archimedes.measure.RealLine

class archimedes.measure.RealLine

The reference real line \((-\infty, \infty)\), reparametrized by a location and scale. Shared by both Hermite measures.

Classes

Parameters([loc, scale])

Location/scale of the target domain; see affine_params.

Methods

affine_params([loc, scale])	Location-scale map \(x = \mathrm{loc} + \mathrm{scale} \cdot t\).
resolve_params([loc, scale])	Build this domain's Parameters, defaulting to loc=1.0, scale=1.0

Attributes

support

Support \((-\infty, \infty)\).

__init__()

affine_params(loc=None, scale=None) → tuple[float, float]

Location-scale map \(x = \mathrm{loc} + \mathrm{scale} \cdot t\).

Note that the meaning of scale depends on the weight paired with this domain, not on the domain itself: for the physicists’ Hermite weight \(e^{-t^2}\) it is \(\sqrt{2}\) times the standard deviation of the corresponding Gaussian density, while for the probabilists’ weight \(e^{-t^2/2}\) it is exactly that standard deviation. See the respective Measure docstrings.

Parameters:

• loc (float, optional) – Location of the target domain. Default 0.

• scale (float, optional) – Scale of the target domain. Default 1.

Returns:

scale, shift – Affine parameters as derived above.

Return type:

float

Raises:

ValueError – If scale is not positive.

resolve_params(

loc=None,

scale=None,

) → Parameters

Build this domain’s Parameters, defaulting to loc=1.0, scale=1.0

property support: tuple[float, float]

Support \((-\infty, \infty)\).