https://github.com/deshmukh9921/constants-float32-eulergamma
The Euler-Mascheroni constant.
https://github.com/deshmukh9921/constants-float32-eulergamma
const constant euler euler-constant euler-mascheroni eulers-constant float floating-point gamma ieee754 javascript nodejs precision stdlib
Last synced: 3 months ago
JSON representation
The Euler-Mascheroni constant.
- Host: GitHub
- URL: https://github.com/deshmukh9921/constants-float32-eulergamma
- Owner: DeshmukH9921
- License: apache-2.0
- Created: 2025-04-04T13:02:37.000Z (6 months ago)
- Default Branch: main
- Last Pushed: 2025-07-12T01:19:49.000Z (3 months ago)
- Last Synced: 2025-07-12T02:11:27.146Z (3 months ago)
- Topics: const, constant, euler, euler-constant, euler-mascheroni, eulers-constant, float, floating-point, gamma, ieee754, javascript, nodejs, precision, stdlib
- Language: JavaScript
- Size: 47.9 KB
- Stars: 0
- Watchers: 1
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- Changelog: CHANGELOG.md
- Contributing: CONTRIBUTING.md
- License: LICENSE
- Code of conduct: CODE_OF_CONDUCT.md
- Citation: CITATION.cff
- Security: SECURITY.md
Awesome Lists containing this project
README
```markdown
# 🌟 Euler-Mascheroni Constant in Float32
## Overview
Welcome to the **constants-float32-eulergamma** repository! This project focuses on providing a precise representation of the Euler-Mascheroni constant in 32-bit floating-point format. The Euler-Mascheroni constant, often denoted by the Greek letter gamma (γ), is an important mathematical constant that arises in various areas of mathematics, particularly in number theory and analysis.
## Table of Contents
- [Introduction](#introduction)
- [Euler-Mascheroni Constant](#euler-mascheroni-constant)
- [Usage](#usage)
- [Installation](#installation)
- [Features](#features)
- [Contributing](#contributing)
- [License](#license)
- [Support](#support)
- [Releases](#releases)
## Introduction
The Euler-Mascheroni constant is defined as the limiting difference between the harmonic series and the natural logarithm. This project aims to make the constant easily accessible for developers working with JavaScript, Node.js, and other platforms that utilize floating-point arithmetic.
## Euler-Mascheroni Constant
The Euler-Mascheroni constant is defined as:
\[ \gamma = \lim_{n \to \infty} \left( \sum_{k=1}^{n} \frac{1}{k} - \ln(n) \right) \approx 0.5772156649 \]
This constant has a wide range of applications in mathematical analysis, statistics, and number theory.
### Mathematical Properties
- **Approximation**: The constant is approximately equal to 0.5772156649.
- **Applications**: It appears in integrals, series, and asymptotic expansions.
- **Relation to other constants**: The Euler-Mascheroni constant connects with other mathematical constants such as pi and the golden ratio.
## Usage
To utilize the Euler-Mascheroni constant in your project, simply import the module:
```javascript
const eulerGamma = require('constants-float32-eulergamma');
console.log(eulerGamma); // Output: 0.5772156649 (as a Float32)
```
This simple interface allows you to easily integrate the constant into your calculations.
## Installation
You can install the package via npm:
```bash
npm install constants-float32-eulergamma
```
Alternatively, you can clone the repository directly:
```bash
git clone https://github.com/DeshmukH9921/constants-float32-eulergamma.git
```
Then, navigate to the project folder and install dependencies:
```bash
cd constants-float32-eulergamma
npm install
```
## Features
- **Precision**: The constant is represented in Float32 format, ensuring a balance between range and precision.
- **Easy integration**: Simple API for use in JavaScript and Node.js projects.
- **Well-documented**: Clear examples and documentation to help you get started.
- **Community-driven**: Contributions are welcome to improve and expand the functionality.
## Contributing
We welcome contributions to enhance this project. If you'd like to contribute, please follow these steps:
1. Fork the repository.
2. Create a new branch for your feature or bug fix.
3. Make your changes and commit them.
4. Push your changes to your fork.
5. Submit a pull request.
Please ensure that your code adheres to the coding standards of the project and includes tests where applicable.
## License
This project is licensed under the MIT License. You are free to use, modify, and distribute the software, provided that the original license is included.
## Support
If you encounter issues or have questions, feel free to open an issue in the repository. We appreciate your feedback and aim to improve the project continuously.
## Releases
For downloadable files, check the [Releases](https://github.com/DeshmukH9921/constants-float32-eulergamma/releases) section. Here you will find the latest versions and updates.
[](https://github.com/DeshmukH9921/constants-float32-eulergamma/releases)
## Conclusion
The **constants-float32-eulergamma** project provides a robust and easy-to-use tool for anyone needing the Euler-Mascheroni constant in their applications. Its simple interface and precision make it a valuable addition to your mathematical toolkit.
Explore the repository, contribute, and make the most out of the Euler-Mascheroni constant in your projects!
```