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Explore three proposed new primitives for the APL programming language in this 44-minute conference talk from Dyalog '22. Delve into how these additions aim to make the language more complete, complementing existing function composition operators, generalizing each in a manner similar to the rank operator, and providing a functional form for the remaining uses of square bracket indexing. Learn about data transformation through select/permute operations, function application with the depth operator, and function composition using the behind operator. Gain insights into the core language enhancements and their potential impact on APL programming.