🧮 MathLab: Advanced Mathematical Computation Toolkit

A comprehensive mathematical computation toolkit implemented in Make, offering advanced features for calculus, algebra, geometry, statistics, and trigonometry.

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📁 Project Structure

mathlab/
├── lib/
│   ├── calc.mk      # Calculus operations
│   ├── alg.mk       # Algebra & matrix operations
│   ├── geo.mk       # Geometry calculations
│   ├── stats.mk     # Statistical functions
│   └── trig.mk      # Trigonometric operations
├── util/
│   ├── const.mk     # Mathematical constants
│   └── helper.mk    # Utility functions
└── run.mk           # Main execution file

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🚀 Features

🧮 Calculus

• Derivatives (Power rule, Chain rule)
• Integrals
• Limits
• Taylor series
• Partial derivatives

🔢 Algebra

• Matrix operations (multiplication, addition, determinant)
• Polynomial solving
• Sequence and series calculations

📐 Geometry

• Circle & sphere computations
• Triangle operations
• Vector calculations
• Distance formulas

📊 Statistics

• Mean, median, and variance
• Standard deviation
• Permutations & combinations
• Probability calculations

📏 Trigonometry

• Basic trigonometric functions (sin, cos, tan)
• Inverse trigonometric functions
• Hyperbolic functions

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🛠️ Requirements

• Unix-like operating system (Linux/MacOS)
• GNU Make
• BC (Basic Calculator)

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📥 Installation

1. Clone the repository:

   git clone https://github.com/sazumivicky/mathlab.git
   cd mathlab

2. Ensure you have the required dependencies:

   # For Debian/Ubuntu
   sudo apt-get install make bc
   
   # For MacOS
   brew install make bc

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💻 Usage

Run all tests:

make -f run.mk

Run specific tests:

make -f run.mk test      # Basic tests
make -f run.mk advanced  # Advanced calculations

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📚 Examples

$(call def_dx,2,x)

$(call mat_mult,2 3,4 5)

$(call circle_area,5)

$(call vec_mag,3,4,0)

$(call prob,3,6)

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🤝 Contributing

1. Fork the project
2. Create your feature branch (git checkout -b feature/example)
3. Commit your changes (git commit -m 'Add some example')
4. Push to the branch (git push origin feature/example)
5. Open a Pull Request

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📝 License

This project is licensed under the MIT License - see the LICENSE file for details.

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👥 Authors

• Sazumi Viki - Initial work - SazumiVicky

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🙏 Acknowledgments

• Inspired by advanced mathematical computations
• Thanks to the Make and BC development communities
• Special thanks to all contributors

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📧 Contact

Sazumi Viki - root@sazumi.moe

Project Link: https://github.com/sazumivicky/mathlab

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⌨️ with ❤️ by Sazumi Viki