Algebraic structures

## Project description

# 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.

## Project details

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