Simulating Complexity with JavaScript & KaTeX: The Race of Functions 💻 In my spare time, I love bringing mathematical concepts to life through visualization. My latest project is a "Function Race" that pits different growth rates against each other to see which one truly dominates as x approaches 50. While we often hear that the Factorial function (x!) is incredibly fast, it’s fascinating to watch x^x (Self-exponentiation) step onto the track and leave everything else in the dust. Technical Highlights of the Project: ✅ Rendering: Built with HTML5 Canvas for smooth, high-performance animations. ✅ Typography: Integrated KaTeX for high-quality, real-time LaTeX mathematical notation rendering directly over the canvas. ✅ Dynamic Sorting: Implemented a real-time easing algorithm to rearrange the bars based on their current values, creating a smooth "racing" effect. ✅ Mathematical Precision: Used Stirling’s approximation to ensure smooth growth transitions for x! across the real number line. This was a fun way to visualize why choosing the right algorithm and understanding Big O notation is so critical in software development. Polynomial growth might look manageable at first, but once you hit Exponential or Super-Exponential scales, the world changes! What’s your favorite "hidden boss" function that grows faster than people expect? Let's discuss in the comments! 👇 🔗 Explore the logic of mathematics and engineering on my YouTube channel: [https://lnkd.in/dDc4Tv5z #CreativeCoding #JavaScript #WebDevelopment #Mathematics #DataVisualization #Algorithms #BigO #STEM #SoftwareEngineering #CodingLife

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