1. Introduction
Use this space to motivate the problem or idea. Explain the context briefly and mention any prerequisites (for example: basic topology, linear algebra, or familiarity with Python).
Then continue with normal paragraphs. You can mix inline mathematics written in LaTeX-like
notation if you are rendering via MathJax (e.g., \\int f(x)\\,dx), or keep the
post fully text-based if you prefer.
$$ \int f(x)\,dx $$
When $a \ne 0$, there are two solutions to $ax^2 + bx + c = 0$, and they are $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$
2. Main idea
Break the post into logical sections. Use <h2> for main sections and
<h3> for subsections.
2.1 Example with code
For small code snippets, use inline <code>. For longer blocks,
<pre><code> works well:
# Example Python snippet
import numpy as np
def toy_filtration(x):
"""Example helper for a blog post."""
return np.sort(x)
points = np.random.randn(100, 2)
values = toy_filtration(points[:, 0])
print(values[:5])
You can also include figures by placing them in the assets/ folder and
referencing them with an <img> tag:
3. Wrap-up
Finish with a short summary of the main takeaways, possible extensions, and references to papers or software. You can add a short bibliography as a list:
- Author A., Author B. Title of the paper. Journal, year.
- Link to a GitHub repository or dataset.
If you notice any errors or have suggestions, feel free to send me an email.