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Choosing an Array Language / The Games We Play

The Array Cast

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Algebra and Matrix Division in APL

There are some optimization problems that you might not immediately connect with in algebra, but they're actually solvable using matrix division. So many programming languages will have matrix multiplication, which in APL is known as plus dot times and in J is plus slash space dot times. But then this generalization of separating out the summation and the multiplication so you can slot in other functions made people realize that they can use it in all kinds of fancy for ways.

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