Many primitives in array languages match the behaviour of certain combinators in combinatory logic. The page shows (left to right) the symbol for a certain combinator, its effective operation in APL syntax where x and y are left and right arguments (APL operators are either infix or single-parameter prefix) and F and G are similarly left and right function arguments, the 'bird' is a sort of colloquial name for a particular combinator, 'TinyAPL' is the operator that matches the combinator in the author's APL implementation, and the diagram is a way of explaining how the combinator works visually
BQN, another array language has a page of documentation describing the same concept for their language with a bit more explanation for the combinator newcomer: https://mlochbaum.github.io/BQN/tutorial/combinator.html
Can we solve for x and y? All I see is algebra here, is my intuition wrong?
Reasonably certain the practice of naming combinators after birds comes from “To mock a mockingbird” by Raymond Smullyan. Don’t have the book on hand to verify but figured I’d drop it here because it’s a great bunch of logical puzzles