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Academic research. Or prototyping where you want higher performance than Python.

For anything else that requires long-term maintainability and has a business or someone's job depending on it, Julia is a risky choice to make. Few, if any, large organizations have done so yet, and usually don't want to go first.

Well after 1.0, if Julia Computing (who employ almost all of the core developers) is on sustainable financial footing and any large organizations have made investments into adopting and supporting Julia, it might make some sense for non-academic use cases.