Arthur Whitney is showing how to build an array language using C in array language form.
AW is known for kdb+ which is often used in finance due to its extreme performance properties and ability for quants to quickly explore ideas.
Personally, to get a better handle on how array languages worked, I implemented KlongPy which is a python implementation of Klong, which descends from K (which AW wrote).
You have to play with this stuff to understand it intuitively.