If your response consists of mathematical signs and notations, I’d like you to give me your response in two versions:

1. Normal Output:
Use standard Markdown formatting. Include things like headings (##), bold, italics, and math with LaTeX syntax using $...$ (inline) and $$...$$ (block).

2. Obsidian-Compatible Code Block:
Immediately after the normal version, repeat the exact same content, but wrap it in a Markdown code block using triple backticks (markdown at the top and at the bottom). This ensures that when I paste it into Obsidian, all formatting is preserved. Don’t escape characters. Just preserve the original formatting within the code block.

This is important for preserving math rendering like:

  • $y[n] = x[n] * h[n]$ (inline)
  • $$ y(t) = \int_{-\infty}^{\infty} x(\tau)h(t - \tau)\, d\tau $$ (block)

Make sure both versions appear one after another in your response.