Hello, world (with a little LaTeX)

· A first post to sanity-check Markdown and math rendering.

Welcome to the blog. This site renders plain Markdown with LaTeX math, so I can write posts the same way I write notes.

Inline math works with single dollar signs — Euler’s identity $e^{i\pi} + 1 = 0$ sits right in the sentence. Display math uses double dollar signs:

$$ \int_{-\infty}^{\infty} e^{-x^2}\,dx = \sqrt{\pi}. $$

You can write matrices, sums, and the usual machinery:

$$ \nabla_\theta J(\theta) = \mathbb{E}_{\tau \sim \pi_\theta} \left[ \sum_{t=0}^{T} \nabla_\theta \log \pi_\theta(a_t \mid s_t)\, R(\tau) \right]. $$

Code blocks are left untouched by the math renderer, so dollar signs inside them stay literal:

def reward(state, action):
    price = 5  # a literal $5, not math
    return -abs(state - action)

That’s it — to write a new post, drop a Markdown file in _posts/ named YYYY-MM-DD-title.md and it shows up on the blog.

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