https://github.com/kirienko/unseries

Allows to deal with power series which coefficients contain uncertainties
https://github.com/kirienko/unseries

python taylor-series uncertainties uncertainty-propagation

Last synced: about 2 months ago
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Allows to deal with power series which coefficients contain uncertainties

• Host: GitHub
• URL: https://github.com/kirienko/unseries
• Owner: kirienko
• License: gpl-3.0
• Created: 2017-02-22T09:52:02.000Z (almost 8 years ago)
• Default Branch: master
• Last Pushed: 2018-04-05T11:44:50.000Z (over 6 years ago)
• Last Synced: 2024-10-13T14:44:53.416Z (3 months ago)
• Topics: python, taylor-series, uncertainties, uncertainty-propagation
• Language: Python
• Size: 26.4 KB
• Stars: 1
• Watchers: 3
• Forks: 0
• Open Issues: 3
• Metadata Files:
  • Readme: README.rst
  • License: LICENSE

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README

        
unseries

########

.. image:: https://badge.fury.io/py/unseries.svg

       :target: https://badge.fury.io/py/unseries

.. image:: https://travis-ci.org/kirienko/unseries.svg?branch=master

       :target: https://travis-ci.org/kirienko/unseries

.. image:: https://landscape.io/github/kirienko/unseries/master/landscape.png

       :target: https://landscape.io/github/kirienko/unseries/master

This package allows to deal with power series which coefficients contain uncertainties.

It is build on top of ``uncertainties`` python package (see `here `_).

Scope

-----

For now the following fuctions are available:

    - series addition and subtraction

    - comparision (*greater than*, *less than*)

    - series multiplication

    - series inversion, i.e. ``Z(g) ➝ 1/Z(g)``

    - series division (in the assumption that all powers are non-negative)

    - exponentiation

    - analitic differentiation

    - substitution, i.e. calculation of a series ``Z(g)`` at the point ``g₀`` to a number with uncertainty

    - approximation

    - some technical functions: ``pprint``, ``save`` [to file],

Example

-------

Assume two series:

``Z₁(g) =  1.00(30) +  2.0000(30) g``

``Z₂(g) = -1.0(4) - 2.000(4) g + 999.00(10) g²``

Then

``Z₁+Z₂ = 0.0(5) + 0.000(5) g + 999.00(10) g²``

.. code-block:: python

    from unseries import Series

    z1 = Series(2, {0: ufloat(1, 0.3), 1: ufloat(2, .003)})

    z2 = Series(3, {0: ufloat(-1, 0.4), 1: ufloat(-2, .004), 2: ufloat(999, .1)})

    print z1 + z2