Dirichlet Kernel Visualization

This repository contains a Jupyter Notebook (dirichlet.ipynb) for visualizing the Dirichlet kernel function.

Usage

To visualize the Dirichlet kernel function, follow these steps:

1. Clone this repository:

   git clone https://github.com/your-repo/dirichlet-visualization.git
   cd dirichlet-visualization

2. Ensure you have the necessary Python packages installed:

   pip install numpy matplotlib jupyter

3. Open the Jupyter Notebook:

   jupyter notebook dirichlet.ipynb

4. Run the notebook cells to generate the Dirichlet kernel plots.

Function Definition

The Dirichlet kernel function is defined as:

[ D_n(x) = \frac{\sin((n + 0.5)x)}{\sin(0.5x)} ]

Example Plot

Below is an example plot generated by the notebook: