AxiomX 0.1.1

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

AxiomX

AxiomX is a lightweight Python scientific math library focused on numerical computation, series-based evaluation, and foundational mathematical functions. It is designed to be simple, fast and extensible—ideal for learning, experimentation, and building advanced math systems.

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🚀 Features

📚 Constants (included in AxiomX.constants)

• pi
• e
• lemniscate constant (lemniscate)
• gauss constant (gauss)
• infinity
• square roots of 2, 3 and 5 (sqrt_2, sqrt_3, sqrt_5)
• golden ratio (golden_ratio)
• silver ratio (silver_ratio)
• metallic_ratio(n) - Returns the metallic ratio of the order n.
• euler-mascheroni constant (euler_mascheroni)

🔢 Mathematical Functions (included in AxiomX.functions)

• absolute(x)
• sqrt(n) - using Halley's Method
• cbrt(n) - using Newton-Raphson Method
• gamma(x)
• factorial(n) - using gamma function
• zeta(n) - returns the Riemann Zeta function evaluated at n
• beta(n) - returns the Dirichlet Beta function evaluated at n
• bc(n, k) - returns the binomial coefficient evaluated at n and k
• pascal(row) - returns a list containing all the numbers at the rowth row in the Pascal Triangle.

📈 Exponential Functions (included in AxiomX.exp)

• exp(n) - returns e^n, where e is Euler's number.
• ln(x) - returns the natural logarithm of x.
• log10(x) - returns the common logarithm of x.
• log2(x) - returns the binary logarithm of x.
• log(arg, base) - returns the logarithm of arg to the base base.

📐 Trigonometric Functions (included in AxiomX.trig)

• sin(x) — Calculated from Taylor series expansion
• cos(x) — derived from sine
• tan(x), cot(x), sec(x), cosec(x)
• radians(deg) — degrees → radians
• degrees(rad) — radians → degrees

🔄 Inverse Trigonometric Functions (also included in AxiomX.trig)

• arcsin(x) — Newton's method
• arccos(x)
• arctan(x)
• arccot(x)
• arcsec(x)
• arccosec(x)

🔥 Hyperbolic Functions and Inverse Functions (included in AxiomX.hyperbolic)

• sinh(x) - calculated using formula
• cosh(x), tanh(x), sech(x), cosech(x), coth(x)
• arcsinh(x), arccosh(x), arctanh(x), arccoth(x), arcsech(x), arccosech(x)

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🧠 Usage

from AxiomX import trig, constants, calculus

print(trig.sin(constants.pi)) # prints 0
print(calculus.converges(lambda x: 1 / x)) # prints False

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🛣️ Roadmap

Upcoming improvements:

• Limit evaluation engine
• Convergence detection for series
• Combinatorics utilities, Pascal's Triangle
• Performance optimizations.

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🤝 Contributing

Contributions are welcome!\You can help by:

• Reporting bugs in our Discord
• Adding suggestions
• Improving performance.

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📦 Installation

You can install AxiomX by going into the terminal and typing pip install AxiomX.

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📄 License

This software is licensed under MIT and no one is supposed to copy code from AxiomX.

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🌐 Links

Website: https://axiomxpy.wordpress.com
Discord Invite: https://discord.gg/CrEf8mDB

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⭐ Support

If you like AxiomX, consider:

• Sharing it with other friends
• Using it in your projects

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