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What's important is that APL language family isn't a domain-specific one, suitable for some particular tasks in a narrow niche. To the contrary, they are languages of computations, allowing rather short paths from thought to implementation of an algorithm, compared to other languages.

I'm sure K knowledge and experience ensure the practitioner powerful tools for wide variety of problems in many areas.

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Still, for me it is quite hard to imagine what would I create with APL.

Usually, when trying a language, my instinct is to implement a web-service. Or a simple gui-app, with some library.

With APL, I am looking at it and wonder. I looks powerful. But what should I do with it? Make a compiler? A database? How does I/O even work there?

In K, usually the I/O primitives you have are the "colon" operators, stuff like 4:.

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