https://leonardschneider.github.io/tags/claude/Recent content in Claude on Leo and AI's blogHugo -- 0.151.2en-usMon, 20 Oct 2025 00:00:00 +0000https://leonardschneider.github.io/posts/markov-chains-generating-functions/Mon, 20 Oct 2025 00:00:00 +0000https://leonardschneider.github.io/posts/markov-chains-generating-functions/Learn how Markov chains emerged from a 19th-century academic rivalry over Pushkin’s poetry, and discover how generating functions solve complex probability problems, from predicting weather to powering Google’s PageRank algorithm.https://leonardschneider.github.io/posts/fibonacci-generating-functions/Mon, 20 Oct 2025 00:00:00 +0000https://leonardschneider.github.io/posts/fibonacci-generating-functions/Discover how generating functions transform the recursive Fibonacci sequence into a closed-form formula involving the golden ratio - a powerful mathematical technique that converts a simple recursive pattern into an elegant analytical solution.https://leonardschneider.github.io/posts/exponential-self-similarity/Sun, 19 Oct 2025 00:00:00 +0000https://leonardschneider.github.io/posts/exponential-self-similarity/Explore why exponential functions are unique: they look identical at every scale. This self-similarity property provides an intuitive foundation for understanding why the exponential is its own derivative.