`5 3 2 + 4 2 1`

How would you define APL's array programming model?

APL's array programming model is a paradigm where data is represented as arrays and operations are performed on these arrays as a whole rather than on individual elements. This allows for concise and expressive code.

What are the basic data types in APL?

The basic data types in APL are numeric (including both integers and floating-point numbers), character (representing individual characters), and arrays (which can hold any combination of numeric and character data).

Describe the difference between scalar and non-scalar functions in APL.

Scalar functions in APL operate element-wise on arrays, meaning they perform their operation on each element of the array individually. Non-scalar functions, on the other hand, can manipulate the array as a whole.

How would you use the iota function in APL?

The iota function in APL is used to generate a vector of consecutive integers. For example, '?5' would generate the vector 1 2 3 4 5.

What are the uses of the rho function in APL?

The rho function in APL has two main uses. It can be used to reshape an array, changing its dimensions while keeping its elements, or it can be used to find the shape of an array, returning a vector that represents the array's dimensions.

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Does the candidate demonstrate a clear understanding of APL programming language?

Can the candidate effectively communicate their thought process?

Does the candidate show good problem-solving skills?

Is the candidate familiar with the tools and technologies that are used in your organization?

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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What does the following APL code do? `5 3 2 + 4 2 1`

`5 3 2 + 4 2 1`

This code performs element-wise addition of two vectors. The output will be a vector of `9 5 3`.

What will be the output of the following APL code? `?10`

`?10`

This code generates a vector of the first 10 natural numbers starting from 1. The output will be `1 2 3 4 5 6 7 8 9 10`.

What does the following APL code do? `3 3??9`

`3 3??9`

This code generates a 3x3 matrix with the first 9 natural numbers. The output will be a matrix with rows `1 2 3`, `4 5 6`, and `7 8 9`.

What will be the output of the following APL code? `2 2??4`

`2 2??4`

This code generates a 2x2 matrix with the first 4 natural numbers. The output will be a matrix with rows `1 2` and `3 4`.

What are the uses of the enclose and disclose functions in APL?

The enclose function in APL, represented by the symbol '?', is used to group elements of an array into a single element, while the disclose function, represented by the symbol '?', is used to separate a grouped element back into its constituent elements.

Describe the difference between the execute and format functions in APL.

The execute function in APL, represented by the symbol '?', is used to evaluate a string of APL code, while the format function, represented by the symbol '?', is used to convert APL data into a string representation.

How would you handle errors in APL?

Errors in APL can be handled using the error guard function '?EA'. This function takes a string of APL code as its right argument and a value as its left argument. If the code produces an error, the function returns the left argument; otherwise, it returns the result of the code.

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