algebra 0.2.0

Algebraic structures

Algebra

Algebraic structures

Note: Algebra requires Python 3.6 or higher.

Requirements and Installation

See the instructions here. Then simply

pip install algebra

Algebra

This package provides an algebra where the elements can be manipulated in a natural way, with basic algebraic simplifications happening automatically. It also support equality checking, which is conservative: if x == y, then x is equal to y; but if x != y, then either x is different from y, or it could not be proven that x is equal to y.

As an example, let's create numbered elements.

from algebra import Element


class Numbered(Element):
    total = 0
    
    def __init__(self):
        self.num = Numbered.total
        Numbered.total += 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
True

>>> x0 == x1
False

>>> x0 + x1
x0 + x1

>>> x0 + x0
2 * x0

>>> x0 + x1 == x1 + x0
True

>>> x0 - x0
0

>>> 2 + x0
2 * 1 + x0

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

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

Create Your Own Algebra

Coming soon.

Function Algebra

Coming soon.

Create Your Own Function Algebra

Coming soon.