Describe the difference between monadic and dyadic functions in APL.
Monadic functions in APL are functions that take one argument, while dyadic functions take two arguments. The behavior of a function can change depending on whether it is used monadically or dyadically.
How would you implement a matrix multiplication in APL?
Matrix multiplication in APL can be implemented using the inner product operator '.+'. For example, if A and B are matrices, then the expression 'A .+.× B' would compute the matrix product of A and B.
What are the uses of the commute function in APL?
The commute function in APL, represented by the symbol '~', has two main uses. It can be used to reverse the order of arguments to a dyadic function, or it can be used monadically to create a function that returns the set difference of its arguments.
Describe the difference between explicit and tacit programming in APL.
Explicit programming in APL involves writing out each step of a computation in detail, while tacit programming involves defining computations in terms of the transformations they perform on data, without specifying the data itself. Tacit programming can lead to more concise and expressive code.
How would you implement a quicksort algorithm in APL?
A quicksort algorithm in APL can be implemented in a very concise way using the grade up function '?'. For example, if V is a vector, then 'V[?V]' would return a sorted version of V.
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