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Mathematical Examples
Inline Math
Here's some inline math: \(E = mc^2\) and the quadratic formula \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\).
The area of a circle is \(A = \pi r^2\) where \(r\) is the radius.
Display Math
Here's a more complex equation displayed on its own line:
\[ \int_{-\infty}^{\infty} e^{-x^2} dx = \sqrt{\pi} \]
Matrix operations are also supported:
\[\begin{bmatrix}a & b \\c & d\end{bmatrix}\begin{bmatrix}x \\y\end{bmatrix}=\begin{bmatrix}ax + by \\cx + dy\end{bmatrix}\]
The Fourier transform of a function \(f(t)\):
\[ F(\omega) = \int_{-\infty}^{\infty} f(t) e^{-i\omega t} dt \]
Diagram Examples
Process Flow
Here's a simple process flow using Mermaid:
flowchart TD A[Start] --> B{Is it working?} B -->|Yes| C[Great!] B -->|No| D[Debug] D --> E[Fix Issue] E --> B C --> F[End]
System Architecture
graph LR A[Client] --> B[Load Balancer] B --> C[API Gateway] C --> D[Service A] C --> E[Service B] D --> F[(Database A)] E --> G[(Database B)] C --> H[Message Queue] H --> I[Background Jobs]
Timeline/Gantt Chart
gantt title Development Timeline dateFormat YYYY-MM-DD section Planning Requirements :done, req, 2024-01-01, 2024-01-15 Design :done, design, 2024-01-10, 2024-01-25 section Development Backend API :active, backend, 2024-01-20, 2024-02-15 Frontend :frontend, after backend, 2024-02-20 Testing :testing, after frontend, 1w section Deployment Staging :staging, after testing, 3d Production :prod, after staging, 1d
Lorem Ipsum
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This post serves as a test for syntax highlighting capabilities across various programming languages commonly used in distributed systems and web development.
Rust Example
Here's a simple Raft consensus implementation in Rust:
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Go Example
A simple HTTP server with middleware:
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Python Example
Async web scraping with error handling:
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JavaScript/TypeScript Example
Modern React component with hooks and TypeScript:
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SQL Example
Complex query with CTEs and window functions:
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Configuration Examples
YAML configuration for Kubernetes deployment:
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JSON configuration example:
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