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This is body text following an h1. The quick brown fox jumps over the lazy dog. Here’s some inline code and inline math $E = mc^2$ to show sizing.

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This is body text following an h2. Lorem ipsum dolor sit amet, consectetur adipiscing elit. Here’s more inline code and math $\int_0^\infty e^{-x^2} dx = \frac{\sqrt{\pi}}{2}$ inline.

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This is body text following an h3. Sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.

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This is body text following an h4. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris.

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This is body text following an h5. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore.

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This is body text following an h6. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

Welcome to my blog! This is a test post demonstrating all the features.

Math Support

Here’s an inline equation: $E = mc^2$ .

And a block equation showing Maxwell’s first equation:

\nabla \cdot \mathbf{E} = \frac{\rho}{\varepsilon_0}

Here’s the softmax function commonly used in machine learning:

\text{softmax}(x_i) = \frac{e^{x_i}}{\sum_{j} e^{x_j}}

Code

inline code Here’s some Python code:

def hello():
    print("Hello, world!")

# A simple neural network layer
class Linear:
    def __init__(self, in_features, out_features):
        self.weight = np.random.randn(in_features, out_features)
        self.bias = np.zeros(out_features)

    def forward(self, x):
        return x @ self.weight + self.bias

And some TypeScript:

interface Post {
  title: string;
  pubDate: Date;
  tags: string[];
}

const formatDate = (date: Date): string => {
  return date.toLocaleDateString('en-US', {
    year: 'numeric',
    month: 'long',
    day: 'numeric'
  });
};

Typography

This paragraph demonstrates the clean, reader-focused typography inspired by Practical Typography. Notice the generous line height, comfortable font size, and optimal line width for reading.

A blockquote adds visual variety and helps break up long passages of text. This style is intentionally understated.

Lists

Here are some things I’m interested in:

Deep learning and neural network optimization
Programming language theory and type systems
Immunology and autoimmune disease research
Open source software and the NixOS ecosystem

And a numbered list:

First, understand the problem
Then, design a solution
Finally, implement and iterate

That’s all for now. More posts coming soon!