Test Jupyter Notebook Integration

This notebook demonstrates how Jupyter notebooks can be integrated into the AstroWind blog.

Features

• Code execution and output
• Data visualization
• Mathematical equations
• Markdown cells

# Simple Python code example
import numpy as np
import matplotlib.pyplot as plt

# Generate some data
x = np.linspace(0, 2*np.pi, 100)
y = np.sin(x)

print(f"Generated {len(x)} data points")
print(f"Min value: {y.min():.3f}, Max value: {y.max():.3f}")

Visualization

Let’s create a simple plot:

plt.figure(figsize=(10, 6))
plt.plot(x, y, 'b-', linewidth=2, label='sin(x)')
plt.plot(x, np.cos(x), 'r--', linewidth=2, label='cos(x)')
plt.xlabel('x')
plt.ylabel('y')
plt.title('Trigonometric Functions')
plt.legend()
plt.grid(True, alpha=0.3)
plt.show()

Mathematical Equations

The wave equation:

$\frac{\partial^2 u}{\partial t^2} = c^2 \nabla^2 u$

Where $c$ is the wave speed and $\nabla^2$ is the Laplacian operator.

Conclusion

This notebook demonstrates the integration of:

• Code execution: Python code with numpy and matplotlib
• Output display: Print statements and visualizations
• LaTeX equations: Mathematical notation
• Rich markdown: Headers, lists, and formatting