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Does this function have a name?

For a, b > 0, max(a/b, b/a)

It seems like your function comes from a more primitive one-variable function, max(x,1/x). And you can make the relationship to absolute value explicit by writing that as exp(abs(log(x))) if you're into that kind of thing, I guess. None of this does much to answer your question, but your function is interesting and I wish to subscribe to your newsletter.

@christianp aspect ratio?

jsiehler@jsiehler@mathstodon.xyz@christianp I don't recall ever encountering a standard name for it! If I were using it I might be tempted to call it "absolute ratio" by analogy with the pretty common phrase "absolute difference."