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https://github.com/dxns-hub/harmonic-balancer-project

A mathematical tuning fork designed to help individuals find balance in various aspects of life. Our tool leverages key principles to optimize performance and efficiency. We also incorporate fundamental mathematical constants like Pi (π), Euler’s number €, Phi (φ), and Psi (ψ) to explore their potential in achieving optimal balance and efficiency.
https://github.com/dxns-hub/harmonic-balancer-project

ai balance biological-simulations biology enviornmental-analysis fusion harmony quantum-algorithms quantum-computing quantum-mechanics resonance structural-engineering

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A mathematical tuning fork designed to help individuals find balance in various aspects of life. Our tool leverages key principles to optimize performance and efficiency. We also incorporate fundamental mathematical constants like Pi (π), Euler’s number €, Phi (φ), and Psi (ψ) to explore their potential in achieving optimal balance and efficiency.

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README

        

# Welcome to Dxns Hubs Harmonic Balancer Project
## Our Mission
We are dedicated to providing access and opportunities for persons with disabilities in their work lives, fostering a sense of community and belonging.

## Our Values
- **Compassion**: We care deeply about the well-being of every individual.
- **Strength**: Inspired by the resilience of our community.
- **Nurturing**: Creating a supportive environment for growth and success.
- **Exploration**: Encouraging innovation and new possibilities.

## Get Involved
Join us in making a difference! Donate so we can get a new computer!

## Follow Us
Stay updated with our latest news and events.

## Harmoic Balancer Project

A mathematical tuning fork designed to help individuals find balance in various aspects of life. Our tool leverages key principles to optimize performance and efficiency:

- **R (Resonance)**: Identify and optimize patterns within systems.
- **F (Fuel Efficiency)**: Ensure efficient utilization of resources.
- **E (Energy Conversion)**: Optimize the conversion of inputs into outputs.
- **Golden Ratio**: Utilize the golden ratio to achieve natural balance and harmony.

**Equation**: $$\Phi = \sqrt{(R \cdot F^2) + E^2}$$

This equation can be adapted to balance other equations by incorporating different constants, such as:

- **Equation**: $$\sqrt{(R \cdot F^2) + E^2} \cdot \Psi$$
- **Equation**: $$\sqrt{(R \cdot F^2) + E^2} \cdot \pi$$
- **Equation**: $$\sqrt{(R \cdot F^2) + E^2} \cdot \phi$$
- **Equation**: $$\sqrt{(R \cdot F^2) + E^2} \cdot e$$

We also incorporate fundamental mathematical constants like Pi (π), Euler’s number €, Phi (φ), and Psi (ψ) to explore their potential in achieving optimal balance and efficiency.
Join us in exploring the science of balance and harmony to enhance productivity and well-being.

- **Features**
- Multi-agent simulation of interconnected groups
- Various network topologies (small-world, scale-free, random)
- External shock simulations (pulse, sine, step, complex)
- System complexity and resilience analysis
- Visualization of system dynamics and resilience metrics
- **Examples**: Added multiple examples demonstrating how to use the `HarmonicBalancer` class in different fields:
- **Mathematical Constants**: Example using π.
- **Scientific Applications**: Example using an exponential function.
- **Musical Applications**: Example using a sine function.
- **Image Processing**: Example simulating an image processing function.
- **Testing**: Instructions on how to run the tests.
- **Contributing**: Information on how to contribute to the project.
- **License**: License information.

### Explanation

- **[`app.py`](app.py )**: The Flask application that serves the web interface and runs the tests.
- **`harmonic_balancer.py`**: Contains the `HarmonicBalancer` class.
- **[`ecosystem.py`](ecosystem.py )**: Contains the `EnhancedHumanQuantumEcosystem` class.
- **[`quantum_reactor_simulation.py`](quantum_reactor_simulation.py )**: Contains the `QuantumReactor` class and its simulation methods.
- **[`quantum_system.py`](quantum_system.py )**: Contains the `QuantumSystem` class.
- **[`analysis.py`](analysis.py )**: Contains functions for analyzing the results.
- **[`field_applications.py`](field_applications.py )**: Provides example applications of the `HarmonicBalancer`.
- **[`visualization.py`](visualization.py )**: Contains functions for visualizing the results.
- **[`requirements.txt`](requirements.txt )**: Lists the project dependencies.
- **[`README.md`](README.md )**: Provides an overview of the project, installation instructions, usage examples, and contribution guidelines.
- **[`static/index.html`](static/index.html )**: The HTML5 file that serves as the frontend for the web application.
- **[`tests`](tests )**: Directory containing test scripts.
- **`test_harmonic_balancer.py`**: Tests for the `HarmonicBalancer` class.
- **`test_ecosystem.py`**: Tests for the `EnhancedHumanQuantumEcosystem` class.
- **`test_quantum_reactor.py`**: Tests for the `QuantumReactor` class.
- **[`CONTRIBUTING.md`](CONTRIBUTING.md )**: Provides guidelines for contributing to the project.
- **[`docs`](docs )**: Directory for documentation files.
- **`The_Foundation_of_Resonant_Harmonics.pdf`**: PDF file containing information on the findings and base equation.
- **`average_complexity_over_time.png`**: Image file.
- **`complexity_over_time.png`**: Image file.

## Usage Examples

**Mathematical Constants**

```python
import numpy as np
from harmonic_balancer import HarmonicBalancer

def pi_objective_function(vector, param):
return np.sum(vector) * np.pi

balancer = HarmonicBalancer(num_qubits=4, max_iterations=100, harmony_memory_size=10, objective_function=pi_objective_function)
best_solution, best_score = balancer.run_experiment()

print("Best solution:", best_solution)
print("Best score:", best_score)
```

**Scientific Applications**

```python
import numpy as np
from harmonic_balancer import HarmonicBalancer

def exp_objective_function(vector, param):
return np.sum(np.exp(vector))

balancer = HarmonicBalancer(num_qubits=4, max_iterations=100, harmony_memory_size=10, objective_function=exp_objective_function)
best_solution, best_score = balancer.run_experiment()

print("Best solution:", best_solution)
print("Best score:", best_score)
```

**Musical Applications**

```python
import numpy as np
from harmonic_balancer import HarmonicBalancer

def sine_objective_function(vector, param):
return np.sum(np.sin(vector))

balancer = HarmonicBalancer(num_qubits=4, max_iterations=100, harmony_memory_size=10, objective_function=sine_objective_function)
best_solution, best_score = balancer.run_experiment()

print("Best solution:", best_solution)
print("Best score:", best_score)
```

**Image Processing**

```python
import numpy as np
from harmonic_balancer import HarmonicBalancer

def image_processing_objective_function(vector, param):
# Simulate an image processing function
return np.sum(vector) * 255 # Example: scaling pixel values

balancer = HarmonicBalancer(num_qubits=4, max_iterations=100, harmony_memory_size=10, objective_function=image_processing_objective_function)
best_solution, best_score = balancer.run_experiment()

print("Best solution:", best_solution)
print("Best score:", best_score)
```

## Web Application

**Setting Up The Web Application**
To set up the web application, follow these steps:

1. Install Dependencies: Ensure all dependencies are installed

To install the required dependencies, run:

```sh
pip install -r requirements.txt
```

2. Run the Flask Application

```
python app.py
```
3. Access the Frontend: Open your browser and go to http://127.0.0.1:5000/ to access the frontend

# Running Tests via the Web Interface

1. **Open the Web Interface**: Go to http://127:.0.0.1:5000/ in your web browser.
2. **Run Tests**: Click the "Run All Tests" button to start the tests
3. **View Results**: The test results will be displayed in the "Test Results" section on the page.

## Testing

Run the tests using:

```sh
python -m unitest descover tests
```

## Contributing

If you would like to contribute to this project, please fork the repository and sumbit a pull request.

## License

This project is Licensed under the MIT License