> Shouldn't there be a diagram of the complex plane so that people can see what it's the right half plane of?
Author here. Yes! Very fair criticism. I was trying to strike a balance between making the concept approachable for those who don't have a background involving complex numbers, but that certainly leaves the name of the concept more confusing. I should add it in a footnote at least.
And I did honestly not think about the potential for confusion between plane // airplane. An airplane was the most familiar example system I could think of to explain the concept. Oops!
> Perhaps the first lesson is that even if you know how a system works, you can't just take the inverse function to control what comes out.
That's a great point too. It probably even deserves its own article.
Author here. Yes! Very fair criticism. I was trying to strike a balance between making the concept approachable for those who don't have a background involving complex numbers, but that certainly leaves the name of the concept more confusing. I should add it in a footnote at least.
And I did honestly not think about the potential for confusion between plane // airplane. An airplane was the most familiar example system I could think of to explain the concept. Oops!
> Perhaps the first lesson is that even if you know how a system works, you can't just take the inverse function to control what comes out.
That's a great point too. It probably even deserves its own article.