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Explore the real-world challenges and solutions of embedding Julia programming language in ASML's cutting-edge photolithography machines used for advanced semiconductor manufacturing. Learn how engineers at ASML, the world's leading producer of chip-making equipment, implemented Julia algorithms to maintain sub-nanometer precision while processing 300 wafers per hour, with each exposure completing in under 40 milliseconds. Discover the technical hurdles faced when deploying Julia in a high-performance, time-critical industrial environment where complex correction models must execute in parallel within 30 milliseconds per exposure. Examine the practical application of Julia's new ahead-of-time compiler `juliac` for creating deployable algorithms, including the specific challenges encountered during implementation and the innovative solutions developed to integrate Julia-based algorithms with existing machine facilities and other computational components. Gain insights into performance optimization strategies, consistent execution requirements, and the deployment considerations necessary when using Julia in mission-critical manufacturing systems that produce the world's most advanced semiconductor chips.