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Algebraic structures

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Algebraic structures

Note: Algebra requires Python 3.6 or higher.


Before installing the package, please ensure that gcc and gfortran are available. On OS X, these are both installed with brew install gcc; users of Anaconda may want to instead consider conda install gcc. On Linux, gcc is most likely already available, and gfortran can be installed with apt-get install gfortran. Then simply

pip install algebra


This package provides an algebra where the elements manipulated as expected, with basic algebraic simplifications done automatically.

As an example, let's create numbered elements.

from algebra import Element

class Numbered(Element):
    total = 0
    def __init__(self):
        self.num = += 1
    def render(self, formatter):
        return f'x{self.num}'

Then instances of Numbered can be manipulated as follows.

>>> x0 = Numbered()

>>> x1 = Numbered()

>>> x0 == x0

>>> a == b

>>> x0 + x1
x0 + x1

>>> x0 + x0
2 * x0

>>> x0 + x1 == x1 + x0

>>> x0 - x0

>>> 2 + x0
2 * 1 + x0

>>> (2 + x0) * x1
(2 * 1 + x0) * x1

>>> (2 + x0) * x1 * 0

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