This is a plain paragraph to establish baseline rhythm and spacing. It includes a short inline equation like E=mc2E = mc^2 and a reference to α+β=γ\alpha + \beta = \gamma within a sentence.1

Here is a second paragraph to test flow after inline math. The content stays light, with a quick link to Astro and a bit of inline code to check monospace rendering.2

export function greet(name) {
  return `Hello, ${name}!`;
}

That code block sits between two paragraphs to validate spacing and line-height. The next paragraph includes more inline math: σ2=1n∑i=1n(xi−μ)2\sigma^2 = \frac{1}{n} \sum_{i=1}^{n} (x_i - \mu)^2.

∫0∞e−x2 dx=π2\int_{0}^{\infty} e^{-x^2} \, dx = \frac{\sqrt{\pi}}{2}

A paragraph after a display equation should feel balanced and legible. This line checks the transition from block math back into prose, with a small emphasis on readability and contrast.

# Build the site
npm run build

# Preview locally
npm run preview

Here is another paragraph after a shell snippet. It includes an inline formula like f(x)=x2+3x+2f(x) = x^2 + 3x + 2 and a short sentence to keep the rhythm consistent.

∇f(x)=[∂x1f(x)∂x2f(x)]=[2x12x2]\begin{aligned} \nabla f(x) &= \begin{bmatrix} \partial_{x_1} f(x) \\ \partial_{x_2} f(x) \end{bmatrix} \\ &= \begin{bmatrix} 2x_1 \\ 2x_2 \end{bmatrix} \end{aligned}

The final paragraphs include a list and a quote to vary the layout a bit more.3

  • A short list item with inline math a2+b2=c2a^2 + b^2 = c^2.
  • Another list item that references code and a link to MDX.
  • A third item to test vertical spacing.

Here is a small table to preview how tabular content renders alongside text and links to external sites like MDN and KaTeX:

LabelDetailNote
AlphaPrimary exampleUses standard text
BetaSecondary exampleContains x2+y2x^2 + y^2
GammaTertiary exampleReferences Example.com

A blockquote to check spacing, borders, and typography. It should be readable without overpowering the main text.

Closing paragraph to confirm the divider spacing and the end-of-post feel.

Section One

This paragraph follows an H1 heading to confirm spacing, sizing, and line height across a long-form post.

Subsection: Depth

Some additional text beneath the H2 to test hierarchy, including inline math like a=b+ca = b + c and a short sentence for rhythm.

Supporting Detail

Here we add a smaller heading and a few lines of prose to keep the hierarchy balanced. This should look visually distinct from the H2 but not overpower the body text.

Small Note

A final H4 to round out the heading scale, followed by a short line of text to see how it blends with paragraphs and other content elements.

Footnotes

  1. A footnote to verify spacing and the back-reference link. ↩

  2. Inline code should read like a small chip without breaking the line. ↩

  3. Lists should preserve spacing even when footnotes appear nearby. ↩