numpy.polynomial.polynomial.Polynomial

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

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