MF-Algebra 0.5.0

Manim plugin which aims to make it much easier to meaningfully transform algebra expressions.

Introduction

This is a ManimGL / ManimCE plugin (still under construction) for the automated animation of algebra. It consists of a few key components:

• Expression: These objects contain a tree structure representing algebra expressions/equations, such as 3x^2, 5+9, and sin(y)=14e^x, as well as a method for producing a corresponding Tex/MathTex mobject.
• Action: These objects contain methods to convert between expressions/equations, such as adding something to both sides, or substituting a variable for a value. This conversion can be static or animated.
• Timeline: These objects contain an alternating sequence of expressions and actions, and methods for automatically determining these sequences, and animating them.

Expression

There are many subclasses of Expression:

Expression
├── Variable
├── Number
│   ├── Integer
│   └── Real
├── Combiner
│   ├── Operation
│   │   ├── Add
│   │   ├── Sub
│   │   ├── Mul
│   │   ├── Div
│   │   └── Pow
│   ├── Relation
│   │   ├── Equation
│   │   ├── LessThan
│   │   ├── ...
│   └── Sequence
├── Function
└── Negative

Every Expression contains an attribute called children, which is a list. Sometimes this list is empty, such as for variables and numbers. But often this list contains other Expressions, such as for operations and functions.