AxiomX 0.1.41421

A dynamic Python math library containing numerous mathematical functions implemented from scratch.

AxiomX

A lightweight, pure-Python mathematical engine with an interactive graphing system.

Description

AxiomX is a custom-built mathematics library designed to explore and implement core mathematical concepts from first principles — without relying on heavy external libraries like NumPy or Matplotlib.

It provides tools for:

• Fundamental mathematics
• Calculus operations
• Matrix manipulation
• Interactive graph plotting

Features

Core Mathematics

• Trigonometric functions (sin, cos, tan and their reciprocals) and their inverses.
• Hyperbolic functions (sinh, cosh, tanh and their reciprocals) and their inverses.
• Exponential and Logarithmic functions.
• Custom implementations (no external math engines).

Calculus

• Integration
• Summation
• Convergence detection

Constants

• π (pi)
• e (Euler's number)
• Square Roots of 2, 3 and 5
• Golden ratio, Silver ratio
• Metallic ratios
• Bernoulli numbers
• Stieltjes numbers

Find the Easter egg in AxiomX!

Matrix operations

• Matrix addition, subtraction, multiplication and division.
• Matrix inverse, rank and determinant.

Graphing

AxiomX is now having an advanced graphing system in AxiomX.graph. It now supports the following:

• Plotting multiple functions (without list)
• Improved anti-aliasing
• Supports resetting the zoom level
• Supports exporting graph in high resolution (using PIL)
• Dynamic grid, axis and graph lines

Installation

You can install it via PIP:
pip install AxiomX

Or install it using the wheel file in the downloads section.

Quick Start

Basic Usage

import AxiomX.trig as t
import AxiomX.constants as c

print(t.sin(c.pi / 2)) # prints 1.0
print(t.cos(c.pi)) # prints -1.0

Plot a Graph

from AxiomX.graph import plot

plot(lambda x:x**3) # plots graph of x³

Plot multiple functions in one graph

from AxiomX.graph import plot
from AxiomX.trig import *

plot(lambda x: sin(x)**2, lambda y: cos(y)**2, lambda z: 1) # explanation for sin²x + cos²x = 1

Graph Controls

• Arrow keys - panning around the graph
• Page Up - Zoom out
• Page Down - Zoom in
• Spacebar - reset zoom to 100%

Project Structure:

AxiomX/
│
├── calculus.py       # Differentiation, integration
├── constants.py      # Mathematical constants
├── exp.py            # Exponentials and logs
├── functions.py      # General math utilities
├── graph.py          # Interactive graphing engine
├── hyperbolic.py     # Hyperbolic functions
├── matrix.py         # Matrix operations
├── sqrt_2.py         # √2 expansion (special module)
├── trig.py           # Trigonometric functions
└── __init__.py

Note

This library is designed for mathematical and educational purposes. It is NOT intended to replace high-performance libraries like NumPy or SciPy.

Version

0.1.41421 (that's √2!)