{"id":29031659,"url":"https://github.com/yogavardha/linear_equation_neuron","last_synced_at":"2025-06-26T10:04:53.607Z","repository":{"id":300095736,"uuid":"1005045835","full_name":"Yogavardha/Linear_Equation_Neuron","owner":"Yogavardha","description":"A Linear Equation Neuron (LEN) efficiently solves systems of linear equations using Gaussian elimination and back substitution. This precise computational unit integrates seamlessly into AI systems, enhancing their interpretability and reliability. 🐙💻","archived":false,"fork":false,"pushed_at":"2025-06-19T20:37:50.000Z","size":10,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":0,"default_branch":"main","last_synced_at":"2025-06-19T21:31:01.640Z","etag":null,"topics":["ai","artificial-neural-networks","artificial-neuron","chatgpt","custom-gpt","gpt","gpts","neurology","neuron","neuron-model","neuron-models","neuroscience","openai"],"latest_commit_sha":null,"homepage":null,"language":null,"has_issues":false,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":null,"status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/Yogavardha.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":null,"code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null,"zenodo":null}},"created_at":"2025-06-19T15:21:40.000Z","updated_at":"2025-06-19T20:37:53.000Z","dependencies_parsed_at":"2025-06-19T21:41:21.428Z","dependency_job_id":null,"html_url":"https://github.com/Yogavardha/Linear_Equation_Neuron","commit_stats":null,"previous_names":["yogavardha/linear_equation_neuron"],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/Yogavardha/Linear_Equation_Neuron","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Yogavardha%2FLinear_Equation_Neuron","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Yogavardha%2FLinear_Equation_Neuron/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Yogavardha%2FLinear_Equation_Neuron/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Yogavardha%2FLinear_Equation_Neuron/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/Yogavardha","download_url":"https://codeload.github.com/Yogavardha/Linear_Equation_Neuron/tar.gz/refs/heads/main","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/Yogavardha%2FLinear_Equation_Neuron/sbom","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":262044447,"owners_count":23249750,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["ai","artificial-neural-networks","artificial-neuron","chatgpt","custom-gpt","gpt","gpts","neurology","neuron","neuron-model","neuron-models","neuroscience","openai"],"created_at":"2025-06-26T10:04:53.364Z","updated_at":"2025-06-26T10:04:53.596Z","avatar_url":"https://github.com/Yogavardha.png","language":null,"funding_links":[],"categories":[],"sub_categories":[],"readme":"# Linear Equation Neuron 🧠\n\nWelcome to the **Linear Equation Neuron** repository! This innovative framework is designed to solve systems of linear equations using Gaussian elimination with back substitution. If you're looking to enhance your understanding of neural networks and linear algebra, you've come to the right place.\n\n[![Download Releases](https://img.shields.io/badge/Download_Releases-brightgreen.svg)](https://github.com/Yogavardha/Linear_Equation_Neuron/releases)\n\n## Table of Contents\n\n- [Introduction](#introduction)\n- [Features](#features)\n- [Getting Started](#getting-started)\n- [Usage](#usage)\n- [Contributing](#contributing)\n- [License](#license)\n- [Contact](#contact)\n\n## Introduction\n\nThe **Linear Equation Neuron** framework utilizes principles from artificial intelligence and neural networks to efficiently solve systems of linear equations. This approach leverages Gaussian elimination, a method known for its effectiveness in linear algebra, and incorporates back substitution to provide accurate solutions.\n\nThis repository serves as a resource for students, educators, and developers interested in both the mathematical and computational aspects of linear equations. By using this framework, you can deepen your understanding of how neurons can be modeled to perform complex calculations.\n\n## Features\n\n- **Gaussian Elimination**: The core algorithm that simplifies systems of equations.\n- **Back Substitution**: An essential step to find the final solutions after applying Gaussian elimination.\n- **Modular Design**: Easy to extend and integrate into other projects.\n- **Documentation**: Comprehensive guides and examples to help you get started.\n- **Performance**: Optimized for speed and accuracy.\n\n## Getting Started\n\nTo get started with the **Linear Equation Neuron**, you need to clone the repository and set up your environment.\n\n### Prerequisites\n\n- Python 3.x\n- NumPy library\n- Basic understanding of linear algebra\n\n### Installation\n\n1. Clone the repository:\n\n   ```bash\n   git clone https://github.com/Yogavardha/Linear_Equation_Neuron.git\n   ```\n\n2. Navigate to the project directory:\n\n   ```bash\n   cd Linear_Equation_Neuron\n   ```\n\n3. Install the required libraries:\n\n   ```bash\n   pip install numpy\n   ```\n\n4. Download the latest release from our [Releases section](https://github.com/Yogavardha/Linear_Equation_Neuron/releases). Execute the downloaded file to start using the framework.\n\n## Usage\n\nHere’s how you can use the **Linear Equation Neuron** framework to solve a system of linear equations.\n\n### Example\n\nSuppose you have the following system of equations:\n\n```\n2x + 3y = 8\n3x + 4y = 11\n```\n\nYou can represent this system in matrix form as:\n\n```\nA = [[2, 3],\n     [3, 4]]\n\nB = [8, 11]\n```\n\nYou can solve for `x` and `y` using the framework as follows:\n\n```python\nimport numpy as np\nfrom linear_equation_neuron import solve_linear_system\n\nA = np.array([[2, 3], [3, 4]])\nB = np.array([8, 11])\n\nsolution = solve_linear_system(A, B)\nprint(\"The solution is:\", solution)\n```\n\n### Documentation\n\nFor more detailed documentation, please refer to the [Wiki section](https://github.com/Yogavardha/Linear_Equation_Neuron/wiki).\n\n## Contributing\n\nWe welcome contributions from the community! If you would like to contribute to the **Linear Equation Neuron**, please follow these steps:\n\n1. Fork the repository.\n2. Create a new branch for your feature or bug fix.\n3. Make your changes and commit them.\n4. Push your branch to your fork.\n5. Submit a pull request.\n\nPlease ensure that your code adheres to the existing style and includes tests where applicable.\n\n## License\n\nThis project is licensed under the MIT License. See the [LICENSE](LICENSE) file for details.\n\n## Contact\n\nFor any questions or suggestions, please reach out to us:\n\n- GitHub: [Yogavardha](https://github.com/Yogavardha)\n- Email: support@linearequationneuron.com\n\nWe appreciate your interest in the **Linear Equation Neuron** framework! Feel free to explore the code, and don't forget to check the [Releases section](https://github.com/Yogavardha/Linear_Equation_Neuron/releases) for the latest updates and downloads.\n\n![Neural Network](https://miro.medium.com/v2/resize:fit:1200/format:webp/1*-zW1pG9G4aUu-9b4l8f8qg.png)\n\n### Topics\n\nThis repository covers various topics related to artificial intelligence, artificial neural networks, and neuroscience:\n\n- AI\n- Artificial Intelligence\n- Artificial Neural Networks\n- Neuron Models\n- Neuroscience\n- OpenAI\n\nExplore these topics to enhance your understanding and application of the concepts in this repository. \n\nThank you for visiting the **Linear Equation Neuron** repository! We hope you find it useful and insightful.","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fyogavardha%2Flinear_equation_neuron","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fyogavardha%2Flinear_equation_neuron","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fyogavardha%2Flinear_equation_neuron/lists"}