Recursive Magic: Defining e^x and Trig Functions with Infinite Python Generators
2025-04-21
This post showcases a clever trick using infinite Python generators to recursively define mathematical functions. By recursively defining a generator for positive integers and leveraging Taylor series expansions, the author demonstrates how to generate the Taylor series coefficients for e^x, sin x, and cos x recursively, relying only on their integral relationships without predefining their expressions. The post also includes an optimization using a memoize decorator to improve performance and avoid recursion depth limits.
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Infinite Generators