coefficients
truncate (size)	Truncate series to length size .

Properties

basis_name
domain
maxpower
symbol
window