AxiomX 0.0.1

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

AxiomX Math Library

AxiomX is a dynamic Python math library created by Eric Joseph. It includes numerous mathematical functions implemented from scratch, such as:

Features

🔢 Number Operations

• absolute(x) - Absolute value
• get_digits(x) - Extract digits of a number
• gamma(x) - Lanczos-based Gamma function
• factorial(x) - Based on Gamma function
• sqrt(n) - Newton-Raphson square root

➗ Continued Fractions

• continued_fraction(constant, [terms]) - This method generates a list of the denominators of the simple fraction of the give constant. The number of terms can be adjusted.
• evaluate_continued_fraction(list) - This method evaluates a simple continued fraction by its denominators.

📚 Constants

Includes: pi - 3.141592653589793 e - 2.718281828459045 tau - 2 * pi lemniscate - 2.622057554292119 gelfond - e ** pi sqrt_2 - sqrt(2) sqrt_3 - sqrt(3) sqrt_5 - sqrt(5) golden_ratio - (1 + sqrt_5) / 2 silver_ratio - 1 + sqrt_2 apery - zeta(3) gauss - lemniscate / pi ramanujan - gelfond ** sqrt(163) euler_mascheroni - 0.577215664901533

🔢 Zeta Function

• zeta(n) - Riemann zeta approximation

📈 Logarithmic & Exponential

• exp(n) - Returns e**n.
• ln(x) - Returns the natural logarithm of x.
• log10(x) - Returns the common logarithm of x.
• log(a, b) - Returns the logarithm of a to the base b.

🔺 Trigonometric Functions

• sin(x)
• cos(x)
• tan(x)
• Inverse trig functions like arcsin, arccos, etc.
• Hyperbolic functions and their inverses

Version

0.0.1

Usage

python

import AxiomX as ax

print(ax.sin(ax.pi/2))

Notes

Gamma and some trigonometric handling are still experimental and may be refined in future versions. AxiomX is open-source and can be used anywhere. This library is licensed under MIT and no one is allowed to copy code from AxiomX. Hope you all enjoy AxiomX.