Sitting here doing nothing else, I figured I might mention that I used the term "identity" this morning in the context of a fraction's conjugate. It occurs to me that I likely used that word improperly. While I find math fascinating, I mostly noodle around with it and so I'm inclined to often make mistakes.

Basically, we're multiplying by 1, which doesn't change the value of the expression. So it remains an "identity." It does alter the terms in a way that is helpful.

But yeah, I probably used the word wrong. As always, like ChatGPT, I'm an authority on nothing. I make all this shit up. You're encouraged to do your own thinking.