A case of mixed identities

What identities can one expect to encounter in a textbook? Countless, it appears. After spending the sunniest part of two full days exploring theory, I still do not feel I have covered all bases. My paragraphs are packed with phrases like "for instance" and "to name a few."

I should probably assemble a more complete list, but for now they will remain a six-page jumble. I need a glass of something cold, a fleece and an hour of r&r.