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• numpy.polynomial.polynomial.Polynomial.domain

  ...numpy.polynomial.polynomial.Polynomial.domain...

• numpy.polynomial.chebyshev.Chebyshev.domain (Python attribute, in numpy.polynomial.chebyshev.Chebyshev.domain)
• numpy.polynomial.hermite.Hermite.domain (Python attribute, in numpy.polynomial.hermite.Hermite.domain)
• numpy.polynomial.hermite_e.HermiteE.domain (Python attribute, in numpy.polynomial.hermite_e.HermiteE.domain)
• numpy.polynomial.laguerre.Laguerre.domain (Python attribute, in numpy.polynomial.laguerre.Laguerre.domain)
• numpy.polynomial.legendre.Legendre.domain (Python attribute, in numpy.polynomial.legendre.Legendre.domain)
• numpy.polynomial.polynomial.Polynomial.domain (Python attribute, in numpy.polynomial.polynomial.Polynomial.domain)
• numpy.polynomial

  ...ynomial, Chebyshev, Hermite, etc.) while the lowercase p represents an instance of a polynomial class. Constants Poly.domain – Default domain Poly.window – Default window Poly.basis_name – String used to represent the basis Poly.m...

• NumPy 1.13.0 Release Notes

  ...pports memory tracing with tracemalloc module of Python 3.6 or newer. Memory allocations from NumPy are placed into the domain defined by numpy.lib.tracemalloc_domain. Note that NumPy allocation will not show up in tracemalloc of earlier Py...

• NumPy 1.14.0 Release Notes

  ...inting mode in order to help transition doctests. The repr of np.polynomial classes is more explicit It now shows the domain and window parameters as keyword arguments to make them more clear: >>> np.polynomial.Polynomial(range(4)) Polyno...

• NumPy 1.4.0 Release Notes

  ...ot work with the Chebyshev and Polynomial classes as arguments, and that the Chebyshev and Polynomial classes include a domain. Mapping between domains is a linear substitution and the two classes can be converted one to the other, allowing...

• NumPy 1.5.0 Release Notes

  ...gument is the desired degree of the result, not the number of coefficients. Polynomial.fit now uses None as the default domain for the fit. The default Polynomial domain can be specified by using [] as the domain value. Weights can be used...

• NumPy 1.6.0 Release Notes

  ...polynomial package. In addition, a new window attribute has been added to the classes in order to specify the range the domain maps to. This is mostly useful for the Laguerre, Hermite, and HermiteE polynomials whose natural domains are infi...

• NumPy 2.0.0 Release Notes

  ...has been removed. Use np.set_printoptions instead with a formatter for custom printing of NumPy objects. np.tracemalloc_domain is now only available from np.lib. np.recfromcsv and np.recfromtxt were removed from the main namespace. Use np.g...

• NumPy reference

  ...ise operations String functionality Datetime support functions Data type routines Mathematical functions with automatic domain Floating point error handling Exceptions and Warnings (numpy.exceptions) Discrete Fourier Transform (numpy.fft) F...

• numpy.convolve

  ...shown that a convolution \(x(t) * y(t)\) in time/space is equivalent to the multiplication \(X(f) Y(f)\) in the Fourier domain, after appropriate padding (padding is necessary to prevent circular convolution). Since multiplication is more...

• numpy.i0

  ...ter. We use the algorithm published by Clenshaw [1] and referenced by Abramowitz and Stegun [2], for which the function domain is partitioned into the two intervals [0,8] and (8,inf), and Chebyshev polynomial expansions are employed in each...

• numpy.polynomial.chebyshev.cheb2poly

  ...nstance. Examples >>> from numpy import polynomial as P >>> c = P.Chebyshev(range(4)) >>> c Chebyshev([0., 1., 2., 3.], domain=[-1., 1.], window=[-1., 1.], symbol='x') >>> p = c.convert(kind=P.Polynomial) >>> p Polynomial([-2., -8., 4.,...

• numpy.polynomial.chebyshev.Chebyshev

  ...numpy.polynomial.chebyshev.Chebyshev class numpy.polynomial.chebyshev.Chebyshev(coef, domain=None, window=None, symbol='x')[source] A Chebyshev series class. The Chebyshev class provides the standard Python...

• numpy.polynomial.chebyshev.Chebyshev.basis

  ...numpy.polynomial.chebyshev.Chebyshev.basis method classmethod polynomial.chebyshev.Chebyshev.basis(deg, domain=None, window=None, symbol='x')[source] Series basis polynomial of degree deg. Returns the series representing the...

• numpy.polynomial.chebyshev.Chebyshev.cast

  ...numpy.polynomial.chebyshev.Chebyshev.cast method classmethod polynomial.chebyshev.Chebyshev.cast(series, domain=None, window=None)[source] Convert series to series of this class. The series is expected to be an instance of so...

• numpy.polynomial.chebyshev.Chebyshev.convert

  ...numpy.polynomial.chebyshev.Chebyshev.convert method polynomial.chebyshev.Chebyshev.convert(domain=None, kind=None, window=None)[source] Convert series to a different kind and/or domain and/or window. Parameters...

• numpy.polynomial.chebyshev.Chebyshev.deriv

  ...-negative intFind the derivative of order m. Returns: new_seriesseriesA new series representing the derivative. The domain is the same as the domain of the differentiated series....

• numpy.polynomial.chebyshev.Chebyshev.domain

  ...numpy.polynomial.chebyshev.Chebyshev.domain...

• numpy.polynomial.chebyshev.Chebyshev.fit

  ...numpy.polynomial.chebyshev.Chebyshev.fit method classmethod polynomial.chebyshev.Chebyshev.fit(x, y, deg, domain=None, rcond=None, full=False, w=None, window=None, symbol='x')[source] Least squares fit to data. Return a series...

• numpy.polynomial.chebyshev.Chebyshev.fromroots

  ...numpy.polynomial.chebyshev.Chebyshev.fromroots method classmethod polynomial.chebyshev.Chebyshev.fromroots(roots, domain=[], window=None, symbol='x')[source] Return series instance that has the specified roots. Returns a series repres...

• numpy.polynomial.chebyshev.Chebyshev.has_samedomain

  ...ial.chebyshev) numpy.polynomial.chebyshev.Chebyshev numpy.polynomial.chebyshev.Chebyshev.has_samedomain...

• numpy.polynomial.chebyshev.Chebyshev.identity
• numpy.polynomial.chebyshev.Chebyshev.integ

  ...calarThe lower bound of the definite integral. Returns: new_seriesseriesA new series representing the integral. The domain is the same as the domain of the integrated series....

• numpy.polynomial.chebyshev.Chebyshev.interpolate

  ...y.polynomial.chebyshev.Chebyshev.interpolate method classmethod polynomial.chebyshev.Chebyshev.interpolate(func, deg, domain=None, args=())[source] Interpolate a function at the Chebyshev points of the first kind. Returns the series that...

• numpy.polynomial.chebyshev.Chebyshev.linspace

  ...numpy.polynomial.chebyshev.Chebyshev.linspace method polynomial.chebyshev.Chebyshev.linspace(n=100, domain=None)[source] Return x, y values at equally spaced points in domain. Returns the x, y values at n linearly spaced...

• numpy.polynomial.chebyshev.Chebyshev.mapparms

  ...a linear map off + scl*x that is applied to the input arguments before the series is evaluated. The map depends on the domain and window; if the current domain is equal to the window the resulting map is the identity. If the coefficients...

• numpy.polynomial.chebyshev.Chebyshev.roots
• numpy.polynomial.chebyshev.poly2cheb

  ...tance. Examples >>> from numpy import polynomial as P >>> p = P.Polynomial(range(4)) >>> p Polynomial([0., 1., 2., 3.], domain=[-1., 1.], window=[-1., 1.], symbol='x') >>> c = p.convert(kind=P.Chebyshev) >>> c Chebyshev([1. , 3.25, 1. ,...

• numpy.polynomial.hermite.Hermite

  ...numpy.polynomial.hermite.Hermite class numpy.polynomial.hermite.Hermite(coef, domain=None, window=None, symbol='x')[source] An Hermite series class. The Hermite class provides the standard Python nu...

• numpy.polynomial.hermite.Hermite.basis

  ...numpy.polynomial.hermite.Hermite.basis method classmethod polynomial.hermite.Hermite.basis(deg, domain=None, window=None, symbol='x')[source] Series basis polynomial of degree deg. Returns the series representing the...

• numpy.polynomial.hermite.Hermite.cast

  ...numpy.polynomial.hermite.Hermite.cast method classmethod polynomial.hermite.Hermite.cast(series, domain=None, window=None)[source] Convert series to series of this class. The series is expected to be an instance of so...

• numpy.polynomial.hermite.Hermite.convert

  ...numpy.polynomial.hermite.Hermite.convert method polynomial.hermite.Hermite.convert(domain=None, kind=None, window=None)[source] Convert series to a different kind and/or domain and/or window. Parameters...

• numpy.polynomial.hermite.Hermite.deriv
• numpy.polynomial.hermite.Hermite.domain

  ...numpy.polynomial.hermite.Hermite.domain...

• numpy.polynomial.hermite.Hermite.fit

  ...numpy.polynomial.hermite.Hermite.fit method classmethod polynomial.hermite.Hermite.fit(x, y, deg, domain=None, rcond=None, full=False, w=None, window=None, symbol='x')[source] Least squares fit to data. Return a series...

• numpy.polynomial.hermite.Hermite.fromroots
• numpy.polynomial.hermite.Hermite.has_samedomain
• numpy.polynomial.hermite.Hermite.identity
• numpy.polynomial.hermite.Hermite.integ
• numpy.polynomial.hermite.Hermite.linspace
• numpy.polynomial.hermite.Hermite.mapparms
• numpy.polynomial.hermite.Hermite.roots
• numpy.polynomial.hermite_e.HermiteE
• numpy.polynomial.hermite_e.HermiteE.basis
• numpy.polynomial.hermite_e.HermiteE.cast
• numpy.polynomial.hermite_e.HermiteE.convert
• numpy.polynomial.hermite_e.HermiteE.deriv
• numpy.polynomial.hermite_e.HermiteE.domain
• numpy.polynomial.hermite_e.HermiteE.fit
• numpy.polynomial.hermite_e.HermiteE.fromroots
• numpy.polynomial.hermite_e.HermiteE.has_samedomain

  ...omial.hermite_e) numpy.polynomial.hermite_e.HermiteE numpy.polynomial.hermite_e.HermiteE.has_samedomain...

• numpy.polynomial.hermite_e.HermiteE.identity

  ...numpy.polynomial.hermite_e.HermiteE.identity method classmethod polynomial.hermite_e.HermiteE.identity(domain=None, window=None, symbol='x')[source] Identity function. If p is the returned series, then p(x) == x for all val...

• numpy.polynomial.hermite_e.HermiteE.integ
• numpy.polynomial.hermite_e.HermiteE.linspace
• numpy.polynomial.hermite_e.HermiteE.mapparms
• numpy.polynomial.hermite_e.HermiteE.roots
• numpy.polynomial.laguerre.Laguerre
• numpy.polynomial.laguerre.Laguerre.basis
• numpy.polynomial.laguerre.Laguerre.cast
• numpy.polynomial.laguerre.Laguerre.convert
• numpy.polynomial.laguerre.Laguerre.deriv
• numpy.polynomial.laguerre.Laguerre.domain
• numpy.polynomial.laguerre.Laguerre.fit
• numpy.polynomial.laguerre.Laguerre.fromroots
• numpy.polynomial.laguerre.Laguerre.has_samedomain
• numpy.polynomial.laguerre.Laguerre.identity
• numpy.polynomial.laguerre.Laguerre.integ
• numpy.polynomial.laguerre.Laguerre.linspace
• numpy.polynomial.laguerre.Laguerre.mapparms
• numpy.polynomial.laguerre.Laguerre.roots
• numpy.polynomial.legendre.leg2poly
• numpy.polynomial.legendre.Legendre
• numpy.polynomial.legendre.Legendre.basis
• numpy.polynomial.legendre.Legendre.cast
• numpy.polynomial.legendre.Legendre.convert
• numpy.polynomial.legendre.Legendre.deriv
• numpy.polynomial.legendre.Legendre.domain
• numpy.polynomial.legendre.Legendre.fit
• numpy.polynomial.legendre.Legendre.fromroots
• numpy.polynomial.legendre.Legendre.has_samedomain
• numpy.polynomial.legendre.Legendre.identity
• numpy.polynomial.legendre.Legendre.integ
• numpy.polynomial.legendre.Legendre.linspace
• numpy.polynomial.legendre.Legendre.mapparms
• numpy.polynomial.legendre.Legendre.roots
• numpy.polynomial.legendre.poly2leg
• numpy.polynomial.polynomial.Polynomial
• numpy.polynomial.polynomial.Polynomial.basis
• numpy.polynomial.polynomial.Polynomial.cast
• numpy.polynomial.polynomial.Polynomial.convert
• numpy.polynomial.polynomial.Polynomial.deriv
• numpy.polynomial.polynomial.Polynomial.domain
• numpy.polynomial.polynomial.Polynomial.fit
• numpy.polynomial.polynomial.Polynomial.fromroots
• numpy.polynomial.polynomial.Polynomial.has_samedomain
• numpy.polynomial.polynomial.Polynomial.identity
• numpy.polynomial.polynomial.Polynomial.integ
• numpy.polynomial.polynomial.Polynomial.linspace
• numpy.polynomial.polynomial.Polynomial.mapparms
• numpy.polynomial.polynomial.Polynomial.roots
• numpy.polynomial.polyutils.getdomain
• numpy.polynomial.polyutils.mapdomain
• numpy.polynomial.polyutils.mapparms
• NumPy’s module structure
• Polynomials
• Using the convenience classes
• numpy.polynomial.chebyshev.chebdomain (Python data, in numpy.polynomial.chebyshev.chebdomain)
• numpy.polynomial.chebyshev.Chebyshev.has_samedomain (Python method, in numpy.polynomial.chebyshev.Chebyshev.has_samedomain)
• numpy.polynomial.hermite.hermdomain (Python data, in numpy.polynomial.hermite.hermdomain)
• numpy.polynomial.hermite.Hermite.has_samedomain (Python method, in numpy.polynomial.hermite.Hermite.has_samedomain)
• numpy.polynomial.hermite_e.hermedomain (Python data, in numpy.polynomial.hermite_e.hermedomain)
• numpy.polynomial.hermite_e.HermiteE.has_samedomain (Python method, in numpy.polynomial.hermite_e.HermiteE.has_samedomain)
• numpy.polynomial.laguerre.lagdomain (Python data, in numpy.polynomial.laguerre.lagdomain)
• numpy.polynomial.laguerre.Laguerre.has_samedomain (Python method, in numpy.polynomial.laguerre.Laguerre.has_samedomain)
• numpy.polynomial.legendre.legdomain (Python data, in numpy.polynomial.legendre.legdomain)
• numpy.polynomial.legendre.Legendre.has_samedomain (Python method, in numpy.polynomial.legendre.Legendre.has_samedomain)
• numpy.polynomial.polynomial.polydomain (Python data, in numpy.polynomial.polynomial.polydomain)
• numpy.polynomial.polynomial.Polynomial.has_samedomain (Python method, in numpy.polynomial.polynomial.Polynomial.has_samedomain)
• numpy.polynomial.polyutils.getdomain (Python function, in numpy.polynomial.polyutils.getdomain)
• numpy.polynomial.polyutils.mapdomain (Python function, in numpy.polynomial.polyutils.mapdomain)
• Routines and objects by topic