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GSL Shell : Library and Lua shell interface binding to the GNU Scientific Library (GSL), including matrices, vectors, and various math routines
Redis fork : Redis is an in-memory database that persists on disk. The data model is key-value, but many different kind of values are supported: Strings, Lists, Sets, Sorted Sets, Hashes. Redis embeds Lua; this fork switches from PUC-Lua to LuaJIT.
Tarantool : Tarantool is a replicated, persistent in-memory database and a LuaJIT application server.
Csound : Csound is a user-programmable, open source, cross-platform software sound synthesis system and music composition system. Csound is its own language, but embeds LuaJIT to provide a more advanced programming paradigm, primarily for algorithmic composition, but also for sound synthesis.